kim woods

profile424690962
operations_management_term_paper_cai_liao_.rar

Chapter 6_Managing Quality.pdf

8/20/12

1

6 - 1

6 PowerPoint presentation to accompany Heizer and Render Operations Management, 10e Principles of Operations Management, 8e PowerPoint slides by Jeff Heyl

MG 6303 Prof.Vivek Veeraiah

Managing Quality

6 - 2

Outline

MG 6303 Prof.Vivek Veeraiah

u  Global Company Profile: Arnold Palmer Hospital

u  Quality and Strategy u  Defining Quality

u  Implications of Quality u  Malcolm Baldrige National Quality

Award u  Cost of Quality (COQ) u  Ethics and Quality Management

6 - 3

Outline – Continued

MG 6303 Prof.Vivek Veeraiah

u  International Quality Standards u  ISO 9000 u  ISO14000

6 - 4

Outline – Continued

MG 6303 Prof.Vivek Veeraiah

u  Total Quality Management u  Continuous Improvement u  Six Sigma u  Employee Empowerment u  Benchmarking u  Just-in-Time (JIT) u  Taguchi Concepts u  Knowledge of TQM Tools

6 - 5

Outline – Continued

MG 6303 Prof.Vivek Veeraiah

u  Tools of TQM u  Check Sheets u  Scatter Diagrams u  Cause-and-Effect Diagrams u  Pareto Charts u  Flowcharts u  Histograms u  Statistical Process Control (SPC)

6 - 6

Outline – Continued

MG 6303 Prof.Vivek Veeraiah

u  The Role of Inspection u  When and Where to Inspect u  Source Inspection u  Service Industry Inspection u  Inspection of Attributes versus

Variables u  TQM in Services

8/20/12

2

6 - 7

Learning Objectives When you complete this chapter you should be able to:

MG 6303 Prof.Vivek Veeraiah

1.  Define quality and TQM 2.  Describe the ISO international

quality standards 3.  Explain Six Sigma 4.  Explain how benchmarking is used 5.  Explain quality robust products and

Taguchi concepts 6.  Use the seven tools of TQM

6 - 8

Managing Quality Provides a Competitive

Advantage

MG 6303 Prof.Vivek Veeraiah

Arnold Palmer Hospital u  Deliver over 16,000 babies annually u  Virtually every type of quality tool is

employed u  Continuous improvement u  Employee empowerment u  Benchmarking u  Just-in-time u  Quality tools

6 - 9

Quality and Strategy

MG 6303 Prof.Vivek Veeraiah

An operations manager’s objective is to build a total quality

management system that identifies and satisfies customer needs

6 - 10

Quality and Strategy

MG 6303 Prof.Vivek Veeraiah

u  Managing quality supports differentiation, low cost, and response strategies

u  Quality helps firms increase sales and reduce costs

u  Building a quality organization is a demanding task

6 - 11

Two Ways Quality Improves Profitability

MG 6303 Prof.Vivek Veeraiah

Improved Quality

Increased Profits

u  Increased productivity u  Lower rework and scrap costs u  Lower warranty costs

Reduced Costs via

u  Improved response u  Flexible pricing u  Improved reputation

Sales Gains via

Figure 6.1 6 - 12

The Flow of Activities

MG 6303 Prof.Vivek Veeraiah

Organizational Practices Leadership, Mission statement, Effective operating procedures, Staff support, Training Yields: What is important and what is to be

accomplished Quality Principles

Customer focus, Continuous improvement, Benchmarking, Just-in-time, Tools of TQM Yields: How to do what is important and to be

accomplished Employee Fulfillment

Empowerment, Organizational commitment Yields: Employee attitudes that can accomplish

what is important Customer Satisfaction

Winning orders, Repeat customers Yields: An effective organization with

a competitive advantage Figure 6.2

8/20/12

3

6 - 13

Defining Quality

MG 6303 Prof.Vivek Veeraiah

The totality of features and characteristics of a product or

service that bears on its ability to satisfy stated or implied needs

American Society for Quality

6 - 14

Different Views

MG 6303 Prof.Vivek Veeraiah

u  User-based: better performance, more features

u  Manufacturing-based: conformance to standards, making it right the first time

u  Product-based: specific and measurable attributes of the product

6 - 15

Implications of Quality

MG 6303 Prof.Vivek Veeraiah

1.  Company reputation u  Perception of new products u  Employment practices u  Supplier relations

2.  Product liability u  Reduce risk

3.  Global implications u  Improved ability to compete

6 - 16

Key Dimensions of Quality

u  Performance u  Features u  Reliability u  Conformance

MG 6303 Prof.Vivek Veeraiah

u  Durability u  Serviceability u  Aesthetics u  Perceived

quality u  Value

6 - 17

Costs of Quality

MG 6303 Prof.Vivek Veeraiah

u  Prevention costs - reducing the potential for defects

u  Appraisal costs - evaluating products, parts, and services

u  Internal failure - producing defective parts or service before delivery

u  External costs - defects discovered after delivery

6 - 18

Costs of Quality

MG 6303 Prof.Vivek Veeraiah

External Failure

Internal Failure

Prevention

Appraisal

Total Cost

Quality Improvement

Total Cost

8/20/12

4

6 - 19

Ethics and Quality Management

MG 6303 Prof.Vivek Veeraiah

u  Operations managers must deliver healthy, safe, quality products and services

u  Poor quality risks injuries, lawsuits, recalls, and regulation

u  Organizations are judged by how they respond to problems

u  All stakeholders much be considered

6 - 20

International Quality Standards

MG 6303 Prof.Vivek Veeraiah

u  ISO 9000 series (Europe/EC) u  Common quality standards for products

sold in Europe (even if made in U.S.) u  2008 update places greater emphasis on

leadership and customer requirements and satisfaction

u  ISO 14000 series (Europe/EC)

6 - 21

ISO 14000 Environmental Standard Core Elements:

MG 6303 Prof.Vivek Veeraiah

u  Environmental management u  Auditing u  Performance evaluation u  Labeling u  Life cycle assessment

6 - 22

ISO 14000 Environmental Standard Advantages:

MG 6303 Prof.Vivek Veeraiah

u  Positive public image and reduced exposure to liability

u  Systematic approach to pollution prevention

u  Compliance with regulatory requirements and opportunities for competitive advantage

u  Reduction in multiple audits

6 - 23

TQM Encompasses entire organization, from supplier to

customer Stresses a commitment by management to have a

continuing, companywide drive toward excellence in all aspects of products and services that are important to

the customer

MG 6303 Prof.Vivek Veeraiah 6 - 24

Deming’s Fourteen Points

MG 6303 Prof.Vivek Veeraiah Table 6.2

1.  Create consistency of purpose 2.  Lead to promote change 3.  Build quality into the product; stop

depending on inspections 4.  Build long-term relationships based on

performance instead of awarding business on price

5.  Continuously improve product, quality, and service

8/20/12

5

6 - 25

Deming’s Fourteen Points

MG 6303 Prof.Vivek Veeraiah Table 6.2

6.  Start training 7.  Emphasize leadership 8.  Drive out fear 9.  Break down barriers between

departments 10.  Stop haranguing workers 11.  Support, help, and improve

6 - 26

Deming’s Fourteen Points

MG 6303 Prof.Vivek Veeraiah Table 6.2

12.  Remove barriers to pride in work 13.  Institute education and self-

improvement 14.  Put everyone to work on the

transformation

6 - 27

Seven Concepts of TQM 1.  Continuous improvement 2.  Six Sigma 3.  Employee empowerment 4.  Benchmarking 5.  Just-in-time (JIT) 6.  Taguchi concepts 7.  Knowledge of TQM tools

MG 6303 Prof.Vivek Veeraiah 6 - 28

Continuous Improvement

MG 6303 Prof.Vivek Veeraiah

u Represents continual improvement of all processes

u Involves all operations and work centers including suppliers and customers u People, Equipment, Materials,

Procedures

6 - 29

Shewhart’s PDCA Model

MG 6303 Prof.Vivek Veeraiah

4. Act Implement

the plan document

2. Do Test the

plan

3. Check Is the plan working?

1. Plan Identify the pattern and make a plan

Figure 6.3

6 - 30

Six Sigma

MG 6303 Prof.Vivek Veeraiah

u  Two meanings u  Statistical definition of a process that

is 99.9997% capable, 3.4 defects per million opportunities (DPMO)

u  A program designed to reduce defects, lower costs, and improve customer satisfaction

8/20/12

6

6 - 31

Six Sigma

MG 6303 Prof.Vivek Veeraiah

u  Two meanings u  Statistical definition of a process that

is 99.9997% capable, 3.4 defects per million opportunities (DPMO)

u  A program designed to reduce defects, lower costs, and improve customer satisfaction

Mean

Lower limits Upper limits

3.4 defects/million

±6σ

2,700 defects/million

±3σ

Figure 6.4

6 - 32

Six Sigma Program

MG 6303 Prof.Vivek Veeraiah

u  Originally developed by Motorola, adopted and enhanced by Honeywell and GE

u  Highly structured approach to process improvement u  A strategy u  A discipline - DMAIC 6σ

6 - 33

Six Sigma

MG 6303 Prof.Vivek Veeraiah

1.  Define critical outputs and identify gaps for improvement

2.  Measure the work and collect process data

3.  Analyze the data 4.  Improve the process 5.  Control the new process to

make sure new performance is maintained

DMAIC Approach

6 - 34

Six Sigma Implementation

MG 6303 Prof.Vivek Veeraiah

u  Emphasize defects per million opportunities as a standard metric

u  Provide extensive training u  Focus on corporate sponsor support

(Champions) u  Create qualified process improvement

experts (Black Belts, Green Belts, etc.) u  Set stretch objectives

This cannot be accomplished without a major commitment from top level management

6 - 35

Employee Empowerment

MG 6303 Prof.Vivek Veeraiah

u  Getting employees involved in product and process improvements u  85% of quality problems are due

to process and material u  Techniques

u  Build communication networks that include employees

u  Develop open, supportive supervisors u  Move responsibility to employees u  Build a high-morale organization u  Create formal team structures

6 - 36

Quality Circles

MG 6303 Prof.Vivek Veeraiah

u  Group of employees who meet regularly to solve problems

u  Trained in planning, problem solving, and statistical methods

u  Often led by a facilitator u  Very effective when done

properly

8/20/12

7

6 - 37

Benchmarking

MG 6303 Prof.Vivek Veeraiah

Use inte

rnal

benc hma

rkin g

if yo u’re

big

enou gh

Selecting best practices to use as a standard for performance

1.  Determine what to benchmark

2.  Form a benchmark team 3.  Identify benchmarking partners 4.  Collect and analyze benchmarking

information 5.  Take action to match or exceed the

benchmark 6 - 38

Best Practices for Resolving Customer

Complaints

MG 6303 Prof.Vivek Veeraiah

Best Practice Justification

Make it easy for clients to complain

It is free market research

Respond quickly to complaints

It adds customers and loyalty

Resolve complaints on first contact

It reduces cost

Use computers to manage complaints

Discover trends, share them, and align your services

Recruit the best for customer service jobs

It should be part of formal training and career advancement

Table 6.3

6 - 39

Just-in-Time (JIT) Relationship to quality:

MG 6303 Prof.Vivek Veeraiah

u  JIT cuts the cost of quality u  JIT improves quality u  Better quality means less

inventory and better, easier-to- employ JIT system

6 - 40

Just-in-Time (JIT)

MG 6303 Prof.Vivek Veeraiah

u  ‘Pull’ system of production scheduling including supply management u  Production only when signaled

u  Allows reduced inventory levels u  Inventory costs money and hides process

and material problems u  Encourages improved process and

product quality

6 - 41

Just-In-Time (JIT) Example

MG 6303 Prof.Vivek Veeraiah

Scrap Unreliable Vendors Capacity

Imbalances

Work in process inventory level

(hides problems)

6 - 42

Just-In-Time (JIT) Example

MG 6303 Prof.Vivek Veeraiah

Reducing inventory reveals problems so they can be solved

Scrap Unreliable Vendors Capacity

Imbalances

8/20/12

8

6 - 43

Taguchi Concepts

MG 6303 Prof.Vivek Veeraiah

u  Engineering and experimental design methods to improve product and process design u  Identify key component and process

variables affecting product variation u  Taguchi Concepts

u  Quality robustness u  Quality loss function u  Target-oriented quality

6 - 44

Quality Robustness

MG 6303 Prof.Vivek Veeraiah

u  Ability to produce products uniformly in adverse manufacturing and environmental conditions u  Remove the effects of adverse

conditions u  Small variations in materials and

process do not destroy product quality

6 - 45

Quality Loss Function

MG 6303 Prof.Vivek Veeraiah

u  Shows that costs increase as the product moves away from what the customer wants

u  Costs include customer dissatisfaction, warranty and service, internal scrap and repair, and costs to society

u  Traditional conformance specifications are too simplistic

Target- oriented

quality

6 - 46

Quality Loss Function

MG 6303 Prof.Vivek Veeraiah

Unacceptable

Poor

Good Best

Fair

High loss

Loss (to producing organization, customer, and society)

Low loss

Frequency

Lower Target Upper Specification

Target-oriented quality yields more product in the “best” category

Target-oriented quality brings product toward the target value Conformance-oriented quality keeps products within 3 standard deviations

Figure 6.5

L = D2C where

L = loss to society D = distance from

target value C = cost of deviation

6 - 47

Tools of TQM

MG 6303 Prof.Vivek Veeraiah

u  Tools for Generating Ideas u  Check sheets u  Scatter diagrams u  Cause-and-effect diagrams

u  Tools to Organize the Data u  Pareto charts u  Flowcharts

6 - 48

Tools of TQM

MG 6303 Prof.Vivek Veeraiah

u  Tools for Identifying Problems u  Histogram u  Statistical process control chart

8/20/12

9

6 - 49

Seven Tools of TQM

MG 6303 Prof.Vivek Veeraiah

/ /

/ / /// / // /// // ////

/// // /

Hour Defect 1 2 3 4 5 6 7 8

A B C

/ / //

/

(a) Check Sheet: An organized method of recording data

Figure 6.6 6 - 50

Seven Tools of TQM

MG 6303 Prof.Vivek Veeraiah

(b) Scatter Diagram: A graph of the value of one variable vs. another variable

Absenteeism

P ro

du ct

iv ity

Figure 6.6

6 - 51

Seven Tools of TQM

MG 6303 Prof.Vivek Veeraiah

(c) Cause-and-Effect Diagram: A tool that identifies process elements (causes) that might effect an outcome

Figure 6.6

Cause Materials Methods

Manpower Machinery

Effect

6 - 52

Seven Tools of TQM

MG 6303 Prof.Vivek Veeraiah

(d) Pareto Chart: A graph to identify and plot problems or defects in descending order of frequency

Figure 6.6

Fr eq

ue nc

y

P er

ce nt

A B C D E

6 - 53

Seven Tools of TQM

MG 6303 Prof.Vivek Veeraiah

(e) Flowchart (Process Diagram): A chart that describes the steps in a process

Figure 6.6 6 - 54

Seven Tools of TQM

MG 6303 Prof.Vivek Veeraiah

(f) Histogram: A distribution showing the frequency of occurrences of a variable

Figure 6.6

Distribution

Repair time (minutes)

Fr eq

ue nc

y

8/20/12

10

6 - 55

Seven Tools of TQM

MG 6303 Prof.Vivek Veeraiah

(g) Statistical Process Control Chart: A chart with time on the horizontal axis to plot values of a statistic

Figure 6.6

Upper control limit

Target value

Lower control limit

Time

6 - 56

Cause-and-Effect Diagrams

MG 6303 Prof.Vivek Veeraiah

Material (ball)

Method (shooting process)

Machine (hoop &

backboard) Manpower (shooter)

Missed free-throws

Figure 6.7

Rim alignment

Rim size

Backboard stability

Rim height

Follow-through

Hand position

Aiming point

Bend knees

Balance

Size of ball

Lopsidedness

Grain/Feel (grip)

Air pressure

Training

Conditioning Motivation

Concentration

Consistency

6 - 57

Pareto Charts

MG 6303 Prof.Vivek Veeraiah

Number of occurrences

Room svc Check-in Pool hours Minibar Misc. 72% 16% 5% 4% 3%

12 4 3 2

54

– 100 – 93 – 88 – 72

70 –

60 –

50 –

40 –

30 –

20 –

10 –

0 –

Fr eq

ue nc

y (n

um be

r)

Causes and percent of the total

C um

ul at

iv e

pe rc

en t

Data for October

6 - 58

Flow Charts

MG 6303 Prof.Vivek Veeraiah

MRI Flowchart 1.  Physician schedules MRI 2.  Patient taken to MRI 3.  Patient signs in 4.  Patient is prepped 5.  Technician carries out MRI 6.  Technician inspects film

7.  If unsatisfactory, repeat 8.  Patient taken back to room 9.  MRI read by radiologist 10.  MRI report transferred to

physician 11.  Patient and physician discuss

11

10

20%

9

8 80%

1 2 3 4 5 6 7

6 - 59

Statistical Process Control (SPC)

MG 6303 Prof.Vivek Veeraiah

u  Uses statistics and control charts to tell when to take corrective action

u  Drives process improvement u  Four key steps

u  Measure the process u  When a change is indicated, find the

assignable cause u  Eliminate or incorporate the cause u  Restart the revised process

6 - 60

An SPC Chart

MG 6303 Prof.Vivek Veeraiah

Upper control limit

Coach’s target value

Lower control limit

Game number

| | | | | | | | | 1 2 3 4 5 6 7 8 9

20%

10%

0%

Plots the percent of free throws missed

Figure 6.8

8/20/12

11

6 - 61

Inspection

MG 6303 Prof.Vivek Veeraiah

u  Involves examining items to see if an item is good or defective

u  Detect a defective product u  Does not correct deficiencies in

process or product u  It is expensive

u  Issues u  When to inspect u  Where in process to inspect

6 - 62

When and Where to Inspect

MG 6303 Prof.Vivek Veeraiah

1.  At the supplier’s plant while the supplier is producing

2.  At your facility upon receipt of goods from the supplier

3.  Before costly or irreversible processes 4.  During the step-by-step production process 5.  When production or service is complete 6.  Before delivery to your customer 7.  At the point of customer contact

6 - 63

Inspection

MG 6303 Prof.Vivek Veeraiah

u  Many problems u  Worker fatigue u  Measurement error u  Process variability

u  Cannot inspect quality into a product

u  Robust design, empowered employees, and sound processes are better solutions

6 - 64

Source Inspection

MG 6303 Prof.Vivek Veeraiah

u  Also known as source control u  The next step in the process is

your customer u  Ensure perfect product

to your customer

Poka-yoke is the concept of foolproof devices or techniques designed to pass only

acceptable product

6 - 65

Service Industry Inspection

MG 6303 Prof.Vivek Veeraiah

Organization What is Inspected Standard

Jones Law Office Receptionist performance Billing Attorney

Is phone answered by the second ring Accurate, timely, and correct format Promptness in returning calls

Table 6.4

6 - 66

Service Industry Inspection

MG 6303 Prof.Vivek Veeraiah

Organization What is Inspected Standard

Hard Rock Hotel

Reception desk Doorman Room Minibar

Use customer’s name Greet guest in less than 30 seconds All lights working, spotless bathroom Restocked and charges accurately posted to bill

Table 6.4

8/20/12

12

6 - 67

Service Industry Inspection

MG 6303 Prof.Vivek Veeraiah

Organization What is Inspected Standard

Arnold Palmer Hospital

Billing Pharmacy Lab Nurses Admissions

Accurate, timely, and correct format Prescription accuracy, inventory accuracy Audit for lab-test accuracy Charts immediately updated Data entered correctly and completely

Table 6.4

6 - 68

Service Industry Inspection

MG 6303 Prof.Vivek Veeraiah

Organization What is Inspected Standard

Olive Garden Restaurant

Busboy Busboy Waiter

Serves water and bread within 1 minute Clears all entrée items and crumbs prior to dessert Knows and suggest specials, desserts

Table 6.4

6 - 69

Service Industry Inspection

MG 6303 Prof.Vivek Veeraiah

Organization What is Inspected Standard

Nordstrom Department Store

Display areas Stockrooms Salesclerks

Attractive, well-organized, stocked, good lighting Rotation of goods, organized, clean Neat, courteous, very knowledgeable

Table 6.4

6 - 70

Attributes Versus Variables

u  Attributes u  Items are either good or bad, acceptable

or unacceptable u  Does not address degree of failure

u  Variables u  Measures dimensions such as weight,

speed, height, or strength u  Falls within an acceptable range

u  Use different statistical techniques

MG 6303 Prof.Vivek Veeraiah

6 - 71

TQM In Services

MG 6303 Prof.Vivek Veeraiah

u  Service quality is more difficult to measure than the quality of goods

u  Service quality perceptions depend on u  Intangible differences between

products u  Intangible expectations customers

have of those products

6 - 72

Service Quality

MG 6303 Prof.Vivek Veeraiah

The Operations Manager must recognize:

1.  The tangible component of services is important

2.  The service process is important 3.  The service is judged against the

customer’s expectations 4.  Exceptions will occur

8/20/12

13

6 - 73

Service Specifications

at UPS

MG 6303 Prof.Vivek Veeraiah 6 - 74

Determinants of Service Quality

MG 6303 Prof.Vivek Veeraiah

Reliability Consistency of performance and dependability

Responsiveness Willingness or readiness of employees

Competence Required skills and knowledge

Access Approachability and ease of contact

Courtesy Politeness, respect, consideration, friendliness

Communication Keeping customers informed

Credibility Trustworthiness, believability, honesty

Security Freedom from danger, risk, or doubt Understanding/ knowing the customer Understand the customer’s needs

Tangibles Physical evidence of the service

Table 6.5

6 - 75

Service Recovery Strategy

u  Managers should have a plan for when services fail

u  Marriott’s LEARN routine u  Listen u  Empathize u  Apologize u  React u  Notify

MG 6303 Prof.Vivek Veeraiah

this is operations management book.pdf

This page intentionally left blank

Prentice Hall Boston Columbus Indianapolis New York San Francisco Upper Saddle River

Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo

Jesse H. Jones Professor of Business Administration Texas Lutheran University

Charles Harwood Professor of Operations Management Crummer Graduate School of Business

Rollins College

Editorial Director: Sally Yagan Editor in Chief: Eric Svendsen Senior Acquisitions Editor: Chuck Synovec Editorial Project Manager: Mary Kate Murray Editorial Assistant: Jason Calcano Director of Marketing: Patrice Lumumba Jones Marketing Manager: Anne Fahlgren Marketing Assistant: Melinda Jones Senior Managing Editor: Judy Leale Project Manager: Mary Kate Murray Senior Operations Supervisor: Arnold Vila Operations Specialist: Cathleen Petersen Manager, Design Development: John Christiana Interior and Cover Designer: Laura Gardner Manager, Visual Research: Beth Brenzel

Manager, Rights and Permissions: Zina Arabia Image Permission Coordinator: Annette Linder Photo Researcher: Sheila Norman Cover Photo: Igor Dutina/iStockphoto.com Permissions Project Manager: Shannon Barbe Media Project Manager, Editorial:

Allison Longley Media Project Manager, Production: Lisa Rinaldi Supplements Editor: Mary Kate Murray Full-Service Project Management: PreMediaGlobal Composition: PreMediaGlobal Printer/Binder: Courier/Kendalville Cover Printer: Lehigh-Phoenix Color/Hagerstown Text Font: 10/12 Times

10 9 8 7 6 5 4 3 2 1

Credits and acknowledgments borrowed from other sources and reproduced, with permission, in this textbook appear on appropriate page within text (or on pages P1–P2).

Microsoft® and Windows® are registered trademarks of the Microsoft Corporation in the U.S.A. and other countries. Screen shots and icons reprinted with permission from the Microsoft Corporation. This book is not sponsored by or affiliated with the Microsoft Corporation.

Copyright © 2012, 2009, 2007, 2005 Pearson Education, Inc., publishing as Prentice Hall, One Lake Street, Upper Saddle River, New Jersey 07458. All rights reserved. Manufactured in the United States of America. This publication is protected by Copyright, and permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. To obtain permission(s) to use material from this work, please submit a written request to Pearson Education, Inc., Permissions Department, One Lake Street, Upper Saddle River, New Jersey 07458.

Many of the designations by manufacturers and seller to distinguish their products are claimed as trademarks. Where those designations appear in this book, and the publisher was aware of a trademark claim, the designations have been printed in initial caps or all caps.

Library of congress cataloging-in-publication data

ISBN 10: 0-13-216392-6 ISBN 13: 978-0-13-216392-7

Heizer, Jay H. Operations management / Jay Heizer, Barry Render. — 10th ed., Flexible version.

p. cm. Includes bibliographical references and index. ISBN-13: 978-0-13-216392-7 (alk. paper) ISBN-10: 0-13-216392-6 (alk. paper)

1. Production management. I. Render, Barry. II. Title. TS155.H3726 2010 658.5—dc22

2010039417

To: Tristan, Sebastian, Max, Kate, Owen, Clara; the next generation is in good hands.

—JH

To: Suzan, Samantha, Dara, and Joey —BR

Jay Heizer Professor Emeritus, the Jesse H. Jones Chair of Business Administration, Texas Lutheran University, Seguin, Texas. He received his B.B.A. and M.B.A. from the University of North Texas and his Ph.D. in Management and Statistics from Arizona State University. He was previously a member of the faculty at the University of Memphis, the University of Oklahoma, Virginia Commonwealth University, and the University of Richmond. He has also held visit- ing positions at Boston University, George Mason University, the Czech Management Center, and the Otto-Von-Guericka University, Magdeburg.

Dr. Heizer’s industrial experience is extensive. He learned the practical side of operations management as a machinist apprentice at Foringer and Company, as a production planner for Westinghouse Airbrake, and at General Dynamics, where he worked in engineering administration. In addition, he has been actively involved in consulting in the OM and MIS areas for a variety of organizations, including Philip Morris, Firestone, Dixie Container Corporation, Columbia Industries, and Tenneco. He holds the CPIM certification from APICS—the Association for Operations Management.

Professor Heizer has co-authored 5 books and has published more than 30 articles on a variety of management topics. His papers have appeared in the Academy of Management Journal, Journal of Purchasing, Personnel Psychology, Production & Inventory Control Management, APICS—The Performance Advantage, Journal of Management History, IIE Solutions and Engineering Management, among others. He has taught operations manage- ment courses in undergraduate, graduate, and executive programs.

Barry Render Professor Emeritus, the Charles Harwood Professor of Operations Management, Crummer Graduate School of Business, Rollins College, Winter Park, Florida. He received his B.S. in Mathematics and Physics at Roosevelt University, and his M.S. in Operations Research and Ph.D. in Quantitative Analysis at the University of Cincinnati. He previously taught at George Washington University, University of New Orleans, Boston University, and George Mason University, where he held the Mason Foundation Professorship in Decision Sciences and was Chair of the Decision Science Department. Dr. Render has also worked in the aerospace industry, for General Electric, McDonnell Douglas, and NASA.

Professor Render has co-authored 10 textbooks for Prentice Hall, including Managerial Decision Modeling with Spreadsheets, Quantitative Analysis for Management, Service Management, Introduction to Management Science, and Cases and Readings in Management Science. Quantitative Analysis for Management, now in its 11th edition, is a leading text in that discipline in the United States and globally. Dr. Render’s more than 100 articles on a variety of management topics have appeared in Decision Sciences, Production and Operations Management, Interfaces, Information and Management, Journal of Management Information Systems, Socio-Economic Planning Sciences, IIE Solutions, and Operations Management Review, among others.

Dr. Render has been honored as an AACSB Fellow and was twice named a Senior Fulbright Scholar. He was Vice President of the Decision Science Institute Southeast Region and served as Software Review Editor for Decision Line for six years and as Editor of the New York Times Operations Management special issues for five years. From 1984 to 1993, Dr. Render was President of Management Service Associates of Virginia, Inc., whose technology clients included the FBI; the U.S. Navy; Fairfax County, Virginia; and C&P Telephone.

Dr. Render has taught operations management courses in Rollins College’s MBA and Executive MBA programs. He has received that school’s Welsh Award as leading Professor and was selected by Roosevelt University as the 1996 recipient of the St. Claire Drake Award for Outstanding Scholarship. In 2005, Dr. Render received the Rollins College MBA Student Award for Best Overall Course, and in 2009 was named Professor of the Year by full-time MBA students.

vi

About the Authors

PART ONE Introduction to Operations Management 1

1. Operations and Productivity 1 2. Operations Strategy in a Global

Environment 23

3. Project Management 47 4. Forecasting 83

PART TWO Designing Operations 123

5. Design of Goods and Services 123 6. Managing Quality 153

Supplement 6: Statistical Process Control 177

7. Process Strategy and Sustainability 201 Supplement 7: Capacity and Constraint Management 227

8. Location Strategies 251 9. Layout Strategies 273

10. Human Resources, Job Design, and Work Measurement 303

PART THREE Managing Operations 333 11. Supply-Chain Management 333

Supplement 11: Outsourcing as a Supply- Chain Strategy 359

12. Inventory Management 371 13. Aggregate Planning 407 14. Material Requirements Planning (MRP)

and ERP 433

15. Short-Term Scheduling 465 16. JIT and Lean Operations 495 17. Maintenance and Reliability 517

PART FOUR Quantitative Modules 531 A. Decision-Making Tools 531 B. Linear Programming 547 C. Transportation Models 567 D. Waiting-Line Models 583 E. Learning Curves 605 F. Simulation 615

Online Tutorials 1. Statistical Tools for Managers T1-1 2. Acceptance Sampling T2-1 3. The Simplex Method of Linear

Programming T3-1

4. The MODI and VAM Methods of Solving Transportation Problems T4-1

5. Vehicle Routing and Scheduling T5-1

Brief Table of Contents

vii

This page intentionally left blank

ix

About the Authors vi Preface xvii

PART ONE Introduction to Operations Management 1

1. Operations and Productivity 1 Global Company Profile: Hard Rock Cafe 2

What Is Operations Management? 4

Organizing to Produce Goods and Services 4

Why Study OM? 6

What Operations Managers Do 7

The Heritage of Operations Management 8

Operations in the Service Sector 10

Differences Between Goods and Services 10

Growth of Services 11

Service Pay 11

Exciting New Trends in Operations Management 12

The Productivity Challenge 13

Productivity Measurement 14

Productivity Variables 16

Productivity and the Service Sector 18

Ethics and Social Responsibility 19

Chapter Summary 19 • Key Terms 20 • Solved Problems 20 • Bibliography 21

2. Operations Strategy in a Global Environment 23 Global Company Profile: Boeing 24

A Global View of Operations 26

Cultural and Ethical Issues 29

Developing Missions and Strategies 30

Mission 30

Strategy 30

Achieving Competitive Advantage Through Operations 31

Competing on Differentiation 31

Competing on Cost 32

Competing on Response 32

Ten Strategic OM Decisions 35

Issues in Operations Strategy 36

Strategy Development and Implementation 39

Key Success Factors and Core Competencies 39

Build and Staff the Organization 41

Integrate OM with Other Activities 41

Global Operations Strategy Options 42

International Strategy 42

Multidomestic Strategy 43

Global Strategy 43

Transnational Strategy 43

Chapter Summary 44 • Key Terms 44 • Solved Problem 44 • Bibliography 45

3. Project Management 47 Global Company Profile: Bechtel Group 48

The Importance of Project Management 50

Project Planning 50

The Project Manager 51

Work Breakdown Structure 52

Project Scheduling 53

Project Controlling 54

Project Management Techniques: PERT and CPM 55

The Framework of PERT and CPM 55

Network Diagrams and Approaches 55

Activity-on-Node Example 57

Activity-on-Arrow Example 60

Determining the Project Schedule 60

Forward Pass 61

Backward Pass 63

Calculating Slack Time and Identifying the Critical Path(s) 64

Variability in Activity Times 65

Three Time Estimates in PERT 66

Probability of Project Completion 68

Cost–Time Trade-Offs and Project Crashing 71

A Critique of PERT and CPM 73

Using Microsoft Project to Manage Projects 74

Chapter Summary 77 • Key Terms 77 • Using Software to Solve Project Management Problems 77 • Solved Problems 78 • Bibliography 81

Table of Contents

4. Forecasting 83 Global Company Profile: Walt Disney Parks & Resorts 84

What Is Forecasting? 86

Forecasting Time Horizons 86

The Influence of Product Life Cycle 87

Types of Forecasts 87

The Strategic Importance of Forecasting 87

Human Resources 87

Capacity 87

Supply-Chain Management 88

Seven Steps in the Forecasting System 88

Forecasting Approaches 89

Overview of Qualitative Methods 89

Overview of Quantitative Methods 89

Time-Series Forecasting 90

Decomposition of a Time Series 90

Naive Approach 90

Moving Averages 91

Exponential Smoothing 94

Measuring Forecast Error 95

Exponential Smoothing with Trend Adjustment 98

Trend Projections 101

Seasonal Variations in Data 103

Cyclical Variations in Data 108

Associative Forecasting Methods: Regression and Correlation Analysis 108

Using Regression Analysis for Forecasting 108

Standard Error of the Estimate 110

Correlation Coefficients for Regression Lines 111

Multiple-Regression Analysis 113

Monitoring and Controlling Forecasts 113

Adaptive Smoothing 115

Focus Forecasting 115

Forecasting in the Service Sector 116

Chapter Summary 117 • Key Terms 117 • Using Software in Forecasting 118 • Solved Problems 119 • Bibliography 121

PART TWO Designing Operations 123

5. Design of Goods and Services 123 Global Company Profile: Regal Marine 124

Goods and Services Selection 126

Product Strategy Options Support Competitive Advantage 126

Product Life Cycles 127

Life Cycle and Strategy 128

Product-by-Value Analysis 128 Generating New Products 129

New Product Opportunities 129

Importance of New Products 129 Product Development 130

Product Development System 130

Quality Function Deployment (QFD) 131

Organizing for Product Development 133

Manufacturability and Value Engineering 134

Issues for Product Design 135

Robust Design 135

Modular Design 135

Computer-Aided Design (CAD) 136

Computer-Aided Manufacturing (CAM) 137

Virtual Reality Technology 137

Value Analysis 137

Ethics, Environmentally-Friendly Designs, and Sustainability 138

Systems and Life Cycle Perspectives 138

Time-Based Competition 140

Purchasing Technology by Acquiring a Firm 141

Joint Ventures 142

Alliances 142

Defining a Product 142

Make-or-Buy Decisions 143

Group Technology 144

Documents for Production 144

Product Life-Cycle Management (PLM) 145

Service Design 146

Documents for Services 147

Application of Decision Trees to Product Design 149

Transition to Production 150

Chapter Summary 151 • Key Terms 151 • Solved Problem 151 • Bibliography 152

6. Managing Quality 153 Global Company Profile: Arnold Palmer Hospital 154

Quality and Strategy 156

Defining Quality 156

Implications of Quality 157

Malcolm Baldrige National Quality Award 158

Cost of Quality (COQ) 158

Ethics and Quality Management 158

International Quality Standards 159

ISO 9000 159

ISO 14000 159

Total Quality Management 160

Continuous Improvement 161

Six Sigma 161

x Table of Contents

Employee Empowerment 162

Benchmarking 163

Just-in-Time (JIT) 164

Taguchi Concepts 165

Knowledge of TQM Tools 166

Tools of TQM 166

Check Sheets 166

Scatter Diagrams 167

Cause-and-Effect Diagrams 167

Pareto Charts 167

Flowcharts 168

Histograms 169

Statistical Process Control (SPC) 169

The Role of Inspection 170

When and Where to Inspect 170

Source Inspection 171

Service Industry Inspection 171

Inspection of Attributes versus Variables 171

TQM in Services 172

Chapter Summary 175 • Key Terms 175 • Bibliography 175

Supplement 6: Statistical Process Control 177 Statistical Process Control (SPC) 178

Control Charts for Variables 180

The Central Limit Theorem 180

Setting Mean Chart Limits ( -Charts) 181

Setting Range Chart Limits (R-Charts) 185

Using Mean and Range Charts 185

Control Charts for Attributes 186

Managerial Issues and Control Charts 190

Process Capability 191

Process Capability Ratio (Cp) 191

Process Capability Index 192

Acceptance Sampling 193

Operating Characteristic Curve 194

Average Outgoing Quality 195

Supplement Summary 196 • Key Terms 196 • Using Software for SPC 196 • Solved Problems 197 • Bibliography 199

7 Process Strategy and Sustainability 201 Global Company Profile: Harley-Davidson 202

Four Process Strategies 204

Process Focus 204

Repetitive Focus 205

Product Focus 206

Mass Customization Focus 206

Comparison of Process Choices 208

Process Analysis and Design 211

Flowchart 211

Time-Function Mapping 211

Value-Stream Mapping 212

Process Charts 213

Service Blueprinting 214

Special Considerations for Service Process Design 214

Customer Interaction and Process Design 215

More Opportunities to Improve Service Processes 217

Selection of Equipment and Technology 217

Production Technology 218

Machine Technology 218

Automatic Identification Systems (AISs) and RFID 218

Process Control 219

Vision Systems 219

Robots 220

Automated Storage and Retrieval Systems (ASRSs) 220

Automated Guided Vehicles (AGVs) 220

Flexible Manufacturing Systems (FMSs) 220

Computer-Integrated Manufacturing (CIM) 220

Technology in Services 221

Process Redesign 223

Sustainability 223

Resources 223

Recycle 223

Regulations 224

Reputation 224

Chapter Summary 225 • Key Terms 225 • Solved Problem 225 • Bibliography 226

Supplement 7: Capacity and Constraint Management 227 Capacity 228

Design and Effective Capacity 228

Capacity and Strategy 230

Capacity Considerations 231

Managing Demand 231

Demand and Capacity Management in the Service Sector 233

Bottleneck Analysis and the Theory of Constraints 234

Process Times for Stations, Systems, and Cycles 235

Theory of Constraints 237

Bottleneck Management 237

Break-Even Analysis 238

Single-Product Case 240

1Cpk2

x

Table of Contents xi

xii Table of Contents

Multiproduct Case 240

Reducing Risk with Incremental Changes 242

Applying Expected Monetary Value (EMV) to Capacity Decisions 243

Applying Investment Analysis to Strategy-Driven Investments 244

Investment, Variable Cost, and Cash Flow 244

Net Present Value 244

Supplement Summary 247 • Key Terms 247 • Using Software for Break-Even Analysis 247 • Solved Problems 247 • Bibliography 250

8. Location Strategies 251 Global Company Profile: FedEx 252

The Strategic Importance of Location 254

Factors That Affect Location Decisions 255

Labor Productivity 256

Exchange Rates and Currency Risk 256

Costs 257

Political Risk, Values, and Culture 258

Proximity to Markets 258

Proximity to Suppliers 258

Proximity to Competitors (Clustering) 258

Methods of Evaluating Location Alternatives 259

The Factor-Rating Method 259

Locational Break-Even Analysis 260

Center-of-Gravity Method 262

Transportation Model 263

Service Location Strategy 264

How Hotel Chains Select Sites 265

The Call Center Industry 266

Geographic Information Systems 267

Chapter Summary 268 • Key Terms 268 • Using Software to Solve Location Problems 269 • Solved Problems 270 • Bibliography 271

9. Layout Strategies 273 Global Company Profile: McDonald’s 274

The Strategic Importance of Layout Decisions 276

Types of Layout 276

Office Layout 278

Retail Layout 279

Servicescapes 280

Warehousing and Storage Layouts 281

Cross-Docking 282

Random Stocking 282

Customizing 282

Fixed-Position Layout 282

Process-Oriented Layout 283

Computer Software for Process-Oriented Layouts 287

Work Cells 288

Requirements of Work Cells 288

Staffing and Balancing Work Cells 289

The Focused Work Center and the Focused Factory 291

Repetitive and Product-Oriented Layout 292

Assembly-Line Balancing 293

Chapter Summary 298 • Key Terms 298 • Using Software to Solve Layout Problems 298 • Solved Problems 299 • Bibliography 302

10. Human Resources, Job Design, and Work Measurement 303 Global Company Profile: Rusty Wallace’s NASCAR Racing Team 304

Human Resource Strategy for Competitive Advantage 306

Constraints on Human Resource Strategy 306

Labor Planning 307

Employment-Stability Policies 307

Work Schedules 307

Job Classifications and Work Rules 308

Job Design 308

Labor Specialization 308

Job Expansion 308

Psychological Components of Job Design 309

Self-Directed Teams 310

Motivation and Incentive Systems 311

Ergonomics and the Work Environment 311

Methods Analysis 314

The Visual Workplace 315

Labor Standards 317

Historical Experience 317

Time Studies 317

Predetermined Time Standards 322

Work Sampling 325

Ethics 328

Chapter Summary 328 • Key Terms 328 • Solved Problems 329 • Bibliography 331

PART THREE Managing Operations 333 11. Supply-Chain Management 333

Global Company Profile: Darden Restaurants 334

The Supply Chain’s Strategic Importance 336

Supply-Chain Risk 337

Ethics and Sustainability 339

Table of Contents xiii

Supply-Chain Economics 340

Make-or-Buy Decisions 341

Outsourcing 341

Supply-Chain Strategies 341

Many Suppliers 341

Few Suppliers 341

Vertical Integration 342

Joint Ventures 343

Keiretsu Networks 343

Virtual Companies 343

Managing the Supply Chain 343

Issues in an Integrated Supply Chain 344

Opportunities in an Integrated Supply Chain 345

E-Procurement 347

Online Catalogs 347

Auctions 348

RFQs 348

Real-Time Inventory Tracking 348

Vendor Selection 349

Vendor Evaluation 349

Vendor Development 350

Negotiations 350

Logistics Management 350

Distribution Systems 351

Third-Party Logistics 351

Cost of Shipping Alternatives 352

Security and JIT 353

Measuring Supply-Chain Performance 354

The SCOR Model 356

Chapter Summary 357 • Key Terms 357 • Solved Problems 357 • Bibliography 358

Supplement 11: Outsourcing as a Supply-Chain Strategy 359 What Is Outsourcing? 360

Strategic Planning and Core Competencies 361

The Theory of Comparative Advantage 362

Risks of Outsourcing 363

Evaluating Outsourcing Risk with Factor Rating 365

Rating International Risk Factors 365

Rating Outsource Providers 366

Advantages and Disadvantages of Outsourcing 367

Advantages of Outsourcing 367

Disadvantages of Outsourcing 367

Audits and Metrics to Evaluate Performance 368

Ethical Issues in Outsourcing 368

Supplement Summary 369 • Key Terms 369 • Using Software to Solve Outsourcing Problems 369 • Bibliography 369

12. Inventory Management 371 Global Company Profile: Amazon.com 372

The Importance of Inventory 374

Functions of Inventory 374

Types of Inventory 375

Managing Inventory 375

ABC Analysis 375

Record Accuracy 377

Cycle Counting 377

Control of Service Inventories 379

Inventory Models 380

Independent vs. Dependent Demands 380

Holding, Ordering, and Setup Costs 380

Inventory Models for Independent Demand 380

The Basic Economic Order Quantity (EOQ) Model 381

Minimizing Costs 381

Reorder Points 386

Production Order Quantity Model 387

Quantity Discount Models 390

Probabilistic Models and Safety Stock 393

Other Probabilistic Models 396

Single-Period Model 398

Fixed-Period (P) Systems 399

Chapter Summary 400 • Key Terms 401 • Using Software to Solve Inventory Problems 401 • Solved Problems 402 • Bibliography 405

13. Aggregate Planning 407 Global Company Profile: Frito-Lay 408

The Planning Process 410

Planning Horizons 410

The Nature of Aggregate Planning 411

Aggregate Planning Strategies 412

Capacity Options 413

Demand Options 414

Mixing Options to Develop a Plan 414

Methods for Aggregate Planning 415

Graphical Methods 415

Mathematical Approaches 420

Comparison of Aggregate Planning Methods 422

Aggregate Planning in Services 422

Restaurants 424

Hospitals 424

National Chains of Small Service Firms 424

Miscellaneous Services 424

Airline Industry 425

Yield Management 425

xiv Table of Contents

Chapter Summary 428 • Key Terms 429 • Using Software for Aggregate Planning 429 • Solved Problems 429 • Bibliography 431

14. Material Requirements Planning (MRP) and ERP 433 Global Company Profile: Wheeled Coach 434

Dependent Demand 436

Dependent Inventory Model Requirements 436

Master Production Schedule 436

Bills of Material 438

Accurate Inventory Records 441

Purchase Orders Outstanding 441

Lead Times for Components 441

MRP Structure 441

MRP Management 446

MRP Dynamics 446

MRP and JIT 446

Lot-Sizing Techniques 447

Extensions of MRP 451

Material Requirements Planning II (MRP II) 451

Closed-Loop MRP 452

Capacity Planning 453

MRP in Services 454

Distribution Resource Planning (DRP) 454

Enterprise Resource Planning (ERP) 455

Advantages and Disadvantages of ERP Systems 458

ERP in the Service Sector 458

Chapter Summary 458 • Key Terms 458 • Using Software to Solve MRP Problems 459 • Solved Problems 460 • Bibliography 463

15. Short-Term Scheduling 465 Global Company Profile: Delta Air Lines 466

The Importance of Short-Term Scheduling 468

Scheduling Issues 468

Forward and Backward Scheduling 470

Scheduling Criteria 470

Scheduling Process-Focused Facilities 471

Loading Jobs 472

Input–Output Control 472

Gantt Charts 474

Assignment Method 475

Sequencing Jobs 478

Priority Rules for Dispatching Jobs 478

Critical Ratio 481

Sequencing N Jobs on Two Machines: Johnson’s Rule 482

Limitations of Rule-Based Dispatching Systems 483

Finite Capacity Scheduling (FCS) 484

Scheduling Repetitive Facilities 485

Scheduling Services 486

Scheduling Service Employees with Cyclical Scheduling 488

Chapter Summary 489 • Key Terms 489 • Using Software for Short-Term Scheduling 489 • Solved Problems 492 • Bibliography 494

16. JIT and Lean Operations 495 Global Company Profile: Toyota Motor Corporation 496

Just-in-Time, the Toyota Production System, and Lean Operations 498

Eliminate Waste 498

Remove Variability 499

Improve Throughput 500

Just-in-Time (JIT) 500

JIT Partnerships 501

Concerns of Suppliers 502

JIT Layout 503

Distance Reduction 503

Increased Flexibility 503

Impact on Employees 503

Reduced Space and Inventory 503

JIT Inventory 504

Reduce Inventory and Variability 504

Reduce Lot Sizes 504

Reduce Setup Costs 506

JIT Scheduling 506

Level Schedules 507

Kanban 508

JIT Quality 510

Toyota Production System 511

Continuous Improvement 511

Respect for People 511

Standard Work Practice 511

Lean Operations 512

Building a Lean Organization 512

Lean Operations in Services 513

Chapter Summary 515 • Key Terms 515 • Solved Problems 515 • Bibliography 515

17. Maintenance and Reliability 517 Global Company Profile: Orlando Utilities Commission 518

The Strategic Importance of Maintenance and Reliability 520

Reliability 521

Improving Individual Components 521

Providing Redundancy 523

Table of Contents xv

Maintenance 524

Implementing Preventive Maintenance 524

Increasing Repair Capabilities 528

Autonomous Maintenance 528

Total Productive Maintenance 528

Techniques for Enhancing Maintenance 529

Chapter Summary 529 • Key Terms 529 • Using Software to Solve Reliability Problems 530 • Solved Problems 530 • Bibliography 530

PART FOUR Quantitative Modules 531 A. Decision-Making Tools 531

The Decision Process in Operations 532

Fundamentals of Decision Making 533

Decision Tables 534

Types of Decision-Making Environments 534

Decision Making under Uncertainty 535

Decision Making under Risk 536

Decision Making under Certainty 537

Expected Value of Perfect Information (EVPI) 537

Decision Trees 538

A More Complex Decision Tree 539

Using Decision Trees in Ethical Decision Making 541

The Poker Decision Process 542

Module Summary 543 • Key Terms 543 • Using Software for Decision Models 543 • Solved Problems 545 • Bibliography 546

B. Linear Programming 547 Why Use Linear Programming? 548

Requirements of a Linear Programming Problem 549

Formulating Linear Programming Problems 549

Shader Electronics Example 549

Graphical Solution to a Linear Programming Problem 550

Graphical Representation of Constraints 550

Iso-Profit Line Solution Method 551

Corner-Point Solution Method 553

Sensitivity Analysis 555

Sensitivity Report 556

Changes in the Resources or Right-Hand-Side Values 556

Changes in the Objective Function Coefficient 557

Solving Minimization Problems 557

Linear Programming Applications 559

Production-Mix Example 559

Diet Problem Example 560

Labor Scheduling Example 561

The Simplex Method of LP 562

Module Summary 563 • Key Terms 563 • Using Software to Solve LP Problems 563 • Solved Problems 564 • Bibliography 566

C. Transportation Models 567 Transportation Modeling 568

Developing an Initial Solution 570

The Northwest-Corner Rule 570

The Intuitive Lowest-Cost Method 571

The Stepping-Stone Method 572

Special Issues in Modeling 575

Demand Not Equal to Supply 575

Degeneracy 576

Module Summary 577 • Key Terms 577 • Using Software to Solve Transportation Problems 578 • Solved Problems 579 • Bibliography 581

D. Waiting-Line Models 583 Queuing Theory 584

Characteristics of a Waiting-Line System 585

Arrival Characteristics 585

Waiting-Line Characteristics 586

Service Characteristics 587

Measuring a Queue’s Performance 588

Queuing Costs 589

The Variety of Queuing Models 590

Model A (M/M/1): Single-Channel Queuing Model with Poisson Arrivals and Exponential Service Times 590

Model B (M/M/S): Multiple-Channel Queuing Model 593

Model C (M/D/1): Constant-Service-Time Model 597

Little’s Law 598

Model D: Limited-Population Model 599

Other Queuing Approaches 601

Module Summary 602 • Key Terms 602 • Using Software to Solve Queuing Problems 602 • Solved Problems 603 • Bibliography 604

E. Learning Curves 605 What Is a Learning Curve? 606

Learning Curves in Services and Manufacturing 607

Applying the Learning Curve 608

Arithmetic Approach 608

Logarithmic Approach 609

Learning-Curve Coefficient Approach 609

xvi Table of Contents

Strategic Implications of Learning Curves 611

Limitations of Learning Curves 612

Module Summary 613 • Key Terms 613 • Using Software for Learning Curves 613 • Solved Problems 614 • Bibliography 614

F. Simulation 615 What Is Simulation? 616

Advantages and Disadvantages of Simulation 617

Monte Carlo Simulation 618

Simulation of a Queuing Problem 621

Simulation and Inventory Analysis 623

Module Summary 626 • Key Terms 626 • Using Software in Simulation 626 • Solved Problems 628 • Bibliography 629

Appendices A1 Indices I1 Photo Credits P1

Online Tutorials 1. Statistical Tools for Managers T1-1

Discrete Probability Distributions T1-2

Expected Value of a Discrete Probability Distribution T1-3

Variance of a Discrete Probability Distribution T1-3

Continuous Probability Distributions T1-4

The Normal Distribution T1-4

Summary T1-7 • Key Terms T1-7 • Discussion Questions T1-7 • Problems T1-7 • Bibliography T1-7

2. Acceptance Sampling T2-1 Sampling Plans T2-2

Single Sampling T2-2

Double Sampling T2-2

Sequential Sampling T2-2

Operating Characteristic (OC) Curves T2-2

Producer’s and Consumer’s Risk T2-3

Average Outgoing Quality T2-5

Summary T2-6 • Key Terms T2-6 • Solved Problem T2-7 • Discussion Questions T2-7 • Problems T2-7

3. The Simplex Method of Linear Programming T3-1 Converting the Constraints to Equations T3-2

Setting Up the First Simplex Tableau T3-2

Simplex Solution Procedures T3-4

Summary of Simplex Steps for Maximization Problems T3-6

Artificial and Surplus Variables T3-7

Solving Minimization Problems T3-7

Summary T3-8 • Key Terms T3-8 • Solved Problem T3-8 • Discussion Questions T3-8 • Problems T3-9

4. The MODI and VAM Methods of Solving Transportation Problems T4-1 MODI Method T4-2

How to Use the MODI Method T4-2

Solving the Arizona Plumbing Problem with MODI T4-2

Vogel’s Approximation Method: Another Way to Find an Initial Solution T4-4

Discussion Questions T4-8 • Problems T4-8

5. Vehicle Routing and Scheduling T5-1 Introduction T5-2

Service Delivery Example: Meals-for-ME T5-2

Objectives of Routing and Scheduling Problems T5-2

Characteristics of Routing and Scheduling Problems T5-3

Classifying Routing and Scheduling Problems T5-3

Solving Routing and Scheduling Problems T5-4

Routing Service Vehicles T5-5

The Traveling Salesman Problem T5-5

Multiple Traveling Salesman Problem T5-8

The Vehicle Routing Problem T5-9

Cluster First, Route Second Approach T5-10

Scheduling Service Vehicles T5-11

The Concurrent Scheduler Approach T5-13

Other Routing and Scheduling Problems T5-13

Summary T5-14 • Key Terms T5-15 • Discussion Questions T5-15 • Problems T5-15 • Case Study: Routing and Scheduling of Phlebotomists T5-17 • Bibliography T5-17

Welcome to your operations management (OM) course. In this book, we present a state-of-the- art view of the activities of the operations function. Operations is an exciting area of manage- ment that has a profound effect on the productivity of both manufacturing and services. Indeed, few other activities have as much impact on the quality of our lives. The goal of this text is to present a broad introduction to the field of operations in a realistic, practical manner. OM includes a blend of topics from accounting, industrial engineering, management, manage- ment science, and statistics. Even if you are not planning on a career in the operations area, you will likely be working with people who are. Therefore, having a solid understanding of the role of operations in an organization is of substantial benefit to you. This book will also help you understand how OM affects society and your life. Certainly, you will better under- stand what goes on behind the scenes when you purchase a bag of Frito-Lay potato chips; buy a meal at an Olive Garden, a Red Lobster, or a Hard Rock Cafe; place an order through Amazon.com; buy a customized Dell computer over the Internet; or enter Arnold Palmer Hospital for medical care.

Although many of our readers are not OM majors, we know that marketing, finance, account- ing, and MIS students across the globe will find the material both interesting and useful as we develop a fundamental working knowledge of the operations side of the firm. More than 600,000 readers of our earlier editions seem to have endorsed this premise. We welcome comments by email from our North American readers, from students using the EU edition, the Indian edition, and our editions in Portuguese, Spanish, Turkish, Indonesian and Chinese. Our goal is to make this material useful and interesting to each of you.

NEW TO THIS EDITION Manufacturing Integration with Video Case Studies on Frito-Lay In this edi- tion, we take you behind the scenes at one of the most exciting manufacturers in North America, Frito-Lay, a subsidiary of PepsiCo. We provide five new Video Case Studies, photos, examples, problems, and a Global Company Profile (Chapter 13). This multi-billion-dollar snack food pro- ducer opened its doors so we could examine its use of statistical quality control (Supplement 6), green manufacturing and sustainability (Chapter 7), inventory management (Chapter 12), and maintenance (Chapter 17), as well as its overall OM strategy (Chapter 1) in a series of 8- to 14-minute videos.

Our prior editions focused on Darden Restaurants (Olive Garden/Red Lobster), Hard Rock Cafe, Arnold Palmer Hospital, Wheeled Coach Ambulances, and Regal Marine. These videos and cases appear in this edition as well, along with the five new ones for Frito-Lay.

xvii

Preface

Rapid Reviews In our never-ending quest to make this the most student-friendly text in our field, we now include a two-page Rapid Review in the Lecture Guide & Activities Manual. This detailed yet concise summary of the main points and equations in the chapter helps students pre- pare for homework, exams, and lectures by capturing the essence of the material. Each Rapid Review also includes a self-test, with questions linked to the learning objectives in that chapter. Key terms introduced in the chapter are part of the Rapid Review.

xviii Preface

myomlab and the Learning Process This powerful tool ties together all elements in our book into an innovative learning tool, an exam tool, a homework tool, and an assessment center. myomlab’s new version 2.0 accompanies this edition of the text. By using myomlab, instructors can assign thousands of problems from the text and/or problems/questions from the Test Item File for their students to take online, in any time frame determined by the instructor. With many options for randomizing the sequence, timing, and scoring, myomlab makes giving and grading homework and exams easy. Most problems have also been converted to an algorithmic form, meaning that there are numerous versions of each problem, with different data for each student. Solutions to each problem and its data set are available, if instructors wish, to students immediately after they complete each assignment. The program records grades into the instructor’s grade book. For help, students can click directly to the relevant text page, watch the text authors solve a similar problem, walk through other sample problems, or seek other useful forms of help. This new and innovative feature is truly a wonderful teaching and learning aid. Visit www.myomlab.com for more information.

Integration of Ethics Throughout the Book With this revision, we provide broad cov- erage of ethics as an OM consideration. The topic is addressed in most chapters and in the Lecture Guide & Activities Manual, we present an Ethical Dilemma that can be used for classroom discussion or homework.

Expanded Treatment of the Theory of Constraints Supplement 7 now contains expanded treatment on the theory of constraints, including the material previously covered in Chapter 15. Theory of constraints and bottleneck analysis coverage includes examples, a solved problem, and seven new homework problems.

Sustainability as an OM Responsibility Sustainability is now highlighted in several chapters, especially Chapters 5 (“Design of Goods and Services”) and 7 (“Process Strategy and Sustainability”). Chapter 7 also has two new case studies on the topic as it relates to Frito-Lay and to Walmart.

Author Comments You will notice a new feature throughout every chapter that we call Author Comments. Here we point out why a section, a figure, or a table is so important. The com- ments are intended to be motivational to students, as well as educational.

Preface xix

Additional Homework Problems Our text already contains more homework problems than any other text in the discipline. We have also added hundreds more problems to our Web site for instructors who seek even more variety and freshness. These problems are available at www.myomlab.com. Solutions to these additional problems appear along with regular text prob- lems in our Instructor’s Solution Manual, which was created and proofed by the authors.

CHAPTER-BY-CHAPTER CHANGES To highlight the extent of the revision from the ninth edition, here are a few of the changes, on a chapter-by-chapter basis. We have added new material on the subject of the theory of constraints (to Supplement 7); combined Chapter 10 and Supplement 10 into a new Chapter 10, called “Human Resources, Job Design, and Work Measurement”; and have added extensive new mater- ial on supply chains in Chapter 11 and Supplement 11. The Rapid Review section in the Lecture Guide & Activities Manual is new to each chapter. Active Models, which were illustrated with screen captures in most chapters, now appear in myomlab and the Companion Web site, www. pearsonhighered.com/heizer.

Chapter 1. Operations and Productivity We include a heavily revised section to help motivate students, called “Exciting New Trends in OM,” with a new emphasis on the environment and ethics that runs throughout the book. Four homework problems have been expanded. The Lecture Guide & Activities Manual includes the new Video Case Study “Frito-Lay: Operations Management in Manufacturing.” This new case introduces the company that we refer to throughout this edition and makes an excellent teaching comparison to the other Chapter 1 Video Case Study, “Hard Rock Cafe: Operations Management in Services.” The Zychol Chemical Corporation case has been moved to myomlab and the Companion Web site, www.pearsonhighered.com/heizer.

Chapter 2. Operations Strategy in a Global Environment This chapter has a new figure (Figure 2.4) that relates OM to strategy and a new section called “Issues in Operations Strategy,” which includes Porter’s value chain analysis and five forces model.

Chapter 3. Project Management We have revised our treatment of work breakdown struc- ture with a more visual approach (Figure 3.3), added a new OM in Action box, “Prepping for the Miami Heat Game,” and shortened coverage of Microsoft Project (from seven screen captures down to three).

Chapter 4. Forecasting We have revised the formula for tracking signals [see equation (4.18) and Example 16] and moved the review of forecasting formulas from Table 4.1 into the Rapid Review section in the Lecture Guide & Activities Manual.

Chapter 5. Design of Goods and Services We have added a manufacturer, Cisco, to our discussion of new product yields (Figure 5.6) and created a major new section titled “Ethics, the Environment, and Sustainability.”

Chapter 6. Managing Quality This chapter contains expanded coverage of ISO 14000, including a new OM in Action box, “Subaru’s Clean, Green Set of Wheels with ISO 14001,” and a discussion of ISO 24700. We have also added “A Hospital Benchmarks Against the Ferrari Racing Team” as another OM in Action box and have illustrated checklists as a way to improve quality. A new homework problem uses data from The Economist’s poll of air travel dislikes.

Supplement 6. Statistical Process Control Frito-Lay’s use of SPC is featured in both photographs and a new Video Case Study, “Frito-Lay’s Quality-Controlled Potato Chips.” This video is not only an exploration of the firm’s quality program but a tutorial on how a real firm creates control charts from scratch. There are seven expanded homework problems and one new one, which is based on the former Alabama Air case study.

Chapter 7. Process Strategy and Sustainability The chapter begins with a new Global Company Profile featuring Harley-Davidson’s repetitive manufacturing. We have exten- sively revised our treatment of the four process strategies. It is shortened and concisely illustrated in Figure 7.2. There is a new OM in Action box, “Mass Customization for Straight Teeth.” We have added a major new section on sustainability, where we introduce the four Rs of sustainability. In the Lecture Guide & Activities Manual, there are two new cases: “Environmental Sustainability at Walmart” and the Video Case Study, “Green Manufacturing and Sustainability at Frito-Lay.”

Supplement 7. Capacity and Constraint Management This supplement has been retitled and extensively revised to include coverage of constraint management and the theory of con- straints. Material on the theory of constraints, formerly in Chapter 15, has been melded into this new treatment. A new section, “Bottleneck Analysis and Theory of Constraints,” includes two examples (S3 and S4), a solved problem (S7.5), an OM in Action box on banking and the theory of constraints, and seven new homework problems (S7.9–S7.15). So as not to lengthen Supplement 7, we shortened our coverage of multi-product break-even analysis, replaced decision trees with an EMV approach to capacity decisions, and reduced our treatment of net present value analysis. Finally, the Video Case Study, “Capacity Planning at Arnold Palmer Hospital” has been updated.

Chapter 8. Location Strategies The homework problem selection has been expanded, and 11 problems have been revised to make them more challenging.

Chapter 9. Layout Strategies The main addition to this chapter is the new OM in Action box “Work Cells Increase Productivity at Canon.”

Chapter 10. Human Resources, Job Design, and Work Measurement With this edition, we have merged Supplement 10 (“Work Measurement”) into Chapter 10. This helps make the coverage of this material more concise, while bringing more quantitative material into the main chapter. Coverage of labor planning, job design, ergonomics, and the visual workplace has been edited for brevity. Examples S1–S6 from Supplement 10 remain, now as Examples 1–6. Solved Problems S10.1–S10.5 are now Solved Problems 10.2–10.6. There is a new OM in Action box, “Saving Seconds at Retail Boosts Productivity.” The case study “The Fleet That Wanders” has been moved to myomlab and the Companion Web site.

Chapter 11. Supply-Chain Management In keeping with the growing importance of supply chains as an OM topic, we have rewritten this chapter (and Supplement 11) to keep readers current in this dynamic field. There is new treatment of supply-chain risks, a new section on ethics and sustainability, more coverage of joint ventures, a new section on CPFR, a revision of the mate- rial on e-procurement, and new material explaining the SCOR model.

Supplement 11. Outsourcing as a Supply-Chain Strategy The material here has been heavily edited to keep current with this important topic, including a new Table S11.1 on ranking of outsourcing countries, NASA’s outsourcing shipments to the Space Station, and back- sourcing. We have deleted the section on break-even analysis, which is a model discussed in other chapters, and revised four of the homework problems to make them more challenging.

Chapter 12. Inventory Management The explanation of how to graph costs as a function of order quantity has been expanded to help students better understand the concept

xx Preface

(Figure 12.4). We now cover the single-period model in Example 15 and in three new home- work problems (12.36–12.38). Seven other homework problems have been revised and expanded. Finally, a new Video Case Study is called “Managing Inventory at Frito-Lay.”

Chapter 13. Aggregate Planning The chapter begins with a new Global Company Profile illustrating aggregate planning at Frito-Lay. We have also revised Examples 2–4 to make them more current.

Chapter 14. Material Requirements Planning (MRP) and ERP MRP II and its example in Table 14.4 have been rewritten, the order splitting discussion (and its Example 7) has been revised, the ERP section has been shortened, and a new case study, “Hill’s Automotive, Inc.” replaces the Ikon case, which now appears on myomlab and the Companion Web site, www. pearsonhighered.com/heizer.

Chapter 15. Short-Term Scheduling We have expanded and moved the treatment of the theory of constraints to Supplement 7 and rewritten Problem 15.17.

Chapter 16. Just-in-Time and Lean Operations The Global Company Profile on Toyota has been revised; Figure 16.3, explaining hidden problems, is new; there is a revised kan- ban figure (Figure 16.9); and kaizan is expanded both in the text and in the new OM in Action box “Kaizen at Ducati.” There is also a new OM in Action box on TPS at the Los Angeles Police Department, and there is a new case study, “JIT After a Catastrophe.”

Chapter 17. Maintenance and Reliability There are three new elements: a section covering autonomous maintenance, an Ethical Dilemma regarding the Space Shuttle, and a Video Case Study called “Maintenance Drives Profits at Frito-Lay.”

Module A. Decision-Making Tools This module now begins with an interesting dilemma that involved a famous poker player in a Legends of Poker Tournament. We return to the topic later in the module, with a section called “The Poker Decision Process,” Example 9, and Problem A.24.

Modules B and C. Linear Programming and Transportation Models There are no major changes in these two modules.

Module D. Waiting Line Models A new OM in Action box describes zero wait times at a Michigan Hospital’s ER, and we have added examples of queuing at Costco and Alaska Airlines, created a new section covering Little’s law, and expanded two of the homework problems.

Module E. Learning Curves We have updated Table E.1 and revamped the discussions on the consequences and application of the learning curve.

Module F. Simulation We have added a new OM in Action box, “Simulation Software Takes the Kinks Out of Starbucks’s Lines.”

STUDENT RESOURCES To liven up the course and help students learn the content material, we have made available the following resources:

• Student Study Guide (ISBN: 0-13-510725-3) created by Michael Donovan of Cedar Crest College. Study Guide is designed to help students understand the concepts and quantitative methods of operations management. Each chapter in the study guide consists nine basic com- ponents: Summary; Learning Objectives; Skills to Develop; Annotated Outline; Hints and Tips; Key Terms; Formulas; Self-test Questions; and Supplementary Materials.

• Thirty-one exciting video cases (Located on the Operations Management DVD Library, ISBN: 0-13-611981-6, and at www.myomlab.com.) These Video Case Studies feature real companies (Frito-Lay, Darden Restaurants, Regal Marine, Hard Rock Cafe, Ritz-Carlton, Wheeled Coach, and Arnold Palmer Hospital) and allow students to watch short videos, read about the key topics, and answer questions. These case studies can also be assigned without using class time to show the videos. Each of them was developed and written by the text authors to specifically supplement the book’s content.

• DVD video clips (Located on the Operations Management DVD Library, ISBN: 0-13- 611981-6, and at www.myomlab.com.) We have provided 37 one- to two-minute video clips

Preface xxi

to illustrate chapter-related topics with videos at Frito-Lay, Harley-Davidson, Ritz-Carlton, Hard Rock Cafe, Olive Garden, and other firms.

• Virtual tours (Located on the Companion Web site, at www.pearsonhighered.com/heizer). These company tours provide direct links to companies—ranging from a hospital to an auto manufacturer—that practice key concepts. After touring each Web site, students are asked questions directly related to the concepts discussed in the chapter.

• Self-study quizzes (Located on the Companion Web site, www.pearsonhighered.com/ heizer.) These quizzes allow students to test their understanding of each topic. These exten- sive quizzes contain a broad assortment of questions, 20–25 per chapter, including multiple- choice, true/false, and Internet essay questions. The quiz questions are graded and can be transmitted to the instructor for extra credit or serve as practice exams.

• Active Models The 28 Active Models appear in files at www.myomlab.com and the Companion Web site, www.pearsonhighered.com/heizer.

• Excel OM data files Examples in the text that can be solved with Excel OM appear on data files on myomlab and the Companion Web site, www.pearsonhighered.com/heizer. They are identified at the end of each example.

• POM for Windows software (Located at www.myomlab.com and the Companion Web site, www.pearsonhighered.com/heizer.) POM for Windows is a powerful tool for easily solving OM problems. Its 24 modules can be used to solve most of the homework problems in the text.

• Excel OM problem-solving software (Located at www.myomlab.com and the Companion Web site, www.pearsonhighered.com/heizer.) Excel OM is our exclusive user-friendly Excel add-in. Excel OM automatically creates worksheets to model and solve problems. Users select a topic from the pull-down menu and fill in the data, and then Excel will display and graph (where appropriate) the results. This software is great for student homework, what-if analysis and classroom demonstrations. This edition includes a new version of Excel OM that’s com- patible with Microsoft Excel 2007 as well as earlier versions of Excel.

• Online Tutorial Chapters (Located on myomlab and the Companion Web site, www. pearsonhighered.com/heizer.) Statistical Tools for Managers, Acceptance Sampling, The Simplex Method of Linear Programming, The MODI and VAM Methods of Solving Transportation Problems, and Vehicle Routing and Scheduling are provided as additional material.

• Virtual office hours (Located at www.myomlab.com.) Professors Heizer and Render appear on myomlab, walking students through 72 Solved Problems.

• Additional practice problems (Located at www.myomlab.com.) These problems provide problem-solving experience. They supplement the examples and solved problems found in each chapter.

• Additional case studies (Located at www.myomlab.com.) These additional case studies supplement the ones in the text. Detailed solutions appear in the Solutions Manual.

• Microsoft Project 2007 (ISBN: 0-13-145421-8.) Microsoft Project, the most popular and powerful project management package, is now available on an additional student CD-ROM. This full version, documented in Chapter 3, is activated to work for 60 days.

INSTRUCTOR RESOURCES Register, Redeem, Log in At www.pearsonhighered.com/irc instructors can register and access a variety of print, media, and presentation resources that are available with this text in downloadable digital format. For most texts, resources are also available for course management platforms such as Blackboard, WebCT, and Course Compass.

It Gets Better Once you register, you will not have additional forms to fill out or multiple usernames and passwords to remember to access new titles and/or editions. As a registered faculty member, you can log in directly to download resource files and receive immediate access and instructions for installing course management content to your campus server.

Need Help? Our dedicated technical support team is ready to answer instructors’ questions about the media supplements that accompany this text. Visit http://247.prenhall.com for answers to frequently asked questions and toll-free user support phone numbers. The supple- ments are available to adopting instructors. Detailed descriptions are provided at the Instructor’s Resource Center.

Instructor’s Resource Manual The Instructor’s Resource Manual, extensively updated by Professor Charles Munson of Washington State University, contains many useful resources for

xxii Preface

instructors—course outlines, video notes, learning techniques, Internet exercises and sample answers, case analysis ideas, additional teaching resources, and faculty notes. It also provides a snapshot of the PowerPoint lecture slides. Instructors can download the Instructor’s Resource Manual from the Instructor’s Resource Center, at www.pearsonhighered.com/heizer.

Instructor’s Solutions Manual The Instructor’s Solutions Manual, written by the authors (and extensively proofed by Professor Annie Puciloski), contains the answers to all of the discussion questions, Ethical Dilemmas, Active Models, and cases in the text, as well as worked- out solutions to all the end-of-chapter problems, Internet problems, and Internet cases. Instructors can download the Instructor’s Solutions Manual from the Instructor’s Resource Center, at www. pearsonhighered.com/heizer.

PowerPoint Presentations An extensive set of PowerPoint presentations, created by Professor Jeff Heyl of Lincoln University, is available for each chapter. Comprising well over 2,000 slides, this set has excellent color and clarity. These slides can also be downloaded from the Instructor’s Resource Center, at www.pearsonhighered.com/heizer.

Test Item File The test item file, updated by Professor Greg Bier of University of Missouri–Columbia, contains a variety of true/false, multiple-choice, fill-in-the-blank, short- answer, and problem- and topic-integrating questions for each chapter. Instructors can download the test item file from the Instructor’s Resource Center, at www.pearsonhighered.com/heizer.

TestGen The computerized TestGen package allows instructors to customize, save, and gener- ate classroom tests. The test program permits instructors to edit, add, and delete questions from the test bank; edit existing graphics and create new graphics; analyze test results; and organize a database of test and student results. This software allows for extensive flexibility and ease of use. It provides many options for organizing and displaying tests, along with search and sort features. The software and the test banks can be downloaded from the Instructor’s Resource Center, at www.pearsonhighered.com/heizer.

myomlab This powerful tool, noted on the inside front cover, ties together all elements in this book into an innovative learning tool, an exam tool, a homework tool, and an assessment center. By using myomlab, instructors can assign thousands of problems from the text and/or problems/questions from the test item file for their students to take online at any time, as deter- mined by the instructor. Visit www.myomlab.com for more information.

Video Package Designed and created by the authors specifically for their Heizer/Render texts, the video package contains the following 31 videos:

Preface xxiii

• Frito-Lay: Operations Management in Manufacturing (Ch. 1)

• Operations Management at Hard Rock (Ch. 1)

• Regal Marine: Operations Strategy (Ch. 2) • Hard Rock Cafe’s Global Strategy (Ch. 2) • Project Management at Arnold Palmer

Hospital (Ch. 3) • Managing Hard Rock’s Rockfest (Ch. 3) • Forecasting at Hard Rock Cafe (Ch. 4) • Regal Marine: Product Design (Ch. 5) • The Culture of Quality at Arnold Palmer

Hospital (Ch. 6) • Ritz-Carlton: Quality (Ch. 6) • Frito-Lay’s Quality-Controlled Potato

Chips (Supp. 6) • SPC and Quality at Darden Restaurants

(Supp. 6) • Green Manufacturing and Sustainability at

Frito-Lay (Ch. 7) • Wheeled Coach: Process Strategy (Ch. 7) • Process Analysis at Arnold Palmer Hospital

(Ch. 7)

• Capacity Planning at Arnold Palmer Hospital (Supp. 7)

• Locating the Next Red Lobster (Ch. 8) • Where to Place the Hard Rock Cafe (Ch. 8) • Wheeled Coach: Facility Layout (Ch. 9) • Laying Out Arnold Palmer Hospital’s New

Facility (Ch. 9) • Hard Rock Cafe’s Human Resource

Strategy (Ch. 10) • Darden’s Global Supply Chains (Ch. 11) • Regal Marine: Supply-Chain Management

(Ch. 11) • Arnold Palmer Hospital’s Supply Chain

(Ch. 11) • Darden’s Global Outsourcing (Supp. 11) • Managing Inventory at Frito-Lay (Ch. 12) • Wheeled Coach: Inventory Control (Ch. 12) • Wheeled Coach: Materials Requirements

Planning (Ch. 14) • Scheduling at Hard Rock Cafe (Ch. 15) • JIT at Arnold Palmer Hospital (Ch. 16) • Maintenance Drives Profits at Frito-Lay

(Ch. 17)

ACKNOWLEDGMENTS We thank the many individuals who were kind enough to assist us in this endeavor. The following professors provided insights that guided us in this edition (their names are in bold) and in prior editions:

xxiv Preface

ALABAMA Philip F. Musa University of Alabama at Birmingham

Doug Turner Auburn University

ALASKA Paul Jordan University of Alaska

ARIZONA Susan K. Norman Northern Arizona University

Scott Roberts Northern Arizona University

Vicki L. Smith-Daniels Arizona State University

CALIFORNIA Jean-Pierre Amor University of San Diego

Moshen Attaran California State University–Bakersfield

Ali Behnezhad California State University–Northridge

Joe Biggs California Polytechnic State University

Lesley Buehler Ohlone College

Richard Martin California State University–Long Beach

Zinovy Radovilsky California State University–Hayward

Robert J. Schlesinger San Diego State University

V. Udayabhanu San Francisco State University

Rick Wing San Francisco State University

COLORADO Peter Billington Colorado State University–Pueblo

CONNECTICUT David Cadden Quinnipiac University

Larry A. Flick Norwalk Community Technical College

FLORIDA Rita Gibson Embry-Riddle Aeronautical University

Jim Gilbert Rollins College

Donald Hammond University of South Florida

Ronald K. Satterfield University of South Florida

Theresa A. Shotwell Florida A&M University

GEORGIA John H. Blackstone University of Georgia

Johnny Ho Columbus State University

John Hoft Columbus State University

John Miller Mercer University

Spyros Reveliotis Georgia Institute of Technology

ILLINOIS Suad Alwan Chicago State University

Lori Cook DePaul University

Zafar Malik Governors State University

INDIANA Barbara Flynn Indiana University

B.P. Lingeraj Indiana University

Frank Pianki Anderson University

Stan Stockton Indiana University

Jianghua Wu Purdue University

Xin Zhai Purdue University

IOWA Kevin Watson Iowa State University

Lifang Wu University of Iowa

KANSAS William Barnes Emporia State University

George Heinrich Wichita State University

Sue Helms Wichita State University

Hugh Leach Washburn University

M.J. Riley Kansas State University

Teresita S. Salinas Washburn University

Avanti P. Sethi Wichita State University

KENTUCKY Wade Ferguson Western Kentucky University

Kambiz Tabibzadeh Eastern Kentucky University

LOUISIANA Roy Clinton University of Louisiana at Monroe

L.Wayne Shell (retired) Nicholls State University

MARYLAND Eugene Hahn Salisbury University

Samuel Y. Smith, Jr. University of Baltimore

MASSACHUSETTS Peter Ittig University of Massachusetts

Jean Pierre Kuilboer University of Massachusetts–Boston

Dave Lewis University of Massachusetts–Lowell

Mike Maggard Northeastern University

Peter Rourke Wentworth Institute of Technology

Daniel Shimshak University of Massachusetts–Boston

Ernest Silver Curry College

MICHIGAN Darlene Burk Western Michigan University

Damodar Golhar Western Michigan University

Dana Johnson Michigan Technological University

Doug Moodie Michigan Technological University

MINNESOTA Rick Carlson Metropolitan State University

John Nicolay University of Minnesota

Michael Pesch St. Cloud State University

MISSOURI Shahid Ali Rockhurst University

Stephen Allen Truman State University

Sema Alptekin University of Missouri–Rolla

Gregory L. Bier University of Missouri–Columbia

James Campbell University of Missouri– St. Louis

Wooseung Jang University of Missouri–Columbia

Mary Marrs University of Missouri–Columbia

A. Lawrence Summers University of Missouri

NEBRASKA Zialu Hug University of Nebraska–Omaha

NEW JERSEY Leon Bazil Stevens Institute of Technology

Mark Berenson Montclair State University

Joao Neves The College of New Jersey

Leonard Presby William Paterson University

NEW MEXICO William Kime University of New Mexico

NEW YORK Theodore Boreki Hofstra University

John Drabouski DeVry University

Richard E. Dulski Daemen College

Beate Klingenberg Marist College

Donna Mosier SUNY Potsdam

Elizabeth Perry SUNY Binghamton

William Reisel St. John’s University

Kaushik Sengupta Hofstra University

Girish Shambu Canisius College

Rajendra Tibrewala New York Institute of Technology

NORTH CAROLINA Ray Walters Fayetteville Technical Community College

OHIO Victor Berardi Kent State University

OKLAHOMA Wen-Chyuan Chiang University of Tulsa

OREGON Anne Deidrich Warner Pacific College

Gordon Miller Portland State University

PENNSYLVANIA Henry Crouch Pittsburgh State University

Prafulla Oglekar LaSalle University

David Pentico Duquesne University

Stanford Rosenberg LaRoche College

Edward Rosenthal Temple University

Susan Sherer Lehigh University

RHODE ISLAND Laurie E. Macdonald Bryant College

John Swearingen Bryant College

Susan Sweeney Providence College

SOUTH CAROLINA Larry LaForge Clemson University

Emma Jane Riddle Winthrop University

TENNESSEE Hugh Daniel Lipscomb University

TEXAS Warren W. Fisher Stephen F. Austin State University

Garland Hunnicutt Texas State University

Gregg Lattier Lee College

Preface xxv

Henry S. Maddux III Sam Houston State University

Arunachalam Narayanan Texas A&M University

Ranga V. Ramasesh Texas Christian University

Victor Sower San Houston State University

Cecelia Temponi Texas State University

John Visich-Disc University of Houston

Bruce M. Woodworth University of Texas–El Paso

UTAH William Christensen Dixie State College of Utah

Shane J. Schvaneveldt Weber State University

Madeline Thimmes (retired) Utah State University

VIRGINIA Andy Litteral University of Richmond

Arthur C. Meiners, Jr. Marymount University

Michael Plumb Tidewater Community College

WASHINGTON Mark McKay University of Washington

Chuck Munson Washington State University

Chris Sandvig Western Washington University

John Stec Oregon Institute of Technology

WASHINGTON, DC Narendrea K. Rustagi Howard University

WEST VIRGINIA Charles Englehardt Salem International University

Daesung Ha Marshall University

John Harpell West Virginia University

James S. Hawkes University of Charleston

WISCONSIN James R. Gross University of Wisconsin–Oshkosh

Marilyn K. Hart (retired) University of Wisconsin–Oshkosh

Niranjan Pati University of Wisconsin–La Crosse

X. M. Safford Milwaukee Area Technical College

Rao J. Taikonda University of Wisconsin–Oshkosh

WYOMING Cliff Asay University of Wyoming

INTERNATIONAL Ronald Lau Hong Kong University of Science and Technology

xxvi Preface

In addition, we appreciate the wonderful people at Prentice Hall who provided both help and advice: Eric Svendsen, our editor-in-chief; Chuck Synovec, our dynamic decision sciences edi- tor; Anne Fahlgren, our marketing manager; Jason Calcano, our editorial assistant; Allison Longley, our media project development manager; Courtney Kamauf for her dedicated work on myomlab; Judy Leale, our senior managing editor; Becca Richter, our production project man- ager; Mary Kate Murray, our editorial project manager, and Andrea Stefanowicz, our production editor at PreMediaGlobal, Inc. Reva Shader developed the exemplary subject indexes for this text. Donna Render and Kay Heizer provided the accurate typing and proofing so critical in a rigorous textbook. We are truly blessed to have such a fantastic team of experts directing, guid- ing, and assisting us.

In this edition we were thrilled to be able to include one of the country’s premiere manufac- turers, Frito-Lay, in our ongoing video case series. This was possible because of the wonderful efforts of Tom Rao, VP-Florida Operations and his superb management team, including Todd Ehinger, Jim Wentzel, Angela McCormack, and Rod Hof. We are also particularly grateful to Aurora Gonzalez in the Public Relations Department at Frito-Lay headquarters in Plano, Texas.

We also appreciate the efforts of colleagues who have helped to shape the entire learning package that accompanies this text. Professor Howard Weiss (Temple University) developed the Active Models, Excel OM, and POM for Windows microcomputer software; Professor Jeff Heyl (Lincoln University) created the PowerPoints. Professor Chuck Munson (Washington State University) created the Instructor’s Resource Manual and helped with the major rewrite of Supplement 7; Professor Gregory L. Bier (University of Missouri–Columbia) prepared the Test Bank; Professor Geoff Willis (University of Central Oklahoma) created the online study guide and online virtual tours; Professor Michael Donovan (Cedar Crest College) prepared the study guide; Beverly Amer (Northern Arizona University) produced and directed the videos and DVD Video Case Study series; Professors Keith Willoughby (Bucknell University) and Ken Klassen (Brock University) contributed the two Excel-based simulation games; Professor Gary LaPoint (Syracuse

University) developed the Microsoft Project crashing exercise and the dice game for SPC. Finally, thanks to our accuracy checkers, Annie Puciloski and Vijay Gupta, for their attention to detail. We have been fortunate to have been able to work with all these people.

We wish you a pleasant and productive introduction to operations management.

BARRY RENDER GRADUATE SCHOOL OF BUSINESS ROLLINS COLLEGE WINTER PARK, FL 32789 EMAIL: [email protected]

Preface xxvii

JAY HEIZER TEXAS LUTHERAN UNIVERSITY 1000 W. COURT STREET SEGUIN, TX 78155 EMAIL: [email protected]

THREE VERSIONS ARE AVAILABLE This text is available in three versions: Operations Management, tenth edition, a hardcover; Principles of Operations Management, eighth edition, a paperback; and Operations Management, Flexible Version, a package of a paperback text and the unique Lecture Guide & Activities Manual. All three books include the identical core Chapters 1–17. However, Operations Management, tenth edition, and the Flexible Version, also include six quantitative modules in Part IV.

OPERATIONS MANAGEMENT, TENTH EDITION ISBN: 0-13-611941-7 PART I INTRODUCTION TO OPERATIONS MANAGEMENT

1. Operations and Productivity 2. Operations Strategy in a Global

Environment

3. Project Management 4. Forecasting

PART II DESIGNING OPERATIONS 5. Design of Goods and Services 6. Managing Quality

S6. Statistical Process Control 7. Process Strategy and Sustainability

S7. Capacity and Constraint Management 8. Location Strategies 9. Layout Strategies

10. Human Resources, Job Design, and Work Measurement

PRINCIPLES OF OPERATIONS MANAGEMENT, EIGHTH EDITION ISBN: 0-13-611446-6 PART I INTRODUCTION TO OPERATIONS MANAGEMENT

1. Operations and Productivity 2. Operations Strategy in a Global

Environment

3. Project Management 4. Forecasting

PART II DESIGNING OPERATIONS 5. Design of Goods and Services 6. Managing Quality

S6. Statistical Process Control 7. Process Strategy and Sustainability

S7. Capacity and Constraint Management 8. Location Strategies 9. Layout Strategies

10. Human Resources, Job Design, and Work Measurement

PART III MANAGING OPERATIONS 11. Supply-Chain Management

S11. Outsourcing as a Supply-Chain Strategy 12. Inventory Management 13. Aggregate Planning 14. Material Requirements Planning (MRP) and

ERP

15. Short-Term Scheduling 16. Just-in-Time and Lean Operations 17. Maintenance and Reliability

PART IV QUANTITATIVE MODULES A. Decision-Making Tools B. Linear Programming C. Transportation Models D. Waiting-Line Models E. Learning Curves F. Simulation

ONLINE TUTORIALS 1. Statistical Tools for Managers 2. Acceptance Sampling 3. The Simplex Method of Linear

Programming

4. The MODI and VAM Methods of Solving Transportation Problems

5. Vehicle Routing and Scheduling

xxviii Preface

PART III MANAGING OPERATIONS 11. Supply-Chain Management

S11. Outsourcing as a Supply-Chain Strategy 12. Inventory Management 13. Aggregate Planning 14. Material Requirements Planning (MRP) and

ERP

15. Short-Term Scheduling 16. Just-in-Time and Lean Operations 17. Maintenance and Reliability

ONLINE TUTORIALS 1. Statistical Tools for Managers 2. Acceptance Sampling 3. The Simplex Method of Linear

Programming

4. The MODI and VAM Methods of Solving Transportation Problems

5. Vehicle Routing and Scheduling

This page intentionally left blank

Operations and Productivity

Chapter Outline

GLOBAL COMPANY PROFILE: HARD ROCK CAFE

What Is Operations Management? 4

Organizing to Produce Goods and Services 4

Why Study OM? 6

What Operations Managers Do 7

The Heritage of Operations Management 8

Operations in the Service Sector 10

Exciting New Trends in Operations Management 12

The Productivity Challenge 13

Ethics and Social Responsibility 19 � Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

PART ONE Introduction to Operations Management (Chapters 1–4)

1

GLOBAL COMPANY PROFILE: HARD ROCK CAFE

OPERATIONS MANAGEMENT AT HARD ROCK CAFE

O perations managers throughout the world are

producing products every day to provide for

the well-being of society. These products

take on a multitude of forms. They may be

washing machines at Whirlpool, motion pictures at

Dreamworks, rides at Disney World, or food at Hard

Rock Cafe. These firms produce thousands of complex

products every day—to be delivered as the customer

ordered them, when the customer wants them, and

where the customer wants them. Hard Rock does this

for over 35 million guests worldwide every year. This is

a challenging task, and the operations manager’s job,

2

Hard Rock Cafe in Orlando, Florida, prepares over 3,500 meals each day. Seating more than 1,500 people, it is one of the largest restaurants in the world. But Hard Rock’s operations managers serve the hot food hot and the cold food cold.

Operations managers are interested in the attractiveness of the layout, but they must be sure that the facility contributes to the efficient movement of people and material with the necessary controls to ensure that proper portions are served.

whether at Whirlpool, Dreamworks, Disney, or Hard

Rock, is demanding.

Orlando-based Hard Rock Cafe opened its first

restaurant in London in 1971, making it over 39 years

old and the granddaddy of theme restaurants.

Although other theme restaurants have come and

gone, Hard Rock is still going strong, with 129

restaurants in more than 40 countries—and new

restaurants opening each year. Hard Rock made its

name with rock music memorabilia, having started

when Eric Clapton, a regular customer, marked his

favorite bar stool by hanging his guitar on the wall in

the London cafe. Now Hard Rock has millions of

dollars invested in memorabilia. To keep customers

coming back time and again, Hard Rock creates value

in the form of good food and entertainment.

The operations managers at Hard Rock Cafe at

Universal Studios in Orlando provide more than 3,500

custom products, in this case meals, every day. These

products are designed, tested, and then analyzed for

cost of ingredients, labor requirements, and customer

satisfaction. On approval, menu items are put into

production—and then only if the ingredients are available

from qualified suppliers. The production process, from

receiving, to cold storage, to grilling or baking or frying,

and a dozen other steps, is designed and maintained to

yield a quality meal. Operations managers, using the best

people they can recruit and train, also prepare effective

employee schedules and design efficient layouts.

Managers who successfully design and deliver goods

and services throughout the world understand operations.

In this text, we look not only at how Hard Rock’s managers

create value but also how operations managers in other

services, as well as in manufacturing, do so. Operations

management is demanding, challenging, and exciting.

It affects our lives every day. Ultimately, operations

managers determine how well we live.

Lots of work goes into designing, testing, and costing meals. Then suppliers deliver quality products on time, every time, for well-trained cooks to prepare quality meals. But none of that matters unless an enthusiastic wait staff, such as the one shown here, is doing its job.

3

Efficient kitchen layouts, motivated personnel, tight schedules, and the right ingredients at the right place at the right time are required to delight the customer.

HARD ROCK CAFE �

4 PART 1 Introduction to Operations Management

WHAT IS OPERATIONS MANAGEMENT? Operations management (OM) is a discipline that applies to restaurants like Hard Rock Cafe as well as to factories like Ford and Whirlpool. The techniques of OM apply throughout the world to virtually all productive enterprises. It doesn’t matter if the application is in an office, a hospi- tal, a restaurant, a department store, or a factory—the production of goods and services requires operations management. And the efficient production of goods and services requires effective applications of the concepts, tools, and techniques of OM that we introduce in this book.

As we progress through this text, we will discover how to manage operations in a changing global economy. An array of informative examples, charts, text discussions, and pictures illus- trates concepts and provides information. We will see how operations managers create the goods and services that enrich our lives.

In this chapter, we first define operations management, explaining its heritage and exploring the exciting role operations managers play in a huge variety of organizations. Then we discuss production and productivity in both goods- and service-producing firms. This is followed by a discussion of operations in the service sector and the challenge of managing an effective and effi- cient production system.

Production is the creation of goods and services. Operations management (OM) is the set of activities that creates value in the form of goods and services by transforming inputs into outputs. Activities creating goods and services take place in all organizations. In manufacturing firms, the production activities that create goods are usually quite obvious. In them, we can see the creation of a tangible product such as a Sony TV or a Harley-Davidson motorcycle.

In an organization that does not create a tangible good or product, the production function may be less obvious. We often call these activities services. The services may be “hidden” from the public and even from the customer. The product may take such forms as the transfer of funds from a savings account to a checking account, the transplant of a liver, the filling of an empty seat on an airplane, or the education of a student. Regardless of whether the end product is a good or service, the production activities that go on in the organization are often referred to as operations, or operations management.

ORGANIZING TO PRODUCE GOODS AND SERVICES To create goods and services, all organizations perform three functions (see Figure 1.1). These functions are the necessary ingredients not only for production but also for an organization’s sur- vival. They are:

1. Marketing, which generates the demand, or at least takes the order for a product or service (nothing happens until there is a sale).

2. Production/operations, which creates the product. 3. Finance/accounting, which tracks how well the organization is doing, pays the bills, and

collects the money.

Universities, churches or synagogues, and businesses all perform these functions. Even a volun- teer group such as the Boy Scouts of America is organized to perform these three basic functions. Figure 1.1 shows how a bank, an airline, and a manufacturing firm organize themselves to per- form these functions. The blue-shaded areas of Figure 1.1 show the operations functions in these firms.

Production The creation of goods and services.

Operations management (OM) Activities that relate to the creation of goods and services through the transformation of inputs to outputs.

LO1: Define operations management

Chapter 1 Learning Objectives LO1: Define operations management 4

LO2: Explain the distinction between goods and services 10

LO3: Explain the difference between production and productivity 14

LO4: Compute single-factor productivity 14

LO5: Compute multifactor productivity 15

LO6: Identify the critical variables in enhancing productivity 16

VIDEO 1.1 Operations Management

at Hard Rock

AUTHOR COMMENT Let’s begin by defining what

this course is about.

AUTHOR COMMENT Operations is one of the three

functions that every organization performs.

VIDEO 1.2 Operations Management

at Frito-Lay

Chapter 1 Operations and Productivity 5

Manufacturing

Operations

Facilities Construction; maintenance

Production and inventory control Scheduling; materials control

Quality assurance and control

Manufacturing Tooling; fabrication; assembly

Supply chain management

Design Product development and design Detailed product specifications

Industrial engineering Efficient use of machines, space, and personnel

Process analysis Development and installation of production tools and equipment

Finance/accounting

Disbursements/credits Accounts receivable Accounts payable General ledger

Funds management Money market International exchange

Capital requirements Stock issue Bond issue and recall

Marketing

Sales promotion

Market research Sales Advertising

(C)

Commercial Bank

Operations

Teller scheduling Check clearing Collection Transaction processing Facilities design/layout Vault operations Maintenance Security

Finance

Investments

Real estate Securities

Accounting

Loans Commercial Industrial Financial Personal Mortgage

Trust department

(A)

Auditing

Airline

Operations

Ground support equipment

Maintenance

Ground operations Facility maintenance Catering

Flight operations Crew scheduling Flying Communications Dispatching

Management science

Finance/accounting Accounting

Accounts payable Accounts receivable General ledger

Finance Cash control International

exchange

Marketing

Marketing

Traffic administration Reservations Schedules Tariffs (pricing)

Advertising

Sales

(B)

� FIGURE 1.1 Organization Charts for Two Service Organizations and One Manufacturing Organization (A) a bank, (B) an airline, and (C) a manufacturing organization. The blue areas are OM activities.

AUTHOR COMMENT The areas in blue indicate the significant role that OM plays

in both manufacturing and service firms.

6 PART 1 Introduction to Operations Management

EXAMPLE 1 � Examining the options for increasing contribution

Fisher Technologies is a small firm that must double its dollar contribution to fixed cost and profit in order to be profitable enough to purchase the next generation of production equipment. Management has determined that if the firm fails to increase contribution, its bank will not make the loan and the equipment cannot be purchased. If the firm cannot purchase the equipment, the limitations of the old equipment will force Fisher to go out of business and, in doing so, put its employees out of work and discontinue producing goods and services for its customers.

APPROACH � Table 1.1 shows a simple profit-and-loss statement and three strategic options (marketing, finance/accounting, and operations) for the firm. The first option is a marketing option, where good marketing management may increase sales by 50%. By increasing sales by 50%, contribu- tion will in turn increase 71%. But increasing sales 50% may be difficult; it may even be impossible.

WHY STUDY OM? We study OM for four reasons:

1. OM is one of the three major functions of any organization, and it is integrally related to all the other business functions. All organizations market (sell), finance (account), and produce (operate), and it is important to know how the OM activity functions. Therefore, we study how people organize themselves for productive enterprise.

2. We study OM because we want to know how goods and services are produced. The produc- tion function is the segment of our society that creates the products and services we use.

3. We study OM to understand what operations managers do. Regardless of your job in an organization, you can perform better if you understand what operation managers do. In addi- tion, understanding OM will help you explore the numerous and lucrative career opportuni- ties in the field.

4. We study OM because it is such a costly part of an organization. A large percentage of the revenue of most firms is spent in the OM function. Indeed, OM provides a major opportu- nity for an organization to improve its profitability and enhance its service to society. Exam- ple 1 considers how a firm might increase its profitability via the production function.

The second option is a finance/accounting option, where finance costs are cut in half through good financial management. But even a reduction of 50% is still inadequate for generating the necessary increase in contribution. Contribution is increased by only 21%.

The third option is an OM option, where management reduces production costs by 20% and increases contribution by 114%.

SOLUTION � Given the conditions of our brief example, Fisher Technologies has increased con- tribution from $10,500 to $22,500. It may now have a bank willing to lend it additional funds.

� TABLE 1.1 Options for Increasing Contribution

AUTHOR COMMENT Good OM managers are scarce and, as a result,

career opportunities and pay are excellent.

Marketing Optiona

Finance/ Accounting

Optionb OM

Optionc

Current Increase Sales Revenue 50%

Reduce Finance Costs 50%

Reduce Production Costs 20%

Sales $100,000 $150,000 $100,000 $100,000 Costs of goods –80,000 –120,000 –80,000 –64,000 Gross margin 20,000 30,000 20,000 36,000 Finance costs –6,000 –6,000 –3,000 –6,000 Subtotal 14,000 24,000 17,000 30,000 Taxes at 25% –3,500 –6,000 –4,250 –7,500 Contributiond $ 10,500 $ 18,000 $ 12,750 $ 22,500 aIncreasing sales 50% increases contribution by $7,500, or 71% (7,500/10,500). bReducing finance costs 50% increases contribution by $2,250, or 21% (2,250/10,500). cReducing production costs 20% increases contribution by $12,000, or 114% (12,000/10,500). dContribution to fixed cost (excluding finance costs) and profit.

Chapter 1 Operations and Productivity 7

Example 1 underscores the importance of an effective operations activity of a firm. Development of increasingly effective operations is the approach taken by many companies as they face growing global competition.

WHAT OPERATIONS MANAGERS DO All good managers perform the basic functions of the management process. The management process consists of planning, organizing, staffing, leading, and controlling. Operations managers apply this management process to the decisions they make in the OM function. The 10 major decisions of OM are shown in Table 1.2. Successfully addressing each of these decisions requires planning, organizing, staffing, leading, and controlling. Typical issues relevant to these decisions and the chapter where each is discussed are also shown.

Where Are the OM Jobs? How does one get started on a career in operations? The 10 OM decisions identified in Table 1.2 are made by individuals who work in the disciplines shown in the blue areas of Figure 1.1. Competent business students who know their accounting, statistics, finance, and OM have an opportunity to assume entry-level positions in all of these areas. As you read this text, identify disciplines that can assist you in making these decisions. Then take courses in those

INSIGHT � The OM option not only yields the greatest improvement in contribution but also may be the only feasible option. Increasing sales by 50% and decreasing finance cost by 50% may both be virtually impossible. Reducing operations cost by 20% may be difficult but feasible.

LEARNING EXERCISE � What is the impact of only a 15% decrease in costs in the OM option? [Answer: A $19,500 contribution; an 86% increase.]

Management process The application of planning, organizing, staffing, leading, and controlling to the achievement of objectives.

AUTHOR COMMENT An operations manager must

successfully address the 10 decisions around which

this text is organized.

AUTHOR COMMENT Current OM emphasis on

quality and supply chain has increased job opportunities

in these 10 areas.

Ten Decision Areas Issues Chapter(s)

1. Design of goods and services What good or service should we offer? 5 How should we design these products?

2. Managing quality How do we define the quality? 6, Supplement 6 Who is responsible for quality?

3. Process and capacity design What process and what capacity will these products require?

7, Supplement 7

What equipment and technology is necessary for these processes?

4. Location strategy Where should we put the facility? 8 On what criteria should we base the location

decision?

5. Layout strategy How should we arrange the facility? 9 How large must the facility be to meet our plan?

6. Human resources and job design

How do we provide a reasonable work environment?

10

How much can we expect our employees to produce?

7. Supply-chain management Should we make or buy this component? 11, Supplement 11 Who should be our suppliers and how can we

integrate them into our strategy?

8. Inventory, material requirements planning, and JIT (just-in-time)

How much inventory of each item should we have?

12, 14, 16

When do we reorder?

9. Intermediate and short-term scheduling

Are we better off keeping people on the payroll during slowdowns?

13, 15

Which job do we perform next?

10. Maintenance How do we build reliability into our processes? Who is responsible for maintenance?

17

� TABLE 1.2 Ten Critical Decisions of Operations Management

8 PART 1 Introduction to Operations Management

areas. The more background an OM student has in accounting, statistics, information systems, and mathematics, the more job opportunities will be available. About 40% of all jobs are in OM.

The following professional organizations provide various certifications that may enhance your education and be of help in your career:

• APICS, the Association for Operations Management (www.apics.org) • American Society for Quality (ASQ) (www.asq.org) • Institute for Supply Management (ISM) (www.ism.ws) • Project Management Institute (PMI) (www.pmi.org) • Council of Supply Chain Management Professionals (www.cscmp.org)

Figure 1.2 shows some recent job opportunities.

THE HERITAGE OF OPERATIONS MANAGEMENT The field of OM is relatively young, but its history is rich and interesting. Our lives and the OM discipline have been enhanced by the innovations and contributions of numerous individuals. We now introduce a few of these people, and we provide a summary of significant events in opera- tions management in Figure 1.3.

1/15 Plant Manager Division of Fortune 1000 company seeks plant manager for plant located in the upper Hudson Valley area. This plant manufacturers loading dock equipment for commercial markets. The candidate must be experienced in plant management including expertise in production planning, purchasing, and inventory management. Good written and oral communication skills are a must, along with excellent application of skills in managing people.

2/23 Operations Analyst Expanding national coffee shop: top 10 “Best Places to Work” wants junior level systems analyst to join our excel- lent store improvement team. Business or I.E. degree, work methods, labor standards, ergonomics, cost accounting knowledge a plus. This is a hands-on job and excellent opportunity for a team player with good people skills. West coast location. Some travel required.

4/6 Supply Chain Manager and Planner Responsibilities entail negotiating contracts and establishing long-term relationships with suppliers. We will rely on the selected candidate to maintain accuracy in the purchasing system, invoices, and product returns. A bachelor’s degree and up to 2 years related experience are required. Working knowledge of MRP, ability to use feedback to master scheduling and suppliers and consolidate orders for best price and delivery are necessary. Proficiency in all PC Windows applications, particularly Excel and Word, is essential. Knowledge of Oracle business systems I is a plus. Effective verbal and written communication skills are essential.

3/18 Quality Manager Several openings exist in our small package processing facilities in the Northeast, Florida, and Southern California for quality managers. These highly visible positions require extensive use of statistical tools to monitor all aspects of service, timeliness, and workload measurement. The work involves (1) a combination of hands-on applications and detailed analysis using databases and spreadsheets. (2) process audits to identify areas for improvement and (3) management of implementation of changes. Positions involve night hours and weekends. Send resume.

5/14 Process Improvement Consultants An expanding consulting firm is seeking consultants to design and implement lean production and cycle time reduction plans in both service and manufacturing processes. Our firm is currently working with an international bank to improve its back office operations, as well as with several manufacturing firms. A business degree required; APICS certification a plus.

� FIGURE 1.2 Many Opportunities Exist for Operations Managers

Early Concepts 1776–1880 Labor Specialization (Smith, Babbage) Standardized Parts (Whitney)

Scientific Management Era 1880–1910 Gantt Charts (Gantt) Motion & Time Studies (Gilbreth) Process Analysis (Taylor) Queuing Theory (Erlang)

Mass Production Era 1910–1980 Moving Assembly Line (Ford/Sorensen) Statistical Sampling (Shewhart) Economic Order Quantity (Harris) Linear Programming PERT/CPM (DuPont) Material Requirements Planning (MRP)

Mass Customization Era 1995–2015 Globalization Internet/E-Commerce Enterprise Resource Planning International Quality Standards (ISO) Finite Scheduling Supply-Chain Management Mass Customization Build-to-Order Sustainability

Lean Production Era 1980–1995 Just-in-Time (JIT) Computer-Aided Design (CAD) Electronic Data Interchange (EDI) Total Quality Management (TQM) Baldrige Award Empowerment Kanbans

Chapter 1 Operations and Productivity 9

Eli Whitney (1800) is credited for the early popularization of interchangeable parts, which was achieved through standardization and quality control. Through a contract he signed with the U.S. government for 10,000 muskets, he was able to command a premium price because of their interchangeable parts.

Frederick W. Taylor (1881), known as the father of scientific management, contributed to per- sonnel selection, planning and scheduling, motion study, and the now popular field of ergonom- ics. One of his major contributions was his belief that management should be much more resourceful and aggressive in the improvement of work methods. Taylor and his colleagues, Henry L. Gantt and Frank and Lillian Gilbreth, were among the first to systematically seek the best way to produce.

Another of Taylor’s contributions was the belief that management should assume more responsibility for:

1. Matching employees to the right job. 2. Providing the proper training. 3. Providing proper work methods and tools. 4. Establishing legitimate incentives for work to be accomplished.

By 1913, Henry Ford and Charles Sorensen combined what they knew about standardized parts with the quasi-assembly lines of the meatpacking and mail-order industries and added the revo- lutionary concept of the assembly line, where men stood still and material moved.

Quality control is another historically significant contribution to the field of OM. Walter Shewhart (1924) combined his knowledge of statistics with the need for quality control and pro- vided the foundations for statistical sampling in quality control. W. Edwards Deming (1950)

� FIGURE 1.3 Significant Events in Operations Management

10 PART 1 Introduction to Operations Management

believed, as did Frederick Taylor, that management must do more to improve the work environ- ment and processes so that quality can be improved.

Operations management will continue to progress with contributions from other disciplines, including industrial engineering and management science. These disciplines, along with statis- tics, management, and economics, contribute to improved models and decision making.

Innovations from the physical sciences (biology, anatomy, chemistry, physics) have also con- tributed to advances in OM. These innovations include new adhesives, faster integrated circuits, gamma rays to sanitize food products, and higher-quality glass for LCD and plasma TVs. Innovation in products and processes often depends on advances in the physical sciences.

Especially important contributions to OM have come from information technology, which we define as the systematic processing of data to yield information. Information technology—with wireless links, Internet, and e-commerce—is reducing costs and accelerating communication.

Decisions in operations management require individuals who are well versed in management science, in information technology, and often in one of the biological or physical sciences. In this textbook, we look at the diverse ways a student can prepare for a career in operations management.

OPERATIONS IN THE SERVICE SECTOR Manufacturers produce a tangible product, while service products are often intangible. But many products are a combination of a good and a service, which complicates the definition of a ser- vice. Even the U.S. government has trouble generating a consistent definition. Because defini- tions vary, much of the data and statistics generated about the service sector are inconsistent. However, we define services as including repair and maintenance, government, food and lodg- ing, transportation, insurance, trade, financial, real estate, education, legal, medical, entertain- ment, and other professional occupations.1

Differences Between Goods and Services Let’s examine some of the differences between goods and services:

• Services are usually intangible (for example, your purchase of a ride in an empty airline seat between two cities) as opposed to a tangible good.

• Services are often produced and consumed simultaneously; there is no stored inventory. For instance, the beauty salon produces a haircut that is “consumed” simultaneously, or the doctor produces an operation that is “consumed” as it is produced. We have not yet figured out how to inventory haircuts or appendectomies.

• Services are often unique. Your mix of financial coverage, such as investments and insurance policies, may not be the same as anyone else’s, just as the medical procedure or a haircut pro- duced for you is not exactly like anyone else’s.

• Services have high customer interaction. Services are often difficult to standardize, automate, and make as efficient as we would like because customer interaction demands uniqueness. In fact, in many cases this uniqueness is what the customer is paying for; therefore, the opera- tions manager must ensure that the product is designed (i.e., customized) so that it can be delivered in the required unique manner.

• Services have inconsistent product definition. Product definition may be rigorous, as in the case of an auto insurance policy, but inconsistent because policyholders change cars and mature.

• Services are often knowledge based, as in the case of educational, medical, and legal services, and therefore hard to automate.

• Services are frequently dispersed. Dispersion occurs because services are frequently brought to the client/customer via a local office, a retail outlet, or even a house call.

The activities of the operations function are often very similar for both goods and services. For instance, both goods and services must have quality standards established, and both must be designed and processed on a schedule in a facility where human resources are employed.

Having made the distinction between goods and services, we should point out that in many cases, the distinction is not clear-cut. In reality, almost all services and almost all goods are a mixture of a service and a tangible product. Even services such as consulting may require a tan- gible report. Similarly, the sale of most goods includes a service. For instance, many products

Services Economic activities that typically produce an intangible product (such as education, entertainment, lodging, government, financial, and health services).

LO2: Explain the distinction between goods and services

1This definition is similar to the categories used by the U.S. Bureau of Labor Statistics.

AUTHOR COMMENT Services are especially

important because almost 80% of all jobs are in

service firms.

Chapter 1 Operations and Productivity 11

� FIGURE 1.4 Development of the Service Economy and Manufacturing Productivity

Sources: U.S. Bureau of Labor Statistics; Federal Reserve Board, Industrial Production and Capacity Utilization (2009); and Statistical Abstract of the United States (2008).

Manufacturing employment

(left scale)

0

E m

p lo

ym e n t

(m ill

io n s)

30

10

20

0

125

150

100

75

50

25

E m

p lo

ym e

n t

(m ill

io n

s )

In d

e x : 1 9 9 7 =

1 0 0

1960 1980 2000 1950 1970 1990 2010 (est.)

Industrial production

(right scale)

Manufacturing

Services

1960 1980 2000 1950 1970 1990 2010 (est.)

40

United States

Canada

France

Italy

Britain

Japan

W. Germany

1970 2010 (est.) Percent

40 50 60 70 80

(a) U.S. manufacturing and service employment

(b) Number of people employed in U.S. manufacturing has decreased, but production continues to increase. (c) Services as percentage of GDP

20

40

60

80

100

120

have the service components of financing and delivery (e.g., automobile sales). Many also require after-sale training and maintenance (e.g., office copiers and machinery). “Service” activ- ities may also be an integral part of production. Human resource activities, logistics, accounting, training, field service, and repair are all service activities, but they take place within a manufac- turing organization. Very few services are “pure,” meaning they have no tangible component. Counseling may be one of the exceptions.

Growth of Services Services constitute the largest economic sector in postindustrial societies. Until about 1900, most Americans were employed in agriculture. Increased agricultural productivity allowed people to leave the farm and seek employment in the city. Similarly, manufacturing employment has decreased in the past 30 years. The changes in manufacturing and service employment, in mil- lions, are shown in Figure 1.4(a). Interestingly, as Figure 1.4(b) indicates, the number of people employed in manufacturing has decreased since 1950, but each person is now producing almost 20 times more than in 1950. Services became the dominant employer in the early 1920s, with manufacturing employment peaking at about 32% in 1950. The huge productivity increases in agriculture and manufacturing have allowed more of our economic resources to be devoted to services, as shown in Figure 1.4(c). Consequently, much of the world can now enjoy the plea- sures of education, health services, entertainment, and myriad other things that we call services. Examples of firms and percentage of employment in the U.S. service sector are shown in Table 1.3. Table 1.3 also provides employment percentages for the nonservice sectors of manufactur- ing, construction, agriculture, and mining on the bottom four lines.

Service Pay Although there is a common perception that service industries are low paying, in fact, many service jobs pay very well. Operations managers in the maintenance facility of an airline are very well paid, as are the operations managers who supervise computer services to the financial community. About 42% of all service workers receive wages above the national average. However, the service-sector average is driven down because 14 of the U.S. Department of Commerce categories of the 33 ser- vice industries do indeed pay below the all-private industry average. Of these, retail trade, which pays only 61% of the national private industry average, is large. But even considering the retail sec- tor, the average wage of all service workers is about 96% of the average of all private industries.

Service sector The segment of the economy that includes trade, financial, lodging, education, legal, medical, and other professional occupations.

12 PART 1 Introduction to Operations Management

AUTHOR COMMENT One of the reasons OM is

such an exciting discipline is that an operations manager

is confronted with ever- changing issues, from

technology to sustainability.

EXCITING NEW TRENDS IN OPERATIONS MANAGEMENT OM managers operate in an exciting and dynamic environment. This environment is the result of a variety of challenging forces, from globalization of world trade to the transfer of ideas, prod- ucts, and money at electronic speeds. The direction now being taken by OM—where it has been and where it is going—is shown in Figure 1.5. Let’s look at some of these challenges:

• Ethics: Operations managers’ roles of buying from suppliers, transforming resources into finished goods, and delivering to customers places them at critical junctures where they must frequently make ethical decisions.

• Global focus: The rapid decline in communication and transportation costs has made mar- kets global. Similarly, resources in the form of capital, materials, talent, and labor are now also global. As a result, countries throughout the world are contributing to globalization as they vie for economic growth. Operations managers are rapidly responding with creative designs, efficient production, and quality goods.

• Rapid product development: Rapid international communication of news, entertainment, and lifestyles is dramatically chopping away at the life span of products. Operations managers are responding with management structures, technology, and alliances (partnerships) that are more responsive and effective.

• Environmentally sensitive production: Operation managers’ continuing battle to improve productivity is increasingly concerned with designing products and processes that are ecolog- ically sustainable. That means designing products and packaging that minimize resource use, are biodegradable, can be recycled, and are generally environmentally friendly.

• Mass customization: Once managers recognize the world as the marketplace, the cultural and individual differences become quite obvious. In a world where consumers are increasingly aware of innovation and options, substantial pressure is placed on firms to respond. And oper- ations managers are responding with creative product designs and flexible production processes that cater to the individual whims of consumers. The goal is to produce customized products, whenever and wherever needed.

• Empowered employees: The knowledge explosion and more technical workplace have com- bined to require more competence in the workplace. Operations managers are responding by moving more decision making to individual workers.

• Supply-chain partnering: Shorter product life cycles, demanding customers, and fast changes in technology, material, and processes require supply-chain partners to be more in tune with the needs of end users. And because suppliers can contribute unique expertise, oper- ations managers are outsourcing and building long-term partnerships with critical players in the supply chain.

• Just-in-time performance: Inventory requires financial resources and impedes response to rapid changes in the marketplace. These forces push operations managers to viciously cut inventories at every level, from raw materials to finished goods.

These trends are part of the exciting OM challenges that are discussed in this text.

AUTHOR COMMENT Service jobs with their

operations component are growing as a percentage of

all jobs.

Sector Example Percent of All Jobs

Service Sector Education, Legal, Medical, Other San Diego Zoo, Arnold Palmer Hospital 25.8 Trade (retail, wholesale) Walgreen’s, Wal-Mart, Nordstrom 14.4 Utilities, Transportation Pacific Gas & Electric, American Airlines 5.2 Professional and Business

Services Snelling and Snelling, Waste Management,

Inc. 10.7

78.8

Finance, Information, Real Estate Citicorp, American Express, Prudential, Aetna 9.6 Food, Lodging, Entertainment Olive Garden, Motel 6, Walt Disney 8.5 Public Administration U.S., State of Alabama, Cook County 4.6

Manufacturing Sector General Electric, Ford, U.S. Steel, Intel 11.2 Construction Sector Bechtel, McDermott 8.1 Agriculture King Ranch 1.4 Mining Sector Homestake Mining .5 Grand Total 100.0

� TABLE 1.3 Examples of Organizations in Each Sector

Sources: Statistical Abstract of the United States (2008), Table 600, and Bureau of Labor Statistics, 2008. x

Chapter 1 Operations and Productivity 13

Traditional Approach Reasons for Change Current Challenges

Ethics and regulation not at the forefront

Local, regional, national focus

Lengthy product development

Low-cost production, with little concern for environ- ment; free resources (air, water) ignored

Low-cost standard products

Emphasis on specialized, often manual tasks

Public concern over pollution, corruption, child labor, etc.

Growth of reliable, low-cost communication and transportation

Shorter life cycles; growth of global communication; CAD; Internet

Public sensitivity to environment; ISO 14000 standard; increasing disposal costs

Rise of consumerism; increased affluence; individualism

Recognizing the importance of the employee’s total contribution; knowledge society

High ethical and social responsibility; increased legal and professional standards (all chapters)

Global focus; international collaboration (Chapters 2, 11)

Rapid product development; design collaboration (Chapter 5)

Environmentally sensitive production; green manufacturing; sustainability (Chapters 5, 7)

Mass customization (Chapters 5, 7)

Empowered employees; enriched jobs (Chapter 10)

“In-house” production; low-bid purchasing

Rapid technology change; increasing competitive forces

Supply-chain partnering; joint ventures; alliances (Chapter 11, Supplement 11)

Large lot production Shorter product life; increasing need to reduce inventory

Just-in-time performance; lean; continuous improvement (Chapter 16)

� FIGURE 1.5 Changing Challenges for the Operations Manager

THE PRODUCTIVITY CHALLENGE The creation of goods and services requires changing resources into goods and services. The more efficiently we make this change, the more productive we are and the more value is added to the good or service provided. Productivity is the ratio of outputs (goods and services) divided by the inputs (resources, such as labor and capital) (see Figure 1.6). The operations manager’s job is to enhance (improve) this ratio of outputs to inputs. Improving productivity means improving efficiency.2

AUTHOR COMMENT Why is productivity

important? Because it determines our standard

of living.

� FIGURE 1.6 The Economic System Adds Value by Transforming Inputs to Outputs An effective feedback loop evaluates performance against a strategy or standard. It also evaluates customer satisfaction and sends signals to managers controlling the inputs and transformation process.

Inputs Transformation Outputs

Feedback loop

Goods and services

The U.S. economic system transforms inputs

to outputs at about an annual 2.5% increase in

productivity per year. The productivity increase is

the result of a mix of capital (38% of 2.5%), labor (10% of 2.5%),

and management (52% of 2.5%).

Labor, capital,

management

Productivity The ratio of outputs (goods and services) divided by one or more inputs (such as labor, capital, or management).

2Efficiency means doing the job well—with a minimum of resources and waste. Note the distinction between being efficient, which implies doing the job well, and effective, which means doing the right thing. A job well done—say, by applying the 10 decisions of operations management—helps us be efficient; developing and using the correct strategy helps us be effective.

14 PART 1 Introduction to Operations Management

“This is a game of seconds . . .” says Silva Peterson, whom Starbucks has put in charge of saving seconds. Her team of 10 analysts is constantly asking themselves: “How can we shave time off this?”

Peterson’s analysis suggested that there were some obvious opportunities. First, stop requiring signatures on credit card purchases under $25. This sliced 8 seconds off the transaction time at the cash register.

Then analysts noticed that Starbucks’s largest cold beverage, the Venti size, required two bending and digging motions to scoop up enough ice. The scoop was too small. Redesign of the scoop provided the proper amount in one motion and cut 14 seconds off the average time of one minute.

Third were new espresso machines; with the push of a button, the machines grind coffee beans and brew. This

allowed the server, called a “barista” in Starbucks’s vocabulary, to do other things. The savings: about 12 seconds per espresso shot.

As a result, operations improvements at Starbucks outlets have increased the average yearly volume by nearly $200,000, to about $940,000 in the past 6 years. This is a 27% improvement in productivity—about 4.5% per year. In the service industry, a 4.5% per year increase is very tasty.

Sources: The Wall Street Journal (August 4, 2009): A1, A10 and (April 12, 2005): B2:B7; Industrial Engineer (January 2006): 66; and www.finfacts. com, October 6, 2005.

OM in Action � Improving Productivity at Starbucks

This improvement can be achieved in two ways: reducing inputs while keeping output con- stant or increasing output while keeping inputs constant. Both represent an improvement in pro- ductivity. In an economic sense, inputs are labor, capital, and management, which are integrated into a production system. Management creates this production system, which provides the con- version of inputs to outputs. Outputs are goods and services, including such diverse items as guns, butter, education, improved judicial systems, and ski resorts. Production is the making of goods and services. High production may imply only that more people are working and that employment levels are high (low unemployment), but it does not imply high productivity.

Measurement of productivity is an excellent way to evaluate a country’s ability to provide an improving standard of living for its people. Only through increases in productivity can the standard of living improve. Moreover, only through increases in productivity can labor, capital, and manage- ment receive additional payments. If returns to labor, capital, or management are increased without increased productivity, prices rise. On the other hand, downward pressure is placed on prices when productivity increases, because more is being produced with the same resources.

The benefits of increased productivity are illustrated in the OM in Action box “Improving Productivity at Starbucks.”

For well over a century (from about 1869), the U.S. has been able to increase productivity at an average rate of almost 2.5% per year. Such growth has doubled U.S. wealth every 30 years. The manufacturing sector, although a decreasing portion of the U.S. economy, has recently seen annual productivity increases exceeding 4%, and the service sector, with increases of almost 1%, has also shown some improvement. The combination has moved U.S. annual productivity growth in this early part of the 21st century slightly above the 2.5% range for the economy as a whole.3

In this text, we examine how to improve productivity through operations management. Productivity is a significant issue for the world and one that the operations manager is uniquely qualified to address.

Productivity Measurement The measurement of productivity can be quite direct. Such is the case when productivity is mea- sured by labor-hours per ton of a specific type of steel. Although labor-hours is a common measure of input, other measures such as capital (dollars invested), materials (tons of ore), or energy (kilo- watts of electricity) can be used.4 An example of this can be summarized in the following equation:

(1-1)Productivity = Units produced

Input used

LO4: Compute single- factor productivity

4The quality and time period are assumed to remain constant.

3U.S. Dept. of Labor, July 2009: www.bls.gov/ipc/prodybar.html

LO3: Explain the difference between production and productivity

Chapter 1 Operations and Productivity 15

For example, if units and labor-hours used is 250, then:

The use of just one resource input to measure productivity, as shown in Equation (1-1), is known as single-factor productivity. However, a broader view of productivity is multifactor productivity, which includes all inputs (e.g., capital, labor, material, energy). Multifactor pro- ductivity is also known as total factor productivity. Multifactor productivity is calculated by combining the input units as shown here:

(1-2)

To aid in the computation of multifactor productivity, the individual inputs (the denominator) can be expressed in dollars and summed as shown in Example 2.

Productivity = Output

Labor + Material + Energy + Capital + Miscellaneous

Productivity = Units produced

Labor-hours used =

1,000

250 = 4 units per labor-hour

produced = 1,000 Single-factor productivity Indicates the ratio of one resource (input) to the goods and services produced (outputs).

Multifactor productivity Indicates the ratio of many or all resources (inputs) to the goods and services produced (outputs).

LO5: Compute multifactor productivity

� EXAMPLE 2 Computing single- factor and multifactor gains in productivity

Collins Title wants to evaluate its labor and multifactor productivity with a new computerized title- search system. The company has a staff of four, each working 8 hours per day (for a payroll cost of $640/day) and overhead expenses of $400 per day. Collins processes and closes on 8 titles each day. The new computerized title-search system will allow the processing of 14 titles per day. Although the staff, their work hours, and pay are the same, the overhead expenses are now $800 per day.

APPROACH � Collins uses Equation (1-1) to compute labor productivity and Equation (1-2) to compute multifactor productivity.

SOLUTION �

Labor productivity has increased from .25 to .4375. The change is or a 75% increase in labor productivity. Multifactor productivity has increased from .0077 to .0097. This change is or a 26% increase in multifactor productivity.

INSIGHT � Both the labor (single-factor) and multifactor productivity measures show an increase in productivity. However, the multifactor measure provides a better picture of the increase because it includes all the costs connected with the increase in output.

LEARNING EXERCISE � If the overhead goes to $960 (rather than $800), what is the multi- factor productivity? [Answer: .00875.]

RELATED PROBLEMS � 1.1, 1.2, 1.5, 1.6, 1.7, 1.8, 1.9, 1.11, 1.12, 1.14, 1.15

(.0097 - .0077)>.0077 = 0.26,

(.4375 - .25)>.25 = 0.75,

Multifactor productivity with the new system: 14 titles per day

$640 + 800 = .0097 titles per dollar

Multifactor productivity with the old system: 8 titles per day $640 + 400

= .0077 titles per dollar

Labor productivity with the new system: 14 titles per day 32 labor-hours = .4375 titles per labor-hour

Labor productivity with the old system: 8 titles per day 32 labor-hours = .25 titles per labor-hour

Use of productivity measures aids managers in determining how well they are doing. But results from the two measures can be expected to vary. If labor productivity growth is entirely the result of capital spending, measuring just labor distorts the results. Multifactor productivity is usually better, but more complicated. Labor productivity is the more popular measure. The multifactor- productivity measures provide better information about the trade-offs among factors, but sub- stantial measurement problems remain. Some of these measurement problems are:

1. Quality may change while the quantity of inputs and outputs remains constant. Compare an HDTV of this decade with a black-and-white TV of the 1950s. Both are TVs, but few peo- ple would deny that the quality has improved. The unit of measure—a TV—is the same, but the quality has changed.

2. External elements may cause an increase or a decrease in productivity for which the system under study may not be directly responsible. A more reliable electric power service may

16 PART 1 Introduction to Operations Management

Productivity variables The three factors critical to productivity improvement— labor, capital, and the art and science of management.

LO6: Identify the critical variables in enhancing productivity

5“Can’t Read, Can’t Count,” Scientific American (October 2001): 24; and “Economic Time Bomb: U.S. Teens Are among Worst at Math,” The Wall Street Journal (December 7, 2004): B1.

Which of the following is true about 84% of 100?

It is greater than 100

It is less than 100

It is equal to 100

What is the area of this rectangle?

6 yds

4 yds

4 square yds

6 square yds

10 square yds

20 square yds

24 square yds

If 9y + 3 = 6y + 15 then y =

1

2

4

6

FIGURE 1.7 � About Half of the 17-Year-Olds in the U.S. Cannot Correctly Answer Questions of This Type

greatly improve production, thereby improving the firm’s productivity because of this sup- port system rather than because of managerial decisions made within the firm.

3. Precise units of measure may be lacking. Not all automobiles require the same inputs: Some cars are subcompacts, others are 911 Turbo Porsches.

Productivity measurement is particularly difficult in the service sector, where the end product can be hard to define. For example, economic statistics ignore the quality of your haircut, the outcome of a court case, or service at a retail store. In some cases, adjustments are made for the quality of the product sold but not the quality of the sales presentation or the advantage of a broader product selection. Productivity measurements require specific inputs and outputs, but a free economy is producing worth—what people want—which includes convenience, speed, and safety. Traditional measures of outputs may be a very poor measure of these other measures of worth. Note the quality-measurement problems in a law office, where each case is different, altering the accuracy of the measure “cases per labor-hour” or “cases per employee.”

Productivity Variables As we saw in Figure 1.6, productivity increases are dependent on three productivity variables:

1. Labor, which contributes about 10% of the annual increase. 2. Capital, which contributes about 38% of the annual increase. 3. Management, which contributes about 52% of the annual increase.

These three factors are critical to improved productivity. They represent the broad areas in which managers can take action to improve productivity.

Labor Improvement in the contribution of labor to productivity is the result of a healthier, better-educated, and better-nourished labor force. Some increase may also be attributed to a shorter workweek. Historically, about 10% of the annual improvement in productivity is attributed to improvement in the quality of labor. Three key variables for improved labor productivity are:

1. Basic education appropriate for an effective labor force. 2. Diet of the labor force. 3. Social overhead that makes labor available, such as transportation and sanitation.

Illiteracy and poor diets are a major impediment to productivity, costing countries up to 20% of their productivity. Infrastructure that yields clean drinking water and sanitation is also an oppor- tunity for improved productivity, as well as an opportunity for better health, in much of the world.

In developed nations, the challenge becomes maintaining and enhancing the skills of labor in the midst of rapidly expanding technology and knowledge. Recent data suggest that the average American 17-year-old knows significantly less mathematics than the average Japanese at the same age, and about half cannot answer the questions in Figure 1.7. Moreover, more than 38% of American job applicants tested for basic skills were deficient in reading, writing, or math.5

AUTHOR COMMENT Perhaps as many as 25% of U.S. workers lack the basic skills needed for

their current job.

Chapter 1 Operations and Productivity 17

Overcoming shortcomings in the quality of labor while other countries have a better labor force is a major challenge. Perhaps improvements can be found not only through increasing competence of labor but also via better utilized labor with a stronger commitment. Training, motivation, team building, and the human resource strategies discussed in Chapter 10, as well as improved education, may be among the many techniques that will contribute to increased labor productivity. Improvements in labor productivity are possible; however, they can be expected to be increasingly difficult and expensive.

Capital Human beings are tool-using animals. Capital investment provides those tools. Capital investment has increased in the U.S. every year except during a few very severe recession periods. Annual capital investment in the U.S. has increased at an annual rate of 1.5% after allowances for depreciation.

Inflation and taxes increase the cost of capital, making capital investment increasingly expensive. When the capital invested per employee drops, we can expect a drop in productivity. Using labor rather than capital may reduce unemployment in the short run, but it also makes economies less productive and therefore lowers wages in the long run. Capital investment is often a necessary, but seldom a sufficient ingredient in the battle for increased productivity.

The trade-off between capital and labor is continually in flux. The higher the cost of capital, the more projects requiring capital are “squeezed out”: they are not pursued because the potential return on investment for a given risk has been reduced. Managers adjust their investment plans to changes in capital cost.

Management Management is a factor of production and an economic resource. Manage- ment is responsible for ensuring that labor and capital are effectively used to increase produc- tivity. Management accounts for over half of the annual increase in productivity. This increase includes improvements made through the use of knowledge and the application of technology.

Using knowledge and technology is critical in postindustrial societies. Consequently, post- industrial societies are also known as knowledge societies. Knowledge societies are those in which much of the labor force has migrated from manual work to technical and information- processing tasks requiring ongoing education. The required education and training are important high-cost items that are the responsibility of operations managers as they build organizations and workforces. The expanding knowledge base of contemporary society requires that managers use technology and knowledge effectively.

More effective use of capital also contributes to productivity. It falls to the operations man- ager, as a productivity catalyst, to select the best new capital investments as well as to improve the productivity of existing investments.

Knowledge society A society in which much of the labor force has migrated from manual work to work based on knowledge.

The effective use of capital often means finding the proper trade-off between investment in capital assets (automation, left) and human assets (a manual process, right). While there are risks connected with any investment, the cost of capital and physical investments is fairly clear-cut, but the cost of employees has many hidden costs including fringe benefits, social insurance, and legal constraints on hiring, employment, and termination.

18 PART 1 Introduction to Operations Management

The productivity challenge is difficult. A country cannot be a world-class competitor with second-class inputs. Poorly educated labor, inadequate capital, and dated technology are second-class inputs. High productivity and high-quality outputs require high-quality inputs, including good operations managers.

Productivity and the Service Sector The service sector provides a special challenge to the accurate measurement of productivity and productivity improvement. The traditional analytical framework of economic theory is based pri- marily on goods-producing activities. Consequently, most published economic data relate to goods production. But the data do indicate that, as our contemporary service economy has increased in size, we have had slower growth in productivity.

Productivity of the service sector has proven difficult to improve because service-sector work is:

1. Typically labor intensive (for example, counseling, teaching). 2. Frequently focused on unique individual attributes or desires (for example, investment

advice). 3. Often an intellectual task performed by professionals (for example, medical diagnosis). 4. Often difficult to mechanize and automate (for example, a haircut). 5. Often difficult to evaluate for quality (for example, performance of a law firm).

The more intellectual and personal the task, the more difficult it is to achieve increases in produc- tivity. Low-productivity improvement in the service sector is also attributable to the growth of low-productivity activities in the service sector. These include activities not previously a part of the measured economy, such as child care, food preparation, house cleaning, and laundry ser- vice. These activities have moved out of the home and into the measured economy as more and more women have joined the workforce. Inclusion of these activities has probably resulted in lower measured productivity for the service sector, although, in fact, actual productivity has probably increased because these activities are now more efficiently produced than previously.

However, in spite of the difficulty of improving productivity in the service sector, improve- ments are being made. And this text presents a multitude of ways to make these improvements. Indeed, what can be done when management pays attention to how work actually gets done is astonishing!

Although the evidence indicates that all industrialized countries have the same problem with service productivity, the U.S. remains the world leader in overall productivity and service pro- ductivity. Retailing is twice as productive in the U.S. as in Japan, where laws protect shopkeep- ers from discount chains. The U.S. telephone industry is at least twice as productive as Germany’s. The U.S. banking system is also 33% more efficient than Germany’s banking oligop- olies. However, because productivity is central to the operations manager’s job and because the service sector is so large, we take special note in this text of how to improve productivity in the service sector. (See, for instance, the OM in Action box “Taco Bell Improves Productivity and Goes Green to Lower Costs.”)

Siemens, the multi-billion-dollar German conglomerate, has long been known for its apprentice programs in its home country. Because education is often the key to efficient operations in a technological society, Siemens has spread its apprentice-training programs to its U.S. plants. These programs are laying the foundation for the highly skilled workforce that is essential for global competitiveness.

Chapter 1 Operations and Productivity 19

ETHICS AND SOCIAL RESPONSIBILITY Operations managers are subjected to constant changes and challenges. The systems they build to convert resources into goods and services are complex. The physical and social environment changes, as do laws and values. These changes present a variety of challenges that come from the conflicting perspectives of stakeholders such as customers, distributors, suppliers, owners, lenders, and employees. These stakeholders, as well as government agencies at various levels, require constant monitoring and thoughtful responses.

Identifying ethical and socially responsible responses while building productive systems is not always clear-cut. Among the many ethical challenges facing operations managers are:

• Efficiently developing and producing safe, quality products. • Maintaining a sustainable environment. • Providing a safe workplace. • Honoring stakeholder commitments.

Managers must do all of this in an ethical and socially responsible way while meeting the demands of the marketplace. If operations managers have a moral awareness and focus on increasing productivity in a system where all stakeholders have a voice, then many of the ethical challenges will be successfully addressed. The organization will use fewer resources, the employees will be committed, the market will be satisfied, and the ethical climate will be enhanced. Throughout this text, we note ways in which operations managers can take ethical and socially responsible actions while successfully addressing these challenges of the market. We also conclude each chapter with an Ethical Dilemma exercise (see the Lecture Guide & Activities Manual).

Founded in 1962 by Glenn Bell, Taco Bell seeks competitive advantage via low cost. Like many other services, Taco Bell relies on its operations management to improve productivity and reduce cost.

Its menu and meals are designed to be easy to prepare. Taco Bell has shifted a substantial portion of food preparation to suppliers who could perform food processing more efficiently than a stand-alone restaurant. Ground beef is precooked prior to arrival and then reheated, as are many dishes that arrive in plastic boil bags for easy sanitary reheating. Similarly, tortillas arrive already fried and onions prediced. Efficient layout and automation has cut to 8 seconds the time needed to prepare tacos and burritos and has cut time in the drive-thru lines by one minute. These advances have been combined with training and empowerment to increase the span of management from one supervisor for 5 restaurants to one supervisor for 30 or more.

Operations managers at Taco Bell believe they have cut in-store labor by 15 hours per day and reduced floor space by more than 50%. The result is a store that can handle twice the volume with half the labor.

In 2010, Taco Bell will have completed the rollout of its new Grill-to-Order kitchens by installing water- and energy- savings grills that conserve 300 million gallons of water and 200 million KwH of electricity each year. This “green”- inspired cooking method also saves the company’s 5,600 restaurants $17 million per year.

Effective operations management has resulted in productivity increases that support Taco Bell’s low-cost strategy. Taco Bell is now the fast-food low-cost leader with a 73% share of the Mexican fast-food market.

Sources: Energy Business Journal (May 12, 2008): 111; Harvard Business Review (July/August 2008): 118; and J. Hueter and W. Swart, Interfaces (January–February 1998): 75–91.

OM in Action � Taco Bell Improves Productivity and Goes Green to Lower Costs

Operations, marketing, and finance/accounting are the three functions basic to all organizations. The operations function creates goods and services. Much of the progress of operations management has been made in the twentieth century, but since the beginning of time, humankind has been attempting to improve its material well-being. Oper- ations managers are key players in the battle to improve productivity.

As societies become increasingly affluent, more of their resources are devoted to services. In the U.S., more than three-quarters of the workforce is employed in the service sector. Produc- tivity improvements are difficult to achieve, but operations managers are the primary vehicle for making improvements.

CHAPTER SUMMARY

AUTHOR COMMENT Ethics must drive all of a manager’s

decisions.

20 PART 1 Introduction to Operations Management

Key Terms

Production (p. 4) Operations management (OM) (p. 4) Management process (p. 7) Services (p. 10)

Service sector (p. 11) Productivity (p. 13) Single-factor productivity (p. 15) Multifactor productivity (p. 15)

Productivity variables (p. 16) Knowledge society (p. 17)

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 1.1 Productivity can be measured in a variety of ways, such as by labor, capital, energy, material usage, and so on. At Modern Lumber, Inc., Art Binley, president and producer of apple crates sold to growers, has been able, with his current equipment, to produce 240 crates per 100 logs. He currently purchases 100 logs per day, and each log

requires 3 labor-hours to process. He believes that he can hire a professional buyer who can buy a better-quality log at the same cost. If this is the case, he can increase his production to 260 crates per 100 logs. His labor-hours will increase by 8 hours per day.

What will be the impact on productivity (measured in crates per labor-hour) if the buyer is hired?

� SOLUTION

(a)

= .8 crates per labor-hour =

240

300

Current labor productivity = 240 crates

100 logs * 3 hours>log

(b)

Using current productivity (.80 from [a]) as a base, the increase will be 5.5% (.844/.8 = 1.055, or a 5.5% increase).

= .844 crates per labor-hour =

260

308

Labor productivity with buyer

= 260 crates

(100 logs * 3 hours>log) + 8 hours

Current System

Labor: 300 hrs. @10 = 3,000 Material: 100 logs/day 1,000 Capital: 350 Energy: 150 Total Cost: $4,500

Multifactor productivity of current system: crates/dollar= 240 crates>4,500 = .0533

� SOLVED PROBLEM 1.2 Art Binley has decided to look at his productivity from a multifac- tor (total factor productivity) perspective (refer to Solved Problem 1.1). To do so, he has determined his labor, capital, energy, and material usage and decided to use dollars as the common denomi- nator. His total labor-hours are now 300 per day and will increase

System with Professional Buyer

308 hrs. @10 = $3,080 1,000

350 150

$4,580

Multifactor productivity of proposed system: crates/dollar= 260 crates>4,580 = .0568

to 308 per day. His capital and energy costs will remain constant at $350 and $150 per day, respectively. Material costs for the 100 logs per day are $1,000 and will remain the same. Because he pays an average of $10 per hour (with fringes), Binley determines his productivity increase as follows:

� SOLUTION

Using current productivity (.0533) as a base, the increase will be .066. That is, or a 6.6% increase..0568>.0533 = 1.066,

� Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Zychol Chemicals Corp.: The production manager must prepare a productivity report, which includes multifactor analysis.

Chapter 1 Operations and Productivity 21

Bibliography

Broedner, P., S. Kinkel, and G. Lay. “Productivity Effects of Outsourcing.” International Journal of Operations and Production Management 29, no. 2 (2009): 127.

Hounshell, D. A. From the American System to Mass Production 1800–1932: The Development of Manufacturing. Baltimore: Johns Hopkins University Press, 1985.

Lewis, William W. The Power of Productivity. Chicago: University of Chicago Press, 2004.

Maroto, A., and L. Rubalcaba. “Services Productivity Revisited.” The Service Industries Journal 28, no. 3 (April 2008): 337.

Sahay, B. S. “Multi-factor Productivity Measurement Model for Service Organization.” International Journal of Productivity and Performance Management 54, no. 1–2 (2005): 7–23.

San, G., T. Huang, and L. Huang. “Does Labor Quality Matter on Productivity Growth?” Total Quality Management and Business Excellence 19, no. 10 (October 2008): 1043.

Sprague, Linda G. “Evolution of the Field of Operations Management,” Journal of Operations Management 25, no. 2 (March 2007): 219–238.

Tangen, S. “Demystifying Productivity and Performance.” International Journal of Productivity and Performance Measurement 54, no. 1–2 (2005): 34–47.

Taylor, F. W. The Principles of Scientific Management. New York: Harper & Brothers, 1911.

van Biema, Michael, and Bruce Greenwald. “Managing Our Way to Higher Service-Sector Productivity.” Harvard Business Review 75, no. 4 (July–August 1997): 87–95.

Wren, Daniel A. The Evolution of Management Thought, New York: Wiley, 1994.

This page intentionally left blank

Operations Strategy in a Global Environment

Chapter Outline

GLOBAL COMPANY PROFILE: BOEING

A Global View of Operations 26

Developing Missions and Strategies 30

Achieving Competitive Advantage Through Operations 31

Ten Strategic OM Decisions 35

Issues in Operations Strategy 36

Strategy Development and Implementation 39

Global Operations Strategy Options 42

23

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

This state-of-the-art Boeing 787 is also global. Led

by Boeing at its Everett, Washington, facility, an

international team of aerospace companies developed

the airplane. New technologies, new design, new

manufacturing processes, and committed international

suppliers are helping Boeing and its partners achieve

unprecedented levels of performance in design,

manufacture, and operation.

The 787 is global not only because it has a range

of 8,300 miles but also because it is built all over the

world—with a huge financial risk of over $5 billion,

Boeing needed partners. The global nature of both

technology and the aircraft market meant finding

exceptional developers and suppliers, wherever they

might be. It also meant finding firms willing to step up

to the risk associated with a very expensive new

product. These partners not only spread the risk but

also bring commitment to the table. Countries that

have a stake in the 787 are more likely to buy from

Boeing than from the European competitor Airbus

Industries.

Boeing teamed with more than 20 international

systems suppliers to develop technologies and design

concepts for the 787. Boeing found its 787 partners in

over a dozen countries; a few of them are shown in the

table on the left.

With the 787’s state-of-the-art design, more spacious interior, and global suppliers, Boeing has garnered record sales worldwide.

GLOBAL COMPANY PROFILE: BOEING

BOEING’S GLOBAL STRATEGY YIELDS COMPETITIVE ADVANTAGE

B oeing’s strategy for its 787 Dreamliner is

unique from both an engineering and global

perspective.

The Dreamliner incorporates the latest in a

wide range of aerospace technologies, from airframe

and engine design to superlightweight titanium graphite

laminate, carbon fiber and epoxy, and composites.

Another innovation is the electronic monitoring system

that allows the airplane to report maintenance

requirements to ground-based computer systems.

Boeing has also worked with General Electric and

Rolls-Royce to develop more efficient engines. The

advances in engine technology contribute as much as

8% of the increased fuel/payload efficiency of the new

airplane, representing a nearly two-generation jump in

technology.

Some of the International Suppliers of Boeing 787 Components

Latecoere France Passenger doors Labinel France Wiring Dassault France Design and PLM software Messier-Bugatti France Electric brakes Thales France Electrical power conversion

system and integrated standby flight display

Messier-Dowty France Landing gear structure Diehl Germany Interior lighting Cobham UK Fuel pumps and valves Rolls-Royce UK Engines Smiths Aerospace UK Central computer system BAE Systems UK Electronics Alenia

Aeronautica Italy Upper center fuselage and

horizontal stabilizer Toray Industries Japan Carbon fiber for wing and

tail units Fuji Heavy

Industries Japan Center wing box

Kawasaki Heavy Industries

Japan Forward fuselage, fixed sections of wing, landing gear wheel well

Teijin Seiki Japan Hydraulic actuators Mitsubishi Heavy

Industries Japan Wing box

Chengdu Aircraft Group

China Rudder

Hafei Aviation China Parts Korean Airlines South Korea Wingtips Saab Sweden Cargo and access doors

24

Boeing’s collaborative technol- ogy enables a “virtual work- space” that allows engineers on the 787, including partners in Australia, Japan, Italy, Canada and across the United States, to make concurrent design changes to the airplane in real time. Designing, building, and testing the 787 digitally before production reduced design errors and improved production efficiencies.

State-of-the-art composite sections of the 787 are built around the world and shipped to Boeing for final assembly.

Components from Boeing’s worldwide supply chain come together on an assembly line in Everett, Washington. Although components come from throughout the world, about 35% of the 787 structure comes from Japanese companies.

The Japanese companies Toray, Teijin Seiki, Fuji,

Kawasaki, and Mitsubishi are producing over 35% of

the project, providing whole composite fuselage

sections. Italy’s Alenia Aeronautica is building an

additional 10% of the plane.

Many U.S. companies, including Crane Aerospace,

Fairchild Controls, Goodrich, General Dynamics,

Hamilton Sundstrand, Honeywell, Moog, Parker

Hannifin, Rockwell Collins, and Triumph Group are

also suppliers. Boeing has 70% to 80% of the

Dreamliner built by other companies. And even some

of the portion built by Boeing is produced at Boeing

facilities outside the United States, in Australia and

Canada.

The global Dreamliner is efficient, has a global

range, and is made from components produced

around the world. The result: a state-of-the-art airplane

reflecting the global nature of business in the 21st

century and one of the fastest-selling commercial

jets in history.

25

BOEING �

26 PART 1 Introduction to Operations Management

A GLOBAL VIEW OF OPERATIONS Today’s operations manager must have a global view of operations strategy. Since the early 1990s, nearly 3 billion people in developing countries have overcome the cultural, religious, eth- nic, and political barriers that constrain productivity and are now players on the global economic stage. As these barriers disappear, simultaneous advances are being made in technology, reliable shipping, and cheap communication. The unsurprising result is the growth of world trade (see Figure 2.1), global capital markets, and the international movement of people; This means: increasing economic integration and interdependence of countries—in a word, globalization. In response, organizations are hastily extending their operations globally with innovative strategies. For instance:

• Boeing is competitive because both its sales and production are worldwide. • Italy’s Benetton moves inventory to stores around the world faster than its competition by

building flexibility into design, production, and distribution. • Sony purchases components from suppliers in Thailand, Malaysia, and elsewhere around the

world for assembly in its electronic products. • Volvo, considered a Swedish company, recently controlled by a U.S. company, Ford. But the

current Volvo S40 is built in Belgium on a platform shared with the Mazda 3 (built in Japan) and the Ford Focus (built and sold in Europe.)

• China’s Haier (pronounced “higher”) is now producing compact refrigerators (it has one-third of the U.S. market) and refrigerated wine cabinets (it has half of the U.S. market) in South Carolina.

Globalization means that domestic production and exporting may no longer be a viable busi- ness model; local production and exporting no longer guarantee success or even survival. There are new standards of global competitiveness that impact quality, variety, customization, conve- nience, timeliness, and cost. The globalization of strategy contributes efficiency and adds value to products and services, but it also complicates the operations manager’s job. Complexity, risk and competition are intensified; companies must carefully account for them.

LO1: Define mission and strategy 30

LO2: Identify and explain three strategic approaches to competitive advantage 30

LO3: Identify and define the 10 decisions of operations management 35

Chapter 2 Learning Objectives LO4: Understand the significance

of key success factors and core competencies 39

LO5: Identify and explain four global operations strategy options 42

0

5

10

15

20

30

P e rc

e n t

1960

25

35

1970 1975 1980 1985 1990 1995 2000 20051965 Year

Collapse of the Berlin Wall

2010 (est.*)

� FIGURE 2.1

Growth of World Trade (world trade as a percentage of world GDP)

AUTHOR COMMENT As Prof. Thomas Sewell

observed, “No great civilization has developed

in isolation.”

* Author estimate for 2010.

Source: Based on a speech by Mark A. Wynne, Federal Reserve Bank of Dallas, June 2009.

Chapter 2 Operations Strategy in a Global Environment 27

Maquiladoras Mexican factories located along the U.S.–Mexico border that receive preferential tariff treatment.

1The 27 members of the European Union (EU) as of 2010 were Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, the Netherlands, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, United Kingdom. Not all have adopted the euro. In addition, Croatia, Macedonia, and Turkey are candidates for entry into the European Union.

We have identified six reasons why domestic business operations decide to change to some form of international operation. They are:

1. Reduce costs (labor, taxes, tariffs, etc.). 2. Improve the supply chain. 3. Provide better goods and services. 4. Understand markets. 5. Learn to improve operations. 6. Attract and retain global talent.

Let us examine, in turn, each of the six reasons.

Reduce Costs Many international operations seek to take advantage of the tangible opportuni- ties to reduce their costs. Foreign locations with lower wages can help lower both direct and indi- rect costs. (See the OM in Action box “U.S. Cartoon Production at Home in Manila.”) Less stringent government regulations on a wide variety of operation practices (e.g., environmental con- trol, health and safety, etc.) reduce costs. Opportunities to cut the cost of taxes and tariffs also encourage foreign operations. In Mexico, the creation of maquiladoras (free trade zones) allows manufacturers to cut their costs of taxation by paying only on the value added by Mexican workers. If a U.S. manufacturer, such as GM, brings a $500 engine to a maquiladora operation for assembly work costing $25, tariff duties will be charged only on the $25 of work performed in Mexico.

Shifting low-skilled jobs to another country has several potential advantages. First, and most obviously, the firm may reduce costs. Second, moving the lower skilled jobs to a lower cost loca- tion frees higher cost workers for more valuable tasks. Third, reducing wage costs allows the savings to be invested in improved products and facilities (and the retraining of existing workers, if necessary) at the home location. The impact of this approach is shown in the OM in Action box “Going Global to Compete” on the next page.

Trade agreements have also helped reduce tariffs and thereby reduce the cost of operating facilities in foreign countries. The World Trade Organization (WTO) has helped reduce tariffs from 40% in 1940 to less than 3% today. Another important trade agreement is the North American Free Trade Agreement (NAFTA). NAFTA seeks to phase out all trade and tariff bar- riers among Canada, Mexico, and the U.S. Other trade agreements that are accelerating global trade include APEC (the Pacific Rim countries), SEATO (Australia, New Zealand, Japan, Hong Kong, South Korea, New Guinea, and Chile), MERCOSUR (Argentina, Brazil, Paraguay, and Uruguay), and CAFTA (Central America, Dominican Republic, and United States).

Another trading group is the European Union (EU).1 The European Union has reduced trade barriers among the participating European nations through standardization and a common

Fred Flintstone is not from Bedrock. He is actually from Manila, capital of the Philippines. So are Tom and Jerry, Aladdin, and Donald Duck. More than 90% of American television cartoons are produced in Asia and India, with the Philippines leading the way. With their natural advantage of English as an official language and a strong familiarity with U.S. culture, animation companies in Manila now employ more than 1,700 people. Filipinos understand Western culture, and “you need to have a group of artists that can understand the humor that goes with it,” says Bill Dennis, a Hanna-Barbera executive.

Major studios like Disney, Marvel, Warner Brothers, and Hanna-Barbera send storyboards—cartoon action outlines—and voice tracks to the Philippines. Artists there

draw, paint, and film about 20,000 sketches for a 30- minute episode. The cost of $130,000 to produce an episode in the Philippines compares with $160,000 in Korea and $500,000 in the United States.

Sources: Journal of Global Information Technology Management (2007): 1–6; The New York Times (February 26, 2004): A29; and The Wall Street Journal (August 9, 2005): D8.

OM in Action � U.S. Cartoon Production at Home in Manila

World Trade Organization (WTO) An international organization that promotes world trade by lowering barriers to the free flow of goods across borders.

North American Free Trade Agreement (NAFTA) A free trade agreement between Canada, Mexico, and the United States.

European Union (EU) A European trade group that has 27 member states.

currency, the euro. However, this major U.S. trading partner, with almost 500 million people, is also placing some of the world’s most restrictive conditions on products sold in the EU. Everything from recycling standards to automobile bumpers to hormone-free farm products must meet EU standards, complicating international trade.

Improve the Supply Chain The supply chain can often be improved by locating facilities in countries where unique resources are available. These resources may be expertise, labor, or raw material. For example, auto-styling studios from throughout the world are migrating to the auto mecca of southern California to ensure the necessary expertise in contemporary auto design. Similarly, world athletic shoe production has migrated from South Korea to Guangzhou, China: this location takes advantage of the low-cost labor and production competence in a city where 40,000 people work making athletic shoes for the world. And a perfume essence manufacturer wants a presence in Grasse, France, where much of the world’s perfume essences are prepared from the flowers of the Mediterranean.

Provide Better Goods and Services Although the characteristics of goods and services can be objective and measurable (e.g., number of on-time deliveries), they can also be subjective and less measurable (e.g., sensitivity to culture). We need an ever better understanding of differ- ences in culture and of the way business is handled in different countries. Improved understand- ing as the result of a local presence permits firms to customize products and services to meet unique cultural needs in foreign markets.

Another reason to have international operations is to reduce response time to meet customers’ changing product and service requirements. Customers who purchase goods and services from U.S. firms are increasingly located in foreign countries. Providing them with quick and adequate service is often improved by locating facilities in their home countries.

Understand Markets Because international operations require interaction with foreign cus- tomers, suppliers, and other competitive businesses, international firms inevitably learn about opportunities for new products and services. Europe led the way with cell phone innovations, and now the Japanese lead with the latest cell phone fads. Knowledge of these markets not only helps firms understand where the market is going but also helps firms diversify their customer base, add production flexibility, and smooth the business cycle.

Another reason to go into foreign markets is the opportunity to expand the life cycle (i.e., stages a product goes through; see Chapter 5) of an existing product. While some products in the U.S. are in a “mature” stage of their product life cycle, they may represent state-of-the-art prod- ucts in less developed countries. For example, the U.S. market for personal computers could be characterized as “mature” but as in the “introductory” stage in many developing countries, such as Albania, Vietnam, and Myanmar (Burma).

28 PART 1 Introduction to Operations Management

Wachovia Corp, the giant subsidiary of Wells Fargo, has inked a $1.1 billion deal with India’s Genpact to outsource finance and accounting jobs. Wachovia has also handed over administration of its human resources programs to Illinois-based Hewitt Associates. This is “what we need to do to become a great customer-relationship company,” says Wachovia executive P. J. Sidebottom. The expected cost savings of $600 million to $1 billion over the next three years will be invested in the U.S. to boost the core banking business. These investments will be made in new ATMs, branches, and personnel.

Similarly, Dana Corp. of Toledo, Ohio, is also taking a global approach. Dana established a joint venture with Cardanes S.A. to produce truck transmissions in Queretaro, Mexico. Then Dana switched 288 U.S.

employees in its Jonesboro, Arkansas, plant from producing truck transmissions at breakeven to axle production at a profit. Productivity is up in Jonesboro, and the Mexican joint venture is making money. Employees in both Jonesboro and Queretaro, as well as stockholders, came out ahead on the move. Dana is also moving operations to China, India, Eastern Europe, and South America.

Resourceful organizations like Wachovia and Dana use a global perspective to become more efficient, which allows them to develop new products, retrain employees, and invest in new plant and equipment.

Sources: Business Week (January 30, 2006): 50–64; Forbes (May 8, 2006): 58; and www.dana.com/news/.

OM in Action � Going Global to Compete

Chapter 2 Operations Strategy in a Global Environment 29

Learn to Improve Operations Learning does not take place in isolation. Firms serve them- selves and their customers well when they remain open to the free flow of ideas. For example, GM found that it could improve operations by jointly building and running, with the Japanese, an auto assembly plant in San Jose, California. This strategy allowed GM to contribute its capital and knowledge of U.S. labor and environmental laws while the Japanese contributed production and inventory ideas. Similarly, operations managers have improved equipment and layout by learning from the ergonomic competence of the Scandinavians.

Attract and Retain Global Talent Global organizations can attract and retain better employees by offering more employment opportunities. They need people in all functional areas and areas of expertise worldwide. Global firms can recruit and retain good employees because they provide both greater growth opportunities and insulation against unemployment during times of economic downturn. During economic downturns in one country or continent, a global firm has the means to relocate unneeded personnel to more prosperous locations.

So, to recap, successfully achieving a competitive advantage in our shrinking world means maximizing all of the possible opportunities, from tangible to intangible, that international oper- ations can offer.

Cultural and Ethical Issues While there are great forces driving firms toward globalization, many challenges remain. One of these challenges is reconciling differences in social and cultural behavior. With issues ranging from bribery, to child labor, to the environment, managers sometimes do not know how to respond when operating in a different culture. What one country’s culture deems acceptable may be considered unacceptable or illegal in another. It is not by chance that there are fewer female managers in the Middle East than in India.

In the last decade, changes in international laws, agreements, and codes of conduct have been applied to define ethical behavior among managers around the world. The WTO, for example, helps to make uniform the protection of both governments and industries from foreign firms that engage in unethical conduct. Even on issues where significant differences between cultures exist, as in the area of bribery or the protection of intellectual property, global uniformity is slowly being accepted by most nations.

In spite of cultural and ethical differences, we live in a period of extraordinary mobility of capital, information, goods, and even people. We can expect this to continue. The financial sec- tor, the telecommunications sector, and the logistics infrastructure of the world are healthy insti- tutions that foster efficient and effective use of capital, information, and goods. Globalization, with all its opportunities and risks, is here and will continue. It must be embraced as managers develop their missions and strategies.

A worldwide strategy places added burdens on operations management. Because of economic and lifestyle differences, designers must target products to each market. For instance, clothes washers sold in northern countries must spin-dry clothes much better than those in warmer climates, where consumers are likely to line-dry them. Similarly, as shown here, Whirlpool refrigerators sold in Bangkok are manufactured in bright colors because they are often put in living rooms.

AUTHOR COMMENT As the owner of a Guatemala plant said, “The ethics of the world markets is very clear:

Manufacturers will move wherever it is cheapest or most convenient to

their interests.”

30 PART 1 Introduction to Operations Management

DEVELOPING MISSIONS AND STRATEGIES An effective operations management effort must have a mission so it knows where it is going and a strategy so it knows how to get there. This is the case for a small domestic organization, as well as a large international organization.

Mission Economic success, indeed survival, is the result of identifying missions to satisfy a customer’s needs and wants. We define the organization’s mission as its purpose—what it will contribute to society. Mission statements provide boundaries and focus for organizations and the concept around which the firm can rally. The mission states the rationale for the organization’s existence. Developing a good strategy is difficult, but it is much easier if the mission has been well defined. Figure 2.2 provides examples of mission statements.

Once an organization’s mission has been decided, each functional area within the firm determines its supporting mission. By functional area we mean the major disciplines required by the firm, such as marketing, finance/accounting, and production/operations. Missions for each function are devel- oped to support the firm’s overall mission. Then within that function lower-level supporting missions are established for the OM functions. Figure 2.3 provides such a hierarchy of sample missions.

Strategy With the mission established, strategy and its implementation can begin. Strategy is an organi- zation’s action plan to achieve the mission. Each functional area has a strategy for achieving its mission and for helping the organization reach the overall mission. These strategies exploit opportunities and strengths, neutralize threats, and avoid weaknesses. In the following sections, we will describe how strategies are developed and implemented.

Firms achieve missions in three conceptual ways: (1) differentiation, (2) cost leadership, and (3) response. This means operations managers are called on to deliver goods and services that are (1) better, or at least different, (2) cheaper, and (3) more responsive. Operations managers trans- late these strategic concepts into tangible tasks to be accomplished. Any one or combination of these three strategic concepts can generate a system that has a unique advantage over competi- tors. For example, Hunter Fan has differentiated itself as a premier maker of quality ceiling fans that lower heating and cooling costs for its customers. Nucor Steel, on the other hand, satisfies customers by being the lowest-cost steel producer in the world. And Dell achieves rapid response by building personal computers with each customer’s requested software in a matter of hours.

Clearly, strategies differ. And each strategy puts different demands on operations manage- ment. Hunter Fan’s strategy is one of differentiating itself via quality from others in the industry. Nucor focuses on value at low cost, and Dell’s dominant strategy is quick, reliable response.

LO1: Define mission and strategy

Mission The purpose or rationale for an organization’s existence.

Merck

The mission of Merck is to provide society with superior products and services—innova- tions and solutions that improve the quality of life and satisfy customer needs—to provide employees with meaningful work and advancement opportunities and investors with a superior rate of return.

Hard Rock Cafe

Our Mission: To spread the spirit of Rock ’n’ Roll by delivering an exceptional entertainment and dining experience. We are committed to being an important, contributing member of our community and offering the Hard Rock family a fun, healthy, and nurturing work environment while ensuring our long-term success.

Arnold Palmer Hospital

Arnold Palmer Hospital for Children provides state of the art, family-centered healthcare focused on restoring the joy of childhood in an environment of compassion, healing and hope.

� FIGURE 2.2 Mission Statements for Three Organizations

Sources: Annual reports: courtesy of Merck, Hard Rock Cafe: Employee Handbook, Arnold Palmer Childrens’ Care Team.

VIDEO 2.1 Operations Strategy at

Regal Marine

Strategy How an organization expects to achieve its missions and goals.

AUTHOR COMMENT Getting an education and managing an organization

both require a mission and strategy.

LO2: Identify and explain three strategic approaches to competitive advantage

Chapter 2 Operations Strategy in a Global Environment 31

� FIGURE 2.3 Sample Missions for a Company, the Operations Function, and Major OM Departments

Sample Company Mission

Sample OM Department Missions

To manufacture and service an innovative, growing, and profitable worldwide microwave communications business that exceeds our customers’ expectations.

Sample Operations Management Mission

To produce products consistent with the company’s mission as the worldwide low-cost manufacturer.

Process design To determine, design, and produce the production process and equipment that will be compatible with low-cost product, high quality, and a good quality of work life at economical cost.

Location To locate, design, and build efficient and economical facilities that will yield high value to the company, its employees, and the community.

Layout design To achieve, through skill, imagination, and resourcefulness in layout and work methods, production effectiveness and efficiency while supporting a high quality of work life.

Human resources To provide a good quality of work life, with well-designed, safe, rewarding jobs, stable employment, and equitable pay, in exchange for outstanding individual contribution from employees at all levels.

Supply-chain management To collaborate with suppliers to develop innovative products from stable, effective, and efficient sources of supply.

Inventory To achieve low investment in inventory consistent with high customer service levels and high facility utilization.

Scheduling To achieve high levels of throughput and timely customer delivery through effective scheduling.

Maintenance To achieve high utilization of facilities and equipment by effective preventive maintenance and prompt repair of facilities and equipment.

Product design To design and produce products and services with outstanding

Quality management To attain the exceptional value that is consistent with our company mission and marketing objectives by close attention to design, procurement, production, and field service opportunities.

quality and inherent customer value.

ACHIEVING COMPETITIVE ADVANTAGE THROUGH OPERATIONS Each of the three strategies provides an opportunity for operations managers to achieve compet- itive advantage. Competitive advantage implies the creation of a system that has a unique advantage over competitors. The idea is to create customer value in an efficient and sustainable way. Pure forms of these strategies may exist, but operations managers will more likely be called on to implement some combination of them. Let us briefly look at how managers achieve com- petitive advantage via differentiation, low cost, and response.

Competing on Differentiation Safeskin Corporation is number one in latex exam gloves because it has differentiated itself and its products. It did so by producing gloves that were designed to prevent allergic reactions about which doctors were complaining. When other glove makers caught up, Safeskin developed

Competitive advantage The creation of a unique advantage over competitors.

AUTHOR COMMENT For many organizations, the operations function provides the competitive advantage.

32 PART 1 Introduction to Operations Management

Differentiation Distinguishing the offerings of an organization in a way that the customer perceives as adding value.

hypoallergenic gloves. Then it added texture to its gloves. Then it developed a synthetic dispos- able glove for those allergic to latex—always staying ahead of the competition. Safeskin’s strat- egy is to develop a reputation for designing and producing reliable state-of-the-art gloves, thereby differentiating itself.

Differentiation is concerned with providing uniqueness. A firm’s opportunities for creating uniqueness are not located within a particular function or activity but can arise in virtually every- thing the firm does. Moreover, because most products include some service, and most services include some product, the opportunities for creating this uniqueness are limited only by imagina- tion. Indeed, differentiation should be thought of as going beyond both physical characteristics and service attributes to encompass everything about the product or service that influences the value that the customers derive from it. Therefore, effective operations managers assist in defining everything about a product or service that will influence the potential value to the customer. This may be the convenience of a broad product line, product features, or a service related to the prod- uct. Such services can manifest themselves through convenience (location of distribution centers, stores, or branches), training, product delivery and installation, or repair and maintenance services.

In the service sector, one option for extending product differentiation is through an experience. Differentiation by experience in services is a manifestation of the growing “experience economy.” The idea of experience differentiation is to engage the customer—to use people’s five senses so they become immersed, or even an active participant, in the product. Disney does this with the Magic Kingdom. People no longer just go on a ride; they are immersed in the Magic Kingdom— surrounded by a dynamic visual and sound experience that complements the physical ride. Some rides further engage the customer by having them steer the ride or shoot targets or villains.

Theme restaurants, such as Hard Rock Cafe, likewise differentiate themselves by providing an “experience.” Hard Rock engages the customer with classic rock music, big-screen rock videos, memorabilia, and staff who can tell stories. In many instances, a full-time guide is avail- able to explain the displays, and there is always a convenient retail store so the guest can take home a tangible part of the experience. The result is a “dining experience” rather than just a meal. In a less dramatic way, both Starbucks and your local supermarket deliver an experience when they provide music and the aroma of fresh coffee or freshly baked bread.

Competing on Cost Southwest Airlines has been a consistent moneymaker while other U.S. airlines have lost bil- lions. Southwest has done this by fulfilling a need for low-cost and short-hop flights. Its opera- tions strategy has included use of secondary airports and terminals, first-come, first-served seating, few fare options, smaller crews flying more hours, snacks-only or no-meal flights, and no downtown ticket offices.

Additionally, and less obviously, Southwest has very effectively matched capacity to demand and effectively utilized this capacity. It has done this by designing a route structure that matches the capacity of its Boeing 737, the only plane in its fleet. Second, it achieves more air miles than other airlines through faster turnarounds—its planes are on the ground less.

One driver of a low-cost strategy is a facility that is effectively utilized. Southwest and others with low-cost strategies understand this and utilize resources effectively. Identifying the optimum size (and investment) allows firms to spread overhead costs, providing a cost advantage. For instance, Wal-Mart continues to pursue its low-cost strategy with superstores, open 24 hours a day. For 20 years, it has successfully grabbed market share. Wal-Mart has driven down store overhead costs, shrinkage, and distribution costs. Its rapid transportation of goods, reduced warehousing costs, and direct shipment from manufacturers have resulted in high inventory turnover and made it a low-cost leader. Franz Colruyt, as discussed in the OM in Action box, is also winning with a low-cost strategy.

Low-cost leadership entails achieving maximum value as defined by your customer. It requires examining each of the 10 OM decisions in a relentless effort to drive down costs while meeting cus- tomer expectations of value. A low-cost strategy does not imply low value or low quality.

Competing on Response The third strategy option is response. Response is often thought of as flexible response, but it also refers to reliable and quick response. Indeed, we define response as including the entire range of values related to timely product development and delivery, as well as reliable scheduling and flexible performance.

Experience differentiation Engaging a customer with a product through imaginative use of the five senses, so the customer “experiences” the product.

VIDEO 2.2 Hard Rock’s Global Strategy

Low-cost leadership Achieving maximum value as perceived by the customer.

Response A set of values related to rapid, flexible, and reliable performance.

Chapter 2 Operations Strategy in a Global Environment 33

Belgian discount food retailer Franz Colruyt NV is so obsessed with cutting costs that there are no shopping bags at its checkout counters, the lighting at its stores is dimmed to save money on electricity, and employees clock out when they go on 5-minute coffee breaks. And to keep costs down at the company’s spartan headquarters on the outskirts of Brussels, employees don’t have voice mail on their phones. Instead, two receptionists take messages for nearly 1,000 staffers. The messages are bellowed out every few minutes from loudspeakers peppered throughout the building.

This same approach is evident at all 160 of Colruyt’s shopping outlets, which are converted factory warehouses, movie theaters, or garages, with black concrete floors, exposed electrical wires, metal shelves, and discarded boxes strewn about. There is no background music (estimated annual cost saving: € 2 million, or $2.5 million), nor are there bags for packing groceries (estimated annual cost saving: € 5 million). And all the store’s freezers have doors, so the company can save about € 3 million a year on electricity for refrigeration.

The company also employs a team of 30 “work simplifiers”—in Colruyt jargon—whose job is to come up with new ways to improve productivity. One recently discovered that 5 seconds could be shaved from every minute it takes customers to check out if they paid at a separate station from where groceries are scanned, so that when one customer steps away from the scanner, another can step up right away.

Chief Executive Rene De Wit says Colruyt’s strategy is simple: cut costs at every turn and undersell your competitors. In an industry where margins of 1% to 2% are typical, Colruyt’s cost cutting is so effective that a profit margin of 6.5% dwarfs those of rivals.

A low-cost strategy places significant demands on operations management, but Franz Colruyt, like Wal-Mart, makes it work.

Sources: The Wall Street Journal (January 5, 2005): 1 and (September 22, 2003): R3, R7.

OM in Action � Low-Cost Strategy Wins at Franz Colruyt

Flexible response may be thought of as the ability to match changes in a marketplace where design innovations and volumes fluctuate substantially.

Hewlett-Packard is an exceptional example of a firm that has demonstrated flexibility in both design and volume changes in the volatile world of personal computers. HP’s products often have a life cycle of months, and volume and cost changes during that brief life cycle are dra- matic. However, HP has been successful at institutionalizing the ability to change products and volume to respond to dramatic changes in product design and costs—thus building a sustainable competitive advantage.

The second aspect of response is the reliability of scheduling. One way the German machine industry has maintained its competitiveness despite having the world’s highest labor costs is through reliable response. This response manifests itself in reliable scheduling. German machine firms have meaningful schedules—and they perform to these schedules. Moreover, the results of

Response strategy wins orders at Super Fast Pizza. Using a wireless connection, orders are transmitted to $20,000 kitchens in vans. The driver, who works solo, receives a printed order, goes to the kitchen area, pulls premade pizzas from the cooler, and places them in the oven— it takes about 1 minute. The driver then delivers the pizza—sometimes even arriving before the pizza is ready.

34 PART 1 Introduction to Operations Management

these schedules are communicated to the customer and the customer can, in turn, rely on them. Consequently, the competitive advantage generated through reliable response has value to the end customer.

The third aspect of response is quickness. Johnson Electric, discussed in the OM in Action box, competes on speed—speed in design, production, and delivery. Whether it is a production system at Johnson Electric, a pizza delivered in 5 minutes by Pizza Hut, or customized phone products delivered in three days from Motorola, the operations manager who develops systems that respond quickly can have a competitive advantage.

In practice, differentiation, low cost, and response can increase productivity and generate a sustainable competitive advantage (see Figure 2.4). Proper implementation of the following deci- sions by operations managers will allow these advantages to be achieved.

Patrick Wang, managing director of Johnson Electric Holdings, Ltd., walks through his Hong Kong headquarters with a micromotor in his hand. This tiny motor, about twice the size of his thumb, powers a Dodge Viper power door lock. Although most people have never heard of Johnson Electric, we all have several of its micromotors nearby. This is because Johnson is the world’s leading producer of micromotors for cordless tools, household appliances (such as coffee grinders and food processors), personal care items (such as hair dryers and electric shavers), and cars. A luxury Mercedes, with its headlight wipers, power windows, power seat adjustments, and power side mirrors, may use 50 Johnson micromotors.

Like all truly global businesses, Johnson spends liberally on communications to tie together its global network of factories, R&D facilities, and design centers. For example, Johnson Electric installed a $20 million videoconferencing system that allows engineers in

Cleveland, Ohio, and Stuttgart, Germany, to monitor trial production of their micromotors in China.

Johnson’s first strength is speed in product development, speed in production, and speed in delivering—13 million motors a month, mostly assembled in China but delivered throughout the world. Its second strength is the ability to stay close to its customers. Johnson has design and technical centers scattered across the United States, Europe, and Japan. “The physical limitations of the past are gone” when it comes to deciding where to locate a new center, says Patrick Wang. “Customers talk to us where they feel most comfortable, but products are made where they are most competitive.”

Sources: Hoover’s Company Records (January 1, 2006): 58682; Far Eastern Economic Review (May 16, 2002): 44–45; and Just Auto (November 2008): 18–19.

OM in Action � Response Strategy at Hong Kong’s Johnson Electric

10 Operations Decisions Approach Example

Competitive Advantage

Product

Quality

Process

Location

Layout

Human resource

Supply chain

Inventory

Scheduling

Maintenance

Innovative design . . . . . . . . . . . . . . . . . . . . . . . Safeskin’s innovative gloves Broad product line . . . . . . . . . . . . . . . . . . . . .Fidelity Security’s mutual funds After-sales service . . . . . . . . . . . . . . . . Caterpillar’s heavy equipment service Experience . . . . . . . . . . . . . . . . . . . . . . . . . Hard Rock Cafe’s dining experience

COST LEADERSHIP: Low overhead . . . . . . . . . . . . . . . . . . . . . Franz-Colruyt’s warehouse-type stores

Effective capacity use . . . . . . . . . . . . Southwest Airlines’s high aircraft utilization Inventory management . . . . . . . . . . Wal-Mart’s sophisticated distribution system

RESPONSE: Flexibility . . . . . . . . . . . . . Hewlett-Packard’s response to volatile world market

Reliability . . . . . . . . . . . . . . . . . . . . . . . FedEx’s “absolutely, positively on time” Quickness . . . . . . . . . . . . . Pizza Hut’s five-minute guarantee at lunchtime

DIFFERENTIATION:

Differentiation (better)

Cost leadership (cheaper)

Response (faster)

� FIGURE 2.4 Achieving Competitive Advantage Through Operations

AUTHOR COMMENT These 10 decisions are used

to implement a specific strategy and yield a

competitive advantage.

Chapter 2 Operations Strategy in a Global Environment 35

TEN STRATEGIC OM DECISIONS Differentiation, low cost, and response can be achieved when managers make effective decisions in 10 areas of OM. These are collectively known as operations decisions. The 10 decisions of OM that support missions and implement strategies are:

1. Goods and service design: Designing goods and services defines much of the transfor- mation process. Costs, quality, and human resource decisions are often determined by design decisions. Designs usually determine the lower limits of cost and the upper limits of quality.

2. Quality: The customer’s quality expectations must be determined and policies and proce- dures established to identify and achieve that quality.

3. Process and capacity design: Process options are available for products and services. Process decisions commit management to specific technology, quality, human resource use, and maintenance. These expenses and capital commitments determine much of the firm’s basic cost structure.

4. Location selection: Facility location decisions for both manufacturing and service organi- zations may determine the firm’s ultimate success. Errors made at this juncture may over- whelm other efficiencies.

5. Layout design: Material flows, capacity needs, personnel levels, technology decisions, and inventory requirements influence layout.

6. Human resources and job design: People are an integral and expensive part of the total sys- tem design. Therefore, the quality of work life provided, the talent and skills required, and their costs must be determined.

7. Supply-chain management: These decisions determine what is to be made and what is to be purchased. Consideration is also given to quality, delivery, and innovation, all at a satisfactory price. Mutual trust between buyer and supplier is necessary for effective purchasing.

8. Inventory: Inventory decisions can be optimized only when customer satisfaction, suppli- ers, production schedules, and human resource planning are considered.

9. Scheduling: Feasible and efficient schedules of production must be developed; the demands on human resources and facilities must be determined and controlled.

10. Maintenance: Decisions must be made regarding desired levels of reliability and stability, and systems must be established to maintain that reliability and stability.

Operations managers implement these 10 decisions by identifying key tasks and the staffing needed to achieve them. However, the implementation of decisions is influenced by a variety of issues, including a product’s proportion of goods and services (see Table 2.1 on page 37). Few products are either all goods or all services. Although the 10 decisions remain the same for both goods and services, their relative importance and method of implementation depend on this ratio of goods and services. Throughout this text, we discuss how strategy is selected and imple- mented for both goods and services through these 10 operations management decisions.

Let’s look at an example of strategy development through one of the 10 decisions.

Pierre Alexander has just completed culinary school and is ready to open his own restaurant. After examining both the external environment and his prospective strengths and weaknesses, he makes a decision on the mission for his restaurant, which he defines as “To provide outstanding French fine dining for the people of Chicago.”

APPROACH � Alexander’s supporting operations strategy is to ignore the options of cost leader- ship and quick response and focus on differentiation. Consequently, his operations strategy requires him to evaluate product designs (menus and meals) and selection of process, layout, and location. He must also evaluate the human resources, suppliers, inventory, scheduling, and maintenance that will support his mission and a differentiation strategy.

SOLUTION � Examining just one of these 10 decisions, process design, requires that Alexander consider the issues presented in the following figure.

(Continued)

� EXAMPLE 1 Strategy development

Operations decisions The strategic decisions of OM are goods and service design, quality, process design, location selection, layout design, human resources and job design, supply-chain management, inventory, scheduling, and maintenance.

LO3: Identify and define the 10 decisions of operations management

AUTHOR COMMENT This text is structured

around these 10 decisions.

36 PART 1 Introduction to Operations Management

The 10 decisions of operations management are implemented in ways that provide competi- tive advantage, not just for fine-dining restaurants, but for all the goods and services that enrich our lives. How this might be done for two drug companies, one seeking a competitive advantage via differentiation, and the other via low cost, is shown in Table 2.2.

ISSUES IN OPERATIONS STRATEGY Whether the OM strategy is differentiation, cost, or response (as shown earlier in Figure 2.4), OM is a critical player. Therefore, prior to establishing and attempting to implement a strategy, some alter- nate perspectives may be helpful. One perspective is to take a resources view. This means think- ing in terms of the financial, physical, human, and technological resources available and ensuring

The first option is to operate in the lower right corner of the preceding figure, where he could produce high volumes of food with a limited variety, much as in an institutional kitchen. Such a process could produce large volumes of standard items such as baked goods and mashed potatoes prepared with state- of-the-art automated equipment. Alexander concludes that this is not an acceptable process option.

Alternatively, he can move to the middle of the figure, where he could produce more variety and lower volumes. Here he would have less automation and use prepared modular components for meals, much as a fast-food restaurant does. Again, he deems such process designs inappropriate for his mission.

Another option is to move to the upper right corner and produce a high volume of customized meals, but neither Alexander nor anyone else knows how to do this with gourmet meals.

Finally, Alexander can design a process that operates in the upper left corner of the figure, which requires little automation but lends itself to high variety. This process option suggests that he build an extremely flexible kitchen suitable for a wide variety of custom meals catering to the whims of each customer. With little automation, such a process would be suitable for a huge variety. This process strategy will support his mission and desired product differentiation. Only with a process such as this can he provide the fine French-style gourmet dining that he has in mind.

INSIGHT � By considering the options inherent in each of the 10 OM decisions, managers— Alexander, in this case—can make decisions that support the mission.

LEARNING EXERCISE � If Alexander’s mission were to offer less expensive meals and reduce the variety offered but still do so with a French flair, what might his process strategy be? [Answer: Alexander might try a repetitive (modular) strategy and mimic the La Madeleine cafeteria- style restaurants.]

V a ri

e ty

o f

p ro

d u

c ts

Moderate

Moderate

Volume

Low

Low

High

High

(Print shop, emergency room, machine shop,

fine-dining restaurant)

JOB SHOPS

Process focused

(Cars, appliances, TVs, fast-food restaurants)

ASSEMBLY LINE

Repetitive (modular) focus

(Steel, beer, paper, bread, institutional kitchen)

CONTINUOUS

Product focused

Customization at High Volume

(Dell Computer’s PC, cafeteria)

Mass Customization

Resources view A method managers use to evaluate the resources at their disposal and manage or alter them to achieve competitive advantage.

AUTHOR COMMENT An effective strategy finds

the optimum fit for the firm’s resources in the dynamic

environment.

� TABLE 2.1 The Differences between Goods and Services Influence How the 10 Operations Management Decisions Are Applied

Operations Decisions Goods Services

Goods and service design Product is usually tangible (a computer). Product is not tangible. A new range of product attributes (a smile).

Quality Many objective quality standards (battery life). Many subjective quality standards (nice color).

Process and capacity design

Customer is not involved in most of the process (auto assembly).

Customer may be directly involved in the process (a haircut).

Capacity must match demand to avoid lost sales (customers often avoid waiting).

Location selection May need to be near raw materials or labor force (steel plant near ore).

May need to be near customer (car rental).

Layout design Layout can enhance production efficiency (assembly line).

Can enhance product as well as production (layout of a classroom or a fine-dining restaurant).

Human resources and job design

Workforce focused on technical skills (stone mason). Labor standards can be consistent (assembly line employee). Output-based wage system possible (garment sewing).

Direct workforce usually needs to be able to interact well with customer (bank teller); labor standards vary depending on customer requirements (legal cases).

Supply-chain management

Supply chain relationships critical to final product.

Supply chain relationships important but may not be critical

Inventory Raw materials, work-in-process, and finished goods may be inventoried (beer).

Most services cannot be stored; so other ways must be found to accommodate fluctuations in demand (can’t store haircuts, but even the barber shop has an inventory of supplies).

Scheduling Ability to inventory may allow leveling of production rates (lawn mowers).

Often concerned with meeting the customer’s immediate schedule with human resources.

Maintenance Maintenance is often preventive and takes place at the production site.

Maintenance is often “repair” and takes place at the customer’s site.

� TABLE 2.2 Operations Strategies of Two Drug Companies

Brand Name Drugs, Inc. Generic Drug Corp.

Competitive Advantage Product Differentiation Low Cost

Product Selection and Design

Heavy R&D investment; extensive labs; focus on development in a broad range of drug categories

Low R&D investment; focus on development of generic drugs

Quality Quality is major priority, standards exceed regulatory requirements

Meets regulatory requirements on a country-by- country basis, as necessary

Process Product and modular production process; tries to have long product runs in specialized facilities; builds capacity ahead of demand

Process focused; general production processes; “job shop” approach, short-run production; focus on high utilization

Location Still located in city where it was founded Recently moved to low-tax, low-labor-cost environment

Layout Layout supports automated product-focused production

Layout supports process-focused “job shop” practices

Human Resources Hire the best; nationwide searches Very experienced top executives provide direction; other personnel paid below industry average

Supply Chain Long-term supplier relationships Tends to purchase competitively to find bargains

Inventory Maintains high finished goods inventory primarily to ensure all demands are met

Process focus drives up work-in-process inventory; finished goods inventory tends to be low

Scheduling Centralized production planning Many short-run products complicate scheduling

Maintenance Highly trained staff; extensive parts inventory Highly trained staff to meet changing demands

AUTHOR COMMENT The production of both goods and services requires execution of the

10 OM decisions.

AUTHOR COMMENT Notice how the 10 decisions are

altered to build two distinct strategies in the same industry.

that the potential strategy is compatible with those resources. Another perspective is Porter’s value-chain analysis.2 Value-chain analysis is used to identify activities that represent strengths, or potential strengths, and may be opportunities for developing competitive advantage. These are areas where the firm adds its unique value through product research, design, human resources, supply-chain management, process innovation, or quality management. Porter also suggests analysis of competitors via what he calls his five forces model.3 These potential competing forces are immediate rivals, potential entrants, customers, suppliers, and substitute products.

In addition to the competitive environment, the operations manager needs to understand that the firm is operating in a system with many other external factors. These factors range from polit- ical, to legal, to cultural. They influence strategy development and execution and require con- stant scanning of the environment.

The firm itself is also undergoing constant change. Everything from resources, to technology, to product life cycles is in flux. Consider the significant changes required within the firm as its products move from introduction, to growth, to maturity, and to decline (see Figure 2.5). These internal changes, combined with external changes, require strategies that are dynamic.

In this chapter’s Global Company Profile, Boeing provides an example of how strategy must change as technology and the environment change. Boeing can now build planes from carbon

38 PART 1 Introduction to Operations Management

Value-chain analysis A way to identify those elements in the product/service chain that uniquely add value.

Five forces analysis A method of analyzing the five forces in the competitive environment.

2M. E. Porter, Competitive Advantage: Creating and Sustaining Superior Performance. New York: The Free Press, 1985. 3Michael E. Porter, Competitive Strategy: Techniques for Analyzing Industries and Competitors. New York: The Free Press, 1980, 1998.

Product design and development critical

Frequent product and process design changes

Short production runs

High production costs

Limited models

Attention to quality

Practical to change price or quality image

Strengthen niche

Poor time to change image, price, or quality

Competitive costs become critical

Defend market position

Cost control critical

Forecasting critical

Product and process reliability

Competitive product improvements and options

Increase capacity

Shift toward product focus

Enhance distribution

Standardization

Fewer rapid product changes, more minor changes

Optimum capacity

Increasing stability of process

Long production runs

Product improvement and cost cutting

Little product differentiation

Cost minimization

Overcapacity in the industry

Prune line to eliminate items not returning good margin

Reduce capacity

Best period to increase market share

R&D engineering is critical

Introduction Growth DeclineMaturity

O M

S tr

a te

g y / I s s u

e s

C o

m p

a n

y S

tr a te

g y / I s s u

e s

Sales

Drive-thru restaurantsInternet search engines

Analog TVs

CD-ROMs

Avatars

Boeing 787

Twitter

LCD & plasma TVs iPods

Xbox 360

� FIGURE 2.5 Strategy and Issues During a Product’s Life

fiber, using a global supply chain. Like many other OM strategies, Boeing’s strategy has changed with technology and globalization. Microsoft has also had to adapt quickly to a changing envi- ronment. Faster processors, new computer languages, changing customer preferences, increased security issues, the Internet, and Google have all driven changes at Microsoft. These forces have moved Microsoft’s product strategy from operating systems to office products, to Internet ser- vice provider, and now to integrator of computers, cell phones, games, and television.

The more thorough the analysis and understanding of both the external and internal factors, the more likely that a firm can find the optimum use of its resources. Once a firm understands itself and the environment, a SWOT analysis, which we discuss next, is in order.

STRATEGY DEVELOPMENT AND IMPLEMENTATION A SWOT analysis is a formal review of the internal Strengths and Weakness and the external Opportunity and Threats. Beginning with SWOT analyses, organizations position themselves, through their strategy, to have a competitive advantage. A firm may have excellent design skills or great talent at identifying outstanding locations. However, it may recognize limitations of its manufac- turing process or in finding good suppliers. The idea is to maximize opportunities and minimize threats in the environment while maximizing the advantages of the organization’s strengths and mini- mizing the weaknesses. Any preconceived ideas about mission are then reevaluated to ensure they are consistent with the SWOT analysis. Subsequently, a strategy for achieving the mission is developed. This strategy is continually evaluated against the value provided customers and competitive realities. The process is shown in Figure 2.6. From this process, key success factors are identified.

Key Success Factors and Core Competencies Because no firm does everything exceptionally well, a successful strategy requires determining the firm’s critical success factors and core competencies. Key success factors (KSFs) are those activi- ties that are necessary for a firm to achieve its goals. Key success factors can be so significant that a firm must get them right to survive in the industry. A KSF for McDonald’s, for example, is layout. Without a play area, an effective drive-thru, and an efficient kitchen, McDonald’s cannot be suc- cessful. KSFs are often necessary, but not sufficient for competitive advantage. On the other hand, core competencies are the set of unique skills, talents, and capabilities that a firm does at a world- class standard. They allow a firm to set itself apart and develop a competitive advantage. Organizations that prosper identify their core competencies and nurture them. While McDonald’s KSFs may include layout, its core competency may be consistency and quality. Honda Motors’s core competence is gas- powered engines—engines for automobiles, motorcycles, lawn mowers, generators, snow blowers, and more. The idea is to build KSFs and core competencies that provide a competitive advantage and support a successful strategy and mission. A core competence may be a subset of KSFs or a combination of KSFs. The operations manager begins this inquiry by asking:

• “What tasks must be done particularly well for a given strategy to succeed?” • “Which activities will help the OM function provide a competitive advantage?” • “Which elements contain the highest likelihood of failure, and which require additional com-

mitment of managerial, monetary, technological, and human resources?”

Chapter 2 Operations Strategy in a Global Environment 39

Key success factors (KSFs) Activities or factors that are key to achieving competitive advantage.

Core competencies A set of skills, talents, and activities in which a firm is particularly strong.

SWOT analysis A method of determining internal strengths and weaknesses and external opportunities and threats.

Analyze the Environment

Determine the Corporate Mission

State the reason for the firm’s existence and identify the value it wishes to create.

Form a Strategy

Build a competitive advantage, such as low price, design or volume flexibility, quality, quick delivery, dependability, after-sale services, or broad product lines.

Identify the strengths, weaknesses, opportunities, and threats. Understand the environment, customers, industry, and competitors.

� FIGURE 2.6 Strategy Development Process

AUTHOR COMMENT A SWOT analysis provides

an excellent model for evaluating a strategy.

LO4: Understand the significance of key success factors and core competencies

Only by identifying and strengthening key success factors and core competencies can an organi- zation achieve sustainable competitive advantage.

In this text we focus on the 10 OM decisions that typically include the KSFs. Potential KSFs for marketing, finance, and operations are shown in Figure 2.7. The 10 OM decisions we develop in this text provide an excellent initial checklist for determining KSFs and identifying core competencies within the operations function. For instance, the 10 decisions, related KSFs, and core competencies can allow a firm to differentiate its product or service. That differentiation may be via a core compe- tence of innovation and new products, where the KSFs are product design and speed to market, as is the case for 3M and Rubbermaid. Similarly, differentiation may be via quality, where the core com- petence is institutionalizing quality, as at Toyota. Differentiation may also be via maintenance, where the KSFs are product reliability and after-sale service, as is the case at IBM and Canon.

40 PART 1 Introduction to Operations Management

Service Distribution Promotion Price Channels of distribution Product positioning (image, functions)

Leverage Cost of capital Working capital Receivables Payables Financial control Lines of credit

Product Quality

Process Location Layout Human resource Supply chain Inventory Schedule Maintenance

Marketing Finance/Accounting Operations

Decisions Sample Options Chapter

Customized or standardized Define customer expectations and how to achieve them Facility design, capacity Near supplier or near customer Work cells or assembly line Specialized or enriched jobs Single or multiple suppliers When to reorder; how much to keep on hand Stable or fluctuating production rate Repair as required or preventive maintenance

5

6,S6 7,S7

8 9 10

11, S11 12,14,16

13,15 17

Support a Core Competence and Implement Strategy by Identifying and Executing the Key Success Factors in the Functional Areas

� FIGURE 2.7 Implement Strategy by Identifying and Executing Key Success Factors That Support Core Competences

Activity map A graphical link of competitive advantage, KSFs, and supporting activities.

Generators Automobiles 4-Wheel Scooters Water Pumps

Marine Motors Race Cars Motorcycles Snow Blowers

Honda’s core competence is the design and manufacture of gas- powered engines. This competence has allowed Honda to become a leader in the design and manufacture of a wide range of gas-powered products. Tens of millions of these products are produced and shipped around the world.

Whatever the KSFs and core competences, they must be supported by the related activities. One approach to identifying the activities is an activity map, which links competitive advantage, KSFs, and supporting activities. For example, Figure 2.8 shows how Southwest Airlines, whose core competence is operations, built a set of integrated activities to support its low-cost compet- itive advantage. Notice how the KSFs support operations and in turn are supported by other activities. The activities fit together and reinforce each other. And the better they fit and reinforce each other, the more sustainable the competitive advantage. By focusing on enhancing its core

competence and KSFs with a supporting set of activities, Southwest Airlines has become one of the great airline success stories.

Build and Staff the Organization The operations manager’s job is a three-step process. Once a strategy and key success factors have been identified, the second step is to group the necessary activities into an organizational structure. The third step is to staff it with personnel who will get the job done. The manager works with subordinate managers to build plans, budgets, and programs that will successfully implement strategies that achieve missions. Firms tackle this organization of the operations function in a variety of ways. The organization charts shown in Chapter 1 (Figure 1.1) indicate the way some firms have organized to perform the required activities.

Integrate OM with Other Activities The organization of the operations function and its relationship to other parts of the organization vary with the OM mission. Moreover, the operations function is most likely to be successful when the operations strategy is integrated with other functional areas of the firm, such as market- ing, finance, information technology, and human resources. In this way, all of the areas support the company’s objectives. For example, short-term scheduling in the airline industry is domi- nated by volatile customer travel patterns. Day-of-week preference, holidays, seasonality, col- lege schedules, and so on, all play a role in changing flight schedules. Consequently, airline scheduling, although an OM activity, can be a part of marketing. Effective scheduling in the trucking industry is reflected in the amount of time trucks travel loaded. However, scheduling of trucks requires information from delivery and pickup points, drivers, and other parts of the orga- nization. When the OM function results in effective scheduling in the air passenger and commer- cial trucking industries, a competitive advantage can exist.

The operations manager transforms inputs into outputs. The transformations may be in terms of storage, transportation, manufacturing, dissemination of information, and utility of the prod- uct or service. The operations manager’s job is to implement an OM strategy, provide competi- tive advantage, and increase productivity.

Chapter 2 Operations Strategy in a Global Environment 41

Courteous but Limited Passenger

Service

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

Frequent, Reliable Schedules

Standardized Fleet of Boeing 737

Aircraft

High Aircraft Utilization

Lean, Productive Employees

No baggage transfers

No seat assignmentsAutomated

ticketing machines Empowered employees

High employee compensation

Hire for attitude, then train

20-minute gate turnarounds

High level of stock ownership

Maintenance personnel trained on only one type

of aircraft Flexible employees/unions

and standard planes aid scheduling

Excellent supplier relations with

Boeing has aided financing

Pilot training required on only

one type of aircraft

Reduced maintenance inventory required because only one

type of aircraft is used

Saturate a city with flights, lowering

administrative costs (advertising, HR, etc.)

per passenger for that city

High number of flights reduces

employee idle time between flights

Lower gate costs at secondary airports

Competitive Advantage: Low Cost

No meals (peanuts)

� FIGURE 2.8 Activity Mapping of Southwest Airlines’s Low-Cost Competitive Advantage To achieve a low-cost competitive advantage, Southwest has identified a number of key success factors (connected by red arrows) and support activities (shown by blue arrows). As this figure indicates, a low-cost advantage is highly dependent on a very well run operations function.

GLOBAL OPERATIONS STRATEGY OPTIONS As we suggested early in this chapter, many operations strategies now require an international dimension. We tend to call a firm with an international dimension an international business or a multinational corporation. An international business is any firm that engages in international trade or investment. This is a very broad category and is the opposite of a domestic, or local, firm.

A multinational corporation (MNC) is a firm with extensive international business involve- ment. MNCs buy resources, create goods or services, and sell goods or services in a variety of countries. The term multinational corporation applies to most of the world’s large, well-known businesses. Certainly IBM is a good example of an MNC. It imports electronics components to the U.S. from over 50 countries, exports computers to over 130 countries, has facilities in 45 countries, and earns more than half its sales and profits abroad.

Operations managers of international and multinational firms approach global opportunities with one of four operations strategies: international, multidomestic, global, or transnational (see Figure 2.9). The matrix of Figure 2.9 has a vertical axis of cost reduction and a horizontal axis of local responsiveness. Local responsiveness implies quick response and/or the differentia- tion necessary for the local market. The operations manager must know how to position the firm in this matrix. Let us briefly examine each of the four strategies.

International Strategy An international strategy uses exports and licenses to penetrate the global arena. As Figure 2.9 suggests, the international strategy is the least advantageous, with little local responsiveness and little cost advantage. There is little responsiveness because we are exporting or licensing goods from the home country. And the cost advantages may be few because we are using the existing production process at some distance from the new market. However, an international strategy is often the easiest, as exports can require little change in existing operations, and licensing agree- ments often leave much of the risk to the licensee.

42 PART 1 Introduction to Operations Management

International business A firm that engages in cross- border transactions.

Multinational corporation (MNC) A firm that has extensive involvement in international business, owning or controlling facilities in more than one country.

International strategy A strategy in which global markets are penetrated using exports and licenses.

Low

HighLow

High

Local Responsiveness (Quick Response and/or Differentiation)

C o

s t

R e d

u c ti

o n

• Use existing domestic model globally • Franchise, joint ventures, subsidiaries

Examples: Heinz McDonald’s The Body Shop Hard Rock Cafe

Multidomestic strategy

• Import/export or license existing product

Examples: U.S. Steel Harley-Davidson

International strategy

Global strategy

• Standardized product • Economies of scale • Cross-cultural learning

Examples: Texas Instruments Caterpillar Otis Elevator

Transnational strategy

Move material, people, or ideas across national boundaries Economies of scale Cross-cultural learning

Examples: Coca-Cola Nestlé

• •

� FIGURE 2.9 Four International Operations Strategies

Sources: See a similar presentation in M. Hitt, R. D. Ireland, and R. E. Hoskisson, Strategic Management, Competitiveness and Globalization, 7th ed. (Cincinnati: Southwestern College Publishing, 2009).

AUTHOR COMMENT Firms that ignore the global economy will not survive.

LO5: Identify and explain four global operations strategy options

Multidomestic Strategy The multidomestic strategy has decentralized authority with substantial autonomy at each business. Organizationally these are typically subsidiaries, franchises, or joint ventures with substantial inde- pendence. The advantage of this strategy is maximizing a competitive response for the local market; however, the strategy has little or no cost advantage. Many food producers, such as Heinz, use a mul- tidomestic strategy to accommodate local tastes because global integration of the production process is not critical. The concept is one of “we were successful in the home market; let’s export the manage- ment talent and processes, not necessarily the product, to accommodate another market.” McDonald’s is operating primarily as a multidomestic, which gives it the local responsiveness needed to modify its menu country by country. McDonald’s can then serve beer in Germany, wine in France, McHuevo (poached egg hamburger) in Uruguay, and hamburgers without beef in India. With over 2,000 restau- rants in Japan and a presence for more than a generation, the average Japanese family thinks Japan invented McDonald’s. Interestingly, McDonald’s prefers to call itself multilocal.4

Global Strategy A global strategy has a high degree of centralization, with headquarters coordinating the organi- zation to seek out standardization and learning between plants, thus generating economies of scale. This strategy is appropriate when the strategic focus is cost reduction but has little to rec- ommend it when the demand for local responsiveness is high. Caterpillar, the world leader in earth-moving equipment, and Texas Instruments, a world leader in semiconductors, pursue global strategies. Caterpillar and Texas Instruments find this strategy advantageous because the end products are similar throughout the world. Earth-moving equipment is the same in Nigeria as in Iowa, which allows Caterpillar to have individual factories focus on a limited line of products to be shipped worldwide. This results in economies of scale and learning within each facility. A global strategy also allows Texas Instruments to build optimum-size plants with similar processes and to then maximize learning by aggressive communication between plants. The result is an effective cost reduction advantage for Texas Instruments.

Transnational Strategy A transnational strategy exploits the economies of scale and learning, as well as pressure for responsiveness, by recognizing that core competence does not reside in just the “home” country but can exist anywhere in the organization. Transnational describes a condition in which material, people, and ideas cross—or transgress—national boundaries. These firms have the potential to pur- sue all three operations strategies (i.e., differentiation, low cost, and response). Such firms can be

Chapter 2 Operations Strategy in a Global Environment 43

Multidomestic strategy A strategy in which operating decisions are decentralized to each country to enhance local responsiveness.

4James L. Watson, ed., Golden Arches East: McDonald’s in East Asia (Stanford University Press, 1997): 12. Note: McDonald’s also operates with some of the advantages of a global organization. By using very similar product lines throughout the world, McDonald’s obtains some of the standardization advantages of a global strategy. However, it manages to retain the advantages of a multidomestic strategy.

In a continuing fierce worldwide battle, both Komatsu and Caterpillar seek global advantage in the heavy equipment market. As Komatsu (left) moved west to the UK, Caterpillar (right) moved east, with 13 facilities and joint ventures in China. Both firms are building equipment throughout the world as cost and logistics dictate. Their global strategies allow production to move as markets, risk, and exchange rates dictate.

Global strategy A strategy in which operating decisions are centralized and headquarters coordinates the standardization and learning between facilities.

Transnational strategy A strategy that combines the benefits of global-scale efficiencies with the benefits of local responsiveness.

44 PART 1 Introduction to Operations Management

Global operations provide an increase in both the challenges and opportunities for operations managers. Although the task is challenging, operations managers can and do improve pro- ductivity. They can build and manage OM functions that con- tribute in a significant way to competitiveness. Organizations identify their strengths and weaknesses. They then develop effective missions and strategies that account for these strengths and weaknesses and complement the opportunities and threats in the environment. If this procedure is performed well, the organization can have competitive advantage through some combination of product differentiation, low

cost, and response. This competitive advantage is often achieved via a move to international, multidomestic, global, or transnational strategies.

Effective use of resources, whether domestic or international, is the respon- sibility of the professional manager, and professional managers are among the few in our society who can achieve this performance. The challenge is great, and the rewards to the manager and to society substantial.

Key Terms

Maquiladoras (p. 27) World Trade Organization (WTO) (p. 27) North American Free Trade Agreement

(NAFTA) (p. 27) European Union (EU) (p. 27) Mission (p. 30) Strategy (p. 30) Competitive advantage (p. 31) Differentiation (p. 32)

Experience differentiation (p. 32) Low-cost leadership (p. 32) Response (p. 32) Operations decisions (p. 35) Resources view (p. 36) Value-chain analysis (p. 38) Five forces analysis (p. 38) SWOT analysis (p. 39) Key success factors (KSFs) (p. 39)

Core competencies (p. 39) Activity map (p. 40) International business (p. 42) Multinational corporation

(MNC) (p. 42) International strategy (p. 42) Multidomestic strategy (p. 43) Global strategy (p. 43) Transnational strategy (p. 43)

thought of as “world companies” whose country identity is not as important as its interdependent network of worldwide operations. Key activities in a transnational company are neither centralized in the parent company nor decentralized so that each subsidiary can carry out its own tasks on a local basis. Instead, the resources and activities are dispersed, but specialized, so as to be both effi- cient and flexible in an interdependent network. Nestlé is a good example of such a company. Although it is legally Swiss, 95% of its assets are held and 98% of its sales are made outside Switzerland. Fewer than 10% of its workers are Swiss. Similarly, service firms such as Asea Brown Boveri (an engineering firm that is Swedish but headquartered in Switzerland), Reuters (a news agency), Bertelsmann (a publisher), and Citicorp (a banking corporation) can be viewed as transna- tionals. We can expect the national identities of these transnationals to continue to fade.

Solved Problem Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 2.1 The global tire industry continues to consolidate. Michelin buys Goodrich and Uniroyal and builds plants throughout the world. Bridgestone buys Firestone, expands its research budget, and focuses on world markets. Goodyear spends almost 4% of its sales revenue on research. These three aggressive firms have come to dominate the world tire market, with total market share approach- ing 60%. And the German tire maker Continental AG has strength- ened its position as fourth in the world, with a dominant presence in Germany. Against this formidable array, the old-line Italian tire company Pirelli SpA found it difficult to respond effectively. Although Pirelli still had 5% of the market, it was losing millions a year while the competition was getting stronger. Tires are a tough, competitive business that rewards companies having strong market shares and long production runs. Pirelli has some strengths: an out- standing reputation for excellent high-performance tires and an innovative manufacturing function.

Use a SWOT analysis to establish a feasible strategy for Pirelli.

� SOLUTION First, find an opportunity in the world tire market that avoids the threat of the mass-market onslaught by the big three tire makers. Second, utilize the internal marketing strength represented by Pirelli’s strong brand name and history of winning World Rally Championships. Third, maximize the internal innovative capabili- ties of the operations function.

To achieve these goals, Pirelli made a strategic shift out of low-margin standard tires and into higher-margin performance tires. Pirelli established deals with luxury brands Jaguar, BMW, Maserati, Ferrari, Bentley, and Lotus Elise and established itself as a provider of a large share of tires on new Porsches, S-class Mercedes, and Saabs. As a result, more than 70% of the com- pany’s tire production is now high-performance tires. People are willing to pay a premium for Pirellis.

The operations function continued to focus its design efforts on performance tires and developing a system of modular tire man- ufacture that allows much faster switching between models. This modular system, combined with investments in new manufacturing

CHAPTER SUMMARY

Chapter 2 Operations Strategy in a Global Environment 45

Bibliography Beckman, S. L., and D. B. Rosenfield. Operations Strategy:

Competing in the 21st Century. New York: McGraw-Hill, 2008.

Crotts, J. C., D. R. Dickson, and R. C. Ford. “Aligning Organizational Processes with Mission.” Academy of Management Executive 19, no. 3 (August 2005): 54–68.

Flynn, B. B., R. G. Schroeder, and E. J. Flynn. “World Class Manufacturing.” Journal of Operations Management 17, no. 3 (March 1999): 249–269.

Friedman, Thomas. The World Is Flat: A Brief History of the Twenty-first Century. New York: Farrar, Straus, and Giroux, 2005.

Greenwald, Bruce, and Judd Kahn. “All Strategy Is Local.” Harvard Business Review, 83, no. 9 (September 2005): 94–104.

Kaplan, Robert S., and David P. Norton. Strategy Maps. Boston: Harvard Business School Publishing, 2003.

Kathuria, R., M. P. Joshi, and S. Dellande. “International Growth Strategies of Service and Manufacturing Firms.” International

Journal of Operations and Production Management 28, no. 10 (2008): 968.

Porter, Michael, and Nicolaj Siggelkow. “Contextuality within Activity Systems and Sustainability of Competitive Advantage.” Academy of Management Perspectives 22, no. 2 (May 2008): 34–36.

Rudberg, Martin, and B. M. West. “Global Operations Strategy.” Omega 36, no. 1 (February 2008): 91.

Skinner, Wickham. “Manufacturing Strategy: The Story of Its Evolution.” Journal of Operations Management 25, no. 2 (March 2007): 328–334.

Slack, Nigel, and Mike Lewis. Operation Strategy, 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2008.

Wolf, Martin. Why Globalization Works. London: Yale University Press, 2004.

Zakaria, Fareed. The Post American World. New York: W.W. Norton, 2008.

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Motorola’s Global Strategy: Focuses on Motorola’s international strategy.

flexibility, has driven batch sizes down to as small as 150 to 200, making small-lot performance tires economically feasible. Manu- facturing innovations at Pirelli have streamlined the production process, moving it from a 14-step process to a 3-step process. A threat from the big three going after the performance market remains, but Pirelli has bypassed its weakness of having a small

market share. The firm now has 24 plants in 12 countries and a pres- ence in more than 160 countries, with sales exceeding $4.5 billion.

Sources: Just Auto (February 2009): 14–15 and (December 2008): 14–15; Hoover’s Company Records (October 15, 2005): 41369; and www.pirelli. com/web/investors.

This page intentionally left blank

Project Management

Chapter Outline

GLOBAL COMPANY PROFILE: BECHTEL GROUP

The Importance of Project Management 50

Project Planning 50

Project Scheduling 53

Project Controlling 54

Project Management Techniques: PERT and CPM 55

Determining the Project Schedule 60

Variability in Activity Times 65

Cost–Time Trade-Offs and Project Crashing 71

A Critique of PERT and CPM 73

Using Microsoft Project to Manage Projects 74

47

GLOBAL COMPANY PROFILE: BECHTEL GROUP

PROJECT MANAGEMENT PROVIDES A COMPETITIVE ADVANTAGE FOR BECHTEL

N ow in its 112th year, the San Francisco–

based Bechtel Group (www.bechtel.com)

is the world’s premier manager of massive

construction and engineering projects.

Known for billion-dollar projects, Bechtel is famous

for its construction feats on the Hoover Dam, the

Boston Central Artery/Tunnel project, and rebuilding

of Kuwait’s oil and gas infrastructure after the invasion

by Iraq in 1990.

Conditions weren’t what Bechtel expected when it

won a series of billion-dollar contracts from the U.S.

government to help reconstruct Iraq in 2003–2006.

48

Workers wrestle with a 1,500-ton boring machine, measuring 25 feet in diameter, that was used to dig the Eurotunnel between England and France in the early 1990s. With over- runs that boosted the cost of the project to $13 billion, a Bechtel Group VP was brought in to head operations.

Saddam Hussein’s defeat by Allied forces hadn’t caused

much war damage. Instead, what Bechtel found was a

country that had been crumbling for years. None of the

sewage plants in Baghdad worked. Power flicked on and

off. Towns and cities in the anti-Hussein south had been

left to decay as punishment. And to complicate matters

even more, scavengers were stealing everything from

museum artifacts to electric power lines. Bechtel’s job

was to oversee electric power, sewage, transportation,

and airport repairs.

Bechtel’s crews travelled under armed escort and

slept in trailers surrounded by razor wire. But the

company’s efforts have paid off. Iraq’s main seaport,

Umm Qasr, was reopened when Bechtel dredged the

water and repaired the grain elevators. Electrical

generation was back to prewar levels in 10 months.

Bechtel refurbished more than 1,200 schools.

With a global procurement program, Bechtel easily

tapped the company’s network of suppliers and buyers

A massive dredge hired by Bechtel removes silt from Iraq’s port at Umm Qasr. This paved the way for large-scale deliveries of U.S. food and the return of commercial shipping.

49

worldwide to help rebuild Iraq’s infrastructure. Other

interesting recent Bechtel projects include:

• Building 26 massive distribution centers, in just 2 years, for the Internet company Webvan Group ($1 billion).

• Constructing 30 high-security data centers worldwide for Equinix, Inc. ($1.2 billion).

• Building and running a rail line between London and the Channel Tunnel ($4.6 billion).

• Developing an oil pipeline from the Caspian Sea region to Russia ($850 million).

• Expanding the Dubai Airport in the United Arab Emirates ($600 million) and the Miami International Airport ($2 billion).

• Building liquefied natural gas plants in Trinidad, West Indies ($1 billion).

• Building a new subway for Athens, Greece ($2.6 billion).

• Constructing a natural gas pipeline in Thailand ($700 million).

• Building 30 plants for iMotors.com, a company that sells refurbished autos online ($300 million).

• Building a highway to link the north and south of Croatia ($303 million).

When companies or countries seek out firms to

manage massive projects, they go to Bechtel, which, again

and again, through outstanding project management, has

demonstrated its competitive advantage.

Managing massive con- struction projects such as this is the strength of Bechtel. With large penal- ties for late completion and incentives for early comple- tion, a good project man- ager is worth his or her weight in gold.

Reconstructed terminal at Baghdad International Airport

Bechtel was the construction contractor for the Hoover Dam. This dam, on the Colorado River, is the highest in the Western Hemisphere.

BECHTEL GROUP �

50 PART 1 Introduction to Operations Management

Chapter 3 Learning Objectives LO1: Use a Gantt chart for scheduling 53

LO2: Draw AOA and AON networks 57

LO3: Complete forward and backward passes for a project 61

LO4: Determine a critical path 65

LO5: Calculate the variance of activity times 67

LO6: Crash a project 71

THE IMPORTANCE OF PROJECT MANAGEMENT When Bechtel, the subject of the opening Global Company Profile, entered Iraq after the 2003 war, it quickly had to mobilize an international force of manual workers, construction profes- sionals, cooks, medical personnel, and security forces. Its project management team had to access millions of tons of supplies to rebuild ports, roads, schools, and electrical systems. Similarly, when Hard Rock Cafe sponsors Rockfest, hosting 100,000 plus fans at its annual con- cert, the project manager begins planning some 9 months earlier. Using the software package Microsoft Project, described in this chapter, each of the hundreds of details can be monitored and controlled. When a band can’t reach the Rockfest site by bus because of massive traffic jams, Hard Rock’s project manager is ready with a helicopter backup.

Bechtel and Hard Rock are just two examples of firms that face modern phenomena: growing project complexity and collapsing product/service life cycles. This change stems from awareness of the strategic value of time-based competition and a quality mandate for continuous improve- ment. Each new product/service introduction is a unique event—a project. In addition, projects are a common part of our everyday life. We may be planning a wedding or a surprise birthday party, remodeling a house, or preparing a semester-long class project.

Scheduling projects is a difficult challenge for operations managers. The stakes in project management are high. Cost overruns and unnecessary delays occur due to poor scheduling and poor controls.

Projects that take months or years to complete are usually developed outside the normal pro- duction system. Project organizations within the firm may be set up to handle such jobs and are often disbanded when the project is complete. On other occasions, managers find projects just a part of their job. The management of projects involves three phases (see Figure 3.1):

1. Planning: This phase includes goal setting, defining the project, and team organization. 2. Scheduling: This phase relates people, money, and supplies to specific activities and relates

activities to each other. 3. Controlling: Here the firm monitors resources, costs, quality, and budgets. It also revises or

changes plans and shifts resources to meet time and cost demands.

We begin this chapter with a brief overview of these functions. Three popular techniques to allow managers to plan, schedule, and control—Gantt charts, PERT, and CPM—are also described.

PROJECT PLANNING Projects can be defined as a series of related tasks directed toward a major output. In some firms a project organization is developed to make sure existing programs continue to run smoothly on a day-to-day basis while new projects are successfully completed.

For companies with multiple large projects, such as a construction firm, a project organization is an effective way of assigning the people and physical resources needed. It is a temporary orga- nization structure designed to achieve results by using specialists from throughout the firm. NASA and many other organizations use the project approach. You may recall Project Gemini and Project Apollo. These terms were used to describe teams that NASA organized to reach space exploration objectives.

The project organization works best when:

1. Work can be defined with a specific goal and deadline. 2. The job is unique or somewhat unfamiliar to the existing organization. 3. The work contains complex interrelated tasks requiring specialized skills. 4. The project is temporary but critical to the organization. 5. The project cuts across organizational lines.

VIDEO 3.1 Project Management at Hard

Rock’s Rockfest

Project organization An organization formed to ensure that programs (projects) receive the proper management and attention.

AUTHOR COMMENT Wherever your career takes you, one of the most useful

tools you can have, as a manager, is the ability to

manage a project.

Chapter 3 Project Management 51

Planning the Project

Scheduling the Project

Controlling the Project

Set the goals Performance

1.1 1.2 2.0 2.1

2.11

Define the project

Develop work breakdown

structure Identify team/

resources

Sequence activities Assign people

Schedule deliverables Schedule resources

T im

e Cost

1.1 1.2 2.0 2.1

2.11

Monitor resources, costs, quality

June

Adams

Smith

Jones

S M T W T F S

1 2 3 4 5 6

7 8 9 10 11 12 13

Shift resources

Revise and change plans

Adams

Smith

Jones

Before project

Start of project During project

Timeline

� FIGURE 3.1 Project Planning, Scheduling, and Controlling

Project No.1

Project No. 2

Mechanical Engineer

Test Engineer

Production

Project Manager

Technician Electrical Engineer

Computer Engineer

Project Manager

Technician

Quality Mgt.

Human Resources Marketing Finance Design

President

The Project Manager An example of a project organization is shown in Figure 3.2. Project team members are temporar- ily assigned to a project and report to the project manager. The manager heading the project coor- dinates activities with other departments and reports directly to top management. Project managers receive high visibility in a firm and are responsible for making sure that (1) all necessary activities are finished in proper sequence and on time; (2) the project comes in within budget; (3) the project meets its quality goals; and (4) the people assigned to the project receive the motivation, direction,

AUTHOR COMMENT Managers must “make

the plan and then work the plan.” Project planning helps

you do that.

AUTHOR COMMENT Project organizations can be

temporary or permanent. A permanent organization is

usually called a “matrix organization.”

� FIGURE 3.2 A Sample Project Organization

52 PART 1 Introduction to Operations Management

and information needed to do their jobs. This means that project managers should be good coaches and communicators, and be able to organize activities from a variety of disciplines.

Ethical Issues Faced in Project Management Project managers not only have high visi- bility but they also face ethical decisions on a daily basis. How they act establishes the code of conduct for the project. Project managers often deal with (1) offers of gifts from contractors, (2) pressure to alter status reports to mask the reality of delays, (3) false reports for charges of time and expenses, and (4) pressures to compromise quality to meet bonus or penalty schedules.

Using the Project Management Institute’s (www.pmi.org) ethical codes is one means of try- ing to establish standards. Research has shown that without good leadership and a strong organi- zational culture, most people follow their own set of ethical standards and values.1

Work Breakdown Structure The project management team begins its task well in advance of project execution so that a plan can be developed. One of its first steps is to carefully establish the project’s objectives, then break the project down into manageable parts. This work breakdown structure (WBS) defines the project by dividing it into its major subcomponents (or tasks), which are then subdivided into more detailed components, and finally into a set of activities and their related costs. The division of the project into smaller and smaller tasks can be difficult, but is critical to managing the proj- ect and to scheduling success. Gross requirements for people, supplies, and equipment are also estimated in this planning phase.

The work breakdown structure typically decreases in size from top to bottom and is indented like this:

Level 1 Project 2 Major tasks in the project 3 Subtasks in major tasks 4 Activities (or “work packages”) to be completed

This hierarchical framework can be illustrated with the development of Microsoft’s operating sys- tem Windows 7. As we see in Figure 3.3, the project, creating a new operating system, is labeled 1.0. The first step is to identify the major tasks in the project (level 2). Three examples would be software design (1.1), project management (1.2), and system testing (1.3). Two major subtasks for 1.1 are development of graphical user interfaces (GUIs) (1.1.1) and creating compatibility with previous versions of Windows (1.1.2). The major subtasks for 1.1.2 are level-4 activities,

Work breakdown structure (WBS) A hierarchical description of a project into more and more detailed components.

1See Hilder Helgadottir, “The Ethical Dimension of Project Management,” International Journal of Project Management 26, no. 7 (October 2008): 743.

Level 2

Level 3

Level 4

Level 1 Develop Windows 7 Operating System

Software Design

Project Management

System Testing

Develop GUIs

Planning

1.0

1.1 1.2 1.3

1.1.1

1.1.2

1.1.2.1

1.1.2.2

1.1.2.3

1.2.2 1.3.2

1.2.1 1.3.1 Module Testing

Ensure Compatibility with Earlier Versions

Defect Tracking

Cost/Schedule Management

Compatible with Windows ME(Work packages)

Compatible with Windows Vista

Compatible with Windows XP

� FIGURE 3.3 Work Breakdown Structure

Chapter 3 Project Management 53

such as creating a team to handle compatibility with Windows ME (1.1.2.1), creating a team for Windows Vista (1.1.2.2), and creating a team for Windows XP (1.1.2.3). There are usually many level-4 activities.

PROJECT SCHEDULING Project scheduling involves sequencing and allotting time to all project activities. At this stage, managers decide how long each activity will take and compute how many people and materials will be needed at each stage of production. Managers also chart separate schedules for personnel needs by type of skill (management, engineering, or pouring concrete, for example). Charts also can be developed for scheduling materials.

One popular project scheduling approach is the Gantt chart. Gantt charts are low-cost means of helping managers make sure that (1) activities are planned, (2) order of performance is docu- mented, (3) activity time estimates are recorded, and (4) overall project time is developed. As Figure 3.4 shows, Gantt charts are easy to understand. Horizontal bars are drawn for each project activity along a time line. This illustration of a routine servicing of a Delta jetliner during a 40-minute layover shows that Gantt charts also can be used for scheduling repetitive operations. In this case, the chart helps point out potential delays. The OM in Action box on Delta provides additional insights. (A second illustration of a Gantt chart is also provided in Chapter 15, Figure 15.4.)

On simple projects, scheduling charts such as these permit managers to observe the progress of each activity and to spot and tackle problem areas. Gantt charts, though, do not adequately illustrate the interrelationships between the activities and the resources.

PERT and CPM, the two widely used network techniques that we shall discuss shortly, do have the ability to consider precedence relationships and interdependency of activities. On com- plex projects, the scheduling of which is almost always computerized, PERT and CPM thus have an edge over the simpler Gantt charts. Even on huge projects, though, Gantt charts can be used as summaries of project status and may complement the other network approaches.

To summarize, whatever the approach taken by a project manager, project scheduling serves several purposes:

1. It shows the relationship of each activity to others and to the whole project. 2. It identifies the precedence relationships among activities. 3. It encourages the setting of realistic time and cost estimates for each activity. 4. It helps make better use of people, money, and material resources by identifying critical bot-

tlenecks in the project.

Gantt charts Planning charts used to schedule resources and allocate time.

LO1: Use a Gantt chart for scheduling

0 10 20 30 40

Time, minutes

Passengers

Baggage

Fueling

Lavatory servicing

Galley servicing

Cargo and mail

Drinking water

Flight service

Cabin cleaning

Cargo and mail

Operating crew Baggage Passengers

Baggage claim Deplaning

Container offload

Engine injection water Pumping

Container offload Main cabin door Aft cabin door

Loading Aft, center, forward

Economy section First-class section

Container/bulk loading

Galley/cabin check

Aircraft check Receive passengers

Loading Boarding

� FIGURE 3.4 Gantt Chart of Service Activities for a Delta Jet during a 40-Minute Layover Delta hopes to save $50 million a year with this turnaround time, which is a reduction from its traditional 60-minute routine.

AUTHOR COMMENT Gantt charts are simple and visual, making them

widely used.

54 PART 1 Introduction to Operations Management

Flight 574’s engines screech its arrival as the jet lumbers down Richmond’s taxiway with 140 passengers arriving from Atlanta. In 40 minutes, the plane is to be airborne again.

However, before this jet can depart, there is business to attend to: passengers, luggage, and cargo to unload and load; thousands of gallons of jet fuel and countless drinks to restock; cabin and restrooms to clean; toilet holding tanks to drain; and engines, wings, and landing gear to inspect.

The 10-person ground crew knows that a miscue anywhere—a broken cargo loader, lost baggage, misdirected passengers—can mean a late departure and trigger a chain reaction of headaches from Richmond to Atlanta to every destination of a connecting flight.

Carla Sutera, the operations manager for Delta’s Richmond International Airport, views the turnaround operation like a pit boss awaiting a race car. Trained crews

are in place for Flight 574 with baggage carts and tractors, hydraulic cargo loaders, a truck to load food and drinks, another to lift the cleanup crew, another to put fuel on, and a fourth to take water off. The “pit crew” usually performs so smoothly that most passengers never suspect the proportions of the effort. Gantt charts, such as the one in Figure 3.4, aid Delta and other airlines with the staffing and scheduling that are needed for this task.

Sources: Knight Ridder Tribune Business News (July 16, 2005): 1 and (November 21, 2002): 1.

OM in Action � Delta’s Ground Crew Orchestrates a Smooth Takeoff

PROJECT CONTROLLING The control of projects, like the control of any management system, involves close monitoring of resources, costs, quality, and budgets. Control also means using a feedback loop to revise the project plan and having the ability to shift resources to where they are needed most. Computerized PERT/CPM reports and charts are widely available today on personal computers. Some of the more popular of these programs are Primavera (by Primavera Systems, Inc.), MacProject (by Apple Computer Corp.), Pertmaster (by Westminster Software, Inc.), VisiSchedule (by Paladin Software Corp.), Time Line (by Symantec Corp.), and Microsoft Project (by Microsoft Corp.), which we illustrate in this chapter.

These programs produce a broad variety of reports, including (1) detailed cost breakdowns for each task, (2) total program labor curves, (3) cost distribution tables, (4) functional cost and hour summaries, (5) raw material and expenditure forecasts, (6) variance reports, (7) time analysis reports, and (8) work status reports.

Construction of the new 11-story building at Arnold Palmer Hospital in Orlando, Florida, was an enormous project for the hospital administration. The photo on the left shows the first six floors under construction. The photo on the right shows the building as completed two years later. Prior to beginning actual construction, regulatory and funding issues added, as they do with most projects; substantial time to the overall project. Cities have zoning and parking issues; the EPA has drainage and waste issues; and regulatory authorities have their own requirements; as do issuers of bonds. The $100 million, 4-year project at Arnold Palmer Hospital is discussed in the Video Case Study in the Lecture Guide & Activities Manual.

VIDEO 3.2 Project Management at Arnold

Palmer Hospital

AUTHOR COMMENT Software has revolutionized

project control.

Chapter 3 Project Management 55

PROJECT MANAGEMENT TECHNIQUES: PERT AND CPM Program evaluation and review technique (PERT) and the critical path method (CPM) were both developed in the 1950s to help managers schedule, monitor, and control large and complex projects. CPM arrived first, in 1957, as a tool developed by J. E. Kelly of Remington Rand and M. R. Walker of duPont to assist in the building and maintenance of chemical plants at duPont. Independently, PERT was developed in 1958 by Booz, Allen, and Hamilton for the U.S. Navy.

The Framework of PERT and CPM PERT and CPM both follow six basic steps:

1. Define the project and prepare the work breakdown structure. 2. Develop the relationships among the activities. Decide which activities must precede and

which must follow others. 3. Draw the network connecting all the activities. 4. Assign time and/or cost estimates to each activity. 5. Compute the longest time path through the network. This is called the critical path. 6. Use the network to help plan, schedule, monitor, and control the project.

Step 5, finding the critical path, is a major part of controlling a project. The activities on the crit- ical path represent tasks that will delay the entire project if they are not completed on time. Managers can gain the flexibility needed to complete critical tasks by identifying noncritical activities and replanning, rescheduling, and reallocating labor and financial resources.

Although PERT and CPM differ to some extent in terminology and in the construction of the network, their objectives are the same. Furthermore, the analysis used in both techniques is very similar. The major difference is that PERT employs three time estimates for each activity. These time estimates are used to compute expected values and standard deviations for the activity. CPM makes the assumption that activity times are known with certainty and hence requires only one time factor for each activity.

For purposes of illustration, the rest of this section concentrates on a discussion of PERT. Most of the comments and procedures described, however, apply just as well to CPM.

PERT and CPM are important because they can help answer questions such as the following about projects with thousands of activities:

1. When will the entire project be completed? 2. What are the critical activities or tasks in the project—that is, which activities will delay the

entire project if they are late? 3. Which are the noncritical activities—the ones that can run late without delaying the whole

project’s completion? 4. What is the probability that the project will be completed by a specific date? 5. At any particular date, is the project on schedule, behind schedule, or ahead of schedule? 6. On any given date, is the money spent equal to, less than, or greater than the budgeted

amount? 7. Are there enough resources available to finish the project on time? 8. If the project is to be finished in a shorter amount of time, what is the best way to accomplish

this goal at the least cost?

Network Diagrams and Approaches The first step in a PERT or CPM network is to divide the entire project into significant activities in accordance with the work breakdown structure. There are two approaches for drawing a proj- ect network: activity-on-node (AON) and activity-on-arrow (AOA). Under the AON conven- tion, nodes designate activities. Under AOA, arrows represent activities. Activities consume time and resources. The basic difference between AON and AOA is that the nodes in an AON diagram represent activities. In an AOA network, the nodes represent the starting and finishing times of an activity and are also called events. So nodes in AOA consume neither time nor resources.

Figure 3.5 illustrates both conventions for a small portion of the airline turnaround Gantt chart (in Figure 3.4). The examples provide some background for understanding six common activity

Program evaluation and review technique (PERT) A project management technique that employs three time estimates for each activity.

Critical path method (CPM) A project management technique that uses only one time factor per activity.

Critical path The computed longest time path(s) through a network.

Activity-on-node (AON) A network diagram in which nodes designate activities.

Activity-on-arrow (AOA) A network diagram in which arrows designate activities.

AUTHOR COMMENT To use project management software, you first need to understand the next two sections in this chapter.

56 PART 1 Introduction to Operations Management

B C

A

B

C A

B

C

A

B

C

B

C

A B CA

B DA

C

CA

DB

A

B D

A C

B

C

DA

CA

DB

CA

DB

A comes before B, which comes before C.

A and B must both be completed before C can start.

B and C cannot begin until A is completed.

C and D cannot begin until both A and B are completed.

C cannot begin until both A and B are completed; D cannot begin until B is completed. A dummy activity is introduced in AOA.

B and C cannot begin until A is completed. D cannot begin until both B and C are completed. A dummy activity is again introduced in AOA.

Dummy activity

Dummy activity

Activity-on-Node (AON) Activity Meaning Activity-on-Arrow (AOA)

(a)

(b)

(c)

(d)

(e)

(f)

� FIGURE 3.5 A Comparison of AON and AOA Network Conventions

relationships in networks. In Figure 3.5(a), activity A must be finished before activity B is started, and B must, in turn, be completed before C begins. Activity A might represent “deplan- ing passengers,” while B is “cabin cleaning,” and C is “boarding new passengers.”

Figures 3.5(e) and 3.5(f) illustrate that the AOA approach sometimes needs the addition of a dummy activity to clarify relationships. A dummy activity consumes no time or resources, but is required when a network has two activities with identical starting and ending events, or when two or more follow some, but not all, “preceding” activities. The use of dummy activities is also important when computer software is employed to determine project completion time. A dummy activity has a completion time of zero and is shown graphically with a dashed line.

Although both AON and AOA are popular in practice, many of the project management soft- ware packages, including Microsoft Project, use AON networks. For this reason, although we illustrate both types of networks in the next examples, we focus on AON networks in subsequent discussions in this chapter.

Dummy activity An activity having no time that is inserted into a network to maintain the logic of the network.

Chapter 3 Project Management 57

Activity-on-Node Example

� EXAMPLE 1 Activity-on-node for EPA problem at Milwaukee Paper

Milwaukee Paper Manufacturing, Inc., located near downtown Milwaukee, has long been delaying the expense of installing air pollution control equipment in its facility. The Environmental Protection Agency (EPA) has recently given the manufacturer 16 weeks to install a complex air filter system. Milwaukee Paper has been warned that it may be forced to close the facility unless the device is installed in the allotted time. Joni Steinberg, the plant manager, wants to make sure that installation of the filtering system progresses smoothly and on time.

Given the following information, develop a table showing activity precedence relationships.

APPROACH � Milwaukee Paper has identified the eight activities that need to be performed in order for the project to be completed. When the project begins, two activities can be simultaneously started: building the internal components for the device (activity A) and the modifications necessary for the floor and roof (activity B). The construction of the collection stack (activity C) can begin when the internal components are completed. Pouring the concrete floor and installation of the frame (activity D) can be started as soon as the internal components are completed and the roof and floor have been modified.

After the collection stack has been constructed, two activities can begin: building the high-temperature burner (activity E) and installing the pollution control system (activity F). The air pollution device can be installed (activity G) after the concrete floor has been poured, the frame has been installed, and the high- temperature burner has been built. Finally, after the control system and pollution device have been installed, the system can be inspected and tested (activity H).

SOLUTION � Activities and precedence relationships may seem rather confusing when they are presented in this descriptive form. It is therefore convenient to list all the activity information in a table, as shown in Table 3.1. We see in the table that activity A is listed as an immediate predecessor of activ- ity C. Likewise, both activities D and E must be performed prior to starting activity G.

INSIGHT � To complete a network, all predecessors must be clearly defined.

LEARNING EXERCISE � What is the impact on the sequence of activities if EPA approval is required after Inspect and Test? [Answer: The immediate predecessor for the new activity would be H, Inspect and Test, with EPA approval as the last activity.]

LO2: Draw AOA and AON networks

Activity Description Immediate

Predecessors

A Build internal components — B Modify roof and floor — C Construct collection stack A D Pour concrete and install frame A, B E Build high-temperature burner C F Install pollution control system C G Install air pollution device D, E H Inspect and test F, G

� TABLE 3.1 Milwaukee Paper Manufacturing’s Activities and Predecessors

Note that in Example 1, it is enough to list just the immediate predecessors for each activity. For instance, in Table 3.1, since activity A precedes activity C, and activity C precedes activity E, the fact that activity A precedes activity E is implicit. This relationship need not be explicitly shown in the activity precedence relationships.

When there are many activities in a project with fairly complicated precedence relationships, it is difficult for an individual to comprehend the complexity of the project from just the tabular information. In such cases, a visual representation of the project, using a project network, is con- venient and useful. A project network is a diagram of all the activities and the precedence rela- tionships that exist between these activities in a project. Example 2 illustrates how to construct a project network for Milwaukee Paper Manufacturing.

58 PART 1 Introduction to Operations Management

Monday. It is time for John Nicely to make a grocery list. He’s serving dinner on Saturday, so he’ll need a few things . . . 150 pounds of steak and chicken, ingredients for 48 gallons of shrimp bisque, 400 sushi rolls, and 25 pounds of jambalaya. Plus a couple hundred pizzas and a couple thousand hot dogs—just enough to feed the Miami Heat basketball players and the 19,600 guests expected. You see, Nicely is the executive chef at American Airlines Arena in Miami, and on Saturday the Heat are hosting the L.A. Lakers.

How do you feed huge crowds good food in a short time? It takes good project management, combined with creativity and improvisation. With 250 facilities serving food and beverage, “The Arena,” Nicely says, “is its own beast.”

Tuesday. Shopping day.

Wednesday–Friday. The staff prepares whatever it can, chopping vegetables, marinating meats, mixing salad dressings—everything but cooking the food. Nicely also begins his shopping lists for next Monday’s game against Toronto and for a Queen concert three days later.

Saturday. 3:55 P.M. Clutch time. Suddenly the kitchen is a joke-free zone. In five minutes, Nicely’s first clients, 200 elite season ticket holders, expect their meals—from a unique menu created for each game.

5:00 P.M. As the Heat and Lakers start warming up, the chefs move their operation in a brisk procession of hot boxes and cold-food racks to the satellite kitchens.

6:00 P.M. Nicely and team face surprises at concession stands: a shortage of cashiers and a broken cash register.

Halftime. There is a run on roasted potatoes in the

Flagship restaurant. But Nicely has thought ahead and anticipated. The backup potatoes arrive before customers even notice.

For John Nicely, successful project management means happy guests as the result of a thousand details that have been identified, planned, and executed. Just another night of delivering restaurant-quality meals and top-grade fast food to a sold-out stadium crowd in a span of a couple hours.

Sources: Fast Company (May, 2006): 52–57; and Knight Ridder Tribune Business News (March 9, 2006): 1.

OM in Action � Prepping for the Miami Heat Game

EXAMPLE 2 � AON graph for Milwaukee Paper

Draw the AON network for Milwaukee Paper, using the data in Example 1.

APPROACH � In the AON approach, we denote each activity by a node. The lines, or arrows, rep- resent the precedence relationships between the activities.

SOLUTION � In this example, there are two activities (A and B) that do not have any predeces- sors. We draw separate nodes for each of these activities, as shown in Figure 3.6. Although not required, it is usually convenient to have a unique starting activity for a project. We have therefore included a dummy activity called Start in Figure 3.6. This dummy activity does not really exist and takes up zero time and resources. Activity Start is an immediate predecessor for both activities A and B, and serves as the unique starting activity for the entire project.

A

B

Activity A (Build Internal Components)

Activity B (Modify Roof and Floor)

Start

Start Activity

� FIGURE 3.6 Beginning AON Network for Milwaukee Paper

We now show the precedence relationships using lines with arrow symbols. For example, an arrow from activity Start to activity A indicates that Start is a predecessor for activity A. In a similar fashion, we draw an arrow from Start to B.

Next, we add a new node for activity C. Since activity A precedes activity C, we draw an arrow from node A to node C (see Figure 3.7). Likewise, we first draw a node to represent activity D. Then, since activities A and B both precede activity D, we draw arrows from A to D and from B to D (see Figure 3.7).

Chapter 3 Project Management 59

D

C

Activity A Precedes Activity C

Activities A and B Precede Activity D

Start

B

A

� FIGURE 3.7 Intermediate AON Network for Milwaukee Paper

D G

H

Arrows Show Precedence

Relationships

Start

B

A

F

E

C

� FIGURE 3.8 Complete AON Network for Milwaukee Paper

We proceed in this fashion, adding a separate node for each activity and a separate line for each precedence relationship that exists. The complete AON project network for the Milwaukee Paper Manufacturing project is shown in Figure 3.8.

INSIGHT � Drawing a project network properly takes some time and experience. We would like the lines to be straight and arrows to move to the right when possible.

LEARNING EXERCISE � If EPA Approval occurs after Inspect and Test, what is the impact on the graph? [Answer: A straight line is extended to the right beyond H to reflect the additional activity.]

RELATED PROBLEMS � 3.3, 3.6, 3.7, 3.9a, 3.10, 3.12, 3.15a

When we first draw a project network, it is not unusual that we place our nodes (activities) in the network in such a fashion that the arrows (precedence relationships) are not straight lines. That is, the lines could be intersecting each other, and even facing in opposite directions. For example, if we had switched the location of the nodes for activities E and F in Figure 3.8, the lines from F to H and E to G would have intersected. Although such a project network is per- fectly valid, it is good practice to have a well-drawn network. One rule that we especially recom- mend is to place the nodes in such a fashion that all arrows point in the same direction. To achieve this, we suggest that you first draw a rough draft of the network, making sure all the rela- tionships are shown. Then you can redraw the network to make appropriate changes in the loca- tion of the nodes.

As with the unique starting node, it is convenient to have the project network finish with a unique ending node. In the Milwaukee Paper example, it turns out that a unique activity, H, is the last activity in the project. We therefore automatically have a unique ending node.

In situations in which a project has multiple ending activities, we include a “dummy” ending activity. This dummy activity has all the multiple ending activities in the project as immediate predecessors. We illustrate this type of situation in Solved Problem 3.2 at the end of this chapter.

60 PART 1 Introduction to Operations Management

Activity-on-Arrow Example We saw earlier that in an AOA project network we can represent activities by arrows. A node rep- resents an event, which marks the start or completion time of an activity. We usually identify an event (node) by a number.

EXAMPLE 3 � Activity-on-arrow for Milwaukee Paper

Draw the complete AOA project network for Milwaukee Paper’s problem.

APPROACH � Using the data from Table 3.1 in Example 1, draw one activity at a time, starting with A.

SOLUTION � We see that activity A starts at event 1 and ends at event 2. Likewise, activity B starts at event 1 and ends at event 3. Activity C, whose only immediate predecessor is activity A, starts at node 2 and ends at node 4. Activity D, however, has two predecessors (i.e., A and B). Hence, we need both activities A and B to end at event 3, so that activity D can start at that event. However, we cannot have multiple activities with common starting and ending nodes in an AOA network. To overcome this difficulty, in such cases, we may need to add a dummy line (activity) to enforce the precedence relation- ship. The dummy activity, shown in Figure 3.9 as a dashed line, is inserted between events 2 and 3 to make the diagram reflect the precedence between A and D. The remainder of the AOA project network for Milwaukee Paper’s example is also shown.

DETERMINING THE PROJECT SCHEDULE Look back at Figure 3.8 (in Example 2) for a moment to see Milwaukee Paper’s completed AON project network. Once this project network has been drawn to show all the activities and their precedence relationships, the next step is to determine the project schedule. That is, we need to identify the planned starting and ending time for each activity.

Let us assume Milwaukee Paper estimates the time required for each activity, in weeks, as shown in Table 3.2. The table indicates that the total time for all eight of the company’s activities is 25 weeks. However, since several activities can take place simultaneously, it is clear that the total project completion time may be less than 25 weeks. To find out just how long the project will take, we perform the critical path analysis for the network.

C

(Construct Stack)

(Pour Concrete/Install Frame)

D

(B u ild

B u rn

e r)

E

A

(B uil

d In

te rn

al

Co m

po ne

nt s)

B (M

odify Roof/Floor)

(Install Controls)

F

G

(In st

al l P

ol lu

tio n

De vic

e)

(Inspect/Test)

HDummy Activity

2 4

5

6 7

3

1

� FIGURE 3.9 Complete AOA Network (with Dummy Activity) for Milwaukee Paper

Critical path analysis A process that helps determine a project schedule.

INSIGHT � Dummy activities are common in AOA networks. They do not really exist in the proj- ect and take zero time.

LEARNING EXERCISE � A new activity, EPA Approval, follows activity H. Add it to Figure 3.9. [Answer: Insert an arrowed line from node 7, which ends at a new node 8, and is labeled I (EPA Approval).]

RELATED PROBLEMS � 3.4, 3.5, 3.9b

AUTHOR COMMENT The dummy activity

consumes no time, but note how it changes precedence. Now activity D cannot begin until both B and the dummy

are complete.

AUTHOR COMMENT We now add times to

complete each activity. This lets us find the critical path.

0 A

2

2

0 B

3

3 8 G

5

13

13 H

2

15

4 F

3

7

2 C

2

4

3 D

4

7

4 E

4

80 Start

0

0

0 0

0 2 LS

LF = Min(2,4) = 2

2 4

10 13

LF = Min(LS of E, LS of F) = Min(4,10) = 4

4 8

1 4 4 8

LS = LF – 4

8 13

LF = EF of Project

13 15

Overlay 1: Latest Start and Finish Times Are Now Added

Overlay 2: Slack Times Are Now Computed and Added

0 A

2

2

0 B

3

3 8 G

5

13

13 H

2

15

4 F

3

7

2 C

2

4

3 D

4

7

4 E

4

80 Start

0

0

0 0

0 2 2 4

10 13

4 8

1 4 4 8 8 13

13 15

Slack = 0

Slack = 0

Slack = 6

Slack = 1 Slack = 1

Slack = 0Slack = 0

Slack = 0

0 A

2

2

0 B

3

3 8 G

5

13

13 H

2

15

4 F

3

7

2 C

2

4

3 D

4

7

4 E

4

80 Start

0

0

0 0

0 2 2 4

10 13

4 8

1 4 4 8 8 13

13 15

Overlay 3: The Critical Path Is Now Shown in Five Thick Blue Lines

Chapter 3 Project Management 61

Activity Description Time (weeks)

A Build internal components 2 B Modify roof and floor 3 C Construct collection stack 2 D Pour concrete and install frame 4 E Build high-temperature burner 4 F Install pollution control system 3 G Install air pollution device 5 H Inspect and test 2

Total time (weeks) 25

� TABLE 3.2 Time Estimates for Milwaukee Paper Manufacturing

As mentioned earlier, the critical path is the longest time path through the network. To find the critical path, we calculate two distinct starting and ending times for each activity. These are defined as follows:

We use a two-pass process, consisting of a forward pass and a backward pass, to determine these time schedules for each activity. The early start and finish times (ES and EF) are determined during the forward pass. The late start and finish times (LS and LF) are determined during the backward pass.

Forward Pass To clearly show the activity schedules on the project network, we use the notation shown in Figure 3.10. The ES of an activity is shown in the top left corner of the node denoting that activ- ity. The EF is shown in the top right corner. The latest times, LS and LF, are shown in the bottom- left and bottom-right corners, respectively.

Earliest Start Time Rule Before an activity can start, all its immediate predecessors must be finished:

• If an activity has only a single immediate predecessor, its ES equals the EF of the predecessor. • If an activity has multiple immediate predecessors, its ES is the maximum of all EF values of

its predecessors. That is,

(3-1)

Earliest Finish Rule The earliest finish time (EF) of an activity is the sum of its earliest start time (ES) and its activity time. That is,

(3-2)EF = ES + Activity time

ES = Max {EF of all immediate predecessors}

the completion time of the entire project Latest finish (LF) = latest time by which an activity has to finish so as to not delay

the completion time of the entire project Latest start (LS) = latest time at which an activity can start so as to not delay

Earliest finish (EF) = earliest time at which an activity can be finished predecessors have been completed

Earliest start (ES) = earliest time at which an activity can start, assuming all

Forward pass A process that identifies all the early times.

LO3: Complete forward and backward passes for a project

ES

Earliest Start

Earliest Finish

Activity Name or Symbol

Activity Duration

Latest Start

Latest Finish

A

2

LS

EF

LF

� FIGURE 3.10 Notation Used in Nodes for Forward and Backward Pass

AUTHOR COMMENT Does this mean the project

will take 25 weeks to complete? No. Don’t forget that several of the activities are being performed at the same time. It would take 25

weeks if they were done sequentially.

AUTHOR COMMENT All predecessor activities

must be completed before an acitivity can begin.

62 PART 1 Introduction to Operations Management

0 A

ES of A

ES EF = Max(2,3)

LS LF

Activity Name

Activity Duration

ES = Max(EF of D, EF of E) = Max(7, 8) = 8

EF of A = ES of A + 2

ES of C = EF of A

2

2

0 B

3

3 8 G

5

13

13 H

2

15

4 F

3

7

2 C

2

4

3 D

4

7

4 E

4

80 Start

0

0

� FIGURE 3.11 Earliest Start and Earliest Finish Times for Milwaukee Paper

Calculate the earliest start and finish times for the activities in the Milwaukee Paper Manufacturing project.

APPROACH � Use Table 3.2, which contains the activity times. Complete the project network for the company’s project, along with the ES and EF values for all activities.

SOLUTION � With the help of Figure 3.11, we describe how these values are calculated. Since activity Start has no predecessors, we begin by setting its ES to 0. That is, activity Start can

begin at time 0, which is the same as the beginning of week 1. If activity Start has an ES of 0, its EF is also 0, since its activity time is 0.

Next, we consider activities A and B, both of which have only Start as an immediate predecessor. Using the earliest start time rule, the ES for both activities A and B equals zero, which is the EF of activity Start. Now, using the earliest finish time rule, the EF for A is 2 (= 0 + 2), and the EF for B is 3 (= 0 + 3).

Since activity A precedes activity C, the ES of C equals the EF of A (= 2). The EF of C is therefore 4 (= 2 + 2).

We now come to activity D. Both activities A and B are immediate predecessors for B. Whereas A has an EF of 2, activity B has an EF of 3. Using the earliest start time rule, we compute the ES of activity D as follows:

The EF of D equals 7 (= 3 + 4). Next, both activities E and F have activity C as their only immediate predecessor. Therefore, the ES for both E and F equals 4 (= EF of C). The EF of E is 8 (= 4 + 4), and the EF of F is 7 (= 4 + 3).

Activity G has both activities D and E as predecessors. Using the earliest start time rule, its ES is therefore the maximum of the EF of D and the EF of E. Hence, the ES of activity G equals 8 (= maxi- mum of 7 and 8), and its EF equals 13 (= 8 + 5).

ES of D = Max(EF of A, EF of B) = Max(2, 3) = 3

EXAMPLE 4 � Computing earliest start and finish times for Milwaukee Paper

Chapter 3 Project Management 63

Backward pass An activity that finds all the late start and late finish times.

Finally, we come to activity H. Since it also has two predecessors, F and G, the ES of H is the max- imum EF of these two activities. That is, the ES of H equals 13 (= maximum of 13 and 7). This implies that the EF of H is 15 (= 13 + 2). Since H is the last activity in the project, this also implies that the ear- liest time in which the entire project can be completed is 15 weeks.

INSIGHT � The ES of an activity that has only one predecessor is simply the EF of that predeces- sor. For an activity with more than one predecessor, we must carefully examine the EFs of all immedi- ate predecessors and choose the largest one.

LEARNING EXERCISE � A new activity I, EPA Approval, takes 1 week. Its predecessor is activity H. What are I’s ES and EF? [Answer: 15, 16]

RELATED PROBLEMS � 3.11, 3.14c

EXCEL OM Data File Ch03Ex4.xls can be found at www.pearsonhighered.com/heizer.

Although the forward pass allows us to determine the earliest project completion time, it does not identify the critical path. To identify this path, we need to now conduct the backward pass to determine the LS and LF values for all activities.

Backward Pass Just as the forward pass began with the first activity in the project, the backward pass begins with the last activity in the project. For each activity, we first determine its LF value, followed by its LS value. The following two rules are used in this process.

Latest Finish Time Rule This rule is again based on the fact that before an activity can start, all its immediate predecessors must be finished:

• If an activity is an immediate predecessor for just a single activity, its LF equals the LS of the activity that immediately follows it.

• If an activity is an immediate predecessor to more than one activity, its LF is the minimum of all LS values of all activities that immediately follow it. That is:

(3-3)

Latest Start Time Rule The latest start time (LS) of an activity is the difference of its latest finish time (LF) and its activity time. That is:

(3-4)LS = LF - Activity time

LF = Min{LS of all immediate following activities}

� EXAMPLE 5 Computing latest start and finish times for Milwaukee Paper

Calculate the latest start and finish times for each activity in Milwaukee Paper’s pollution project.

APPROACH � Use Figure 3.11 as a beginning point. Overlay 1 of Figure 3.11 shows the com- plete project network for Milwaukee Paper, along with LS and LF values for all activities. In what fol- lows, we see how these values were calculated.

SOLUTION � We begin by assigning an LF value of 15 weeks for activity H. That is, we specify that the latest finish time for the entire project is the same as its earliest finish time. Using the latest start time rule, the LS of activity H is equal to 13 (� 15 - 2).

Since activity H is the lone succeeding activity for both activities F and G, the LF for both F and G equals 13. This implies that the LS of G is 8 (� 13 - 5), and the LS of F is 10 (� 13 - 3).

Proceeding in this fashion, we see that the LF of E is 8 (� LS of G), and its LS is 4 (� 8 - 4). Likewise, the LF of D is 8 (� LS of G), and its LS is 4 (� 8 � 4).

We now consider activity C, which is an immediate predecessor to two activities: E and F. Using the latest finish time rule, we compute the LF of activity C as follows:

The LS of C is computed as 2 (= 4 - 2). Next, we compute the LF of B as 4 (= LS of D), and its LS as 1 (� 4 � 3).

LF of C = Min(LS of E, LS of F) = Min(4, 10) = 4

64 PART 1 Introduction to Operations Management

Calculating Slack Time and Identifying the Critical Path(s) After we have computed the earliest and latest times for all activities, it is a simple matter to find the amount of slack time2 that each activity has. Slack is the length of time an activity can be delayed without delaying the entire project. Mathematically:

(3-5)Slack = LS - ES or Slack = LF - EF

Slack time Free time for an activity.

EXAMPLE 6 � Calculating slack times for Milwaukee Paper

Activity

Earliest Start ES

Earliest Finish

EF

Latest Start LS

Latest Finish

LF Slack

LS – ES

On Critical

Path

A 0 2 0 2 0 Yes B 0 3 1 4 1 No C 2 4 2 4 0 Yes D 3 7 4 8 1 No E 4 8 4 8 0 Yes F 4 7 10 13 6 No G 8 13 8 13 0 Yes H 13 15 13 15 0 Yes

� TABLE 3.3 Milwaukee Paper’s Schedule and Slack Times

Calculate the slack for the activities in the Milwaukee Paper project.

APPROACH � Start with the data in Overlay 1 of Figure 3.11 in Example 5 and develop Table 3.3 one line at a time.

SOLUTION � Table 3.3 summarizes the ES, EF, LS, LF, and slack time for all of the firm’s activi- ties. Activity B, for example, has 1 week of slack time since its LS is 1 and its ES is 0 (alternatively, its LF is 4 and its EF is 3). This means that activity B can be delayed by up to 1 week, and the whole proj- ect can still be finished in 15 weeks.

2Slack time may also be referred to as free time, free float, or free slack.

We now consider activity A. We compute its LF as 2 (= minimum of LS of C and LS of D). Hence, the LS of activity A is 0 (� 2 - 2). Finally, both the LF and LS of activity Start are equal to 0.

INSIGHT � The LF of an activity that is the predecessor of only one activity is just the LS of that following activity. If the activity is the predecessor to more than one activity, its LF is the smallest LS value of all activities that follow immediately.

LEARNING EXERCISE � A new activity I, EPA Approval, takes 1 week. Its predecessor is activity H. What are I’s LS and LF? [Answer: 15, 16]

RELATED PROBLEMS � 3.11, 3.14c.

On the other hand, activities A, C, E, G, and H have no slack time. This means that none of them can be delayed without delaying the entire project. Conversely, if plant manager Joni Steinberg wants to reduce the total project times, she will have to reduce the length of one of these activities.

Overlay 2 of Figure 3.11 shows the slack computed for each activity.

INSIGHT � Slack may be computed from either early/late starts or early/late finishes. The key is to find which activities have zero slack.

LEARNING EXERCISE � A new activity I, EPA Approval, follows activity H and takes 1 week. Is it on the critical path? [Answer: Yes, it’s LS – ES = 0]

RELATED PROBLEMS � 3.6, 3.11, 3.27

ACTIVE MODEL 3.1 This example is further illustrated in Active Model 3.1 at www.pearsonhighered.com/heizer.

Chapter 3 Project Management 65

The activities with zero slack are called critical activities and are said to be on the critical path. The critical path is a continuous path through the project network that:

• Starts at the first activity in the project (Start in our example). • Terminates at the last activity in the project (H in our example). • Includes only critical activities (i.e., activities with no slack time).

LO4: Determine a critical path

� EXAMPLE 7 Showing critical path with blue arrows

Show Milwaukee Paper’s critical path and find the project completion time.

APPROACH � We use Table 3.3 and Overlay 3 of Figure 3.11. Overlay 3 of Figure 3.11 indicates that the total project completion time of 15 weeks corresponds to the longest path in the network. That path is Start-A-C-E-G-H in network form. It is shown with thick blue arrows.

INSIGHT � The critical path follows the activities with slack = 0. This is considered the longest path through the network.

LEARNING EXERCISE � Why are activities B, D, and F not on the path with the thick blue line? [Answer: They are not critical and have slack values of 1, 1, and 6 weeks, respectively.]

RELATED PROBLEMS � 3.3, 3.4, 3.5, 3.6, 3.7, 3.12, 3.14b, 3.15, 3.17, 3.20a, 3.22a, 3.23, 3.26

Total Slack Time Look again at the project network in Overlay 3 of Figure 3.11. Consider activities B and D, which have slack of 1 week each. Does it mean that we can delay each activ- ity by 1 week, and still complete the project in 15 weeks? The answer is no.

Let’s assume that activity B is delayed by 1 week. It has used up its slack of 1 week and now has an EF of 4. This implies that activity D now has an ES of 4 and an EF of 8. Note that these are also its LS and LF values, respectively. That is, activity D also has no slack time now. Essentially, the slack of 1 week that activities B and D had is, for that path, shared between them. Delaying either activity by 1 week causes not only that activity, but also the other activity, to lose its slack. This type of a slack time is referred to as total slack. Typically, when two or more non- critical activities appear successively in a path, they share total slack.

VARIABILITY IN ACTIVITY TIMES In identifying all earliest and latest times so far, and the associated critical path(s), we have adopted the CPM approach of assuming that all activity times are known and fixed constants. That is, there is no variability in activity times. However, in practice, it is likely that activity com- pletion times vary depending on various factors.

Total slack Time shared among more than one activity.

To plan, monitor, and control the huge number of details involved in sponsoring a rock festival attended by more than 100,000 fans, Hard Rock Cafe uses Microsoft Project and the tools discussed in this chapter. The Video Case Study “Managing Hard Rock’s Rockfest,” in the Lecture Guide & Activities Manual, provides more details of the management task.

AUTHOR COMMENT PERT’s ability to handle three

time estimates for each activity enables us to

compute the probability that we can complete the project

by a target date.

66 PART 1 Introduction to Operations Management

For example, building internal components (activity A) for Milwaukee Paper Manufacturing is estimated to finish in 2 weeks. Clearly, factors such as late arrival of raw materials, absence of key personnel, and so on, could delay this activity. Suppose activity A actually ends up taking 3 weeks. Since A is on the critical path, the entire project will now be delayed by 1 week to 16 weeks. If we had anticipated completion of this project in 15 weeks, we would obviously miss our deadline.

Although some activities may be relatively less prone to delays, others could be extremely susceptible to delays. For example, activity B (modify roof and floor) could be heavily dependent on weather conditions. A spell of bad weather could significantly affect its com- pletion time.

This means that we cannot ignore the impact of variability in activity times when deciding the schedule for a project. PERT addresses this issue.

Three Time Estimates in PERT In PERT, we employ a probability distribution based on three time estimates for each activity, as follows:

Optimistic time (a) � time an activity will take if everything goes as planned. In estimating this value, there should be only a small probability (say, 1/100) that the activity time will be < a.

Pessimistic time (b) � time an activity will take assuming very unfavorable conditions. In estimating this value, there should also be only a small probability (also, 1/100) that the activity time will be > b.

Most likely time (m) � most realistic estimate of the time required to complete an activity.

When using PERT, we often assume that activity time estimates follow the beta probability dis- tribution (see Figure 3.12). This continuous distribution is often appropriate for determining the expected value and variance for activity completion times.

To find the expected activity time, t, the beta distribution weights the three time estimates as follows:

(3-6)

That is, the most likely time (m) is given four times the weight as the optimistic time (a) and pes- simistic time (b). The time estimate t computed using Equation (3-6) for each activity is used in the project network to compute all earliest and latest times.

To compute the dispersion or variance of activity completion time, we use the formula3:

(3-7)Variance = [(b - a)>6]2

t = (a + 4m + b)>6

Optimistic Time (a)

Most Likely Time (m)

Pessimistic Time (b)

Activity Time

P ro

b a b ili

ty

Probability of 1 in 100 of occurring< a

Probability of 1 in 100 of occurring> b

� FIGURE 3.12 Beta Probability Distribution with Three Time Estimates

Optimistic time The “best” activity completion time that could be obtained in a PERT network.

Pessimistic time The “worst” activity time that could be expected in a PERT network.

Most likely time The most probable time to complete an activity in a PERT network.

3This formula is based on the statistical concept that from one end of the beta distribution to the other is 6 standard deviations (±3 standard deviations from the mean). Since (b - a) is 6 standard deviations, the variance is [(b - a)/6]2.

Chapter 3 Project Management 67

� EXAMPLE 8 Expected times and variances for Milwaukee Paper

LO5: Calculate the variance of activity times

Activity Optimistic

a

Most Likely

m Pessimistic

b Expected Time

t = (a + 4m + b)/6 Variance

[(b � a)/6]2

A 1 2 3 2 [(3 - 1)/6]2 = 4/36 = .11 B 2 3 4 3 [(4 - 2)/6]2 = 4/36 = .11 C 1 2 3 2 [(3 - 1)/6]2 = 4/36 = .11 D 2 4 6 4 [(6 - 2)/6]2 = 16/36 = .44 E 1 4 7 4 [(7 - 1)/6]2 = 36/36 = 1.00 F 1 2 9 3 [(9 - 1)/6]2 = 64/36 = 1.78 G 3 4 11 5 [(11 - 3)/6]2 = 64/36 = 1.78 H 1 2 3 2 [(3 - 1)/6]2 = 4/36 = .11

� TABLE 3.4 Time Estimates (in weeks) for Milwaukee Paper’s Project

RELATED PROBLEMS � 3.13, 3.14a, 3.17a,b, 3.21a

EXCEL OM Data File Ch03Ex8.xls can be found at www.pearsonhighered.com/heizer.

Joni Steinberg and the project management team at Milwaukee Paper want an expected time and vari- ance for Activity F (Installing the Pollution Control System) where:

APPROACH � Use Equations (3-6) and (3-7) to compute the expected time and variance for F.

SOLUTION � The expected time for Activity F is:

The variance for Activity F is:

INSIGHT � Steinberg now has information that allows her to understand and manage Activity F. The expected time is, in fact, the activity time used in our earlier computation and identification of the critical path.

LEARNING EXERCISE � Review the expected times and variances for all of the other activi- ties in the project. These are shown in Table 3.4.

Variance = c (b - a)

6 d

2

= c (9 - 1)

6 d

2

= a 8

6 b

2

= 64

36 = 1.78

t = a + 4m + b

6 =

1 + 4(2) + 9 6

= 18

6 = 3 weeks

a = 1 week, m = 2 weeks, b = 9 weeks

AUTHOR COMMENT Can you see why the variance

is higher in some activities than in others? Note the

spread between the optimistic and pessimistic times.

We see here a ship being built at the Hyundai shipyard, Asia’s largest shipbuilder, in Korea. Managing this project uses the same techniques as managing the remodeling of a store or installing a new production line.

68 PART 1 Introduction to Operations Management

Probability of Project Completion The critical path analysis helped us determine that Milwaukee Paper’s expected project comple- tion time is 15 weeks. Joni Steinberg knows, however, that there is significant variation in the time estimates for several activities. Variation in activities that are on the critical path can affect the overall project completion time—possibly delaying it. This is one occurrence that worries the plant manager considerably.

PERT uses the variance of critical path activities to help determine the variance of the overall project. Project variance is computed by summing variances of critical activities:

(3-8)s2p = Project variance = ©(variances of activities on critical path)

EXAMPLE 9 � Computing project variance and standard deviation for Milwaukee Paper

Milwaukee Paper’s managers now wish to know the project’s variance and standard deviation.

APPROACH � Because the activities are independent, we can add the variances of the activities on the critical path and then take the square root to determine the project’s standard deviation.

SOLUTION � From Example 8 (Table 3.4), we have the variances of all of the activities on the critical path. Specifically, we know that the variance of activity A is 0.11, variance of activity C is 0.11, variance of activity E is 1.00, variance of activity G is 1.78, and variance of activity H is 0.11.

Compute the total project variance and project standard deviation:

which implies:

INSIGHT � Management now has an estimate not only of expected completion time for the proj- ect but also of the standard deviation of that estimate.

LEARNING EXERCISE � If the variance for activity A is actually 0.30 (instead of 0.11), what is the new project standard deviation? [Answer: 1.817.]

RELATED PROBLEM � 3.17e

Project standard deviation (sp) = 2Project variance = 23.11 = 1.76 weeks

Project variance (s2p) = 0.11 + 0.11 + 1.00 + 1.78 + 0.11 = 3.11

How can this information be used to help answer questions regarding the probability of finishing the project on time? PERT makes two more assumptions: (1) total project completion times follow a normal probability distribution, and (2) activity times are statistically independent. With these assumptions, the bell-shaped normal curve shown in Figure 3.13 can be used to represent project completion dates. This normal curve implies that there is a 50% chance that the manufac- turer’s project completion time will be less than 15 weeks and a 50% chance that it will exceed 15 weeks.

Standard Deviation = 1.76 Weeks

15 Weeks

(Expected Completion Time)

� FIGURE 3.13 Probability Distribution for Project Completion Times at Milwaukee Paper

Chapter 3 Project Management 69

� EXAMPLE 10 Probability of completing a project on time

Joni Steinberg would like to find the probability that her project will be finished on or before the 16- week EPA deadline.

APPROACH � To do so, she needs to determine the appropriate area under the normal curve. This is the area to the left of the 16th week.

SOLUTION � The standard normal equation can be applied as follows:

(3-9)

where Z is the number of standard deviations the due date or target date lies from the mean or expected date.

Referring to the Normal Table in Appendix I, we find a Z value of 0.57 to the right of the mean indi- cates a probability of 0.7157. Thus, there is a 71.57% chance that the pollution control equipment can be put in place in 16 weeks or less. This is shown in Figure 3.14.

= (16 weeks - 15 weeks)>1.76 weeks = 0.57 Z = (Due date - Expected date of completion)>sp

15 Weeks

16 Weeks

0.57 Standard Deviations

Time

Probability (T ≤ 16 Weeks) is 71.57%

� FIGURE 3.14 Probability That Milwaukee Paper will Meet the 16-Week Deadline

Determining Project Completion Time for a Given Confidence Level Let’s say Joni Steinberg is worried that there is only a 71.57% chance that the pollution control equipment can be put in place in 16 weeks or less. She thinks that it may be possible to plead with the environ- mental group for more time. However, before she approaches the group, she wants to arm herself with sufficient information about the project. Specifically, she wants to find the deadline by which she has a 99% chance of completing the project. She hopes to use her analysis to convince the group to agree to this extended deadline.

Clearly, this due date would be greater than 16 weeks. However, what is the exact value of this new due date? To answer this question, we again use the assumption that Milwaukee Paper’s project completion time follows a normal probability distribution with a mean of 15 weeks and a standard deviation of 1.76 weeks.

� EXAMPLE 11 Computing probability for any completion date

INSIGHT � The shaded area to the left of the 16th week (71.57%) represents the probability that the project will be completed in less than 16 weeks.

LEARNING EXERCISE � What is the probability that the project will be completed on or before the 17th week? [Answer: About 87.2%.]

RELATED PROBLEMS � 3.14d, 3.17f, 3.21d,e, 3.22b, 3.24

Joni Steinberg wants to find the due date that gives her company’s project a 99% chance of on-time completion.

APPROACH � She first needs to compute the Z-value corresponding to 99%, as shown in Figure 3.15. Mathematically, this is similar to Example 10, except the unknown is now Z rather than the due date.

AUTHOR COMMENT Here is a chance to review

your statistical skills and use of a normal distribution table

(Appendix I).

70 PART 1 Introduction to Operations Management

SOLUTION � Referring again to the Normal Table in Appendix I, we identify a Z-value of 2.33 as being closest to the probability of 0.99. That is, Joni Steinberg’s due date should be 2.33 standard devi- ations above the mean project completion time. Starting with the standard normal equation (see Equa- tion [3-9]), we can solve for the due date and rewrite the equation as:

(3-10)

INSIGHT � If Steinberg can get the environmental group to agree to give her a new deadline of 19.1 weeks (or more), she can be 99% sure of finishing the project on time.

LEARNING EXERCISE � What due date gives the project a 95% chance of on-time comple- tion? [Answer: About 17.9 weeks.]

RELATED PROBLEMS � 3.22c, 3.24e

= 15 + (2.33 * 1.76) = 19.1 weeks Due date = Expected completion time + (Z * sp)

0 2.33 Z2.33 Standard

Deviations

Probability of 0.99

Probability of 0.01

� FIGURE 3.15 Z-Value for 99% Probability of Project Completion at Milwaukee Paper

Variability in Completion Time of Noncritical Paths In our discussion so far, we have focused exclusively on the variability in the completion times of activities on the critical path. This seems logical since these activities are, by definition, the more important activities in a proj- ect network. However, when there is variability in activity times, it is important that we also investigate the variability in the completion times of activities on noncritical paths.

Consider, for example, activity D in Milwaukee Paper’s project. Recall from Overlay 3 in Figure 3.11 (in Example 7) that this is a noncritical activity, with a slack time of 1 week. We have therefore not considered the variability in D’s time in computing the probabilities of project com- pletion times. We observe, however, that D has a variance of 0.44 (see Table 3.4 in Example 8). In fact, the pessimistic completion time for D is 6 weeks. This means that if D ends up taking its pessimistic time to finish, the project will not finish in 15 weeks, even though D is not a critical activity.

For this reason, when we find probabilities of project completion times, it may be necessary for us to not focus only on the critical path(s). Indeed, some research has suggested that expend- ing project resources to reduce the variability of activities not on the critical path can be an effec- tive element in project management.4 We may need also to compute these probabilities for noncritical paths, especially those that have relatively large variances. It is possible for a noncrit- ical path to have a smaller probability of completion within a due date, when compared with the critical path. Determining the variance and probability of completion for a noncritical path is done in the same manner as Examples 9 and 10.

What Project Management Has Provided So Far Project management techniques have thus far been able to provide Joni Steinberg with several valuable pieces of management information:

1. The project’s expected completion date is 15 weeks. 2. There is a 71.57% chance that the equipment will be in place within the 16-week deadline.

PERT analysis can easily find the probability of finishing by any date Steinberg is interested in.

4F. M. Pokladnik, T. F. Anthony, R. R. Hill, G. Ulrich, “A Fresh Look at Estimated Project Duration: Noncritical Path Activity Contribution to Project Variance in PERT/CPM,” Proceedings of the 2003 Southwest Decision Science Conference, Houston.

Chapter 3 Project Management 71

3. Five activities (A, C, E, G, and H) are on the critical path. If any one of these is delayed for any reason, the entire project will be delayed.

4. Three activities (B, D, F) are not critical and have some slack time built in. This means that Steinberg can borrow from their resources, and, if necessary, she may be able to speed up the whole project.

5. A detailed schedule of activity starting and ending dates, slack, and critical path activities has been made available (see Table 3.3 in Example 6).

COST–TIME TRADE-OFFS AND PROJECT CRASHING While managing a project, it is not uncommon for a project manager to be faced with either (or both) of the following situations: (1) the project is behind schedule, and (2) the scheduled proj- ect completion time has been moved forward. In either situation, some or all of the remaining activities need to be speeded up (usually by adding resources) to finish the project by the desired due date. The process by which we shorten the duration of a project in the cheapest manner pos- sible is called project crashing.

CPM is a technique in which each activity has a normal or standard time that we use in our computations. Associated with this normal time is the normal cost of the activity. However, another time in project management is the crash time, which is defined as the shortest duration required to complete an activity. Associated with this crash time is the crash cost of the activity. Usually, we can shorten an activity by adding extra resources (e.g., equipment, people) to it. Hence, it is logical for the crash cost of an activity to be higher than its normal cost.

The amount by which an activity can be shortened (i.e., the difference between its normal time and crash time) depends on the activity in question. We may not be able to shorten some activities at all. For example, if a casting needs to be heat-treated in the furnace for 48 hours, adding more resources does not help shorten the time. In contrast, we may be able to shorten some activities significantly (e.g., frame a house in 3 days instead of 10 days by using three times as many workers).

Likewise, the cost of crashing (or shortening) an activity depends on the nature of the activity. Managers are usually interested in speeding up a project at the least additional cost. Hence, when choosing which activities to crash, and by how much, we need to ensure the following:

• The amount by which an activity is crashed is, in fact, permissible • Taken together, the shortened activity durations will enable us to finish the project by the due

date • The total cost of crashing is as small as possible

Crashing a project involves four steps:

STEP 1: Compute the crash cost per week (or other time period) for each activity in the net- work. If crash costs are linear over time, the following formula can be used:

(3-11)

STEP 2: Using the current activity times, find the critical path(s) in the project network. Identify the critical activities.

STEP 3: If there is only one critical path, then select the activity on this critical path that (a) can still be crashed and (b) has the smallest crash cost per period. Crash this activity by one period.

If there is more than one critical path, then select one activity from each critical path such that (a) each selected activity can still be crashed and (b) the total crash cost per period of all selected activities is the smallest. Crash each activity by one period. Note that the same activity may be common to more than one critical path.

STEP 4: Update all activity times. If the desired due date has been reached, stop. If not, return to Step 2.

We illustrate project crashing in Example 12.

Crash cost per period = (Crash cost - Normal cost) (Normal time - Crash time)

Crashing Shortening activity time in a network to reduce time on the critical path so total completion time is reduced.

LO6: Crash a project

AUTHOR COMMENT When a project needs to

be shortened, we want to find the most economical way

of “crashing” it.

72 PART 1 Introduction to Operations Management

EXAMPLE 12 � Project crashing to meet a deadline at Milwaukee Paper

Suppose that Milwaukee Paper Manufacturing has been given only 13 weeks (instead of 16 weeks) to install the new pollution control equipment or face a court-ordered shutdown. As you recall, the length of Joni Steinberg’s critical path was 15 weeks, but she must now complete the project in 13 weeks.

APPROACH � Steinberg needs to determine which activities to crash, and by how much, to meet this 13-week due date. Naturally, Steinberg is interested in speeding up the project by 2 weeks, at the least additional cost.

SOLUTION � The company’s normal and crash times, and normal and crash costs, are shown in Table 3.5. Note, for example, that activity B’s normal time is 3 weeks (the estimate used in computing the critical path), and its crash time is 1 week. This means that activity B can be shortened by up to 2 weeks if extra resources are provided. The cost of these additional resources is $4,000 (= difference between the crash cost of $34,000 and the normal cost of $30,000). If we assume that the crashing cost is linear over time (i.e., the cost is the same each week), activity B’s crash cost per week is $2,000 (= $4,000/2).

Time (Weeks) Cost ($)

Activity Normal Crash Normal Crash Crash Cost

per Week ($) Critical Path?

A 2 1 22,000 22,750 750 Yes B 3 1 30,000 34,000 2,000 No C 2 1 26,000 27,000 1,000 Yes D 4 3 48,000 49,000 1,000 No E 4 2 56,000 58,000 1,000 Yes F 3 2 30,000 30,500 500 No G 5 2 80,000 84,500 1,500 Yes H 2 1 16,000 19,000 3,000 Yes

� TABLE 3.5 Normal and Crash Data for Milwaukee Paper Manufacturing

This calculation for Activity B is shown in Figure 3.16. Crash costs for all other activities can be computed in a similar fashion.

1

$30,000

Activity Cost

$31,000

$32,000

$33,000

$34,000

2 3

Crash

Normal

Crash Cost/Week = Crash Cost – Normal Cost Normal Time – Crash Time

= $34,000 – $30,000 3 – 1

= $4,000 2 Weeks

= $2,000/Week

Time (Weeks)

Crash Time Normal Time

Normal Cost

Crash Cost

� FIGURE 3.16 Crash and Normal Times and Costs for Activity B

Steps 2, 3, and 4 can now be applied to reduce Milwaukee Paper’s project completion time at a min- imum cost. We show the project network for Milwaukee Paper again in Figure 3.17.

Chapter 3 Project Management 73

0 A

Activity Name

2

2

0 B

3

3 8 G

5

13

4 E

4

8 13 H

2

15

4 F

3

7

2 C

2

4

3 D

4

7

0 2

EFES

2 4

10 13

4 8

1 4 4 8 8 13

13 15

LS

Slack = 0 LF

Slack = 0

Slack = 6

Activity Duration

Slack = 1 Slack = 1 Slack = 0

Slack = 0 Slack = 0

0 Start

0

0

0 0

� FIGURE 3.17 Critical Path and Slack Times for Milwaukee Paper

The current critical path (using normal times) is Start-A-C-E-G-H, in which Start is just a dummy starting activity. Of these critical activities, activity A has the lowest crash cost per week of $750. Joni Steinberg should therefore crash activity A by 1 week to reduce the project completion time to 14 weeks. The cost is an additional $750. Note that activity A cannot be crashed any further, since it has reached its crash limit of 1 week.

At this stage, the original path Start-A-C-E-G-H remains critical with a completion time of 14 weeks. However, a new path Start-B-D-G-H is also critical now, with a completion time of 14 weeks. Hence, any further crashing must be done to both critical paths.

On each of these critical paths, we need to identify one activity that can still be crashed. We also want the total cost of crashing an activity on each path to be the smallest. We might be tempted to sim- ply pick the activities with the smallest crash cost per period in each path. If we did this, we would select activity C from the first path and activity D from the second path. The total crash cost would then be $2,000 (= $1,000 + $1,000).

But we spot that activity G is common to both paths. That is, by crashing activity G, we will simul- taneously reduce the completion time of both paths. Even though the $1,500 crash cost for activity G is higher than that for activities C and D, we would still prefer crashing G, since the total crashing cost will now be only $1,500 (compared with the $2,000 if we crash C and D).

INSIGHT � To crash the project down to 13 weeks, Steinberg should crash activity A by 1 week, and activity G by 1 week. The total additional cost will be $2,250 (= $750 + $1,500). This is important because many contracts for projects include bonuses or penalties for early or late finishes.

LEARNING EXERCISE � Say the crash cost for activity B is $31,000 instead of $34,000. How does this change the answer? [Answer: no change.]

RELATED PROBLEMS � 3.16, 3.18, 3.19, 3.20, 3.25

EXCEL OM Data File Ch03Ex12.xls can be found at www.pearsonhighered.com/heizer.

A CRITIQUE OF PERT AND CPM As a critique of our discussions of PERT, here are some of its features about which operations managers need to be aware:

Advantages

1. Especially useful when scheduling and controlling large projects. 2. Straightforward concept and not mathematically complex. 3. Graphical networks help highlight relationships among project activities. 4. Critical path and slack time analyses help pinpoint activities that need to be closely watched. 5. Project documentation and graphs point out who is responsible for various activities. 6. Applicable to a wide variety of projects. 7. Useful in monitoring not only schedules but costs as well.

AUTHOR COMMENT Every technique has shortfalls

as well as strengths. It is important to know both.

74 PART 1 Introduction to Operations Management

Limitations

1. Project activities have to be clearly defined, independent, and stable in their relationships. 2. Precedence relationships must be specified and networked together. 3. Time estimates tend to be subjective and are subject to fudging by managers who fear the

dangers of being overly optimistic or not pessimistic enough. 4. There is the inherent danger of placing too much emphasis on the longest, or critical, path.

Near-critical paths need to be monitored closely as well.

USING MICROSOFT PROJECT TO MANAGE PROJECTS The approaches discussed so far are effective for managing small projects. However, for large or complex projects, specialized project management software is much preferred. In this sec- tion, we provide a brief introduction to the most popular example of such specialized soft- ware, Microsoft Project. A time-limited version of Microsoft Project may be requested with this text.

Microsoft Project is extremely useful in drawing project networks, identifying the project schedule, and managing project costs and other resources.

Entering Data Let us again consider the Milwaukee Paper Manufacturing project. Recall that this project has eight activities (repeated in the margin). The first step is to define the activities and their precedence relationships. To do so, we select File|New to open a blank project. We type the project start date (as July 1), then enter all activity information (see Program 3.1). For each activ- ity (or task, as Microsoft Project calls it), we fill in the name and duration. The description of the activity is also placed in the Task Name column in Program 3.1. As we enter activities and dura- tions, the software automatically inserts start and finish dates.

The next step is to define precedence relationships between these activities. To do so, we enter the relevant activity numbers (e.g., 1, 2) in the Predecessors column.

On September 11, 2001, American Airlines Flight 77 slammed into the Pentagon. The world was shocked by this and the other terrorist attacks on the Twin Towers in New York City. One hundred and twenty-five people died when a large portion of the Pentagon was severely damaged. Among the first to react were construction workers renovating another portion of the Pentagon. Their heroism saved lives and eased suffering. Within hours of the disaster, heavy equipment began arriving on the site, accompanied by hundreds of volunteer construction workers driven by patriotism and pride.

Just four days after the attack, Walker Evey, named program manager for “Project Phoenix,” promised to rebuild the damaged portions of the Pentagon “faster than anyone has a right to expect . . . and to have people back in the damaged portion of the building, right where the plane hit, by September 11, 2002.”

Preliminary construction reports estimated it would take 3 to 4 years and $3/4 billion to rebuild. By directing the project with teamwork, handshake contracts, creativity, and ingenuity—not to mention emotional 20-hour days 6 to 7 days a week—Evey’s Project Phoenix met its psychological and physical goal. In less than 11 months, and for only $501 million, workers demolished and rebuilt

the damaged sections— 400,000 square feet of structure, 2 million square feet of offices, 50,000 tons of debris—using 1,000 construction workers from 80 companies. By September 9, 2002, over 600 military and civilian personnel were sitting at their desks in rebuilt Pentagon offices.

Outside, the blackened gash is long gone. Instead, some 4,000 pieces of limestone—mined from the same Indiana vein that the Pentagon’s original stone came from 65 years ago—have been placed on the building’s façade. For this impressive accomplishment, the Pentagon and Walker Evey were nominated for the Project Management Institute’s 2003 Project of the Year Award.

Sources: Knight-Ridder Tribune Business News (February 1, 2004): 1; ENR (September 2, 2002): 6; U.S. News & World Report (September 16, 2002): 35.

Milwaukee Paper Co. Activities

Time Prede- Activity (wks) cessors

A 2 — B 3 — C 2 A D 4 A, B E 4 C F 3 C G 5 D, E H 2 F, G

AUTHOR COMMENT Now that you understand the workings of PERT and CPM, you are ready to master this

useful program. Knowing such software gives you

an edge over others in the job market.

OM in Action � Rebuilding the Pentagon after 9/11

Chapter 3 Project Management 75

Project will finish on Friday, 10/14.

View has been zoomed out to show weeks.

Click here to select different views.

Gantt chart view.

� PROGRAM 3.1 Gantt Chart in Microsoft Project for Milwaukee Paper Manufacturing

Viewing the Project Schedule When all links have been defined, the complete project schedule can be viewed as a Gantt chart. We can also select View|Network Diagram to view the schedule as a project network (shown in Program 3.2). The critical path is shown in red on the screen in the network diagram. We can click on any of the activities in the project network to view details of the activities. Likewise, we can easily add or remove activities from the proj- ect network. Each time we do so, Microsoft Project automatically updates all start dates, finish dates, and the critical path(s). If desired, we can manually change the layout of the network (e.g., reposition activities) by changing the options in Format|Layout.

Critical path and activities (A, C, E, G, and H) are shown in red.

Click activity to see details regarding the activity.

Project network view.

� PROGRAM 3.2 Project Network in Microsoft Project for Milwaukee Paper Manufacturing

76 PART 1 Introduction to Operations Management

Using PERT/CPM, Taco Bell built and opened this fast-food restaurant in Compton, California, in just 2 days! Typically, 2 months are needed to accomplish such a task. Good project management means a faster revenue stream instead of money tied up in construction.

Programs 3.1 and 3.2 show that if Milwaukee Paper’s project starts July 1, it can be finished on October 14. The start and finish dates for all activities are also clearly identified. Project man- agement software, we see, can greatly simplify the scheduling procedures discussed earlier in this chapter.

PERT Analysis Microsoft Project does not perform the PERT probability calculations discussed in Examples 10 and 11. However, by clicking View|Toolbars|PERT Analysis, we can get Microsoft Project to allow us to enter optimistic, most likely, and pessimistic times for each activity. We can then choose to view Gantt charts based on any of these three times for each activity.

Tracking the Time Status of a Project Perhaps the biggest advantage of using software to manage projects is that it can track the progress of the project. In this regard, Microsoft Project has many features available to track individual activities in terms of time, cost, resource usage, and so on.

An easy way to track the time progress of tasks is to enter the percent of work completed for each task. One way to do so is to double-click on any activity in the Task Name column in Program 3.1. A window is displayed that allows us to enter the percent of work completed for each task.

The table in the margin provides data regarding the percent of each of Milwaukee Paper’s activities as of today. (Assume that today is Friday, August 12, i.e., the end of the sixth week of the project schedule.)

As shown in Program 3.3, the Gantt chart immediately reflects this updated information by drawing a thick line within each activity’s bar. The length of this line is proportional to the per- cent of that activity’s work that has been completed.

How do we know if we are on schedule? Notice that there is a vertical line shown on the Gantt chart corresponding to today’s date. Microsoft Project will automatically move this line to correspond with the current date. If the project is on schedule, we should see all bars to the left of today’s line indicate that they have been completed. For example, Program 3.3 shows that activities A, B, and C are on schedule. In contrast, activities D, E, and F appear to be behind schedule. These activities need to be investigated further to determine the reason for the delay. This type of easy visual information is what makes such software so useful in practice for proj- ect management.

We encourage you to load the copy of Microsoft Project that may be ordered with your text and to create a project network for work you are currently doing.

Pollution Project Percentage Completed

on Aug. 12

Activity Completed

A 100 B 100 C 100 D 10 E 20 F 20 G 0 H 0

Chapter 3 Project Management 77

Activity F is behind schedule, as are activities D and E.

Check mark indicates activity is 100% complete.

This is the indicator for today’s date (Aug. 12).

Bar indicates activity process.

� PROGRAM 3.3 Tracking Project Progress in Microsoft Project

PERT, CPM, and other scheduling techniques have proven to be valuable tools in controlling large and complex projects. With these tools, managers understand the status of each activ- ity and know which activities are critical and which have slack; in addition, they know where crashing makes the most sense. Projects are segmented into discrete activities, and specific resources are identified. This allows project managers to respond aggressively to global competition. Effective project management also allows firms to create products and services for global markets. As with Microsoft Project illustrated in this

chapter, a wide variety of software pack- ages are available to help managers han- dle network modeling problems.

PERT and CPM do not, however, solve all the project scheduling and man- agement problems. Good management prac- tices, clear responsibilities for tasks, and straightforward and timely reporting systems are also needed. It is important to remember that the models we described in this chapter are only tools to help managers make better decisions.

CHAPTER SUMMARY

Key Terms Project organization (p. 50) Work breakdown structure (WBS) (p. 52) Gantt charts (p. 53) Program evaluation and review technique

(PERT) (p. 55) Critical path method (CPM) (p. 55) Critical path (p. 55)

Activity-on-node (AON) (p. 55) Activity-on-arrow (AOA) (p. 55) Dummy activity (p. 56) Critical path analysis (p. 60) Forward pass (p. 61) Backward pass (p. 63) Slack time (p. 64)

Total slack (p. 65) Optimistic time (p. 66) Pessimistic time (p. 66) Most likely time (p. 66) Crashing (p. 71)

Using Software to Solve Project Management Problems In addition to the Microsoft Project software just illustrated, both Excel OM and POM for Windows are available to readers of this text as project management tools.

X Using Excel OM Excel OM has a Project Scheduling module. Program 3.4 uses the data from the Milwaukee Paper Manufacturing example in this chapter (see Examples 4 and 5). The PERT/CPM analysis also handles activities with three time estimates.

78 PART 1 Introduction to Operations Management

Early start is the maximum of the computations below.

Late finishes depend on the tasks that precede the given task. The late finish is the earliest of the dependencies.

Enter the task names, times, and the names of the precedences. Be careful that the precedence names match the task names.

EF = ES + task time.

Late start is the late finish (from below) minus the task time.

� PROGRAM 3.4 Excel OM’s Use of Milwaukee Paper Manufacturing’s Data from Examples 4 and 5

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 3.1 Construct an AON network based on the following:

Immediate Activity Predecessor(s)

A — B — C — D A, B E C

� SOLUTION

End

D

E

B

A

C

Start

� SOLVED PROBLEM 3.2 Insert a dummy activity and event to correct the following AOA network:

� SOLUTION Since we cannot have two activities starting and ending at the same node, we add the following dummy activity and dummy event to obtain the correct AOA network:

5 Dummy activity

2 3

4

1

Dummy event

(0 days)

3 d ays

5 days

3 days

5 days

2

3

4

51

P Using POM for Windows POM for Window’s Project Scheduling module can also find the expected project completion time for a CPM and PERT network with either one or three time estimates. POM for Windows also performs project crashing. For further details refer to Appendix IV.

Chapter 3 Project Management 79

� SOLVED PROBLEM 3.3 Calculate the critical path, project completion time T, and project variance based on the following AON network information:

Activity Time Variance ES EF LS LF Slack

A 2 0 2 0 2 0

B 3 0 3 1 4 1

C 2 2 4 2 4 0

D 4 3 7 4 8 1

E 4 4 8 4 8 0

F 3 4 7 10 13 6

G 5 8 13 8 13 0 1 6

1 6

2 6

4 6

4 6

2 6

2 6

s2p,

� SOLUTION We conclude that the critical path is Start-A-C-E-G-End:

and

Variances on the critical path = 2

6 +

4

6 +

2

6 +

1

6 =

9

6 = 1.5s2p = ©

Total project time = T = 2 + 2 + 4 + 5 = 13

Start End E G

A

B

FC

D

Expected Time Activity (in weeks) Variance

A 2

B 3

C 5

D 9

E 5 1

F 5

G 2 1

9

1

9

1

9

1

9

1

9

1

9

� SOLVED PROBLEM 3.4 To complete the wing assembly for an experimental aircraft, Jim Gilbert has laid out the seven major activities involved. These activities have been labeled A through G in the following table, which also shows their estimated completion times (in weeks) and immediate predecessors. Determine the expected time and vari- ance for each activity:

Immediate Activity a m b Predecessors

A 1 2 3 —

B 2 3 4 —

C 4 5 6 A

D 8 9 10 B

E 2 5 8 C, D

F 4 5 6 D

G 1 2 3 E

� SOLUTION Expected times and variances can be computed using Equations (3-6) and (3-7) presented on page 66 in this chapter. The results are summarized in the following table:

80 PART 1 Introduction to Operations Management

� SOLVED PROBLEM 3.5 Referring to Solved Problem 3.4, now Jim Gilbert would like to determine the critical path for the entire wing assembly project as well as the expected completion time for the total project. In addi- tion, he would like to determine the earliest and latest start and fin- ish times for all activities.

� SOLUTION The AON network for Gilbert’s project is shown in Figure 3.18. Note that this project has multiple activities (A and B) with no immediate predecessors, and multiple activities (F and G) with no successors. Hence, in addition to a unique starting activity (Start), we have included a unique finishing activity (End) for the project.

Figure 3.18 shows the earliest and latest times for all activi- ties. The results are also summarized in the following table:

Activity Time

Activity ES EF LS LF Slack

A 0 2 5 7 5 B 0 3 0 3 0 C 2 7 7 12 5 D 3 12 3 12 0 E 12 17 12 17 0 F 12 17 14 19 2 G 17 19 17 19 0

Expected project length � 19 weeks

Variance of the critical path � 1.333

Standard deviation of the critical path � 1.155 weeks

The activities along the critical path are B, D, E, and G. These activities have zero slack as shown in the table.

Activity Duration

Dummy Ending Activity

17 G

2

19

17 190 Start

0

0

0 A

Activity Name

2

2

0 B

3

3 12 F

5

17

19 End

0

19

12 E

5

172 C

5

7

3 D

9

12

0 0

5 7 7 12 12 17

0 3 3 12 14 19

19 19 Dummy Starting Activity

ES EF

LS LF

� FIGURE 3.18 Critical Path for Solved Problem 3.5

T = 62Due date = 44

� SOLVED PROBLEM 3.6 The following information has been computed from a project:

What is the probability that the project will be completed 18 weeks before its expected completion date?

� SOLUTION The desired completion date is 18 weeks before the expected com- pletion date, 62 weeks. The desired completion date is 44 (or 62 – 18) weeks:

The normal curve appears as follows:

= 44 - 62

9 =

- 18 9

= - 2.0

Z = Due date - Expected completion date

sp

sp = 2Project variance

Project variance (s2p) = 81 Expected total project time = T = 62 weeks

Because the normal curve is symmetrical and table values are calculated for positive values of Z, the area desired is equal to 1 – (table value). For the area from the table is .97725. Thus, the area corresponding to a Z value of –2.0 is .02275 (or 1 – .97725). Hence, the probability of completing the project 18 weeks before the expected completion date is approximately .023, or 2.3%.

Z = + 2.0,

Chapter 3 Project Management 81

� SOLVED PROBLEM 3.7 Determine the least cost of reducing the project completion date by 3 months based on the following information:

� SOLUTION The first step in this problem is to compute ES, EF, LS, LF, and slack for each activity:

Activity ES EF LS LF Slack

A 0 6 9 15 9 B 0 7 0 7 0 C 6 13 15 22 9 D 7 13 7 13 0 E 13 22 13 22 0

Start

B

C

D E

End

A

Normal Crash Time Time Normal Crash

Activity (months) (months) Cost Cost

A 6 4 $2,000 $2,400 B 7 5 3,000 3,500 C 7 6 1,000 1,300 D 6 4 2,000 2,600 E 9 8 8,800 9,000

Normal Crash Cost – Crash Time – Normal Cost/ Critical

Activity Crash Time Cost Month Path?

A 2 $400 $200/month No B 2 500 250/month Yes C 1 300 300/month No D 2 600 300/month Yes E 1 200 200/month Yes

Finally, we will select that activity on the critical path with the smallest crash cost/month. This is activity E. Thus, we can reduce the total project completion date by 1 month for an additional cost of $200. We still need to reduce the project completion date by 2 more months. This reduction can be achieved at least cost along the critical path by reducing activity B by 2 months for an additional cost of $500. Neither reduction has an effect on noncritical activi- ties. This solution is summarized in the following table:

Activity Months Reduced Cost

E 1 $200 B 2 500

Total: $700

The critical path consists of activities B, D, and E. Next, crash cost/month must be computed for each activity:

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Shale Oil Company: This oil refinery must shut down for maintenance of a major piece of equipment.

Bibliography

Balakrishnan, R., B. Render, and R. M. Stair. Managerial Decision Modeling with Spreadsheets, 2nd ed. Upper Saddle River, NJ: Prentice Hall (2007).

Cleland, D. L., and L. R. Ireland. Project Management, 5th ed. New York: McGraw-Hill/Irwin (2007).

Gray, C. L., and E. W. Larson. Project Management with MS Project. New York: McGraw-Hill/Irwin (2008).

Helgadottir, Hilder. “The Ethical Dimension of Project Management.” International Journal of Project Management 26, no. 7 (October 2008): 743.

Karlos, A., et al. “Foundations of Project Management.” International Journal of Project Management 27, no. 1 (January 2009): 1.

Kerzner, H. Project Management Case Studies, 3rd ed. New York: Wiley (2009).

Kumar, P. P. “Effective Use of Gantt Chart for Managing Large-Scale Projects.” Cost Engineering 47, no. 7 (July 2005): 14–21.

Ling, F. Y. Y., et al. “Key Project Management Practices Affecting Singaporean Firms’ Project Performance in China.” International Journal of Project Management 27, no. 1 (January 2009): 59.

Matta, N. F., and R. N. Ashkenas. “Why Good Projects Fail Anyways.” Harvard Business Review (September 2003): 109–114.

Maylor, Harvey. Project Management, 4th ed. Upper Saddle River, NJ: Prentice Hall (2008).

Meredith, J. R., and S. Mantel. Project Management, 7th ed. New York: Wiley (2008).

Oates, David. “Understanding and Solving the Causes of Project Failure.” Knowledge Management Review 9, no. 5 (May–June 2006): 5.

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall (2009).

Verzuh, Eric. The Fast Forward MBA in Project Management. New York: Wiley (2008).

Wysocki, R. K. Effective Project Management, 5th ed. New York: Wiley (2009).

This page intentionally left blank

Forecasting

83

Chapter Outline

GLOBAL COMPANY PROFILE: WALT DISNEY PARKS & RESORTS

What Is Forecasting? 86

The Strategic Importance of Forecasting 87

Seven Steps in the Forecasting System 88

Forecasting Approaches 89

Time-Series Forecasting 90

Associative Forecasting Methods: Regression and Correlation Analysis 108

Monitoring and Controlling Forecasts 113

Forecasting in the Service Sector 116

GLOBAL COMPANY PROFILE: WALT DISNEY PARKS & RESORTS

FORECASTING PROVIDES A COMPETITIVE ADVANTAGE FOR DISNEY

W hen it comes to the world’s most

respected global brands, Walt Disney

Parks & Resorts is a visible leader.

Although the monarch of this magic

kingdom is no man but a mouse—Mickey Mouse—it’s

CEO Robert Iger who daily manages the

entertainment giant.

Disney’s global portfolio includes Hong Kong

Disneyland (opened 2005), Disneyland Paris (1992),

and Tokyo Disneyland (1983). But it is Walt Disney

World Resort (in Florida) and Disneyland Resort (in

California) that drive profits in this $43 billion

corporation, which is ranked 54th in the Fortune 500

and 79th in the Financial Times Global 500.

Revenues at Disney are all about people—how many

visit the parks and how they spend money while there.

When Iger receives a daily report from his four theme

parks near Orlando, the report contains only two numbers:

the forecast of yesterday’s attendance at the parks

(Magic Kingdom, Epcot, Disney’s Animal Kingdom,

Disney-MGM Studios, Typhoon Lagoon, and Blizzard

Beach) and the actual attendance. An error close to zero

is expected. Iger takes his forecasts very seriously.

The giant sphere is the symbol of Epcot, one of Disney’s four Orlando parks, for which forecasts of meals, lodging, entertainment, and transportation must be made. This Disney monorail moves guests among parks and the 20 hotels on the massive 47-square-mile property (about the size of San Francisco and twice the size of Manhattan).

Mickey and Minnie Mouse, and other Disney characters, with Cinderella Castle in the background, provide the public image of Disney to the world. Forecasts drive the work schedules of 58,000 cast members working at Walt Disney World Resort near Orlando.

84

The forecasting team at Walt Disney World Resort

doesn’t just do a daily prediction, however, and Iger is

not its only customer. The team also provides daily,

weekly, monthly, annual, and 5-year forecasts to the

labor management, maintenance, operations, finance,

and park scheduling departments. Forecasters use

judgmental models, econometric models, moving-

average models, and regression analysis.

With 20% of Walt Disney World Resort’s customers

coming from outside the United States, its economic

model includes such variables as gross domestic

product (GDP), cross-exchange rates, and arrivals into

the U.S. Disney also uses 35 analysts and 70 field

people to survey 1 million people each year. The

surveys, administered to guests at the parks and its

20 hotels, to employees, and to travel industry

professionals, examine future travel plans and

experiences at the parks. This helps forecast not only

attendance but behavior at each ride (e.g., how long

people will wait, how many times they will ride). Inputs to

the monthly forecasting model include airline specials,

speeches by the chair of the Federal Reserve, and

Wall Street trends. Disney even monitors 3,000 school

districts inside and outside the U.S. for holiday/vacation

schedules. With this approach, Disney’s 5-year

attendance forecast yields just a 5% error on average.

Its annual forecasts have a 0% to 3% error.

Attendance forecasts for the parks drive a whole slew

of management decisions. For example, capacity on any

day can be increased by opening at 8 A.M. instead of the

usual 9 A.M., by opening more shows or rides, by adding

more food/beverage carts (9 million hamburgers and 50

million Cokes are sold per year!), and by bringing in more

employees (called “cast members”). Cast members are

scheduled in 15-minute intervals throughout the parks for

flexibility. Demand can be managed by limiting the

number of guests admitted to the parks, with the “FAST

PASS” reservation system, and by shifting crowds from

rides to more street parades.

At Disney, forecasting is a key driver in the

company’s success and competitive advantage.

WALT DISNEY PARKS & RESORTS �

� Disney uses characters such as Minnie Mouse to entertain guests when lines are forecast to be long. On slow days, Disney calls fewer cast members to work.

� A daily forecast of attendance is made by adjusting Disney’s annual operating plan for weather forecasts, the previous day’s crowds, conventions, and seasonal variations. One of the two water parks at Walt Disney World Resort, Typhoon Lagoon, is shown here.

� Forecasts are critical to making sure rides are not overcrowded. Disney is good at “managing demand” with techniques such as adding more street activities to reduce long lines for rides.

85

86 PART 1 Introduction to Operations Management

WHAT IS FORECASTING? Every day, managers like those at Disney make decisions without knowing what will happen in the future. They order inventory without knowing what sales will be, purchase new equipment despite uncertainty about demand for products, and make investments without knowing what profits will be. Managers are always trying to make better estimates of what will happen in the future in the face of uncertainty. Making good estimates is the main pur- pose of forecasting.

In this chapter, we examine different types of forecasts and present a variety of forecasting models. Our purpose is to show that there are many ways for managers to forecast. We also pro- vide an overview of business sales forecasting and describe how to prepare, monitor, and judge the accuracy of a forecast. Good forecasts are an essential part of efficient service and manufac- turing operations.

Forecasting is the art and science of predicting future events. Forecasting may involve taking historical data and projecting them into the future with some sort of mathematical model. It may be a subjective or intuitive prediction. Or it may involve a combination of these—that is, a math- ematical model adjusted by a manager’s good judgment.

As we introduce different forecasting techniques in this chapter, you will see that there is sel- dom one superior method. What works best in one firm under one set of conditions may be a complete disaster in another organization, or even in a different department of the same firm. In addition, you will see that there are limits as to what can be expected from forecasts. They are seldom, if ever, perfect. They are also costly and time-consuming to prepare and monitor.

Few businesses, however, can afford to avoid the process of forecasting by just waiting to see what happens and then taking their chances. Effective planning in both the short run and long run depends on a forecast of demand for the company’s products.

Forecasting Time Horizons A forecast is usually classified by the future time horizon that it covers. Time horizons fall into three categories:

1. Short-range forecast: This forecast has a time span of up to 1 year but is generally less than 3 months. It is used for planning purchasing, job scheduling, workforce levels, job assign- ments, and production levels.

2. Medium-range forecast: A medium-range, or intermediate, forecast generally spans from 3 months to 3 years. It is useful in sales planning, production planning and budgeting, cash budgeting, and analysis of various operating plans.

3. Long-range forecast: Generally 3 years or more in time span, long-range forecasts are used in planning for new products, capital expenditures, facility location or expansion, and research and development.

Medium and long-range forecasts are distinguished from short-range forecasts by three features:

1. First, intermediate and long-run forecasts deal with more comprehensive issues and support management decisions regarding planning and products, plants, and processes. Implement- ing some facility decisions, such as GM’s decision to open a new Brazilian manufacturing plant, can take 5 to 8 years from inception to completion.

2. Second, short-term forecasting usually employs different methodologies than longer-term forecasting. Mathematical techniques, such as moving averages, exponential smoothing,

LO1: Understand the three time horizons and which models apply for each 86

LO2: Explain when to use each of the four qualitative models 89

LO3: Apply the naive, moving-average, exponential smoothing, and trend methods 92

Chapter 4 Learning Objectives LO4: Compute three measures of forecast

accuracy 95

LO5: Develop seasonal indices 104

LO6: Conduct a regression and correlation analysis 108

LO7: Use a tracking signal 114

Forecasting The art and science of predicting future events.

LO1: Understand the three time horizons and which models apply for each

AUTHOR COMMENT An increasingly complex world economy makes forecasting challenging.

Chapter 4 Forecasting 87

and trend extrapolation (all of which we shall examine shortly), are common to short-run projections. Broader, less quantitative methods are useful in predicting such issues as whether a new product, like the optical disk recorder, should be introduced into a company’s product line.

3. Finally, as you would expect, short-range forecasts tend to be more accurate than longer- range forecasts. Factors that influence demand change every day. Thus, as the time horizon lengthens, it is likely that forecast accuracy will diminish. It almost goes without saying, then, that sales forecasts must be updated regularly to maintain their value and integrity. After each sales period, forecasts should be reviewed and revised.

The Influence of Product Life Cycle Another factor to consider when developing sales forecasts, especially longer ones, is product life cycle. Products, and even services, do not sell at a constant level throughout their lives. Most successful products pass through four stages: (1) introduction, (2) growth, (3) maturity, and (4) decline.

Products in the first two stages of the life cycle (such as virtual reality and the Boeing 787 Dreamliner) need longer forecasts than those in the maturity and decline stages (such as large SUVs and skateboards). Forecasts that reflect life cycle are useful in projecting dif- ferent staffing levels, inventory levels, and factory capacity as the product passes from the first to the last stage. The challenge of introducing new products is treated in more detail in Chapter 5.

Types of Forecasts Organizations use three major types of forecasts in planning future operations:

1. Economic forecasts address the business cycle by predicting inflation rates, money sup- plies, housing starts, and other planning indicators.

2. Technological forecasts are concerned with rates of technological progress, which can result in the birth of exciting new products, requiring new plants and equipment.

3. Demand forecasts are projections of demand for a company’s products or services. These forecasts, also called sales forecasts, drive a company’s production, capacity, and schedul- ing systems and serve as inputs to financial, marketing, and personnel planning.

Economic and technological forecasting are specialized techniques that may fall outside the role of the operations manager. The emphasis in this book will therefore be on demand forecasting.

THE STRATEGIC IMPORTANCE OF FORECASTING Good forecasts are of critical importance in all aspects of a business: The forecast is the only esti- mate of demand until actual demand becomes known. Forecasts of demand therefore drive deci- sions in many areas. Let’s look at the impact of product demand forecast on three activities: (1) human resources, (2) capacity, and (3) supply-chain management.

Human Resources Hiring, training, and laying off workers all depend on anticipated demand. If the human resources department must hire additional workers without warning, the amount of training declines and the quality of the workforce suffers. A large Louisiana chemical firm almost lost its biggest customer when a quick expansion to around-the-clock shifts led to a total breakdown in quality control on the second and third shifts.

Capacity When capacity is inadequate, the resulting shortages can lead to loss of customers and market share. This is exactly what happened to Nabisco when it underestimated the huge demand for its new low-fat Snackwell Devil’s Food Cookies. Even with production lines working overtime, Nabisco could not keep up with demand, and it lost customers. As the photo on the next page shows, Amazon made the same error with its Kindle. On the other hand, when excess capacity exists, costs can skyrocket.

Economic forecasts Planning indicators that are valuable in helping organizations prepare medium- to long-range forecasts.

Technological forecasts Long-term forecasts concerned with the rates of technological progress.

Demand forecasts Projections of a company’s sales for each time period in the planning horizon.

VIDEO 4.1 Forecasting at Hard Rock Cafe

88 PART 1 Introduction to Operations Management

Supply-Chain Management Good supplier relations and the ensuing price advantages for materials and parts depend on accu- rate forecasts. In the global marketplace, where expensive components for Boeing 787 jets are manufactured in dozens of countries, coordination driven by forecasts is critical. Scheduling transportation to Seattle for final assembly at the lowest possible cost means no last-minute sur- prises that can harm already-low profit margins.

SEVEN STEPS IN THE FORECASTING SYSTEM Forecasting follows seven basic steps. We use Disney World, the focus of this chapter’s Global Company Profile, as an example of each step:

1. Determine the use of the forecast: Disney uses park attendance forecasts to drive decisions about staffing, opening times, ride availability, and food supplies.

2. Select the items to be forecasted: For Disney World, there are six main parks. A forecast of daily attendance at each is the main number that determines labor, maintenance, and scheduling.

3. Determine the time horizon of the forecast: Is it short, medium, or long term? Disney develops daily, weekly, monthly, annual, and 5-year forecasts.

4. Select the forecasting model(s): Disney uses a variety of statistical models that we shall dis- cuss, including moving averages, econometrics, and regression analysis. It also employs judgmental, or nonquantitative, models.

5. Gather the data needed to make the forecast: Disney’s forecasting team employs 35 analysts and 70 field personnel to survey 1 million people/businesses every year. Disney also uses a firm called Global Insights for travel industry forecasts and gathers data on exchange rates, arrivals into the U.S., airline specials, Wall Street trends, and school vacation schedules.

6. Make the forecast. 7. Validate and implement the results: At Disney, forecasts are reviewed daily at the highest

levels to make sure that the model, assumptions, and data are valid. Error measures are applied; then the forecasts are used to schedule personnel down to 15-minute intervals.

These seven steps present a systematic way of initiating, designing, and implementing a forecast- ing system. When the system is to be used to generate forecasts regularly over time, data must be routinely collected. Then actual computations are usually made by computer.

Regardless of the system that firms like Disney use, each company faces several realities:

• Forecasts are seldom perfect. This means that outside factors that we cannot predict or control often impact the forecast. Companies need to allow for this reality.

• Most forecasting techniques assume that there is some underlying stability in the system. Consequently, some firms automate their predictions using computerized forecasting soft- ware, then closely monitor only the product items whose demand is erratic.

• Both product family and aggregated forecasts are more accurate than individual product fore- casts. Disney, for example, aggregates daily attendance forecasts by park. This approach helps balance the over- and underpredictions of each of the six attractions.

Even vaunted Amazon can make a major forecasting error, as it did in the case of its much-hyped Kindle e-book reader. With the holiday shopping season at hand, Amazon’s Web page announced “Due to heavy customer demand, Kindle is sold out . . . ships in 11 to 13 weeks.” Underforecasting demand for the product was the culprit, according to the Taiwanese manufacturer Prime View, which has since ramped up production.

Chapter 4 Forecasting 89

FORECASTING APPROACHES There are two general approaches to forecasting, just as there are two ways to tackle all decision modeling. One is a quantitative analysis; the other is a qualitative approach. Quantitative fore- casts use a variety of mathematical models that rely on historical data and/or associative variables to forecast demand. Subjective or qualitative forecasts incorporate such factors as the decision maker’s intuition, emotions, personal experiences, and value system in reaching a fore- cast. Some firms use one approach and some use the other. In practice, a combination of the two is usually most effective.

Overview of Qualitative Methods In this section, we consider four different qualitative forecasting techniques:

1. Jury of executive opinion: Under this method, the opinions of a group of high-level experts or managers, often in combination with statistical models, are pooled to arrive at a group estimate of demand. Bristol-Myers Squibb Company, for example, uses 220 well-known research scientists as its jury of executive opinion to get a grasp on future trends in the world of medical research.

2. Delphi method: There are three different types of participants in the Delphi method: decision makers, staff personnel, and respondents. Decision makers usually consist of a group of 5 to 10 experts who will be making the actual forecast. Staff personnel assist decision makers by preparing, distributing, collecting, and summarizing a series of questionnaires and survey results. The respondents are a group of people, often located in different places, whose judg- ments are valued. This group provides inputs to the decision makers before the forecast is made.

The state of Alaska, for example, has used the Delphi method to develop its long-range eco- nomic forecast. An amazing 90% of the state’s budget is derived from 1.5 million barrels of oil pumped daily through a pipeline at Prudhoe Bay. The large Delphi panel of experts had to rep- resent all groups and opinions in the state and all geographic areas. Delphi was the perfect forecasting tool because panelist travel could be avoided. It also meant that leading Alaskans could participate because their schedules were not affected by meetings and distances.

3. Sales force composite: In this approach, each salesperson estimates what sales will be in his or her region. These forecasts are then reviewed to ensure that they are realistic. Then they are combined at the district and national levels to reach an overall forecast. A variation of this approach occurs at Lexus, where every quarter Lexus dealers have a “make meeting.” At this meeting, they talk about what is selling, in what colors, and with what options, so the factory knows what to build.

4. Consumer market survey: This method solicits input from customers or potential cus- tomers regarding future purchasing plans. It can help not only in preparing a forecast but also in improving product design and planning for new products. The consumer market survey and sales force composite methods can, however, suffer from overly optimistic forecasts that arise from customer input. The 2001 crash of the telecommunication indus- try was the result of overexpansion to meet “explosive customer demand.” Where did these data come from? Oplink Communications, a Nortel Networks supplier, says its “company forecasts over the last few years were based mainly on informal conversations with customers.”1

Overview of Quantitative Methods Five quantitative forecasting methods, all of which use historical data, are described in this chap- ter. They fall into two categories:

1. Naive approach 2. Moving averages 3. Exponential smoothing time-series models

4. Trend projection 5. Linear regression associative model

Quantitative forecasts Forecasts that employ mathematical modeling to forecast demand.

Qualitative forecasts Forecasts that incorporate such factors as the decision maker’s intuition, emotions, personal experiences, and value system.

Jury of executive opinion A forecasting technique that uses the opinion of a small group of high-level managers to form a group estimate of demand.

1“Lousy Sales Forecasts Helped Fuel the Telecom Mess,” The Wall Street Journal (July 9, 2001): B1–B4.

LO2: Explain when to use each of the four qualitative models

Delphi method A forecasting technique using a group process that allows experts to make forecasts.

Sales force composite A forecasting technique based on salespersons’ estimates of expected sales.

Consumer market survey A forecasting method that solicits input from customers or potential customers regarding future purchasing plans.

AUTHOR COMMENT Forecasting is part science

and part art.

90 PART 1 Introduction to Operations Management

Time-Series Models Time-series models predict on the assumption that the future is a func- tion of the past. In other words, they look at what has happened over a period of time and use a series of past data to make a forecast. If we are predicting sales of lawn mowers, we use the past sales for lawn mowers to make the forecasts.

Associative Models Associative models, such as linear regression, incorporate the variables or factors that might influence the quantity being forecast. For example, an associative model for lawn mower sales might use factors such as new housing starts, advertising budget, and competi- tors’ prices.

TIME-SERIES FORECASTING A time series is based on a sequence of evenly spaced (weekly, monthly, quarterly, and so on) data points. Examples include weekly sales of Nike Air Jordans, quarterly earnings reports of Microsoft stock, daily shipments of Coors beer, and annual consumer price indices. Forecasting time-series data implies that future values are predicted only from past values and that other vari- ables, no matter how potentially valuable, may be ignored.

Decomposition of a Time Series Analyzing time series means breaking down past data into components and then projecting them forward. A time series has four components:

1. Trend is the gradual upward or downward movement of the data over time. Changes in income, population, age distribution, or cultural views may account for movement in trend.

2. Seasonality is a data pattern that repeats itself after a period of days, weeks, months, or quar- ters. There are six common seasonality patterns:

Time series A forecasting technique that uses a series of past data points to make a forecast.

Naive approach A forecasting technique which assumes that demand in the next period is equal to demand in the most recent period.

Number of Period of Pattern “Season” Length “Seasons” in Pattern

Week Day 7 Month Week 4–4 Month Day 28–31 Year Quarter 4 Year Month 12 Year Week 52

1 2

Restaurants and barber shops, for example, experience weekly seasons, with Saturday being the peak of business. See the OM in Action box “Forecasting at Olive Garden and Red Lobster.” Beer distributors forecast yearly patterns, with monthly seasons. Three “seasons”—May, July, and September—each contain a big beer-drinking holiday.

3. Cycles are patterns in the data that occur every several years. They are usually tied into the business cycle and are of major importance in short-term business analysis and planning. Predicting business cycles is difficult because they may be affected by political events or by international turmoil.

4. Random variations are “blips” in the data caused by chance and unusual situations. They follow no discernible pattern, so they cannot be predicted.

Figure 4.1 illustrates a demand over a 4-year period. It shows the average, trend, seasonal com- ponents, and random variations around the demand curve. The average demand is the sum of the demand for each period divided by the number of data periods.

Naive Approach The simplest way to forecast is to assume that demand in the next period will be equal to demand in the most recent period. In other words, if sales of a product—say, Nokia cell phones—were 68 units in January, we can forecast that February’s sales will also be 68 phones. Does this make any sense? It turns out that for some product lines, this naive approach is the most cost-effective

AUTHOR COMMENT Here is the meat of this

chapter. We now show you a wide variety of models that

use time-series data.

AUTHOR COMMENT The peak “seasons” for sales

of Frito-Lay chips are the Super Bowl, Memorial Day, Labor Day, and the Fourth

of July.

Chapter 4 Forecasting 91

and efficient objective forecasting model. At least it provides a starting point against which more sophisticated models that follow can be compared.

Moving Averages A moving-average forecast uses a number of historical actual data values to generate a forecast. Moving averages are useful if we can assume that market demands will stay fairly steady over time. A 4-month moving average is found by simply summing the demand during the past 4 months and dividing by 4. With each passing month, the most recent month’s data are added to the sum of the previous 3 months’ data, and the earliest month is dropped. This practice tends to smooth out short-term irregularities in the data series.

Mathematically, the simple moving average (which serves as an estimate of the next period’s demand) is expressed as

(4-1)

where n is the number of periods in the moving average—for example, 4, 5, or 6 months, respec- tively, for a 4-, 5-, or 6-period moving average.

Moving average = © demand in previous n periods

n

Moving averages A forecasting method that uses an average of the n most recent periods of data to forecast the next period.

Seasonal peaks

Random variation

Actual demand line

Average demand over 4 years

Trend component

1

D e m

a n

d f

o r

p ro

d u

c t

o r

s e rv

ic e

Time (years) 2 3 4

� FIGURE 4.1 Demand Charted over 4 Years with a Growth Trend and Seasonality Indicated

It’s Friday night in the college town of Gainesville, Florida, and the local Olive Garden restaurant is humming. Customers may wait an average of 30 minutes for a table, but they can sample new wines and cheeses and admire scenic paintings of Italian villages on the Tuscan-style restaurant’s walls. Then comes dinner with portions so huge that many people take home a doggie bag. The typical bill: under $15 per person.

Crowds flock to the Darden restaurant chain’s Olive Garden, Red Lobster, Seasons 52, and Bahama Breeze for value and consistency—and they get it.

Every night, Darden’s computers crank out forecasts that tell store managers what demand to anticipate the next day. The forecasting software generates a total meal forecast and breaks that down into specific menu items. The system tells a manager, for instance, that if 625 meals will be served the next day, “you will serve these items in these quantities. So before you go home, pull 25 pounds of shrimp and 30 pounds of crab out, and tell your operations

people to prepare 42 portion packs of chicken, 75 scampi dishes, 8 stuffed flounders, and so on.” Managers often fine tune the quantities based on local conditions, such as weather or a convention, but they know what their customers are going to order.

By relying on demand history, the forecasting system has cut millions of dollars of waste out of the system. The forecast also reduces labor costs by providing the necessary information for improved scheduling. Labor costs decreased almost a full percent in the first year, translating into additional millions in savings for the Darden chain. In the low-margin restaurant business, every dollar counts.

Source: Interviews with Darden executives.

OM in Action � Forecasting at Olive Garden and Red Lobster

AUTHOR COMMENT Forecasting is easy when

demand is stable. But with trend, seasonality, and cycles

considered, the job is a lot more interesting.

EXAMPLE 1 � Determining the moving average

Donna’s Garden Supply wants a 3-month moving-average forecast, including a forecast for next January, for shed sales.

APPROACH � Storage shed sales are shown in the middle column of the table below. A 3-month moving average appears on the right.

92 PART 1 Introduction to Operations Management

When a detectable trend or pattern is present, weights can be used to place more emphasis on recent values. This practice makes forecasting techniques more responsive to changes because more recent periods may be more heavily weighted. Choice of weights is somewhat arbitrary because there is no set formula to determine them. Therefore, deciding which weights to use requires some experience. For example, if the latest month or period is weighted too heavily, the forecast may reflect a large unusual change in the demand or sales pattern too quickly.

A weighted moving average may be expressed mathematically as:

(4-2)

Example 2 shows how to calculate a weighted moving average.

Weighted moving average = © (Weight for period n)(Demand in period n)

© Weights

SOLUTION � The forecast for December is . To project the demand for sheds in the coming January, we sum the October, November, and December sales and divide by 3: January forecast

INSIGHT � Management now has a forecast that averages sales for the last 3 months. It is easy to use and understand.

LEARNING EXERCISE � If actual sales in December were 18 (rather than 14), what is the new January forecast? [Answer: ]

RELATED PROBLEMS � 4.1a, 4.2b, 4.5a, 4.6, 4.8a,b, 4.10a, 4.13b, 4.15, 4.47

EXCEL OM Data File Ch04Ex1.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 4.1 This example is further illustrated in Active Model 4.1 at www.pearsonhighered.com/heizer.

1713.

= (18 + 16 + 14)/3 = 16.

20 23

Example 1 shows how moving averages are calculated.

Month Actual Shed Sales 3-Month Moving Average

January 10

February 12

March 13

April 16 (10 + 12 + 13)/3 =

May 19 (12 + 13 + 16)/3 =

June 23 (13 + 16 + 19)/3 = 16

July 26 (16 + 19 + 23)/3 =

August 30 (19 + 23 + 26)/3 =

September 28 (23 + 26 + 30)/3 =

October 18 (26 + 30 + 28)/3 = 28

November 16 (30 + 28 + 18)/3 =

December 14 (28 + 18 + 16)/3 = 2023

2513

2613

2223

1913

1323

1123

LO3: Apply the naive, moving-average, exponential smoothing, and trend methods

Chapter 4 Forecasting 93

� EXAMPLE 2 Determining the weighted moving average

Donna’s Garden Supply (see Example 1) wants to forecast storage shed sales by weighting the past 3 months, with more weight given to recent data to make them more significant.

APPROACH � Assign more weight to recent data, as follows:

SOLUTION � The results of this weighted-average forecast are as follows:

INSIGHT � In this particular forecasting situation, you can see that more heavily weighting the lat- est month provides a much more accurate projection.

LEARNING EXERCISE � If the assigned weights were 0.50, 0.33, and 0.17 (instead of 3, 2, and 1) what is the forecast for January’s weighted moving average? Why? [Answer: There is no change. These are the same relative weights. Note that weights = 1 now, so there is no need for a denominator. When the weights sum to 1, calculations tend to be simpler.

RELATED PROBLEMS � 4.1b, 4.2c, 4.5c, 4.6, 4.7, 4.10b

EXCEL OM Data File Ch04Ex2.xls can be found at www.pearsonhighered.com/heizer.

©

Both simple and weighted moving averages are effective in smoothing out sudden fluctuations in the demand pattern to provide stable estimates. Moving averages do, however, present three problems:

1. Increasing the size of n (the number of periods averaged) does smooth out fluctuations bet- ter, but it makes the method less sensitive to real changes in the data.

2. Moving averages cannot pick up trends very well. Because they are averages, they will always stay within past levels and will not predict changes to either higher or lower levels. That is, they lag the actual values.

3. Moving averages require extensive records of past data.

Figure 4.2, a plot of the data in Examples 1 and 2, illustrates the lag effect of the moving-average models. Note that both the moving-average and weighted-moving-average lines lag the actual demand. The weighted moving average, however, usually reacts more quickly to demand

Weights Applied Period

3 Last month 2 Two months ago 1 Three months ago 6 Sum of weights

Forecast for this month =

3 * Sales last mo. + 2 * Sales 2 mos. ago + 1 * Sales 3 mos. ago Sum of the weights

3-Month Weighted Month Actual Shed Sales Moving Average

January 10

February 12

March 13

April 16 [(3 × 13) + (2 × 12) + (10)]/6 = May 19 [(3 × 16) + (2 × 13) + (12)]/6 = June 23 [(3 × 19) + (2 × 16) + (13)]/6 = 17 July 26 [(3 × 23) + (2 × 19) + (16)]/6 = August 30 [(3 × 26) + (2 × 23) + (19)]/6 = September 28 [(3 × 30) + (2 × 26) + (23)]/6 = October 18 [(3 × 28) + (2 × 30) + (26)]/6 = November 16 [(3 × 18) + (2 × 28) + (30)]/6 = December 14 [(3 × 16) + (2 × 18) + (28)]/6 = 1823

2313

2813

2712

2356

20 12

1413

1216

94 PART 1 Introduction to Operations Management

changes. Even in periods of downturn (see November and December), it more closely tracks the demand.

Exponential Smoothing Exponential smoothing is a sophisticated weighted-moving-average forecasting method that is still fairly easy to use. It involves very little record keeping of past data. The basic exponential smoothing formula can be shown as follows:

(4-3)

where α is a weight, or smoothing constant, chosen by the forecaster, that has a value between 0 and 1. Equation (4-3) can also be written mathematically as:

(4-4)

where Ft � new forecast Ft–1 � previous period’s forecast

α � smoothing (or weighting) constant (0 ≤ α ≤ 1) At–1 � previous period’s actual demand

The concept is not complex. The latest estimate of demand is equal to the old estimate adjusted by a fraction of the difference between the last period’s actual demand and the old estimate. Example 3 shows how to use exponential smoothing to derive a forecast.

F t = F t –1 + a(At–1 - F t–1)

+ � (Last period’s actual demand - Last period’s forecast) New forecast = Last period’s forecast

Exponential smoothing A weighted-moving-average forecasting technique in which data points are weighted by an exponential function.

Smoothing constant The weighting factor used in an exponential smoothing forecast, a number between 0 and 1.

EXAMPLE 3 � Determining a forecast via exponential smoothing

Weighted moving average

Actual sales

Moving average

Jan. Feb. Mar. Apr. May June

Month July Aug. Sept. Oct. Nov. Dec.

20

S a le

s d

e m

a n

d 15

10

5

25

30

� FIGURE 4.2 Actual Demand vs. Moving- Average and Weighted- Moving-Average Methods for Donna’s Garden Supply

In January, a car dealer predicted February demand for 142 Ford Mustangs. Actual February demand was 153 autos. Using a smoothing constant chosen by management of α = .20, the dealer wants to fore- cast March demand using the exponential smoothing model.

APPROACH � The exponential smoothing model in Equations (4-3) and (4-4) can be applied.

SOLUTION � Substituting the sample data into the formula, we obtain:

Thus, the March demand forecast for Ford Mustangs is rounded to 144.

= 144.2 New forecast (for Marche demand) = 142 + .2(153 - 142) = 142 + 2.2

AUTHOR COMMENT Moving average methods

always lag behind when there is a trend present, as shown by the blue line (actual sales) for January through August.

Chapter 4 Forecasting 95

INSIGHT � Using just two pieces of data, the forecast and the actual demand, plus a smoothing constant, we developed a forecast of 144 Ford Mustangs for March.

LEARNING EXERCISE � If the smoothing constant is changed to .30, what is the new fore- cast? [Answer: 145.3]

RELATED PROBLEMS � 4.1c, 4.3, 4.4, 4.5d, 4.6, 4.9d, 4.11, 4.12, 4.13a, 4.17, 4.18, 4.37, 4.43, 4.47, 4.49

LO4: Compute three measures of forecast accuracy

The smoothing constant, α, is generally in the range from .05 to .50 for business applications. It can be changed to give more weight to recent data (when α is high) or more weight to past data (when α is low). When α reaches the extreme of 1.0, then in Equation (4-4), Ft = 1.0At–1. All the older values drop out, and the forecast becomes identical to the naive model mentioned earlier in this chapter. That is, the forecast for the next period is just the same as this period’s demand.

The following table helps illustrate this concept. For example, when α = .5, we can see that the new forecast is based almost entirely on demand in the last three or four periods. When α = .1, the forecast places little weight on recent demand and takes many periods (about 19) of historical values into account.

Weight Assigned to

Most 2nd Most 3rd Most 4th Most 5th Most Recent Recent Recent Recent Recent

Smoothing Period Period Period Period Period Constant (α) α(1 − α) α(1 − α)2 α(1 − α)3 α(1 − α)4

α = .1 .1 .09 .081 .073 .066 α = .5 .5 .25 .125 .063 .031

Selecting the Smoothing Constant The exponential smoothing approach is easy to use, and it has been successfully applied in virtually every type of business. However, the appropriate value of the smoothing constant, α, can make the difference between an accurate forecast and an inaccurate forecast. High values of α are chosen when the underlying average is likely to change. Low values of α are used when the underlying average is fairly stable. In picking a value for the smoothing constant, the objective is to obtain the most accurate forecast.

Measuring Forecast Error The overall accuracy of any forecasting model—moving average, exponential smoothing, or other—can be determined by comparing the forecasted values with the actual or observed values. If Ft denotes the forecast in period t, and At denotes the actual demand in period t, the forecast error (or deviation) is defined as:

Several measures are used in practice to calculate the overall forecast error. These measures can be used to compare different forecasting models, as well as to monitor forecasts to ensure they are performing well. Three of the most popular measures are mean absolute deviation (MAD), mean squared error (MSE), and mean absolute percent error (MAPE). We now describe and give an example of each.

Mean Absolute Deviation The first measure of the overall forecast error for a model is the mean absolute deviation (MAD). This value is computed by taking the sum of the absolute values of the individual forecast errors (deviations) and dividing by the number of periods of data (n):

(4-5)MAD = © ƒ Actual - Forecast ƒ

n

= At - Ft Forecast error = Actual demand - Forecast value

Mean absolute deviation (MAD) A measure of the overall forecast error for a model.

AUTHOR COMMENT The forecast error tells us how well the model

performed against itself using past data.

96 PART 1 Introduction to Operations Management

Example 4 applies MAD, as a measure of overall forecast error, by testing two values of α.

EXAMPLE 4 � Determining the mean absolute deviation (MAD)

During the past 8 quarters, the Port of Baltimore has unloaded large quantities of grain from ships. The port’s operations manager wants to test the use of exponential smoothing to see how well the technique works in predicting tonnage unloaded. He guesses that the forecast of grain unloaded in the first quar- ter was 175 tons. Two values of α are to be examined: α = .10 and α = .50.

APPROACH � Compare the actual data with the data we forecast (using each of the two α values) and then find the absolute deviation and MADs.

SOLUTION � The following table shows the detailed calculations for α = .10 only:

To evaluate the accuracy of each smoothing constant, we can compute forecast errors in terms of absolute deviations and MADs:

INSIGHT � On the basis of this comparison of the two MADs, a smoothing constant of α = .10 is preferred to α = .50 because its MAD is smaller.

LEARNING EXERCISE � If the smoothing constant is changed from α = .10 to α = .20, what is the new MAD? [Answer: 10.21.]

RELATED PROBLEMS � 4.5b, 4.8c, 4.9c, 4.14, 4.23, 4.37a

EXCEL OM Data File Ch04Ex4a.xls and Ch04Ex4b.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 4.2 This example is further illustrated in Active Model 4.2 at www.pearsonhighered.com/heizer.

Most computerized forecasting software includes a feature that automatically finds the smooth- ing constant with the lowest forecast error. Some software modifies the α value if errors become larger than acceptable.

Actual Tonnage Forecast Forecast

Quarter Unloaded with α = .10 with α = .50 1 180 175 175 2 168 175.50 = 175.00 + .10(180 − 175) 177.50 3 159 172.75 4 175 165.88 5 190 170.44 6 205 180.22 7 180 192.61 8 182 186.30 9 ? 184.15178.59 = 178.22 + .10(182 - 178.22)

178.22 = 178.02 + .10(180 - 178.02) 178.02 = 175.02 + .10(205 - 175.02) 175.02 = 173.36 + .10(190 - 173.36) 173.36 = 173.18 + .10(175 - 173.18) 173.18 = 174.75 + .10(159 - 174.75) 174.75 = 175.50 + .10(168 - 175.50)

Absolute Absolute Actual Forecast Deviation Forecast Deviation

Tonnage with for with for Quarter Unloaded α = .10 α = .10 α = .50 α = .50

1 180 175 5.00 175 5.00 2 168 175.50 7.50 177.50 9.50 3 159 174.75 15.75 172.75 13.75 4 175 173.18 1.82 165.88 9.12 5 190 173.36 16.64 170.44 19.56 6 205 175.02 29.98 180.22 24.78 7 180 178.02 1.98 192.61 12.61 8 182 178.22 3.78 186.30 4.30

Sum of absolute deviations: 82.45 98.62

10.31 12.33 MAD = ©|Deviations|

n

Chapter 4 Forecasting 97

Mean Squared Error The mean squared error (MSE) is a second way of measuring over- all forecast error. MSE is the average of the squared differences between the forecasted and observed values. Its formula is:

(4-6)

Example 5 finds the MSE for the Port of Baltimore introduced in Example 4.

MSE = ©(Forecast errors)2

n

� EXAMPLE 5 Determining the mean squared error (MSE)

The operations manager for the Port of Baltimore now wants to compute MSE for α = .10.

APPROACH � Use the same forecast data for α = .10 from Example 4, then compute the MSE using Equation (4-6).

SOLUTION �

INSIGHT � Is this MSE = 190.8 good or bad? It all depends on the MSEs for other forecasting approaches. A low MSE is better because we want to minimize MSE. MSE exaggerates errors because it squares them.

LEARNING EXERCISE � Find the MSE for α = .50. [Answer: MSE = 195.24. The result indi- cates that α = .10 is a better choice because we seek a lower MSE. Coincidentally, this is the same con- clusion we reached using MAD in Example 4.]

RELATED PROBLEMS � 4.8d, 4.14, 4.20

MSE = ©(Forecast errors)2

n = 1,526.54>8 = 190.8

A drawback of using the MSE is that it tends to accentuate large deviations due to the squared term. For example, if the forecast error for period 1 is twice as large as the error for period 2, the squared error in period 1 is four times as large as that for period 2. Hence, using MSE as the mea- sure of forecast error typically indicates that we prefer to have several smaller deviations rather than even one large deviation.

Mean Absolute Percent Error A problem with both the MAD and MSE is that their values depend on the magnitude of the item being forecast. If the forecast item is measured in thousands, the MAD and MSE values can be very large. To avoid this problem, we can use the mean absolute percent error (MAPE). This is computed as the average of the absolute difference between the forecasted and actual values, expressed as a percentage of the actual values. That is, if we have forecasted and actual values for n periods, the MAPE is calculated as:

(4-7)

Example 6 illustrates the calculations using the data from Examples 4 and 5.

MAPE = a n

i= 1 100 ƒ Actuali - Forecasti ƒ>Actuali

n

Mean squared error (MSE) The average of the squared differences between the forecasted and observed values.

Mean absolute percent error (MAPE) The average of the absolute differences between the forecast and actual values, expressed as a percent of actual values.

Actual Tonnage Forecast for Quarter Unloaded α = .10 (Error)2

1 180 175 2 168 175.50 3 159 174.75 4 175 173.18 5 190 173.36 6 205 175.02 7 180 178.02 8 182 178.22

Sum of errors squared � 1,526.46

(3.78)2 = 14.31 (1.98)2 = 3.92

(29.98)2 = 898.70 (16.64)2 = 276.89 (1.82)2 = 3.33

( - 15.75)2 = 248.06 (—7.5)2 = 56.25

52 = 25

98 PART 1 Introduction to Operations Management

EXAMPLE 6 � Determining the mean absolute percent error (MAPE)

The Port of Baltimore wants to now calculate the MAPE when α = .10.

APPROACH � Equation (4-7) is applied to the forecast data computed in Example 4.

SOLUTION �

INSIGHT � MAPE expresses the error as a percent of the actual values, undistorted by a single large value.

LEARNING EXERCISE � What is MAPE when α is .50? [Answer: MAPE = 6.75%. As was the case with MAD and MSE, the α = .1 was preferable for this series of data.]

RELATED PROBLEMS � 4.8e, 4.33c

MAPE = © absolute percent errors

n =

44.75%

8 = 5.59%

The MAPE is perhaps the easiest measure to interpret. For example, a result that the MAPE is 6% is a clear statement that is not dependent on issues such as the magnitude of the input data.

Exponential Smoothing with Trend Adjustment Simple exponential smoothing, the technique we just illustrated in Examples 3 to 6, is like any other moving-average technique: It fails to respond to trends. Other forecasting techniques that can deal with trends are certainly available. However, because exponential smoothing is such a popular modeling approach in business, let us look at it in more detail.

Here is why exponential smoothing must be modified when a trend is present. Assume that demand for our product or service has been increasing by 100 units per month and that we have been forecasting with α = 0.4 in our exponential smoothing model. The following table shows a severe lag in the 2nd, 3rd, 4th, and 5th months, even when our initial estimate for month 1 is perfect:

Month Actual Demand Forecast for Month T(FT)

1 100 2 200 3 300 4 400 5 500 F5 = F4 + a (A4 - F4) = 204 + .4(400 - 204) = 282

F4 = F3 + a (A3 - F3) = 140 + .4(300 - 140) = 204 F3 = F2 + a (A2 - F2) = 100 + .4(200 - 100) = 140 F2 = F1 + a (A1 - F1) = 100 + .4(100 - 100) = 100 F1 = 100 (given)

To improve our forecast, let us illustrate a more complex exponential smoothing model, one that adjusts for trend. The idea is to compute an exponentially smoothed average of the data and then adjust for positive or negative lag in trend. The new formula is:

(4-8)+ Exponentially smoothed trend(Tt) Forecast including trend(FITt) = Exponentially smoothed forecast(Ft)

Actual Tonnage Forecast for Absolute Percent Error Quarter Unloaded α = .10 100 (|error|/actual)

1 180 175.00 100(5/180) = 2.78% 2 168 175.50 100(7.5/168) = 4.46% 3 159 174.75 100(15.75/159) = 9.90% 4 175 173.18 100(1.82/175) = 1.05% 5 190 173.36 100(16.64/190) = 8.76% 6 205 175.02 100(29.98/205) = 14.62% 7 180 178.02 100(1.98/180) = 1.10% 8 182 178.22 100(3.78/182) = 2.08%

Sum of % errors = 44.75%

Chapter 4 Forecasting 99

With trend-adjusted exponential smoothing, estimates for both the average and the trend are smoothed. This procedure requires two smoothing constants: α for the average and β for the trend. We then compute the average and trend each period:

Ft = α(Actual demand last period) + (1 − α)(Forecast last period + Trend estimate last period)

or:

(4-9)

or:

(4-10)

where Ft � exponentially smoothed forecast of the data series in period t Tt � exponentially smoothed trend in period t At � actual demand in period t α � smoothing constant for the average (0 ≤ α ≤ 1) β � smoothing constant for the trend (0 ≤ β ≤ 1)

So the three steps to compute a trend-adjusted forecast are:

Step 1: Compute Ft, the exponentially smoothed forecast for period t, using Equation (4-9). Step 2: Compute the smoothed trend, Tt, using Equation (4-10). Step 3: Calculate the forecast including trend, FITt, by the formula FITt = Ft + Tt (from

Equation [4-8]).

Example 7 shows how to use trend-adjusted exponential smoothing.

Tt = �(Ft - Ft - 1) + (1 - �)Tt - 1

Tt = b(Forecast this period - Forecast last period) + (1 - b)(Trend estimate last period)

Ft = a(At - 1) + (1 - a)(Ft - 1 + Tt - 1)

� EXAMPLE 7 Computing a trend-adjusted exponential smoothing forecast

A large Portland manufacturer wants to forecast demand for a piece of pollution-control equipment. A review of past sales, as shown below, indicates that an increasing trend is present:

Smoothing constants are assigned the values of α = .2 and β = .4. The firm assumes the initial forecast for month 1 (F1) was 11 units and the trend over that period (T1) was 2 units.

APPROACH � A trend-adjusted exponential smoothing model, using Equations (4-9), (4-10), and (4-8) and the three steps above, is employed.

SOLUTION �

Step 1: Forecast for month 2:

Step 2: Compute the trend in period 2:

Step 3: Compute the forecast including trend (FITt):

= 14.72 units = 12.8 + 1.92

FIT2 = F2 + T2

= (.4)(1.8) + (.6)(2) = .72 + 1.2 = 1.92 = .4(12.8 - 11) + (1 - .4)(2)

T2 = b(F2 - F1) + (1 - b)T1

= 2.4 + (.8)(13) = 2.4 + 10.4 = 12.8 units F2 = (.2)(12) + (1 - .2)(11 + 2) F2 = aA1 + (1 - a)(F1 + T1)

Month (t) Actual Demand (At) Month (t) Actual Demand (At)

1 12 6 21 2 17 7 31 3 20 8 28 4 19 9 36 5 24 10 ?

100 PART 1 Introduction to Operations Management

We will also do the same calculations for the third month:

Step 1:

Step 2:

Step 3:

Table 4.1 completes the forecasts for the 10-month period.

= 15.18 + 2.10 = 17.28. FIT3 = F3 + T3

= (.4)(2.38) + (.6)(1.92) = .952 + 1.152 = 2.10 T3 = b(F3 - F2) + (1 - b)T2 = (.4)(15.18 - 12.8) + (1 - .4)(1.92)

= 3.4 + (.8)(14.72) = 3.4 + 11.78 = 15.18 F3 = aA2 + (1 - a)(F2 + T2) = (.2)(17) + (1 - .2)(12.8 + 1.92)

Forecast Actual Smoothed Smoothed Including Trend,

Month Demand Forecast, Ft Trend, Tt FITt

1 12 11 2 13.00

2 17 12.80 1.92 14.72

3 20 15.18 2.10 17.28

4 19 17.82 2.32 20.14

5 24 19.91 2.23 22.14

6 21 22.51 2.38 24.89

7 31 24.11 2.07 26.18

8 28 27.14 2.45 29.59

9 36 29.28 2.32 31.60

10 — 32.48 2.68 35.16

�TABLE 4.1 Forecast with = .2 and = .4BA

40

35

30

25

20

15

10

5

0

1 2 3 4 5 Time (months)

P ro

d u

c t

d e m

a n

d

6 7 8 9

Actual demand (At )

Forecast including trend (FITt ) with α = .2 and β = .4

� FIGURE 4.3 Exponential Smoothing with Trend-Adjustment Forecasts Compared to Actual Demand Data

INSIGHT � Figure 4.3 compares actual demand (At) to an exponential smoothing forecast that includes trend (FITt). FIT picks up the trend in actual demand. A simple exponential smoothing model (as we saw in Examples 3 and 4) trails far behind.

LEARNING EXERCISE � Using the data for actual demand for the 9 months, compute the exponentially smoothed forecast without trend (using Equation [4-4] as we did earlier in Examples 3 and 4). Apply α = .2 and assume an initial forecast for month 1 of 11 units. Then plot the months 2–10 fore- cast values on Figure 4.3. What do you notice? [Answer: Month 10 forecast = 24.65. All the points are below and lag the trend-adjusted forecast.]

RELATED PROBLEMS � 4.19, 4.20, 4.21, 4.22, 4.44

EXCEL OM Data File Ch04Ex7.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 4.3 This example is further illustrated in Active Model 4.3 at www.pearsonhighered.com/heizer.

The value of the trend-smoothing constant, β, resembles the α constant because a high β is more responsive to recent changes in trend. A low β gives less weight to the most recent trends and tends to smooth out the present trend. Values of β can be found by the trial-and-error approach or by using sophisticated commercial forecasting software, with the MAD used as a measure of comparison.

Simple exponential smoothing is often referred to as first-order smoothing, and trend- adjusted smoothing is called second-order, or double smoothing. Other advanced exponential- smoothing models are also used, including seasonal-adjusted and triple smoothing, but these are beyond the scope of this book.2

Trend Projections The last time-series forecasting method we will discuss is trend projection. This technique fits a trend line to a series of historical data points and then projects the line into the future for medium to long-range forecasts. Several mathematical trend equations can be developed (for example, expo- nential and quadratic), but in this section, we will look at linear (straight-line) trends only.

If we decide to develop a linear trend line by a precise statistical method, we can apply the least-squares method. This approach results in a straight line that minimizes the sum of the squares of the vertical differences or deviations from the line to each of the actual observations. Figure 4.4 illustrates the least-squares approach.

A least-squares line is described in terms of its y-intercept (the height at which it intercepts the y-axis) and its expected change (slope). If we can compute the y-intercept and slope, we can express the line with the following equation:

(4-11)

where (called “y hat”) = computed value of the variable to be predicted (called the dependent variable)

a = y-axis intercept b = slope of the regression line (or the rate of change in y for given

changes in x) x = the independent variable (which in this case is time)

Statisticians have developed equations that we can use to find the values of a and b for any regression line. The slope b is found by:

(4-12)b = ©xy - nxy ©x2 - nx2

yN

yN = a + bx

Time period

îTrend line, y = a + bx

V a lu

e s

o f

d e p

e n

d e n

t v a ri

a b

le (

y -v

a lu

e s )

⎧ ⎨ ⎩

Deviation 3

Deviation (error)

1

Deviation

Deviation 5 Deviation 6

Deviation 7

Deviation 2

Actual observation (y -value)

4

⎧ ⎪ ⎨ ⎪ ⎩

⎧ ⎪ ⎨ ⎪ ⎩

⎧ ⎨ ⎩

⎧ ⎪ ⎨ ⎪ ⎩

⎧ ⎨ ⎩

1 2 3 4 5 6 7

� FIGURE 4.4 The Least-Squares Method for Finding the Best-Fitting Straight Line, Where the Asterisks Are the Locations of the Seven Actual Observations or Data Points

2For more details, see D. Groebner, P. Shannon, P. Fry, and K. Smith, Business Statistics, 8th ed. (Upper Saddle River, NJ: Prentice Hall, 2011).

Trend projection A time-series forecasting method that fits a trend line to a series of historical data points and then projects the line into the future for forecasts.

Chapter 4 Forecasting 101

102 PART 1 Introduction to Operations Management

where b = slope of the regression line Σ = summation sign x = known values of the independent variable y = known values of the dependent variable

= average of the x-values = average of the y-values

n = number of data points or observations

We can compute the y-intercept a as follows:

(4-13)

Example 8 shows how to apply these concepts.

a = y - bx

y x

EXAMPLE 8 � Forecasting with least squares

The demand for electric power at N.Y. Edison over the period 2003 to 2009 is shown in the following table, in megawatts. The firm wants to forecast 2010 demand by fitting a straight-line trend to these data.

Electrical Electrical Year Power Demand Year Power Demand

2003 74 2007 105 2004 79 2008 142 2005 80 2009 122 2006 90

APPROACH � With a series of data over time, we can minimize the computations by transform- ing the values of x (time) to simpler numbers. Thus, in this case, we can designate 2003 as year 1, 2004 as year 2, and so on. Then Equations (4-12) and (4-13) can be used to create the trend projection model.

SOLUTION �

Time Electric Power Year Period (x) Demand (y) x2 xy

2003 1 74 1 74 2004 2 79 4 158 2005 3 80 9 240 2006 4 90 16 360 2007 5 105 25 525 2008 6 142 36 852 2009 7 122 49 854

©xy = 3,063©x2 = 140©y = 692©x = 28

Thus, the least squares trend equation is To project demand in 2010, we first denote the year 2010 in our new coding system as x = 8:

INSIGHT � To evaluate the model, we plot both the historical demand and the trend line in Figure 4.5. In this case, we may wish to be cautious and try to understand the 2008 to 2009 swing in demand.

= 141.02, or 141 megawatts Demand in 2010 = 56.70 + 10.54(8)

yN = 56.70 + 10.54x.

a = y - bx = 98.86 - 10.54(4) = 56.70

b = ©xy - nxy ©x2 - nx2

= 3,063 - (7)(4)(98.86)

140 - (7)(42) =

295

28 = 10.54

x = ©x n

= 28

7 = 4 y = ©y

n =

692

7 = 98.86

LEARNING EXERCISE � Estimate demand for 2011. [Answer: 151.56 or 152 megawatts.]

RELATED PROBLEMS � 4.6, 4.13c, 4.16, 4.25, 4.39, 4.49

EXCEL OM Data File Ch04Ex8.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 4.4 This example is further illustrated in Active Model 4.4 at www.pearsonhighered.com/heizer.

î

2003 2004 2005 2006 2007 2008 2009 2010 2011

160

150

140

130

120

110

100

90

80

70

60

50

Year

P o

w e r

d e m

a n

d (

m e g

a w

a tt

s )

Trend line, y = 56.70 + 10.54x

� FIGURE 4.5 Electrical Power and the Computed Trend Line

Notes on the Use of the Least-Squares Method Using the least-squares method implies that we have met three requirements:

1. We always plot the data because least-squares data assume a linear relationship. If a curve appears to be present, curvilinear analysis is probably needed.

2. We do not predict time periods far beyond our given database. For example, if we have 20 months’ worth of average prices of Microsoft stock, we can forecast only 3 or 4 months into the future. Forecasts beyond that have little statistical validity. Thus, you cannot take 5 years’ worth of sales data and project 10 years into the future. The world is too uncertain.

3. Deviations around the least-squares line (see Figure 4.4) are assumed to be random. They are normally distributed, with most observations close to the line and only a smaller number farther out.

Seasonal Variations in Data Seasonal variations in data are regular up-and-down movements in a time series that relate to recurring events such as weather or holidays. Demand for coal and fuel oil, for example, peaks during cold winter months. Demand for golf clubs or sunscreen may be highest in summer.

Seasonality may be applied to hourly, daily, weekly, monthly, or other recurring patterns. Fast-food restaurants experience daily surges at noon and again at 5 P.M. Movie theaters see higher demand on Friday and Saturday evenings. The post office, Toys “ ” Us, The Christmas Store, and Hallmark Card Shops also exhibit seasonal variation in customer traffic and sales.

Similarly, understanding seasonal variations is important for capacity planning in organizations that handle peak loads. These include electric power companies during extreme cold and warm peri- ods, banks on Friday afternoons, and buses and subways during the morning and evening rush hours.

Time-series forecasts like those in Example 8 involve reviewing the trend of data over a series of time periods. The presence of seasonality makes adjustments in trend-line forecasts necessary. Seasonality is expressed in terms of the amount that actual values differ from average values in the time series. Analyzing data in monthly or quarterly terms usually makes it easy for a statistician to spot seasonal patterns. Seasonal indices can then be developed by several common methods.

In what is called a multiplicative seasonal model, seasonal factors are multiplied by an esti- mate of average demand to produce a seasonal forecast. Our assumption in this section is that

R

Seasonal variations Regular upward or downward movements in a time series that tie to recurring events.

AUTHOR COMMENT John Deere understands

seasonal variations: It has been able to obtain 70% of

its orders in advance of seasonal use so it can smooth production.

Chapter 4 Forecasting 103

104 PART 1 Introduction to Operations Management

Demand for many prod- ucts is seasonal. Yamaha, the manufacturer of these jet skis and snowmobiles, produces products with complementary demands to address seasonal fluctuations.

EXAMPLE 9 � Determining seasonal indices

A Des Moines distributor of Sony laptop computers wants to develop monthly indices for sales. Data from 2007–2009, by month, are available.

APPROACH � Follow the five steps listed above.

SOLUTION �

Demand Average Average

2007–2009 Monthly Seasonal Month 2007 2008 2009 Demand Demanda Indexb

Jan. 80 85 105 90 94 Feb. 70 85 85 80 94 Mar. 80 93 82 85 94 Apr. 90 95 115 100 94 May 113 125 131 123 94 June 110 115 120 115 94 July 100 102 113 105 94 Aug. 88 102 110 100 94 Sept. 85 90 95 90 94 Oct. 77 78 85 80 94 Nov. 75 82 83 80 94 Dec. 82 78 80 80 94

Total average annual demand = 1,128

aAverage monthly demand bSeasonal index = Average 2007- 2009 monthly demand

Average monthly demand .=

1,128

12 months = 94.

.851 (= 80>94)

.851 (= 80>94)

.851 (= 80>94)

.957 (= 90>94) 1.064 (= 100>94) 1.117 ( = 105>94) 1.223 (= 115>94) 1.309 (= 123>94) 1.064 (= 100>94) .904 ( = 85>94) .851 (= 80>94) .957 ( = 90>94)

trend has been removed from the data. Otherwise, the magnitude of the seasonal data will be dis- torted by the trend.

Here are the steps we will follow for a company that has “seasons” of 1 month:

1. Find the average historical demand each season (or month in this case) by summing the demand for that month in each year and dividing by the number of years of data available. For example, if, in January, we have seen sales of 8, 6, and 10 over the past 3 years, average January demand equals (8 + 6 + 10)/3 = 8 units.

2. Compute the average demand over all months by dividing the total average annual demand by the number of seasons. For example, if the total average demand for a year is 120 units and there are 12 seasons (each month), the average monthly demand is 120/12 = 10 units.

3. Compute a seasonal index for each season by dividing that month’s actual historical demand (from step 1) by the average demand over all months (from step 2). For example, if the aver- age historical January demand over the past 3 years is 8 units and the average demand over all months is 10 units, the seasonal index for January is 8/10 = .80. Likewise, a seasonal index of 1.20 for February would mean that February’s demand is 20% larger than the aver- age demand over all months.

4. Estimate next year’s total annual demand. 5. Divide this estimate of total annual demand by the number of seasons, then multiply it by

the seasonal index for that month. This provides the seasonal forecast.

Example 9 illustrates this procedure as it computes seasonal indices from historical data.

LO5: Develop seasonal indices

If we expected the 2010 annual demand for computers to be 1,200 units, we would use these seasonal indices to forecast the monthly demand as follows:

Month Demand Month Demand

Jan. July

Feb. Aug.

Mar. Sept.

Apr. Oct.

May Nov.

June Dec. 1,200

12 * .851 = 85

1,200

12 * 1.223 = 122

1,200

12 * .851 = 85

1,200

12 * 1.309 = 131

1,200

12 * .851 = 85

1,200

12 * 1.064 = 106

1,200

12 * .957 = 96

1,200

12 * .904 = 90

1,200

12 * 1.064 = 106

1,200

12 * .851 = 85

1,200

12 * 1.117 = 112

1,200

12 * .957 = 96

INSIGHT � Think of these indices as percentages of average sales. The average sales (without seasonality) would be 94, but with seasonality, sales fluctuate from 85% to 131% of average.

LEARNING EXERCISE � If 2010 annual demand is 1,150 laptops (instead of 1,200), what will the January, February, and March forecasts be? [Answer: 91.7, 81.5, and 86.6, which can be rounded to 92, 82, and 87]

RELATED PROBLEMS � 4.27, 4.28

EXCEL OM Data File Ch04Ex9.xls can be found at www.pearsonhighered.com/heizer.

For simplicity, only 3 periods are used for each monthly index in the preceding example. Example 10 illustrates how indices that have already been prepared can be applied to adjust trend-line forecasts for seasonality.

� EXAMPLE 10 Applying both trend and seasonal indices

San Diego Hospital wants to improve its forecasting by applying both trend and seasonal indices to 66 months of data it has collected. It will then forecast “patient-days” over the coming year.

APPROACH � A trend line is created; then monthly seasonal indices are computed. Finally, a multiplicative seasonal model is used to forecast months 67 to 78.

SOLUTION � Using 66 months of adult inpatient hospital days, the following equation was computed:

where � patient days

x � time, in months

Based on this model, which reflects only trend data, the hospital forecasts patient days for the next month (period 67) to be:

Patient days = 8,090 + (21.5)(67) = 9,530 (trend only)

yN

yN = 8,090 + 21.5x

Chapter 4 Forecasting 105

106 PART 1 Introduction to Operations Management

Jan. 67

Feb. 68

9,000

9,600

9,800

10,000

10,200

9,400

9,200

In p

a ti

e n

t d

a y s

Mar. 69

Apr. 70

9,594 9,530

9,551

9,573

May 71

9,616

June 72

9,637

July 73

9,659

Aug. 74

Sept. 75

9,680

9,702

Oct. 76

9,724

Dec. 78

9,766

Nov. 77

9,745

Month (period = 67 for Jan. through 78 for Dec.)

� FIGURE 4.6 Trend Data for San Diego Hospital

Source: From “Modern Methods Improve Hospital Forecasting” by W. E. Sterk and E. G. Shryock from Healthcare Financial Management, Vol. 41, no. 3, p. 97. Reprinted by permission of Healthcare Financial Management Association.

The following table provides seasonal indices based on the same 66 months. Such seasonal data, by the way, were found to be typical of hospitals nationwide.

Seasonality Indices for Adult Inpatient Days at San Diego Hospital

Month Seasonality Index Month Seasonality Index

January 1.04 July 1.03 February 0.97 August 1.04 March 1.02 September 0.97 April 1.01 October 1.00 May 0.99 November 0.96 June 0.99 December 0.98

These seasonal indices are graphed in Figure 4.7. Note that January, March, July, and August seem to exhibit significantly higher patient days on average, while February, September, November, and December experience lower patient days.

However, neither the trend data nor the seasonal data alone provide a reasonable forecast for the hospital. Only when the hospital multiplied the trend-adjusted data times the appropriate seasonal index did it obtain good forecasts. Thus, for period 67 (January):

The patient days for each month are:

Patient days = (Trend-adjusted forecast) (Monthly seasonal index) = (9,530)(1.04) = 9,911

Period 67 68 69 70 71 72 73 74 75 76 77 78 Month Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Forecast 9,911 9,265 9,764 9,691 9,520 9,542 9,949 10,068 9,411 9,724 9,355 9,572

with Trend & Seasonality

While this model, as plotted in Figure 4.6, recognized the upward trend line in the demand for inpatient services, it ignored the seasonality that the administration knew to be present.

INSIGHT � Notice that with trend only, the September forecast is 9,702, but with both trend and seasonal adjustments, the forecast is 9,411. By combining trend and seasonal data, the hospital was bet- ter able to forecast inpatient days and the related staffing and budgeting vital to effective operations.

LEARNING EXERCISE � If the slope of the trend line for patient-days is 22.0 (rather than 21.5) and the index for December is .99 (instead of .98), what is the new forecast for December inpa- tient days? [Answer: 9,708.]

RELATED PROBLEMS � 4.26, 4.29

Example 11 further illustrates seasonality for quarterly data at a department store.

Jan. 67

Feb. 68

0.94

0.96

0.92

0.98

1.00

1.02

1.04

1.06

Month (period = 67 for Jan. through 78 for Dec.)

In d

e x f

o r

in p

a ti

e n

t d

a y s

Mar. 69

Apr. 70

1.01

1.04

0.97

1.02

May 71

0.99

June 72

0.99

July 73

1.03

Aug. 74

Sept. 75

1.04

0.97

Oct. 76

1.00

Dec. 78

0.98

Nov. 77

0.96

� FIGURE 4.7 Seasonal Index for San Diego Hospital

A graph showing the forecast that combines both trend and seasonality appears in Figure 4.8.

Jan. 67

Feb. 68

9,400

9,200

9,800

9,000

10,200

10,000

9,600

Month (period = 67 for Jan. through 78 for Dec.)

In p

a ti

e n

t d

a y s

Mar. 69

Apr. 70

May 71

June 72

July 73

Aug. 74

Sept. 75

Oct. 76

Dec. 78

Nov. 77

9,691

9,911

9,265

9,764

9,520 9,542

9,949

10,068

9,411

9,724

9,572

9,355

� FIGURE 4.8 Combined Trend and Seasonal Forecast

� EXAMPLE 11 Adjusting trend data with seasonal indices

Management at Davis’s Department Store has used time-series regression to forecast retail sales for the next 4 quarters. Sales estimates are $100,000, $120,000, $140,000, and $160,000 for the respective quarters. Seasonal indices for the 4 quarters have been found to be 1.30, .90, .70, and 1.10, respectively.

APPROACH � To compute a seasonalized or adjusted sales forecast, we just multiply each sea- sonal index by the appropriate trend forecast:

yN seasonal = Index * yN trend forecast

Chapter 4 Forecasting 107

108 PART 1 Introduction to Operations Management

Cyclical Variations in Data Cycles are like seasonal variations in data but occur every several years, not weeks, months, or quarters. Forecasting cyclical variations in a time series is difficult. This is because cycles include a wide variety of factors that cause the economy to go from recession to expansion to recession over a period of years. These factors include national or industrywide overexpansion in times of euphoria and contraction in times of concern. Forecasting demand for individual products can also be driven by product life cycles—the stages products go through from intro- duction through decline. Life cycles exist for virtually all products; striking examples include floppy disks, video recorders, and the original Game Boy. We leave cyclical analysis to fore- casting texts.

Developing associative techniques of variables that affect one another is our next topic.

ASSOCIATIVE FORECASTING METHODS: REGRESSION AND CORRELATION ANALYSIS Unlike time-series forecasting, associative forecasting models usually consider several vari- ables that are related to the quantity being predicted. Once these related variables have been found, a statistical model is built and used to forecast the item of interest. This approach is more powerful than the time-series methods that use only the historical values for the fore- casted variable.

Many factors can be considered in an associative analysis. For example, the sales of Dell PCs may be related to Dell’s advertising budget, the company’s prices, competitors’ prices and pro- motional strategies, and even the nation’s economy and unemployment rates. In this case, PC sales would be called the dependent variable, and the other variables would be called independent variables. The manager’s job is to develop the best statistical relationship between PC sales and the independent variables. The most common quantitative associative forecasting model is linear-regression analysis.

Using Regression Analysis for Forecasting We can use the same mathematical model that we employed in the least-squares method of trend projection to perform a linear-regression analysis. The dependent variables that we want to forecast will still be . But now the independent variable, x, need no longer be time. We use the equation:

where value of the dependent variable (in our example, sales) a � y-axis intercept b � slope of the regression line x � independent variable

Example 12 shows how to use linear regression.

yN =

yN = a + bx

yN

Cycles Patterns in the data that occur every several years.

Linear-regression analysis A straight-line mathematical model to describe the functional relationships between independent and dependent variables.

LO6: Conduct a regression and correlation analysis

SOLUTION �

INSIGHT � The straight-line trend forecast is now adjusted to reflect the seasonal changes.

LEARNING EXERCISE � If the sales forecast for Quarter IV was 180,000 (rather than 160,000), what would be the seasonally adjusted forecast? [Answer: $198,000.]

RELATED PROBLEMS � 4.26, 4.29

Quarter IV: yNIV = (1.10)($160,000) = $176,000 Quarter III: yNIII = (.70)($140,000) = $98,000 Quarter II: yNII = (.90)($120,000) = $108,000 Quarter I: yN I = (1.30)($100,000) = $130,000

AUTHOR COMMENT We now deal with the

same mathematical model that we saw earlier, the

least-squares method. But we use any potential “cause-

and-effect” variable as x.

� EXAMPLE 12 Computing a linear regression equation

Nodel Construction Company renovates old homes in West Bloomfield, Michigan. Over time, the com- pany has found that its dollar volume of renovation work is dependent on the West Bloomfield area payroll. Management wants to establish a mathematical relationship to help predict sales.

APPROACH � Nodel’s VP of operations has prepared the following table, which lists company revenues and the amount of money earned by wage earners in West Bloomfield during the past 6 years:

The VP needs to determine whether there is a straight-line (linear) relationship between area payroll and sales. He plots the known data on a scatter diagram:

Area payroll (in $ billions)

0

1.0

2.0

3.0

4.0

1 2 3 54 6 7

N o

d e l’ s s

a le

s (i

n $

m il li o

n s )

From the six data points, there appears to be a slight positive relationship between the independent vari- able (payroll) and the dependent variable (sales): As payroll increases, Nodel’s sales tend to be higher.

SOLUTION � We can find a mathematical equation by using the least-squares regression approach:

The estimated regression equation, therefore, is:

or:

Sales = 1.75 + .25 (payroll)

yN = 1.75 + .25x

a = y - bx = 2.5 - (.25)(3) = 1.75

b = ©xy - nx y ©x2 - nx 2

= 51.5 - (6)(3)(2.5)

80 - (6)(32) = .25

y = ©y 6

= 15

6 = 2.5

x = ©x 6

= 18

6 = 3

Nodel’s Sales Area Payroll Nodel’s Sales Area Payroll (in $ millions), y (in $ billions), x (in $ millions), y (in $ billions), x

2.0 1 2.0 2 3.0 3 2.0 1 2.5 4 3.5 7

Sales, y Payroll, x x2 xy

2.0 1 1 2.0 3.0 3 9 9.0 2.5 4 16 10.0 2.0 2 4 4.0 2.0 1 1 2.0 3.5 7 49 24.5

Σy = 15.0 Σx = 18 Σx2 = 80 Σxy = 51.5

AUTHOR COMMENT A scatter diagram is a

powerful data analysis tool. It helps quickly size up the relationship between two

variables.

Chapter 4 Forecasting 109

110 PART 1 Introduction to Operations Management

If the local chamber of commerce predicts that the West Bloomfield area payroll will be $6 billion next year, we can estimate sales for Nodel with the regression equation:

or:

INSIGHT � Given our assumptions of a straight-line relationship between payroll and sales, we now have an indication of the slope of that relationship: on average, sales increase at the rate of a mil- lion dollars for every quarter billion dollars in the local area payroll. This is because b = .25.

LEARNING EXERCISE � What are Nodel’s sales when the local payroll is $8 billion? [Answer: $3.75 million.]

RELATED PROBLEMS � 4.24, 4.30, 4.31, 4.32, 4.33, 4.35, 4.38, 4.40, 4.41, 4.46, 4.48, 4.49

EXCEL OM Data File Ch04Ex12.xls can be found at www.pearsonhighered.com/heizer.

Sales = $3,250,000

= 1.75 + 1.50 = 3.25 Sales (in $ millions) = 1.75 + .25(6)

The final part of Example 12 shows a central weakness of associative forecasting methods like regression. Even when we have computed a regression equation, we must provide a forecast of the independent variable x—in this case, payroll—before estimating the dependent variable y for the next time period. Although this is not a problem for all forecasts, you can imagine the diffi- culty of determining future values of some common independent variables (such as unemploy- ment rates, gross national product, price indices, and so on).

Standard Error of the Estimate The forecast of $3,250,000 for Nodel’s sales in Example 12 is called a point estimate of y. The point estimate is really the mean, or expected value, of a distribution of possible values of sales. Figure 4.9 illustrates this concept.

To measure the accuracy of the regression estimates, we must compute the standard error of the estimate, Sy, x. This computation is called the standard deviation of the regression: It mea- sures the error from the dependent variable, y, to the regression line, rather than to the mean. Equation (4-14) is a similar expression to that found in most statistics books for computing the standard deviation of an arithmetic mean:

(4-14)

where y = y-value of each data point yc = computed value of the dependent variable, from the regression equation n = number of data points

Sy,x = A ©(y - yc)2

n - 2

Standard error of the estimate A measure of variability around the regression line—its standard deviation.

1 2 3 4 5 6 7

3.25

4.0

3.0

2.0

1.0

Area payroll (in $ billions)

N o

d e l’ s s

a le

s (i

n $

m il li o

n s )

Regression line, y = 1.75 + .25x

x

y� FIGURE 4.9 Distribution about the Point Estimate of $3.25 Million Sales

Glidden Paints’ assembly lines fill thousands of cans per hour. To pre- dict demand, the firm uses associa- tive forecasting methods such as linear regression, with independent variables such as disposable per- sonal income and GNP. Although housing starts would be a natural variable, Glidden found that it corre- lated poorly with past sales. It turns out that most Glidden paint is sold through retailers to customers who already own homes or businesses.

Equation (4-15) may look more complex, but it is actually an easier-to-use version of Equation (4-14). Both formulas provide the same answer and can be used in setting up prediction intervals around the point estimate3:

(4-15)

Example 13 shows how we would calculate the standard error of the estimate in Example 12.

Sy, x = A ©y2 - a©y - b©xy

n - 2

� EXAMPLE 13 Computing the standard error of the estimate

Nodel’s VP of operations now wants to know the error associated with the regression line computed in Example 12.

APPROACH � Compute the standard error of the estimate, Sy,x, using Equation (4-15).

SOLUTION � The only number we need that is not available to solve for Sy,x is Some quick addition reveals Therefore:

The standard error of the estimate is then $306,000 in sales.

INSIGHT � The interpretation of the standard error of the estimate is similar to the standard devia- tion; namely, ±1 standard deviation = .6827. So there is a 68.27% chance of sales being ±$306,000 from the point estimate of $3,250,000.

LEARNING EXERCISE � What is the probability sales will exceed $3,556,000? [Answer: About 16%.]

RELATED PROBLEMS � 4.41e, 4.48b

= 2.09375 = .306 (in $ millions)

= A

39.5 - 1.75(15.0) - .25(51.5) 6 - 2

Sy,x = A ©y2 - a©y - b©xy

n - 2

©y2 = 39.5. ©y2.

Correlation Coefficients for Regression Lines The regression equation is one way of expressing the nature of the relationship between two vari- ables. Regression lines are not “cause-and-effect” relationships. They merely describe the rela- tionships among variables. The regression equation shows how one variable relates to the value and changes in another variable.

Another way to evaluate the relationship between two variables is to compute the coefficient of correlation. This measure expresses the degree or strength of the linear relationship. Usually

Coefficient of correlation A measure of the strength of the relationship between two variables.

3When the sample size is large (n > 30), the prediction interval value of y can be computed using normal tables. When the number of observations is small, the t-distribution is appropriate. See D. Groebner et al., Business Statistics, 8th ed. (Upper Saddle River, NJ: Prentice Hall, 2011).

Chapter 4 Forecasting 111

112 PART 1 Introduction to Operations Management

identified as r, the coefficient of correlation can be any number between �1 and �1. Figure 4.10 illustrates what different values of r might look like.

To compute r, we use much of the same data needed earlier to calculate a and b for the regres- sion line. The rather lengthy equation for r is:

(4-16)

Example 14 shows how to calculate the coefficient of correlation for the data given in Examples 12 and 13.

r = n©xy - ©x©y

2[n©x2 - (©x)2][n©y2 - (©y)2]

EXAMPLE 14 � Determining the coefficient of correlation

(a) Perfect positive correlation:

r = +1

(b) Positive correlation: 0 < r < 1

(c) No correlation: r = 0

(d) Perfect negative correlation:

r = –1

x

y

x

y

x

y

x

y� FIGURE 4.10 Four Values of the Correlation Coefficient

In Example 12, we looked at the relationship between Nodel Construction Company’s renovation sales and payroll in its hometown of West Bloomfield. The VP now wants to know the strength of the asso- ciation between area payroll and sales.

APPROACH � We compute the r value using Equation (4-16). We need to first add one more col- umn of calculations—for y2.

SOLUTION � The data, including the column for y2 and the calculations, are shown here:

INSIGHT � This r of .901 appears to be a significant correlation and helps confirm the closeness of the relationship between the two variables.

LEARNING EXERCISE � If the coefficient of correlation was –.901 rather than +.901, what would this tell you? [Answer: The negative correlation would tell you that as payroll went up, Nodel’s sales went down—a rather unlikely occurrence that would suggest you recheck your math.]

RELATED PROBLEMS � 4.24d, 4.35d, 4.38c, 4.41f, 4.48b

= 39

43.3 = .901

= 309 - 270 2(156)(12)

= 39

21,872

r = (6)(51.5) - (18)(15.0)

2[(6)(80) - (18)2][(6)(39.5) - (15.0)2]

Although the coefficient of correlation is the measure most commonly used to describe the relationship between two variables, another measure does exist. It is called the coefficient of determination and is simply the square of the coefficient of correlation—namely, r 2. The value of r 2 will always be a positive number in the range The coefficient of determination0 … r 2 … 1.

Coefficient of determination A measure of the amount of variation in the dependent variable about its mean that is explained by the regression equation.

y x x2 xy y2

2.0 1 1 2.0 4.0 3.0 3 9 9.0 9.0 2.5 4 16 10.0 6.25 2.0 2 4 4.0 4.0 2.0 1 1 2.0 4.0 3.5 7 49 24.5 12.25

Σy = 15.0 Σx = 18 Σx2 = 80 Σ xy = 51.5 Σy2 = 39.5

is the percent of variation in the dependent variable (y) that is explained by the regression equa- tion. In Nodel’s case, the value of r 2 is .81, indicating that 81% of the total variation is explained by the regression equation.

Multiple-Regression Analysis Multiple regression is a practical extension of the simple regression model we just explored. It allows us to build a model with several independent variables instead of just one variable. For example, if Nodel Construction wanted to include average annual interest rates in its model for forecasting renovation sales, the proper equation would be:

(4-17)

where � dependent variable, salesyN

yN = a + b1x1 + b2x2

Multiple regression An associative forecasting method with more than one independent variable.

� EXAMPLE 15 Using a multiple- regression equation

Nodel Construction wants to see the impact of a second independent variable, interest rates, on its sales.

APPROACH � The new multiple-regression line for Nodel Construction, calculated by computer software, is:

We also find that the new coefficient of correlation is .96, implying the inclusion of the variable x2, interest rates, adds even more strength to the linear relationship.

SOLUTION � We can now estimate Nodel’s sales if we substitute values for next year’s payroll and interest rate. If West Bloomfield’s payroll will be $6 billion and the interest rate will be .12 (12%), sales will be forecast as:

or:

INSIGHT � By using both variables, payroll and interest rates, Nodel now has a sales forecast of $3 million and a higher coefficient of correlation. This suggests a stronger relationship between the two variables and a more accurate estimate of sales.

LEARNING EXERCISE � If interest rates were only 6%, what would be the sales forecast? [Answer: or $3,300,000.]

RELATED PROBLEMS � 4.34, 4.36

1.8 + 1.8 - 5.0(.06) = 3.3,

Sales = $3,000,000

= 3.00 = 1.8 + 1.8 - .6

Sales($ millions) = 1.80 + .30(6) - 5.0(.12)

yN = 1.80 + .30x1 - 5.0x2

MONITORING AND CONTROLLING FORECASTS Once a forecast has been completed, it should not be forgotten. No manager wants to be reminded that his or her forecast is horribly inaccurate, but a firm needs to determine why actual demand (or whatever variable is being examined) differed significantly from that projected. If the forecaster is accurate, that individual usually makes sure that everyone is aware of his or her talents. Very seldom does one read articles in Fortune, Forbes, or The Wall Street Journal, how- ever, about money managers who are consistently off by 25% in their stock market forecasts.

AUTHOR COMMENT Using a tracking signal is a good way to make sure the forecasting system is continuing to do a

good job.

a � a constant, the y intercept x1 and x2 � values of the two independent variables, area payroll and interest rates,

respectively b1 and b2 = coefficients for the two independent variables

The mathematics of multiple regression becomes quite complex (and is usually tackled by com- puter), so we leave the formulas for a, b1, and b2 to statistics textbooks. However, Example 15 shows how to interpret Equation (4-17) in forecasting Nodel’s sales.

Chapter 4 Forecasting 113

114 PART 1 Introduction to Operations Management

Tracking signal A measurement of how well a forecast is predicting actual values.

One way to monitor forecasts to ensure that they are performing well is to use a tracking sig- nal. A tracking signal is a measurement of how well a forecast is predicting actual values. As forecasts are updated every week, month, or quarter, the newly available demand data are com- pared to the forecast values.

The tracking signal is computed as the cumulative error divided by the mean absolute devia- tion (MAD):

(4-18)

where

as seen earlier, in Equation (4-5). Positive tracking signals indicate that demand is greater than forecast. Negative signals

mean that demand is less than forecast. A good tracking signal—that is, one with a low cumu- lative error—has about as much positive error as it has negative error. In other words, small deviations are okay, but positive and negative errors should balance one another so that the tracking signal centers closely around zero. A consistent tendency for forecasts to be greater or less than the actual values (that is, for a high absolute cumulative error) is called a bias error. Bias can occur if, for example, the wrong variables or trend line are used or if a sea- sonal index is misapplied.

Once tracking signals are calculated, they are compared with predetermined control limits. When a tracking signal exceeds an upper or lower limit, there is a problem with the forecast- ing method, and management may want to reevaluate the way it forecasts demand. Figure 4.11 shows the graph of a tracking signal that is exceeding the range of acceptable variation. If the model being used is exponential smoothing, perhaps the smoothing constant needs to be readjusted.

How do firms decide what the upper and lower tracking limits should be? There is no single answer, but they try to find reasonable values—in other words, limits not so low as to be triggered with every small forecast error and not so high as to allow bad forecasts to be regularly overlooked. One MAD is equivalent to approximately .8 standard deviation, ±2 MADs = ±1.6 standard deviations, ±3 MADs = ±2.4 standard deviations, and ±4 MADs = ±3.2 standard deviations. This fact suggests that for a forecast to be “in control,” 89% of the errors are expected to fall within ±2 MADs, 98% within ±3 MADs, or 99.9% within ±4 MADs.4

Example 16 shows how the tracking signal and cumulative error can be computed.

(MAD) = © ƒ Actual - Forecast ƒ

n

= ©(Actual demand in period i - Forecast demand in period i)

MAD

(Tracking signal) = Cumulative error

MAD

+

0 MADs

Upper control limit

Lower control limit

Time

Signal exceeded limit

Tracking signal

Acceptable range

*

� FIGURE 4.11 A Plot of Tracking Signals

4To prove these three percentages to yourself, just set up a normal curve for ±1.6 standard deviations (z-values). Using the normal table in Appendix I, you find that the area under the curve is .89. This represents ±2 MADs. Likewise, ±3 MADs = ±2.4 standard deviations encompass 98% of the area, and so on for ±4 MADs.

Bias A forecast that is consistently higher or consistently lower than actual values of a time series.

LO7: Use a tracking signal

� EXAMPLE 16 Computing the tracking signal at Carlson’s Bakery

Carlson’s Bakery wants to evaluate performance of its croissant forecast.

APPROACH � Develop a tracking signal for the forecast and see if it stays within acceptable lim- its, which we define as ±4 MADs.

SOLUTION � Using the forecast and demand data for the past 6 quarters for croissant sales, we develop a tracking signal in the table below:

INSIGHT � Because the tracking signal drifted from –2 MAD to +2.5 MAD (between 1.6 and 2.0 standard deviations), we can conclude that it is within acceptable limits.

LEARNING EXERCISE � If actual demand in quarter 6 was 130 (rather than 140), what would be the MAD and resulting tracking signal? [Answer: MAD for quarter 6 would be 12.5, and the track- ing signal for period 6 would be 2 MADs.]

RELATED PROBLEMS � 4.37, 4.45

and Tracking signal = Cumulative error

MAD =

35

14.2 = 2.5 MADs

At the end of quarter 6, MAD = ©|Forecast errors|

n =

85

6 = 14.2

Cumulative Tracking Absolute Absolute Signal

Actual Forecast Cumulative Forecast Forecast (cumulative Quarter Demand Demand Error Error Error Error MAD error/MAD)

1 90 100 –10 –10 10 10 10.0 –10/10 = –1 2 95 100 –5 –15 5 15 7.5 –15/7.5 = –2 3 115 100 +15 0 15 30 10.0 0/10 = 0 4 100 110 –10 –10 10 40 10.0 –10/10 = –1 5 125 110 +15 +5 15 55 11.0 +5/11 = +0.5 6 140 110 +30 +35 30 85 14.2 +35/14.2 = +2.5

Adaptive Smoothing Adaptive forecasting refers to computer monitoring of tracking signals and self-adjustment if a signal passes a preset limit. For example, when applied to exponential smoothing, the α and β coefficients are first selected on the basis of values that minimize error forecasts and then adjusted accordingly whenever the computer notes an errant tracking signal. This process is called adaptive smoothing.

Focus Forecasting Rather than adapt by choosing a smoothing constant, computers allow us to try a variety of fore- casting models. Such an approach is called focus forecasting. Focus forecasting is based on two principles:

1. Sophisticated forecasting models are not always better than simple ones. 2. There is no single technique that should be used for all products or services.

Bernard Smith, inventory manager for American Hardware Supply, coined the term focus fore- casting. Smith’s job was to forecast quantities for 100,000 hardware products purchased by American’s 21 buyers.5 He found that buyers neither trusted nor understood the exponential smoothing model then in use. Instead, they used very simple approaches of their own. So Smith developed his new computerized system for selecting forecasting methods.

Smith chose to test seven forecasting methods. They ranged from the simple ones that buyers used (such as the naive approach) to statistical models. Every month, Smith applied the forecasts of all seven models to each item in stock. In these simulated trials, the forecast values were sub- tracted from the most recent actual demands, giving a simulated forecast error. The forecast

Adaptive smoothing An approach to exponential smoothing forecasting in which the smoothing constant is automatically changed to keep errors to a minimum.

Focus forecasting Forecasting that tries a variety of computer models and selects the best one for a particular application.

5Bernard T. Smith, Focus Forecasting: Computer Techniques for Inventory Control (Boston: CBI Publishing, 1978).

Chapter 4 Forecasting 115

116 PART 1 Introduction to Operations Management

method yielding the least error is selected by the computer, which then uses it to make next month’s forecast. Although buyers still have an override capability, American Hardware finds that focus forecasting provides excellent results.

FORECASTING IN THE SERVICE SECTOR Forecasting in the service sector presents some unusual challenges. A major technique in the retail sector is tracking demand by maintaining good short-term records. For instance, a barber- shop catering to men expects peak flows on Fridays and Saturdays. Indeed, most barbershops are closed on Sunday and Monday, and many call in extra help on Friday and Saturday. A downtown restaurant, on the other hand, may need to track conventions and holidays for effective short-term forecasting. The OM in Action box “Forecasting at FedEx’s Customer Service Centers” provides an example of a major service-sector industry, the call center.

Specialty Retail Shops Specialty retail facilities, such as flower shops, may have other unusual demand patterns, and those patterns will differ depending on the holiday. When Valentine’s Day falls on a weekend, for example, flowers can’t be delivered to offices, and those romantically inclined are likely to celebrate with outings rather than flowers. If a holiday falls on a Monday, some of the celebration may also take place on the weekend, reducing flower sales. However, when Valentine’s Day falls in midweek, busy midweek schedules often make flowers the optimal way to celebrate. Because flowers for Mother’s Day are to be deliv- ered on Saturday or Sunday, this holiday forecast varies less. Due to special demand patterns, many service firms maintain records of sales, noting not only the day of the week but also unusual events, including the weather, so that patterns and correlations that influence demand can be developed.

Fast-Food Restaurants Fast-food restaurants are well aware not only of weekly, daily, and hourly but even 15-minute variations in demands that influence sales. Therefore, detailed fore- casts of demand are needed. Figure 4.12(a) shows the hourly forecast for a typical fast-food restaurant. Note the lunchtime and dinnertime peaks. This contrasts to the mid-morning and mid- afternoon peaks at FedEx’s call center in Figure 14.12(b).

Firms like Taco Bell now use point-of-sale computers that track sales every quarter hour. Taco Bell found that a 6-week moving average was the forecasting technique that minimized its mean squared error (MSE) of these quarter-hour forecasts. Building this forecasting methodology into each of Taco Bell’s 6,500 stores’ computers, the model makes weekly projections of customer

11–12

5%

Hour of day

P e rc

e n

t o

f s a le

s b

y h

o u

r o

f d

a y

12–1 (Lunchtime)

1–2 2–3

3–4 4–5

5–6 6–7

7–8 8–9

9–10

10%

15%

20%

10–11 (Dinnertime)

Hourly sales at a fast-food restaurant

(a)

1 0%

Hour of day

2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 1210 11

1%

2%

3%

4%

5%

6%

7%

8%

9%

10%

11%

12% Monday calls at a FedEx call center*

(b)

A.M. P.M.

� FIGURE 4.12 Forecasts Are Unique: Note the Variations between (a) Hourly Sales at a Fast-Food Restaurant and (b) Hourly Call Volume at FedEx *Based on historical data: see Journal of Business Forecasting (Winter 1999–2000): 6–11.

AUTHOR COMMENT Forecasting at McDonald’s, FedEx, and Walmart is as

important and complex as it is for manufacturers such as

Toyota and Dell.

The world’s largest express shipping company, FedEx, generates $38 billion in revenues, using 675 planes, 44,000 trucks, and a workforce of 145,000 in 220 countries. To support this global network, the company has 51 customer service call centers, whose service goal is to answer 90% of all calls within 20 seconds. With a half- million daily calls just in the U.S., FedEx makes extensive use of forecasting models for staffing decisions and to ensure that customer satisfaction levels stay the highest in the industry.

FedEx’s Forecasting & Modeling department makes several different forecasts. One-year and five-year models predict number of calls, average handle time, and staffing needs. They break forecasts into weekday, Saturday, and Sunday and then use the Delphi method and time-series analysis.

FedEx’s tactical forecasts are monthly and use 8 years of historical daily data. This time-series model addresses

month, day of week, and day of month to predict caller volume. Finally, the operational forecast uses a weighted moving average and 6 weeks of data to project the number of calls on a half-hourly basis.

FedEx’s forecasts are consistently accurate to within 1% to 2% of actual call volumes. This means

coverage needs are met, service levels are maintained, and costs are controlled.

Sources: Hoover’s Company Records (July 1, 2009): 10552; Baseline (January 2005): 54; and Journal of Business Forecasting (Winter 1999–2000): 7–11.

OM in Action � Forecasting at FedEx’s Customer Service Centers

Forecasts are a critical part of the operations manager’s func- tion. Demand forecasts drive a firm’s production, capacity, and scheduling systems and affect the financial, marketing, and personnel planning functions.

There are a variety of qualitative and quantitative fore- casting techniques. Qualitative approaches employ judg- ment, experience, intuition, and a host of other factors that are difficult to quantify. Quantitative forecasting uses histor- ical data and causal, or associative, relations to project future demands. The Rapid Review for this chapter (found in the Lecture Guide & Activities Manual) summarizes the

formulas we introduced in quantitative forecasting. Forecast calculations are seldom performed by hand. Most oper- ations managers turn to software pack- ages such as Forecast PRO, SAP, AFS, SAS, SPSS, or Excel.

No forecasting method is perfect under all conditions. And even once management has found a satisfactory approach, it must still monitor and control forecasts to make sure errors do not get out of hand. Forecasting can often be a very challeng- ing, but rewarding, part of managing.

CHAPTER SUMMARY

6J. Hueter and W. Swart, “An Integrated Labor Management System for Taco Bell,” Interfaces 28, no. 1 (January–February 1998): 75–91.

transactions. These in turn are used by store managers to schedule staff, who begin in 15-minute increments, not 1-hour blocks as in other industries. The forecasting model has been so successful that Taco Bell has increased customer service while documenting more than $50 million in labor cost savings in 4 years of use.6

Key Terms

Forecasting (p. 86) Economic forecasts (p. 87) Technological forecasts (p. 87) Demand forecasts (p. 87) Quantitative forecasts (p. 89) Qualitative forecasts (p. 89) Jury of executive opinion (p. 89) Delphi method (p. 89) Sales force composite (p. 89) Consumer market survey (p. 89) Time series (p. 90)

Naive approach (p. 90) Moving averages (p. 91) Exponential smoothing (p. 94) Smoothing constant (p. 94) Mean absolute deviation (MAD) (p. 95) Mean squared error (MSE) (p. 97) Mean absolute percent error (MAPE)

(p. 97) Trend projection (p. 101) Seasonal variations (p. 103) Cycles (p. 108)

Linear-regression analysis (p. 108) Standard error of the estimate (p. 110) Coefficient of correlation (p. 111) Coefficient of determination (p. 112) Multiple regression (p. 113) Tracking signal (p. 114) Bias (p. 114) Adaptive smoothing (p. 115) Focus forecasting (p. 115)

Chapter 4 Forecasting 117

� PROGRAM 4.1 Using Excel to Develop Your Own Forecast, with Data from Example 8

As an alternative, you may want to experiment with Excel’s built-in regression analysis. To do so, under the Data menu bar selection choose Data Analysis, then Regression. Enter your Y and X data into two columns (say B and C). When the regression window appears, enter the Y and X ranges, then select OK. Excel offers several plots and tables to those interested in more rigorous analysis of regression problems.

X Using Excel OM Excel OM’s forecasting module has five components: (1) moving averages, (2) weighted moving aver- ages, (3) exponential smoothing, (4) regression (with one variable only), and (5) decomposition. Excel OM’s error analysis is much more complete than that available with the Excel add-in.

Program 4.2 illustrates Excel OM’s input and output, using Example 2’s weighted-moving-average data.

P Using POM for Windows POM for Windows can project moving averages (both simple and weighted), handle exponential smoothing (both simple and trend adjusted), forecast with least squares trend projection, and solve linear-regression (associative) models. A summary screen of error analysis and a graph of the data can also be generated. As a special example of exponential smoothing adaptive forecasting, when using an α of 0, POM for Windows will find the α value that yields the minimum MAD.

Appendix IV provides further details.

Computations

Value Cell Excel Formula Action

Trend line column D4 =$B$16+$B$17*C4 Copy to D5:D14 (or =TREND($B$4:$B$10,$C$4:$C$10,C4))

Intercept B16 =INTERCEPT(B4:B10, C4:C10) Slope (trend) B17 =SLOPE(B4:B10, C4:C10) Standard error B19 =STEYX(B4:B10, C4:C10) Correlation B20 =CORREL(B4:B10, C4:C10)

118 PART 1 Introduction to Operations Management

Using Software in Forecasting

This section presents three ways to solve forecasting problems with computer software. First, you can create your own Excel spreadsheets to develop forecasts. Second, you can use the Excel OM software that comes with the text and is found on our text web site. Third, POM for Windows is another program that is located on our web site at www.pearsonhighered.com/heizer.

Creating Your Own Excel Spreadsheets Excel spreadsheets (and spreadsheets in general) are frequently used in forecasting. Exponential smooth- ing, trend analysis, and regression analysis (simple and multiple) are supported by built-in Excel functions.

Program 4.1 illustrates how to build an Excel forecast for the data in Example 8. The goal for N.Y. Edison is to create a trend analysis of the 2003–2009 data. Note that in cell D4 you can enter either = $B$16 + $B$17 * C4 or = TREND ($B$4: $B$10, $C$4: $C$10, C4).

Chapter 4 Forecasting 119

� PROGRAM 4.2 Analysis of Excel OM’s Weighted-Moving-Average Program, Using Data from Example 2 as Input

Enter the weights to be placed on each of the last three periods at the top of column C: Weights must be entered from oldest to most recent.

Forecast is the weighted sum of past sales (SUMPRODUCT) divided by the sum of the weights (SUM) because weights do not sum to 1.

Error (B11 – E11) is the difference between the demand and the forecast.

= AVERAGE(H11: H19)

The standard error is given by the square root of the total error divided by n – 2 , where n is the number of periods for which forecasts exist, i.e., 9.

= SUMPRODUCT(B17:B19, $C$8:$C$10)/SUM($C$8:$C$10)

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 4.1 Sales of Volkswagen’s popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years (see table below). The sales manager had predicted in 2004 that 2005 sales would be 410 VWs. Using exponential smoothing with a weight of α = .30, develop forecasts for 2006 through 2010.

� SOLUTION

� SOLUTION

= 20.14 FIT4 = 17.82 + 2.32

= 2.32 = 1.056 + 1.26 = (.4)(2.64) + (.6)(2.10) = (.4)(17.82 - 15.18) + (1 - .4)(2.10)

T4 = b(F4 - F3) + (1 - b)T3

= 17.82 = 4.0 + 13.82 = 4.0 + (.8)(17.28) = (.2)(20) + (1 - .2)(15.18 + 2.10)

F4 = aA3 + (1 - a)(F3 + T3)

Year Sales Forecast

2005 450 410 2006 495 2007 518 2008 563 2009 584 2010 ?

Year Forecast

2005 410.0 2006 2007 2008 2009 2010 521.8 = 495.2 + .3 (584 - 495.2)

495.2 = 466.1 + .3 (563 - 466.1) 466.1 = 443.9 + .3 (518 - 443.9) 443.9 = 422 + .3 (495 - 422) 422.0 = 410 + .3 (450 - 410)

� SOLVED PROBLEM 4.2 In Example 7, we applied trend-adjusted exponential smoothing to forecast demand for a piece of pollution-control equipment for months 2 and 3 (out of 9 months of data provided). Let us now continue this process for month 4. We want to confirm the forecast for month 4 shown in Table 4.1 (p. 100) and Figure 4.3 (p. 100).

For month 4, A4 = 19, with α = .2, and β = .4.

� SOLVED PROBLEM 4.3 Room registrations in the Toronto Towers Plaza Hotel have been recorded for the past 9 years. To project future occupancy, man- agement would like to determine the mathematical trend of guest registration. This estimate will help the hotel determine whether future expansion will be needed. Given the following time-series

data, develop a regression equation relating registrations to time (e.g., a trend equation). Then forecast 2011 registrations. Room registrations are in the thousands:

2001: 17 2002: 16 2003: 16 2004: 21 2005: 20 2006: 20 2007: 23 2008: 25 2009: 24

� SOLUTION

Transformed Registrants, y Year Year, x (in thousands) x2 xy

2001 1 17 1 17 2002 2 16 4 32 2003 3 16 9 48 2004 4 21 16 84 2005 5 20 25 100 2006 6 20 36 120 2007 7 23 49 161 2008 8 25 64 200 2009 9 24 81 216

Σx = 45 Σy = 182 Σx2 = 285 Σxy = 978

The projection of registrations in the year 2011 (which is x = 11 in the coding system used) is:

or 27,030 guests in 2011 yN = 14.545 + (1.135)(11) = 27.03

yN (registrations) = 14.545 + 1.135x a = y- bx = 20.22 - (1.135)(5) = 20.22 - 5.675 = 14.545

b = ©xy - nxy ©x2 - nx2

= 978 - (9)(5)(20.22)

285 - (9)(25) =

978 - 909.9 285 - 225

= 68.1

60 = 1.135

� SOLVED PROBLEM 4.4 Quarterly demand for Ford F150 pickups at a New York auto dealer is forecast with the equation:

where x = quarters, and:

Quarter I of 2008 = 0 Quarter II of 2008 = 1

Quarter III of 2008 = 2 Quarter IV of 2008 = 3

Quarter I of 2009 = 4 and so on

and:

The demand for trucks is seasonal, and the indices for Quarters I, II, III, and IV are 0.80, 1.00, 1.30, and 0.90, respectively. Forecast demand for each quarter of 2010. Then, seasonalize each forecast to adjust for quarterly variations.

yN = quarterly demand

yN = 10 + 3x

� SOLUTION Quarter II of 2009 is coded x = 5; Quarter III of 2009, x = 6; and Quarter IV of 2009, x = 7. Hence, Quarter I of 2010 is coded x = 8; Quarter II, x = 9; and so on.

Adjusted forecast = (.90)(43) = 38.7 Adjusted forecast = (1.30)(40) = 52 Adjusted forecast = (1.00)(37) = 37 Adjusted forecast = (.80)(34) = 27.2

yN (2010 Quarter IV) = 10 + 3(11) = 43 yN (2010 Quarter III) = 10 + 3(10) = 40 yN (2010 Quarter II) = 10 + 3(9) = 37 yN (2010 Quarter I) = 10 + 3(8) = 34

120 PART 1 Introduction to Operations Management

Chapter 4 Forecasting 121

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: North-South Airlines: Reflects the merger of two airlines and addresses their maintenance costs.

Bibliography

Balakrishnan, R., B. Render, and R. M. Stair. Managerial Decision Modeling with Spreadsheets, 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2007.

Berenson, Mark, Tim Krehbiel, and David Levine. Basic Business Statistics, 11th ed. Upper Saddle River, NJ: Prentice Hall, 2009.

Campbell, Omar. “Forecasting in Direct Selling Business: Tupperware’s Experience.” The Journal of Business Forecasting 27, no. 2 (Summer 2008): 18–19.

Diebold, F. X. Elements of Forecasting, 5th ed. Cincinnati: South-Western College Publishing, 2010.

Fildes, Robert, and Paul Goodwin. “Against Your Better Judgment? How Organizations Can Improve Their Use of Management Judgment in Forecasting.” Decision Sciences 37, no. 6 (November–December 2007): 570–576.

Georgoff, D. M., and R. G. Murdick. “Manager’s Guide to Forecasting.” Harvard Business Review 64 (January–February 1986): 110–120.

Gilliland, M., and M. Leonard. “Forecasting Software—The Past and the Future.” The Journal of Business Forecasting 25, no. 1 (Spring 2006): 33–36.

Hanke, J. E. and D. W. Wichern. Business Forecasting, 9th ed. Upper Saddle River, NJ: Prentice Hall, 2009.

Heizer, Jay. “Forecasting with Stagger Charts.” IIE Solutions 34 (June 2002): 46–49.

Jain, Chaman L. “Benchmarking Forecasting Software and Systems.” The Journal of Business Forecasting 26, no. 4 (Winter 2007/2008): 30–34.

Onkal, D., M. S. Gonul, and M. Lawrence. “Judgmental Adjustments of Previously Adjusted Forecasts.” Decision Sciences 39, no. 2 (May 2008): 213–238.

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall, 2009.

Shah, Piyush. “Techniques to Support Better Forecasting.” APICS Magazine (November/December 2008): 49–50.

Tabatabai, Bijan. “Improving Forecasting.” Financial Management (October 2008): 48–49.

Urs, Rajiv. “How to Use a Demand Planning System for Best Forecasting and Planning Results.” The Journal of Business Forecasting 27, no. 2 (Summer 2008): 22–25.

Wilson, J. H., B. Keating, and J. Galt. Business Forecasting, 6th ed. New York: McGraw-Hill, 2009.

Yurklewicz, Jack. “Forecasting at Steady State.” Analytics (Summer 2008): 42–45.

This page intentionally left blank

Design of Goods and Services

Chapter Outline

GLOBAL COMPANY PROFILE: REGAL MARINE

Goods and Services Selection 126

Generating New Products 129

Product Development 130

Issues for Product Design 135

Ethics, Environmentally-Friendly Designs, and Sustainability 138

Time-Based Competition 140

Defining a Product 142

Documents for Production 144

Service Design 146

Application of Decision Trees to Product Design 149

Transition to Production 150

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

PART TWO Designing Operations (Chapters 5–10)

123

T hirty years after its founding by potato farmer

Paul Kuck, Regal Marine has become a powerful

force on the waters of the world. The world’s

third-largest boat manufacturer (by global sales),

Regal exports to 30 countries, including Russia and

China. Almost one-third of its sales are overseas.

Product design is critical in the highly competitive

pleasure boat business: “We keep in touch with our

customers and we respond to the marketplace,” says Kuck.

“We’re introducing six new models this year alone. I’d say

we’re definitely on the aggressive end of the spectrum.”

With changing consumer tastes, compounded by

material changes and ever-improving marine

engineering, the design function is under constant

pressure. Added to these pressures is the constant

issue of cost competitiveness combined with the need

to provide good value for customers.

Consequently, Regal Marine is a frequent user of

computer-aided design (CAD). New designs come

to life via Regal’s three-dimensional CAD system,

borrowed from automotive technology. Regal’s naval

architects’ goal is to continue to reduce the time

from concept to prototype to production. The

sophisticated CAD system not only has reduced

GLOBAL COMPANY PROFILE: REGAL MARINE

PRODUCT STRATEGY PROVIDES COMPETITIVE ADVANTAGE AT REGAL MARINE

CAD/CAM is used to design the hull of a new product. This process results in faster and more efficient design and production.

Once a hull has been pulled from the mold, it travels down a monorail assembly path. JIT inventory delivers engines, wiring, seats, flooring, and interiors when needed.

product development time but also has reduced

problems with tooling and production, resulting

in a superior product.

All of Regal’s products, from its $14,000 19-foot

boat to the $500,000 44-foot Commodore yacht, follow

a similar production process. Hulls and decks are

separately hand-produced by spraying preformed

molds with three to five layers of a fiberglass

laminate. The hulls and decks harden and are

124

removed to become the lower and upper structure of

the boat. As they move to the assembly line, they are

joined and components added at each workstation.

Wooden components, precut in-house by

computer-driven routers, are delivered on a just-in-

time basis for installation at one station. Engines—

one of the few purchased components—are installed

at another. Racks of electrical wiring harnesses,

engineered and rigged in-house, are then installed.

An in-house upholstery department delivers

customized seats, beds, dashboards, or other

cushioned components. Finally, chrome fixtures are

put in place, and the boat is sent to Regal’s test tank

for watertight, gauge, and system inspection.

Larger boats, such as this luxurious Commodore 4260 Express, are water tested on a lake or ocean. Regal is one of the few boat builders in the world to earn the ISO 9001:2000 quality certification.

At the final stage, smaller boats, such as this one, are placed in this test tank, where a rain machine ensures watertight fits.

125

REGAL MARINE �

Here the deck, suspended from ceiling cranes, is being finished prior to being moved to join the hull.

126 PART 2 Designing Operations

GOODS AND SERVICES SELECTION Global firms like Regal Marine know that the basis for an organization’s existence is the good or service it provides society. Great products are the keys to success. Anything less than an excel- lent product strategy can be devastating to a firm. To maximize the potential for success, top companies focus on only a few products and then concentrate on those products. For instance, Honda’s focus is engines. Virtually all of Honda’s sales (autos, motorcycles, generators, lawn mowers) are based on its outstanding engine technology. Likewise, Intel’s focus is on micro- processors, and Michelin’s is on tires. However, because most products have a limited and even predictable life cycle, companies must constantly be looking for new products to design, develop, and take to market. Good operations managers insist on strong communication among customer, product, processes, and suppliers that results in a high success rate for their new prod- ucts. 3M’s goal is to produce 30% of its profit from products introduced in the last 4 years. Benchmarks, of course, vary by industry; Regal introduces six new boats a year, and Rubbermaid introduces a new product each day!

One product strategy is to build particular competence in customizing an established family of goods or services. This approach allows the customer to choose product variations while rein- forcing the organization’s strength. Dell Computer, for example, has built a huge market by de- livering computers with the exact hardware and software desired by end users. And Dell does it fast—it understands that speed to market is imperative to gain a competitive edge.

Note that many service firms also refer to their offerings as products. For instance, when Allstate Insurance offers a new homeowner’s policy, it is referred to as a new “product.” Simi- larly, when Citicorp opens a mortgage department, it offers a number of new mortgage “prod- ucts.” Although the term products may often refer to tangible goods, it also refers to offerings by service organizations.

An effective product strategy links product decisions with investment, market share, and product life cycle, and defines the breadth of the product line. The objective of the product deci- sion is to develop and implement a product strategy that meets the demands of the marketplace with a competitive advantage. As one of the 10 decisions of OM, product strategy may focus on developing a competitive advantage via differentiation, low cost, rapid response, or a combina- tion of these.

Product Strategy Options Support Competitive Advantage A world of options exists in the selection, definition, and design of products. Product selection is choosing the good or service to provide customers or clients. For instance, hospitals specialize in various types of patients and medical procedures. A hospital’s management may decide to oper- ate a general-purpose hospital or a maternity hospital or, as in the case of the Canadian hospital Shouldice, to specialize in hernias. Hospitals select their products when they decide what kind of hospital to be. Numerous other options exist for hospitals, just as they exist for Taco Bell and Toyota.

Service organizations like Shouldice Hospital differentiate themselves through their prod- uct. Shouldice differentiates itself by offering a distinctly unique and high-quality product. Its

Product decision The selection, definition, and design of products.

VIDEO 5.1 Product Strategy at Regal Marine

Chapter 5 Learning Objectives LO1: Define product life cycle 127

LO2: Describe a product development system 130

LO3: Build a house of quality 132

LO4: Describe how time-based competition is implemented by OM 140

LO5: Describe how products and services are defined by OM 142

LO6: Describe the documents needed for production 145

LO7: Describe customer participation in the design and production of services 146

LO8: Apply decision trees to product issues 149

AUTHOR COMMENT Product strategy is critical to achieving

competitive advantage.

Chapter 5 Design of Goods and Services 127

LO1: Define product life cycle

(b) Technology: Michelin’s latest technology: radical new tires that don’t go flat.

(c) Packaging: Sherwin Williams’s Dutch Boy has revolutionized the paint industry with its square Twist & Pour paint container.

Product Design Can Manifest Itself in Concepts, Technology, and Packaging. Whether it is a design focused on style at Nike (a), the application of technology at Michelin (b), or a new container at Sherwin-Williams (c), operations managers need to remind themselves that the creative process is ongoing with major implications for production.

(a) Concepts: Nike, in its creative way, has moved athletic shoes from utilitarian necessities into glamorous accessories and in the process is constantly reinventing all parts of the shoe, including the heel.

world-renowned specialization in hernia-repair service is so effective it allows patients to return to normal living in 8 days as opposed to the average 2 weeks—and with very few complications. The entire production system is designed for this one product. Local anesthetics are used; patients enter and leave the operating room on their own; rooms are spartan, and meals are served in a common dining room, encouraging patients to get out of bed for meals and join fellow patients in the lounge. As Shouldice has demonstrated, product selection affects the entire production system.

Taco Bell has developed and executed a low-cost strategy through product design. By design- ing a product (its menu) that can be produced with a minimum of labor in small kitchens, Taco Bell has developed a product line that is both low cost and high value. Successful product design has allowed Taco Bell to increase the food content of its products from 27¢ to 45¢ of each sales dollar.

Toyota’s strategy is rapid response to changing consumer demand. By executing the fastest automobile design in the industry, Toyota has driven the speed of product development down to well under 2 years in an industry whose standard is still over 2 years. The shorter design time allows Toyota to get a car to market before consumer tastes change and to do so with the latest technology and innovations.

Product decisions are fundamental to an organization’s strategy and have major implications throughout the operations function. For instance, GM’s steering columns are a good example of the strong role product design plays in both quality and efficiency. The redesigned steering col- umn has a simpler design, with about 30% fewer parts than its predecessor. The result: Assembly time is one-third that of the older column, and the new column’s quality is about seven times higher. As an added bonus, machinery on the new line costs a third less than that on the old line.

Product Life Cycles Products are born. They live and they die. They are cast aside by a changing society. It may be helpful to think of a product’s life as divided into four phases. Those phases are introduction, growth, maturity, and decline.

Product life cycles may be a matter of a few hours (a newspaper), months (seasonal fashions and personal computers), years (video cassette tapes), or decades (Volkswagen Beetle). Regard- less of the length of the cycle, the task for the operations manager is the same: to design a sys- tem that helps introduce new products successfully. If the operations function cannot perform

128 PART 2 Designing Operations

Product-by-value analysis A list of products, in descending order of their individual dollar contribution to the firm, as well as the total annual dollar contribution of the product.

1Contribution is defined as the difference between direct cost and selling price. Direct costs are labor and material that go into the product.

effectively at this stage, the firm may be saddled with losers—products that cannot be produced efficiently and perhaps not at all.

Figure 5.1 shows the four life cycle stages and the relationship of product sales, cash flow, and profit over the life cycle of a product. Note that typically a firm has a negative cash flow while it develops a product. When the product is successful, those losses may be recovered. Eventually, the successful product may yield a profit prior to its decline. However, the profit is fleeting— hence, the constant demand for new products.

Life Cycle and Strategy Just as operations managers must be prepared to develop new products, they must also be pre- pared to develop strategies for new and existing products. Periodic examination of products is appropriate because strategies change as products move through their life cycle. Successful product strategies require determining the best strategy for each product based on its position in its life cycle. A firm, therefore, identifies products or families of products and their position in the life cycle. Let us review some strategy options as products move through their life cycles.

Introductory Phase Because products in the introductory phase are still being “fine-tuned” for the market, as are their production techniques, they may warrant unusual expenditures for (1) research, (2) product development, (3) process modification and enhancement, and (4) supplier development. For example, when cellular phones were first introduced, the features desired by the public were still being determined. At the same time, operations managers were still groping for the best manufacturing techniques.

Growth Phase In the growth phase, product design has begun to stabilize, and effective fore- casting of capacity requirements is necessary. Adding capacity or enhancing existing capacity to accommodate the increase in product demand may be necessary.

Maturity Phase By the time a product is mature, competitors are established. So high-volume, innovative production may be appropriate. Improved cost control, reduction in options, and a par- ing down of the product line may be effective or necessary for profitability and market share.

Decline Phase Management may need to be ruthless with those products whose life cycle is at an end. Dying products are typically poor products in which to invest resources and managerial tal- ent. Unless dying products make some unique contribution to the firm’s reputation or its product line or can be sold with an unusually high contribution, their production should be terminated.1

Product-by-Value Analysis The effective operations manager selects items that show the greatest promise. This is the Pareto principle (i.e., focus on the critical few, not the trivial many) applied to product mix: Resources are to be invested in the critical few and not the trivial many. Product-by-value analysis lists products in descending order of their individual dollar contribution to the firm. It also lists the total annual dollar contribution of the product. Low contribution on a per-unit basis by a particu- lar product may look substantially different if it represents a large portion of the company’s sales.

A product-by-value report allows management to evaluate possible strategies for each prod- uct. These may include increasing cash flow (e.g., increasing contribution by raising selling price

Introduction Growth Maturity Decline

Cost of development and production

S a le

s, c

o st

, a n d c

a sh

f lo

w Sales revenue

Loss

Net revenue (profit)

Cash flow

Negative cash flow

� FIGURE 5.1 Product Life Cycle, Sales, Cost, and Profit

or lowering cost), increasing market penetration (improving quality and/or reducing cost or price), or reducing costs (improving the production process). The report may also tell manage- ment which product offerings should be eliminated and which fail to justify further investment in research and development or capital equipment. Product-by-value analysis focuses manage- ment’s attention on the strategic direction for each product.

GENERATING NEW PRODUCTS Because products die; because products must be weeded out and replaced; because firms gener- ate most of their revenue and profit from new products—product selection, definition, and de- sign take place on a continuing basis. Consider recent product changes: TV to HDTV, radio to satellite radio, coffee shops to Starbucks lifestyle coffee, traveling circuses to Cirque du Soleil, land lines to cell phones, cell phone to Blackberry, Walkman to iPod, mops to Swiffers—and the list goes on. Knowing how to successfully find and develop new products is a requirement.

New Product Opportunities Aggressive new product development requires that organizations build structures internally that have open communication with customers, innovative organizational cultures, aggressive R&D, strong leadership, formal incentives, and training. Only then can a firm profitably and energeti- cally focus on specific opportunities such as the following:

1. Understanding the customer is the premier issue in new-product development. Many com- mercially important products are initially thought of and even prototyped by users rather than producers. Such products tend to be developed by “lead users”—companies, organiza- tions, or individuals that are well ahead of market trends and have needs that go far beyond those of average users. The operations manager must be “tuned in” to the market and partic- ularly these innovative lead users.

2. Economic change brings increasing levels of affluence in the long run but economic cycles and price changes in the short run. In the long run, for instance, more and more people can afford automobiles, but in the short run, a recession may weaken the demand for automobiles.

3. Sociological and demographic change may appear in such factors as decreasing family size. This trend alters the size preference for homes, apartments, and automobiles.

4. Technological change makes possible everything from cell phones to iPods to artificial hearts. 5. Political/legal change brings about new trade agreements, tariffs, and government requirements. 6. Other changes may be brought about through market practice, professional standards,

suppliers, and distributors.

Operations managers must be aware of these dynamics and be able to anticipate changes in prod- uct opportunities, the products themselves, product volume, and product mix.

Importance of New Products The importance of new products cannot be overestimated. As Figure 5.2(a) shows, leading com- panies generate a substantial portion of their sales from products less than 5 years old. Even Disney (Figure 5.2(b)) needs new theme parks to boost attendance. And giant Cisco Systems is expanding from its core business of making routers and switches into building its own computer servers (Figure 5.2(c)). The need for new products is why Gillette developed its multi-blade razors, in spite of continuing high sales of its phenomenally successful Sensor razor and why Disney innovates in spite of being the leading family entertainment company in the world.

Despite constant efforts to introduce viable new products, many new products do not succeed. Indeed, for General Mills to come up with a winner in the breakfast cereal market—defined as a cereal that gets a scant half of 1% of the market—isn’t easy. Among the top 10 brands of cereal, the youngest, Honey Nut Cheerios, was created in 1979. DuPont estimates that it takes 250 ideas to yield one marketable product.2

Chapter 5 Design of Goods and Services 129

AUTHOR COMMENT Societies reward those

who supply new products that reflect their needs.

2Rosabeth Kanter, John Kao, and Fred Wiersema, Innovation Breakthrough Thinking at 3M, DuPont, GE, Pfizer, and Rubbermaid (New York: HarperBusiness, 1997).

130 PART 2 Designing Operations

As one can see, product selection, definition, and design occur frequently—perhaps hundreds of times for each financially successful product. Operations managers and their organizations must be able to accept risk and tolerate failure. They must accommodate a high volume of new product ideas while maintaining the activities to which they are already committed.

PRODUCT DEVELOPMENT Product Development System An effective product strategy links product decisions with cash flow, market dynamics, product life cycle, and the organization’s capabilities. A firm must have the cash for product develop- ment, understand the changes constantly taking place in the marketplace, and have the necessary talents and resources available. The product development system may well determine not only product success but also the firm’s future. Figure 5.3 shows the stages of product development. In this system, product options go through a series of steps, each having its own screening and evaluation criteria, but providing a continuing flow of information to prior steps.

The screening process extends to the operations function. Optimum product development de- pends not only on support from other parts of the firm but also on the successful integration of all 10 of the OM decisions, from product design to maintenance. Identifying products that appear

LO2: Describe a product development system

In m

il li o

n s o

f v is

it o

rs

0

10

20

30

40

50

’93 ’95 ’97 ’99 ’01 ’03 ’05 ’07 Animal Kingdom Disney-Hollywood Studios Epcot Magic Kingdom

P e rc

e n

t o

f s a le

s f

ro m

n e w

p ro

d u

c ts

Position of firm in its industry

Disney attendance by year

(a)

(b)

B il li o

n s o

f d

o ll a rs

0

10

5

15

25

20

30

35

’02 ’03 ’04 ’05 ’06 ’07 ’08 Routers

Switches

Other

Cisco product revenue by year

(c)

50%

Industry leader

The higher the percentage of sales from the last 5 years, the more likely the firm is to be a leader.

Disney World innovates with new parks, rides, and attractions to boost attendance.

Much of Cisco’s growth has come from new non-networking products.

Top third

Middle third

Bottom third

40%

30%

20%

10%

0%

� FIGURE 5.2 Innovation and New Products Yield Results for Both Manufacturing and Services

AUTHOR COMMENT Motorola went through 3,000

working models before it developed its first pocket

cell phone.

Source: The Orlando Sentinel and trade magazines.

Source: Cisco Systems, Inc.

Lightweight

Easy to use

Reliable

Easy to hold steady

Color correction

Lo w

e le

ct ric

ity re

qu ire

m en

ts

A lu

m in

u m

c o m

p o n e n ts

A u to

f o cu

s

A u to

e xp

o su

re

P a in

t p a lle

t

E rg

o n o m

ic d

e si

g n

Overlay 1. First, through market research, Great Cameras, Inc., determined what the customer wants. Those wants are shown on the left of the house of quality. Second, the product development team determined how the organization is going to translate those customer wants into product design and process attribute targets. These hows are entered across the top portion of the house of quality.

Our importance ratings 22 9 27 27 32 25

3

4

5

2

1

of 25 = (1 � 3) + (3 � 4) + (2 � 5)

High relationship (5)

Medium relationship (3)

Low relationship (1) Overlay 2. Third, the team evaluated each of the customer wants against the hows. In the relationship matrix of the house, the team evaluated how well its design meets customer needs. Fourth, the “roof” of the house, indicates the relationship between the attributes. Fifth, the team developed importance ratings for its design attributes on the bottom row of the table. This was done by assigning values (5 for high, 3 for medium, and 1 for low) to each entry in the relationship matrix, and then multiplying each of these values by the customer’s importance rating. The values in |the “Our importance ratings” row provide a ranking of how to proceed with product and process design, with the highest values being the most critical to a successful product.

Overlay 3. Sixth, the house of quality is also used for the evaluation of competitors. The two columns on the right indicate how market research thinks competitors, A and B, satisfy customer wants (Good, Fair, or Poor). Products from other firms and even the proposed product can be added next to company B.

G

G

F

G

P

P

P

G

P

P

C o m

p a n y

A

C o m

p a n y

B

0. 5

A

7 5 %

2' t o ∞

2 c

ir cu

its

F a ilu

re 1

p e r

1 0 ,0

0 0

P a n e l r

a n ki

n g

0.7

0.6

0.5

60%

50%

75%

yes

yes

yes

1

2

2

ok

ok

ok

G

F

G

Overlay 4. Seventh, the team identifies the technical attributes and evaluates how well Great Cameras, Inc., and its competitors address these attributes. Here the team decided on the noted technical attributes.

Chapter 5 Design of Goods and Services 131

likely to capture market share, be cost effective, and profitable, but are in fact very difficult to produce, may lead to failure rather than success.

Quality Function Deployment (QFD) Quality function deployment (QFD) refers to both (1) determining what will satisfy the cus- tomer and (2) translating those customer desires into the target design. The idea is to capture a rich understanding of customer wants and to identify alternative process solutions. This informa- tion is then integrated into the evolving product design. QFD is used early in the design process to help determine what will satisfy the customer and where to deploy quality efforts.

One of the tools of QFD is the house of quality. The house of quality is a graphic technique for defining the relationship between customer desires and product (or service). Only by defining this relationship in a rigorous way can operations managers design products and processes with features desired by customers. Defining this relationship is the first step in building a world-class production system. To build the house of quality, we perform seven basic steps:

1. Identify customer wants. (What do prospective customers want in this product?) 2. Identify how the good/service will satisfy customer wants. (Identify specific product charac-

teristics, features, or attributes and show how they will satisfy customer wants.) 3. Relate customer wants to product hows. (Build a matrix, as in Example 1, that shows this

relationship.) 4. Identify relationships between the firm’s hows. (How do our hows tie together? For instance,

in the following example, there is a high relationship between low electricity requirements and auto focus, auto exposure, and a paint pallet because they all require electricity. This relationship is shown in the “roof” of the house in Example 1.)

Quality function deployment (QFD) A process for determining customer requirements (customer “wants”) and translating them into the attributes (the “hows”) that each functional area can understand and act on.

House of quality A part of the quality function deployment process that utilizes a planning matrix to relate cus- tomer “wants” to “how” the firm is going to meet those “wants.”

Scope for

design and

engineering teams

Scope of

product development

team

Design review: Are these product specifications the best way to meet

customer requirements?

Functional specifications: How the product will work

Customer requirements to win orders

Does firm have ability to carry out idea?

Ideas from many sources

Product specifications: How the product will be made

Test market: Does product meet customer expectations?

Introduction to market

Evaluation (success?)

� FIGURE 5.3 Product Development Stages Product concepts are developed from a variety of sources, both external and internal to the firm. Concepts that survive the product idea stage progress through various stages, with nearly constant review, feedback, and evaluation in a highly participative environment to minimize failure.

132 PART 2 Designing Operations

5. Develop importance ratings. (Using the customer’s importance ratings and weights for the relationships shown in the matrix, compute our importance ratings, as in Example 1.)

6. Evaluate competing products. (How well do competing products meet customer wants? Such an evaluation, as shown in the two columns on the right of the figure in Example 1, would be based on market research.)

7. Determine the desirable technical attributes, your performance, and the competitor’s per- formance against these attributes. (This is done at the bottom of the figure in Example 1).

The following series of overlays for Example 1 show how to construct a house of quality.

EXAMPLE 1 � Constructing a house of quality

Great Cameras, Inc., wants a methodology that strengthens its ability to meet customer desires with its new digital camera.

APPROACH � Use QFD’s house of quality.

SOLUTION � Build the house of quality for Great Cameras, Inc. We do so here using Overlays 1, 2, 3, and 4.

Quality Function Deployment’s (QFD) House of Quality

Relationship between the things we can do

What we can do (how the organization is going to translate customer wants into product and process attributes and design targets)

G = good F = fair P = poor

How well what we do meets the customer’s wants (relationship matrix)

Customer importance

ratings (5 = highest)

What the customer

wants

Weighted rating

Competitive assessment

Target values (technical attributes)

Technical evaluation

LO3: Build a house of quality

Chapter 5 Design of Goods and Services 133

INSIGHT � QFD provides an analytical tool that structures design features and technical issues, as well as providing importance rankings and competitor comparison.

LEARNING EXERCISE � If the market research for another country indicates that “light- weight” has the most important customer ranking (5), and reliability a 3, what is the new total impor- tance ranking for low electricity requirements, aluminum components, and ergonomic design? [Answer: 18, 15, 27, respectively.]

RELATED PROBLEMS � 5.1, 5.2, 5.3, 5.4

Another use of quality function deployment (QFD) is to show how the quality effort will be deployed. As Figure 5.4 shows, design characteristics of House 1 become the inputs to House 2, which are satisfied by specific components of the product. Similarly, the concept is carried to House 3, where the specific components are to be satisfied through particular production processes. Once those production processes are defined, they become requirements of House 4 to be satisfied by a quality plan that will ensure conformance of those processes. The quality plan is a set of specific tolerances, procedures, methods, and sampling techniques that will ensure that the production process meets the customer requirements.

Much of the QFD effort is devoted to meeting customer requirements with design characteris- tics (House 1 in Figure 5.4), and its importance is not to be underestimated. However, the sequence of houses is a very effective way of identifying, communicating, and allocating resources throughout the system. The series of houses helps operations managers determine where to deploy quality resources. In this way we meet customer requirements, produce quality products, and win orders.

Organizing for Product Development Let’s look at four approaches to organizing for product development. First, the traditional U.S. approach to product development is an organization with distinct departments: a research and development department to do the necessary research; an engineering department to design the product; a manufacturing engineering department to design a product that can be produced; and a production department that produces the product. The distinct advantage of this approach is that fixed duties and responsibilities exist. The distinct disadvantage is lack of forward thinking: How will downstream departments in the process deal with the concepts, ideas, and designs pre- sented to them, and ultimately what will the customer think of the product?

A second and popular approach is to assign a product manager to “champion” the product through the product development system and related organizations. However, a third, and per- haps the best, product development approach used in the U.S. seems to be the use of teams. Such teams are known variously as product development teams, design for manufacturability teams, and value engineering teams.

Design characteristics

C u st

o m

e r

re q u ir e m

e n ts

Specific components

D e si

g n

ch a ra

ct e ri st

ic s

Production process

S p e ci

fic co

m p o n e n ts

House 4

Quality plan

P ro

d u

c ti

o n

p ro

c e s s

House 1

House 2

House 3

� FIGURE 5.4 House of Quality Sequence Indicates How to Deploy Resources to Achieve Customer Requirements

134 PART 2 Designing Operations

The Japanese use a fourth approach. They bypass the team issue by not subdividing organiza- tions into research and development, engineering, production, and so forth. Consistent with the Japanese style of group effort and teamwork, these activities are all in one organization. Japanese culture and management style are more collegial and the organization less structured than in most Western countries. Therefore, the Japanese find it unnecessary to have “teams” provide the necessary communication and coordination. However, the typical Western style, and the conven- tional wisdom, is to use teams.

Product development teams are charged with the responsibility of moving from market requirements for a product to achieving a product success (refer to Figure 5.3 on page 131). Such teams often include representatives from marketing, manufacturing, purchasing, quality assurance, and field service personnel. Many teams also include representatives from ven- dors. Regardless of the formal nature of the product development effort, research suggests that success is more likely in an open, highly participative environment where those with potential contributions are allowed to make them. The objective of a product development team is to make the good or service a success. This includes marketability, manufacturability, and serviceability.

Use of such teams is also called concurrent engineering and implies a team representing all affected areas (known as a cross-functional team). Concurrent engineering also implies speedier product development through simultaneous performance of various aspects of product develop- ment.3 The team approach is the dominant structure for product development by leading organi- zations in the U.S.

Manufacturability and Value Engineering Manufacturability and value engineering activities are concerned with improvement of design and specifications at the research, development, design, and production stages of product devel- opment. (See the OM in Action box “Design Challenges with Trident’s Splash.”) In addition to immediate, obvious cost reduction, design for manufacturability and value engineering may pro- duce other benefits. These include:

1. Reduced complexity of the product. 2. Reduction of environmental impact. 3. Additional standardization of components. 4. Improvement of functional aspects of the product.

Cadbury Schweppes PLC sells a lot of gum—Dentyne, Bubbaloo, and Trident—some $4.2 billion of a $15.4 billion market that is growing about 6% per year. However, Cadbury perceived a niche for a new gum that would be a low calorie substitute for unhealthy snacks. Cadbury wanted the new product to compete with the creamy or crunchy mouth experience one gets from snacks other than gum.

The R&D team eventually designed a unique three-layer pellet with a candy shell over sugarless gum with a liquid center. For the liquid center Cadbury scientists evaluated scores of long lasting flavors before settling on two unusual blends: strawberry-lime and peppermint-vanilla.

Development wasn’t easy; neither was designing a product that could be produced. Although Cadbury acquired the liquid center technology from Pfizer, some of the flavors were too water-soluble—making the gum soft.

Early formulations leaked during production. Others survived production only to fail when subjected to the punishment of transportation.

Adding to production problems was the lack of sugar in the gum. Sugar traditionally adds strength and bulk to aid the production process, but with artificial sweeteners, the centers were not strong enough for the application of the candy coating. The machinery crushed the weakened pellets and the liquid flavors oozed out. This in turn contributed to some messy production equipment.

It took two years and millions of dollars, but Cadbury’s biggest ever new-product development effort, Trident Splash, is now on the market.

Sources: The Wall Street Journal (January 12, 2006): A1, A8; Fortune (April 3, 2006): 33

OM in Action �Design Challenges with Trident’s Splash

Product development teams Teams charged with moving from market requirements for a product to achieving product success.

Concurrent engineering Use of participating teams in design and engineering activities.

Manufacturability and value engineering Activities that help improve a product’s design, production, maintainability, and use.

3Firms that have high technological or product change in their competitive environment tend to use more concurrent engineering practices. See X. Koufteros, M. Vonderembse, and W. Doll, “Concurrent Engineering and Its Consequences,” Journal of Operations Management 19, no. 1 (January 2001): 97–115.

Chapter 5 Design of Goods and Services 135

5. Improved job design and job safety. 6. Improved maintainability (serviceability) of the product. 7. Robust design.

Manufacturability and value engineering activities may be the best cost-avoidance technique available to operations management. They yield value improvement by focusing on achieving the functional specifications necessary to meet customer requirements in an optimal way. Value engineering programs, when effectively managed, typically reduce costs between 15% and 70% without reducing quality. Some studies have indicated that for every dollar spent on value engi- neering, $10 to $25 in savings can be realized.

Product design affects virtually all aspects of operating expense and sustainability. Consequently, the development process needs to ensure a thorough evaluation of design prior to a commitment to produce. The cost reduction achieved for a specific bracket via value engineer- ing is shown in Figure 5.5

ISSUES FOR PRODUCT DESIGN In addition to developing an effective system and organization structure for product develop- ment, several techniques are important to the design of a product. We will now review six of these: (1) robust design, (2) modular design, (3) computer-aided design (CAD), (4) computer- aided manufacturing (CAM), (5) virtual reality technology, and (6) value analysis.

Robust Design Robust design means that the product is designed so that small variations in production or assembly do not adversely affect the product. For instance, Lucent developed an integrated cir- cuit that could be used in many products to amplify voice signals. As originally designed, the cir- cuit had to be manufactured very expensively to avoid variations in the strength of the signal. But after testing and analyzing the design, Lucent engineers realized that if the resistance of the cir- cuit was reduced—a minor change with no associated costs—the circuit would be far less sensi- tive to manufacturing variations. The result was a 40% improvement in quality.

Modular Design Products designed in easily segmented components are known as modular designs. Modular designs offer flexibility to both production and marketing. Operations managers find modularity helpful because it makes product development, production, and subsequent changes easier. Moreover, marketing may like modularity because it adds flexibility to the ways customers can be satisfied. For instance, virtually all premium high-fidelity sound systems are produced and sold this way. The customization provided by modularity allows customers to mix and match to their own taste. This is also the approach taken by Harley-Davidson, where relatively few different engines, chassis, gas tanks, and suspension systems are mixed to produce a huge variety of motor- cycles. It has been estimated that many automobile manufacturers can, by mixing the available modules, never make two cars alike. This same concept of modularity is carried over to many industries, from airframe manufacturers to fast-food restaurants. Airbus uses the same wing mod- ules on several planes, just as McDonald’s and Burger King use relatively few modules (cheese, lettuce, buns, sauces, pickles, meat patties, french fries, etc.) to make a variety of meals.

1 3

$3.50 $2.00

2

$.80

� FIGURE 5.5 Cost Reduction of a Bracket via Value Engineering

AUTHOR COMMENT Each time the bracket

is redesigned and simplified, we are able to

produce it for less.

Robust design A design that can be produced to requirements even with unfavorable conditions in the production process.

Modular design A design in which parts or components of a product are subdivided into modules that are easily interchanged or replaced.

Computer-Aided Design (CAD) Computer-aided design (CAD) is the use of computers to interactively design products and pre- pare engineering documentation. Use and variety of CAD software is extensive and is rapidly expanding. CAD software allows designers to use three-dimensional drawings to save time and money by shortening development cycles for virtually all products (see the 3-D design photos below). The speed and ease with which sophisticated designs can be manipulated, analyzed, and modified with CAD makes review of numerous options possible before final commitments are made. Faster development, better products, accurate flow of information to other departments—all contribute to a tremendous payoff for CAD. The payoff is particularly significant because most product costs are determined at the design stage.

One extension of CAD is design for manufacture and assembly (DFMA) software, which focuses on the effect of design on assembly. It allows designers to examine the integration of product designs before the product is manufactured. For instance, DFMA allows automobile designers to examine how a transmission will be placed in a car on the production line, even while both the transmission and the car are still in the design stage.

A second CAD extension is 3-D object modeling. The technology is particularly useful for small prototype development (as shown in the photo on page 137). 3-D object modeling rapidly builds up a model in very thin layers of synthetic materials for evaluation. This technology speeds development by avoiding a more lengthy and formal manufacturing process. 3-D printers, costing as little as $5,000, are also now available. Shoemaker Timberland, Inc., uses theirs to allow footwear designers to see their constructions overnight rather than waiting a week for model-mak- ers to carve them.

Some CAD systems have moved to the Internet through e-commerce, where they link com- puterized design with purchasing, outsourcing, manufacturing, and long-term maintenance. This move supports rapid product change and the growing trend toward “mass customization.” With CAD on the Internet, customers can enter a supplier’s design libraries and make design changes. The supplier’s software can then automatically generate the drawings, update the bill of material, and prepare instructions for the supplier’s production process. The result is customized products produced faster and at less expense.

As product life cycles shorten and design becomes more complex, collaboration among depart- ments, facilities and suppliers throughout the world becomes critical. The potential of such collab- oration has proven so important that a standard for its exchange has been developed, known as the standard for the exchange of product data (STEP). STEP permits manufacturers to express

136 PART 2 Designing Operations

Computer-aided design (CAD) Interactive use of a computer to develop and document a product.

Design for manufacture and assembly (DFMA) Software that allows designers to look at the effect of design on manufacturing of the product.

3-D object modeling An extension of CAD that builds small prototypes.

Standard for the exchange of product data (STEP) A standard that provides a format allowing the electronic transmittal of three-dimensional data.

The increasing sophistication of CAD software provides (a) 3D solid design, (b) integrated assembly, and (c) analysis of stress, pressure, and thermal issues, which improves design, speeds the design process, and provides computer code for CAM equipment while reducing costs.

(a)

(b)

(c)

Chapter 5 Design of Goods and Services 137

3-D product information in a standard format so it can be exchanged internationally, allowing geo- graphically dispersed manufacturers to integrate design, manufacture, and support processes.4

Computer-Aided Manufacturing (CAM) Computer-aided manufacturing (CAM) refers to the use of specialized computer programs to direct and control manufacturing equipment. When computer-aided design (CAD) information is translated into instructions for computer-aided manufacturing (CAM), the result of these two technologies is CAD/CAM.

The benefits of CAD and CAM include:

1. Product quality: CAD permits the designer to investigate more alternatives, potential prob- lems, and dangers.

2. Shorter design time: A shorter design phase lowers cost and allows a more rapid response to the market.

3. Production cost reductions: Reduced inventory, more efficient use of personnel through improved scheduling, and faster implementation of design changes lower costs.

4. Database availability: Provides information for other manufacturing software and accurate prod- uct data so everyone is operating from the same information, resulting in dramatic cost reductions.

5. New range of capabilities: For instance, the abilities to rotate and depict objects in three- dimensional form, to check clearances, to relate parts and attachments, and to improve the use of numerically controlled machine tools—all provide new capability for manufacturing. CAD/CAM removes substantial detail work, allowing designers to concentrate on the con- ceptual and imaginative aspects of their task.

Virtual Reality Technology Virtual reality is a visual form of communication in which images substitute for the real thing but still allow the user to respond interactively. The roots of virtual reality technology in opera- tions are in computer-aided design. Once design information is in a CAD system, it is also in electronic digital form for other uses, such as developing 3-D layouts of everything from restau- rants to amusement parks. Changes to mechanical design, restaurant layouts, or amusement park rides are much less expensive at the design stage than later.

Value Analysis Although value engineering (discussed on page 134) focuses on preproduction design improve- ment, value analysis, a related technique, takes place during the production process, when it is clear that a new product is a success. Value analysis seeks improvements that lead to either a better product, or a product made more economically, or a product with less environmental impact. The techniques and advantages for value analysis are the same as for value engineering, although minor changes in implementation may be necessary because value analysis is taking place while the product is being produced.

Computer-aided manufacturing (CAM) The use of information technology to control machinery.

Virtual reality A visual form of communication in which images substitute for reality and typically allow the user to respond interactively.

Value analysis A review of successful products that takes place during the production process.

4The STEP format is documented in the European Community’s standard ISO 10303.

This prototype wheel for a tire (at the left of the photo) is being built using 3-D System’s Stereolithography technology, a 3-D object modeling system. This technology uses data from CAD and builds structures layer by layer in .001-inch increments. The technique reduces the time it takes to create a sample from weeks to hours while also reducing costs. The technique is also known as rapid prototyping.

ETHICS, ENVIRONMENTALLY-FRIENDLY DESIGNS, AND SUSTAINABILITY An operations manager’s task is to enhance productivity while delivering desired goods and ser- vices in an ethical, environmentally sound, and sustainable way. In an OM context, sustainability means ecological stability. This means operating a production system in a way that supports conservation and renewal of resources. The entire product life cycle—from design, to production, to final destruction or recycling—provides an opportunity to preserve resources. Planet Earth is finite; managers who squeeze more out of its resources are its heroes. The good news is that operations managers have tools that can drive down costs or improve margins while preserving resources. Here are examples of how firms do so:

• At the design stage: DuPont developed a polyester film stronger and thinner so it uses less material and costs less to make. Also, because the film performs better, customers are willing to pay more for it. Similarly, Nike’s new Air Jordan shoe contains very little chemical-based glue and an outsole made of recycled material, yielding lower manufacturing cost and less impact on the environment.

• At the production stage: Bristol-Myers Squibb established an environmental and pollution prevention program designed to address environmental, health, and safety issues at all stages of the product life cycle. Ban Roll-On was one of the first products studied and an early suc- cess. Repackaging Ban in smaller cartons resulted in a reduction of 600 tons of recycled paperboard. The product then required 55% less shelf space for display. As a result, not only is pollution prevented but store operating costs are also reduced.

• At the destruction stage: The automobile industry has been very successful: The industry now recycles more than 84% of the material by weight of 13 million cars scrapped each year. Much of this success results from care at the design stage. For instance, BMW, with environ- mentally friendly designs, recycles most of a car, including many plastic components (see the photo).

These efforts are consistent with the environmental issues raised by the ISO 14000 standard, a topic we address in Chapter 6.

Systems and Life Cycle Perspectives One way to accomplish programs like those at DuPont, Bristol-Myers Squibb, and BMW is to add an ethical and environmental charge to the job of operations managers and their value engi- neering/analysis teams. Team members from different functional areas working together can pre- sent a wide range of environmental perspectives and approaches. Managers and teams should consider two issues.

First, they need to view products from a “systems” perspective—that is, view a product in terms of its impact on sustainability—ecological stability. This means taking a comprehensive look at the inputs to the firm, the processes, and the outputs, recognizing that some of the resources, long considered free, are in fact not free. Particulates and sulfur in the air are pollution for someone else; similarly, bacteria and phosphates in the water going downstream become

138 PART 2 Designing Operations

Sustainability A production system that supports conservation and renewal of resources.

AUTHOR COMMENT OM can do a lot to save

our planet. Saving the planet is good business and

good ethics.

BMW uses parts made of recycled plastics (blue) and parts that can be recycled (green). “Green manufacturing” means companies can reuse, refurbish, or dispose of a product’s components safely and reduce total life cycle product costs.

Chapter 5 Design of Goods and Services 139

someone else’s problem. In the case of the battle between styrofoam and paper containers, which one is really “better,” and by what criteria? We may know which is more economical for the firm, but is that one also most economical for society?

Second, operations managers must consider the life cycle of the product, that is, from design, through production, to final disposition. This can be done via value engineering, as noted earlier, or as a part of a life cycle assessment (LCA) initiative. LCA is part of the ISO 14000 environ- mental management standard. The goal is to reduce the environmental impact of a product throughout its life—a challenging task.

The likelihood that ethical decisions will be made is enhanced when managers maintain these two perspectives and maintain an open dialogue among all stakeholders.

Goals Consistent with the two issues above, goals for ethical, environment-friendly designs are:

1. Develop safe and more environmentally sound products. 2. Minimize waste of raw materials and energy. 3. Reduce environmental liabilities. 4. Increase cost-effectiveness of complying with environmental regulations. 5. Be recognized as a good corporate citizen.

Guidelines The following six guidelines may help operations managers achieve ethical and environmentally-friendly designs:

1. Make products recyclable: Many firms are doing this on their own, but the U.S. and the EU now have take-back laws that affect a variety of products, from automobiles and tires to computers. Not only is most of a car recycled but so are over half the aluminum cans and a large portion of paper, plastic, and glass. In some cases, as with tires, the manufacturer is responsible for 100% disposal.

2. Use recycled materials: Scotch-Brite soap pads at 3M are designed to use recycled plastics, as are the park benches and other products made by Plastic Recycling Corporation. Recycled plastics and old clothing are making their way into seat upholstery for the Ford Escape hybrid sport-utility. This application has added benefits: it’s waterproof and it will save 600,000 gallons of water, 1.8 million pounds of carbon doxide, and more than 7 million kilowatt hours of electricity per year.5

3. Use less harmful ingredients: Standard Register, like most of the printing industry, has replaced environmentally dangerous inks with soy-based inks that reduce air and water pollution.

4. Use lighter components: The auto and truck industries continue to expand the use of alu- minum and plastic components to reduce weight. Mercedes is even building car exteriors from a banana plant fiber that is both biodegradable and lightweight. Similarly, Boeing is using carbon fiber, epoxy composites, and titanium graphite laminate to reduce weight in its new 787 Dreamliner. These changes can be expensive, but they make autos, trucks, and air- craft more environmentally friendly by improving payload and fuel efficiency.

5. Use less energy: While the auto, truck, and airframe industries are redesigning to improve mileage, General Electric is designing a new generation of refrigerators that requires sub- stantially less electricity during their lifetime. DuPont is so good at energy efficiency that it has turned its expertise into a consulting business.

6. Use less material: Organizations fight to drive down material use—in the plant and in the packaging. An employee team at a Sony semiconductor plant achieved a 50% reduction in the amount of chemicals used in the silicon wafer etching process. And Frito-Lay’s U.S. plants have driven down water consumption over 31% in the past 10 years, with a goal of 75% reduction by 2017. These and similar successes reduce both production costs and envi- ronmental concerns. To conserve packaging, Boston’s Park Plaza Hotel eliminated bars of soap and bottles of shampoo by installing pump dispensers in its bathrooms, saving the need for a million plastic containers a year.

Laws and Industry Standards Laws and industry standards can help operations managers make ethical and socially responsible decisions. In the last 100 years we have seen development of legal and industry standards to guide managers in product design, manufacture/assembly, and disassembly/disposal.

Life cycle assessment (LCA) Part of ISO 14000; assesses the environmental impact of a product, from material and energy inputs to disposal and environmental releases.

5“Vehicles That Use Recycled Material,” The Wall Street Journal (January 25, 2007): D6.

Design: On the legal side, U.S. laws and regulations such as those promulgated by the Food and Drug Administration, Consumer Product Safety Commission, National Highway Safety Administration, and Children’s Product Safety Act provide guidance, if not explicit law, to aid deci- sion making. Guidance is also provided by phrases in case law like “design for foreseeable misuse” and in regard to children’s toys, “The concept of a prudent child is . . . a grotesque combination.”

Manufacture/assembly: The manufacture and assembly of products has standards and guide- lines from the Occupational Safety and Health Administration (OSHA), Environmental Protection Agency (EPA), professional ergonomic standards, and a wide range of state and fed- eral laws that deal with employment standards, disabilities, discrimination, and the like.

Disassembly/disposal: Product disassembly and disposal in the U.S., Canada, and the EU are governed by increasingly rigid laws. In the U.S., the Vehicle Recycling Partnership, supported by the auto industry, provides Design for Disassembly Standards for auto disassembly and disposal. However, in the fragmented electronics industry, safe disposal of TVs, computers, and cell phones is much more difficult and dangerous (see the photos above).

Ethical, socially responsible decisions can be difficult and complex—often with no easy answers—but such decisions are appreciated by the public, and they can save money, material, and the environment. These are the types of win–win situations that operations managers seek.

TIME-BASED COMPETITION As product life cycles shorten, the need for faster product development increases. Additionally, as technological sophistication of new products increases, so do the expense and risk. For instance, drug firms invest an average of 12 to 15 years and $600 million before receiving regulatory approval of each new drug. And even then, only 1 of 5 will actually be a success. Those operations managers who master this art of product development continually gain on slower product develop- ers. To the swift goes the competitive advantage. This concept is called time-based competition.

Often, the first company into production may have its product adopted for use in a variety of applications that will generate sales for years. It may become the “standard.” Consequently, there is often more concern with getting the product to market than with optimum product design or process efficiency. Even so, rapid introduction to the market may be good management because until competition begins to introduce copies or improved versions, the product can sometimes be priced high enough to justify somewhat inefficient production design and methods. For example, when Kodak first introduced its Ektar film, it sold for 10% to 15% more than conventional film and Apple’s innovative iPod and new versions have a 75% market share even after 5 years.

Because time-based competition is so important, instead of developing new products from scratch (which has been the focus thus far in this chapter) a number of other strategies can be used. Figure 5.6 shows a continuum that goes from new, internally developed products (on the lower left) to “alliances.” Enhancements and migrations use the organization’s existing product strengths for innovation and therefore are typically faster while at the same time being less risky than developing entirely new products. Enhancements may be changes in color, size, weight, or features, such as are taking place in cellular phones (see OM in Action box “Chasing Fads in the Cell Phone Industry”), or even changes in commercial aircraft. Boeing’s enhancements of the 737 since its introduction in 1967 has made the 737 the largest-selling commercial aircraft in

140 PART 2 Designing Operations

With increasing restrictions on disposal of TVs, cell phones, computers, and other electronic waste, much of such waste (left) ends its life in Guangdong province on China’s southern coast (right). Here, under less- than-ideal conditions, Chinese women strip old circuit boards to salvage the chips.

AUTHOR COMMENT Fast communication,

rapid technological change, and short product life cycles push product

development.

Time-based competition Competition based on time; rapidly developing products and moving them to market.

LO4: Describe how time-based competition is implemented by OM

Chapter 5 Design of Goods and Services 141

history. Boeing also uses its engineering prowess in air frames to migrate from one model to the next. This allows Boeing to speed development while reducing both cost and risk for new designs. This approach is also referred to as building on product platforms. Black & Decker has used its “platform” expertise in hand-powered tools to build a leading position in that market. Similarly, Hewlett-Packard has done the same in the printer business. Enhancements and migra- tions are a way of building on existing expertise and extending a product’s life cycle.

The product development strategies on the lower left of Figure 5.6 are internal development strategies, while the three approaches we now introduce can be thought of as external devel- opment strategies. Firms use both. The external strategies are (1) purchase the technology, (2) establish joint ventures, and (3) develop alliances.

Purchasing Technology by Acquiring a Firm Microsoft and Cisco Systems are examples of companies on the cutting edge of technology that often speed development by acquiring entrepreneurial firms that have already developed the technology that fits their mission. The issue then becomes fitting the purchased organization, its

Internal Lengthy High

Shared Rapid and/or Existing

Shared

External development strategies

Product Development Continuum

Internal development strategies Migrations of existing products

Enhancements to existing products New internally developed products

Alliances Joint ventures

Purchase technology or expertise by acquiring the developer

Cost of product development Speed of product development Risk of product development

� FIGURE 5.6 Product Development Continuum

In the shrinking world marketplace, innovations that appeal to customers in one region rapidly become global trends. The process shakes up the structure of one industry after another, from computers to automobiles to consumer electronics.

Nowhere has this impact been greater in recent years than in the cell phone industry. The industry sells about 1.3 billion phones each year, but product life cycle is short. Competition is intense. Higher margins go to the innovator— and manufacturers that jump on an emerging trend early can reap substantial rewards. The swiftest Chinese manufacturers, such as Ningbo Bird and TCL, now replace some phone models after just 6 months. In the past, Motorola, Nokia, and other industry veterans enjoyed what are now considered long life cycles—2 years. New styles and technological advances in cell phones constantly appear somewhere in the world. Wired, well-traveled consumers seek the latest innovation; local retailers rush to offer it; and telecommunication providers order it.

Contemporary cell phones may be a curvy, boxy, or a clamshell fashion item; have a tiny keyboard for quick and

easy typing or a more limited number pad for a phone; have a built-in radio or a digital music player; have a camera, Internet access, or TV clips; function on cellular or wireless (Wi-Fi) networks; or have games or personal organizers. Mattel and Nokia even have Barbie phones for preteen girls, complete with prepaid minutes, customized ringtones, and faceplates. The rapid changes in features and demand are forcing manufacturers into a frenzied race to keep up or simply to pull out.

“We got out of the handset business because we couldn’t keep up with the cycle times,” says Jeffrey Belk, Marketing V.P. for Qualcomm Inc., the San Diego company that now focuses on making handset chips.

Developing new products is always a challenge, but in the dynamic global market place of cell phones, product development takes on new technology and new markets at breakneck speed.

Sources: Supply Chain Management Review (October, 2007): 28; The Wall Street Journal (October 30, 2003): A1 and (Sept. 8, 2004): D5; and International Business Times (March 3,2009).

OM in Action � Chasing Fads in the Cell Phone Industry

AUTHOR COMMENT Managers seek a variety of approaches to obtain speed to market. The president of

one U.S. firm says: “If I miss one product cycle, I’m dead.”

142 PART 2 Designing Operations

technology, its product lines, and its culture into the buying firm, rather than a product develop- ment issue.

Joint Ventures Joint ventures are combined ownership, usually between just two firms, to form a new entity. Ownership can be 50–50, or one owner can assume a larger portion to ensure tighter control. Joint ventures are often appropriate for exploiting specific product opportunities that may not be central to the firm’s mission. Such ventures are more likely to work when the risks are known and can be equitably shared. For instance, GM and Toyota formed a joint venture to pro- duce the GM Prism and the Toyota Corolla. Both companies saw a learning opportunity as well as a product they both needed in the North American market. Toyota wanted to learn about building and managing a plant in North America, and GM wanted to learn about manufacturing a small car with Toyota’s manufacturing techniques. The risks were well understood, as were the respective commitments. Similarly, Fuji-Xerox, a manufacturer and marketer of photo- copiers, is a joint venture of Xerox, the U.S. maker of photocopiers, and Fuji, Japan’s largest manufacturer of film.

Alliances Alliances are cooperative agreements that allow firms to remain independent but use comple- menting strengths to pursue strategies consistent with their individual missions. When new prod- ucts are central to the mission, but substantial resources are required and sizable risk is present, then alliances may be a good strategy for product development. Alliances are particularly benefi- cial when the products to be developed also have technologies that are in ferment. For example, Microsoft is pursuing a number of alliances with a variety of companies to deal with the conver- gence of computing, the Internet, and television broadcasting. Alliances in this case are appropri- ate because the technological unknowns, capital demands, and risks are significant. Similarly, three firms, Mercedes Benz, Ford Motor, and Ballard Power Systems, have formed an alliance to develop “green” cars powered by fuel cells. However, alliances are much more difficult to achieve and maintain than joint ventures because of the ambiguities associated with them. It may be help- ful to think of an alliance as an incomplete contract between the firms. The firms remain separate.

Enhancements, migration, acquisitions, joint ventures, and alliances are all strategies for speeding product development. Moreover, they typically reduce the risk associated with product development while enhancing the human and capital resources available.

DEFINING A PRODUCT Once new goods or services are selected for introduction, they must be defined. First, a good or service is defined in terms of its functions—that is, what it is to do. The product is then designed, and the firm determines how the functions are to be achieved. Management typically has a vari- ety of options as to how a product should achieve its functional purpose. For instance, when an alarm clock is produced, aspects of design such as the color, size, or location of buttons may make substantial differences in ease of manufacture, quality, and market acceptance.

Rigorous specifications of a product are necessary to assure efficient production. Equipment, layout, and human resources cannot be determined until the product is defined, designed, and documented. Therefore, every organization needs documents to define its products. This is true of everything from meat patties, to cheese, to computers, to a medical procedure. In the case of cheese, a written specification is typical. Indeed, written specifications or standard grades exist and provide the definition for many products. For instance, Monterey Jack cheese has a written description that specifies the characteristics necessary for each Department of Agriculture grade. A portion of the Department of Agriculture grade for Monterey Jack Grade AA is shown in Figure 5.7. Similarly, McDonald’s Corp. has 60 specifications for potatoes that are to be made into french fries.

Most manufactured items as well as their components are defined by a drawing, usually referred to as an engineering drawing. An engineering drawing shows the dimensions, toler- ances, materials, and finishes of a component. The engineering drawing will be an item on a bill of material. An engineering drawing is shown in Figure 5.8. The bill of material (BOM) lists the components, their description, and the quantity of each required to make one unit of a product.

Joint ventures Firms establishing joint ownership to pursue new products or markets.

Alliances Cooperative agreements that allow firms to remain independent, but pursue strategies consistent with their individual missions.

LO5: Describe how products and services are defined by OM

AUTHOR COMMENT Before anything can be produced, a product’s

functions and attributes must be defined.

Engineering drawing A drawing that shows the dimensions, tolerances, materials, and finishes of a component.

Bill of material (BOM) A list of the components, their description, and the quantity of each required to make one unit of a product.

Chapter 5 Design of Goods and Services 143

A bill of material for a manufactured item is shown in Figure 5.9(a). Note that subassemblies and components (lower-level items) are indented at each level to indicate their subordinate position. An engineering drawing shows how to make one item on the bill of material.

In the food-service industry, bills of material manifest themselves in portion-control standards. The portion-control standard for Hard Rock Cafe’s hickory BBQ bacon cheeseburger is shown in Figure 5.9(b). In a more complex product, a bill of material is referenced on other bills of mate- rial of which they are a part. In this manner, subunits (subassemblies) are part of the next higher unit (their parent bill of material) that ultimately makes a final product. In addition to being defined by written specifications, portion-control documents, or bills of material, products can be defined in other ways. For example, products such as chemicals, paints, and petroleums may be defined by formulas or proportions that describe how they are to be made. Movies are defined by scripts, and insurance coverage by legal documents known as policies.

Make-or-Buy Decisions For many components of products, firms have the option of producing the components them- selves or purchasing them from outside sources. Choosing between these options is known as the make-or-buy decision. The make-or-buy decision distinguishes between what the firm wants to produce and what it wants to purchase. Because of variations in quality, cost, and delivery sched- ules, the make-or-buy decision is critical to product definition. Many items can be purchased as a “standard item” produced by someone else. Examples are the standard bolts listed on the bill of material shown in Figure 5.9(a), for which there will be SAE (Society of Automotive Engineers) specifications. Therefore, there typically is no need for the firm to duplicate this specification in another document. We discuss the make-or-buy decision in more detail in Chapter 11.

§ 58.2469 Specifications for U.S. grades of Monterey (Monterey Jack) cheese

(2) Body and texture. A plug drawn from the cheese shall be reasonably firm. It shall have numerous small mechanical openings evenly distributed throughout the plug. It shall not possess sweet holes, yeast holes, or other gas holes.

(4) Finish and appearance —bandaged and paraffin-dipped. The rind shall be

sound, firm, and smooth, providing a good protection to the cheese.

(a) U.S. grade AA. Monterey Cheese shall conform to the following requirements:

(1) Flavor. Is fine and highly pleasing, free from undesirable flavors and odors. May possess a very slight acid or feed flavor.

(3) Color. Shall have a natural, uniform, bright, attractive appearance.

Code of Federal Regulation, Parts 53 to 109, General Service Administration.

� FIGURE 5.7 Monterey Jack A portion of the general requirements for the U.S. grades of Monterey cheese is shown here.

.250

.251 DIA. THRU

FINE KNURL

.250

.093

5-40 TAP THRU

1/64 R X .010 DP. AFTER KNURL

.050

.055. 3 7 5

.6 2 4

.6 2 5

AUX. VIEW

MARK PART NO.

REVISIONS

Tolerance Unless Specified:

DRIVE ROLLER FULL

D. PHILLIPS

Material Heat Treat Finish

Scale: Checked: Drawn: Date:

A-

Bryce D. Jewett Machine Mfg. Co., Inc.

A 2 58-60 RC

Fractional:

Decimal:

1— 64

+– +– .005

No. By Date � FIGURE 5.8 Engineering Drawings Such as This One Show Dimensions, Tolerances, Materials, and Finishes

Make-or-buy decision The choice between producing a component or a service and purchasing it from an outside source.

144 PART 2 Designing Operations

Group Technology Engineering drawings may also include codes to facilitate group technology. Group technology requires that components be identified by a coding scheme that specifies the type of processing (such as drilling) and the parameters of the processing (such as size). This facilitates standardiza- tion of materials, components, and processes as well as the identification of families of parts. As families of parts are identified, activities and machines can be grouped to minimize setups, rout- ings, and material handling. An example of how families of parts may be grouped is shown in Figure 5.10. Group technology provides a systematic way to review a family of components to see if an existing component might suffice on a new project. Using existing or standard compo- nents eliminates all the costs connected with the design and development of the new part, which is a major cost reduction. For these reasons, successful implementation of group technology leads to the following advantages:

1. Improved design (because more design time can be devoted to fewer components). 2. Reduced raw material and purchases. 3. Simplified production planning and control. 4. Improved layout, routing, and machine loading. 5. Reduced tooling setup time, and work-in-process and production time.

The application of group technology helps the entire organization, as many costs are reduced.

DOCUMENTS FOR PRODUCTION Once a product is selected, designed, and ready for production, production is assisted by a vari- ety of documents. We will briefly review some of these.

An assembly drawing simply shows an exploded view of the product. An assembly drawing is usually a three-dimensional drawing, known as an isometric drawing; the relative locations of com- ponents are drawn in relation to each other to show how to assemble the unit (see Figure 5.11[a]).

The assembly chart shows in schematic form how a product is assembled. Manufactured com- ponents, purchased components, or a combination of both may be shown on an assembly chart. The assembly chart identifies the point of production at which components flow into subassemblies and ultimately into a final product. An example of an assembly chart is shown in Figure 5.11(b).

The route sheet lists the operations necessary to produce the component with the material specified in the bill of material. The route sheet for an item will have one entry for each operation to be performed on the item. When route sheets include specific methods of operation and labor standards, they are often known as process sheets.

The work order is an instruction to make a given quantity of a particular item, usually to a given schedule. The ticket that a waiter writes in your favorite restaurant is a work order. In a hospital or factory, the work order is a more formal document that provides authorization to draw

Bill of Material for a Panel Weldment

A 60-7 R 60-17 R 60-428 P 60-2

A 60-72 R 60-57-1 A 60-4 02-50-1150

A 60-73 A 60-74 R 60-99 02-50-1150

LOWER ROLLER ASSM. ROLLER PIN LOCKNUT

GUIDE ASSM. REAR SUPPORT ANGLE ROLLER ASSEM. BOLT

GUIDE ASSM. FRONT SUPPORT WELDM’T WEAR PLATE BOLT

1 1 1 1

1 1 1 1

1 1 1 1

(a) Hard Rock Cafe’s Hickory BBQ Bacon Cheeseburger

Bun Hamburger patty Cheddar cheese Bacon BBQ onions Hickory BBQ sauce Burger set Lettuce Tomato Red onion Pickle French fries Seasoned salt 11- inch plate HRC flag

1 8 oz. 2 slices 2 strips 1/2 cup 1 oz.

1 leaf 1 slice 4 rings 1 slice 5 oz. 1 tsp. 1 1

(b)

PANEL WELDM’T 1A 60-71

NUMBER DESCRIPTION QTY DESCRIPTION QTY

� FIGURE 5.9 Bills of Material Take Different Forms in a (a) Manufacturing Plant and a (b) Restaurant, but in Both Cases, the Product Must Be Defined

Group technology A product and component coding system that specifies the type of processing and the parameters of the processing; it allows similar products to be grouped.

AUTHOR COMMENT Production personnel

need clear, specific documents to help them

make the product.

Assembly drawing An exploded view of the product.

Assembly chart A graphic means of identifying how components flow into subassemblies and final products.

Route sheet A listing of the operations necessary to produce a component with the material specified in the bill of material.

Work order An instruction to make a given quantity of a particular item.

AUTHOR COMMENT Hard Rock’s recipe here

serves the same purpose as a bill of material in a factory:

It defines the product for production.

Chapter 5 Design of Goods and Services 145

various pharmaceuticals or items from inventory, to perform various functions, and to assign per- sonnel to perform those functions.

Engineering change notices (ECNs) change some aspect of the product’s definition or doc- umentation, such as an engineering drawing or a bill of material. For a complex product that has a long manufacturing cycle, such as a Boeing 777, the changes may be so numerous that no two 777s are built exactly alike—which is indeed the case. Such dynamic design change has fostered the development of a discipline known as configuration management, which is concerned with product identification, control, and documentation. Configuration management is the system by which a product’s planned and changing configurations are accurately identified and for which control and accountability of change are maintained.

Product Life-Cycle Management (PLM) Product life-cycle management (PLM) is an umbrella of software programs that attempts to bring together phases of product design and manufacture—including tying together many of the tech- niques discussed in the prior two sections, Defining a Product and Documents for Production. The idea behind PLM software is that product design and manufacture decisions can be performed more creatively, faster, and more economically when the data are integrated and consistent.

Although there is not one standard, PLM products often start with product design (CAD/CAM); move on to design for manufacture and assembly (DFMA); and then into product

LO6: Describe the documents needed for production

(a) Ungrouped Parts (b) Grouped Cylindrical Parts (families of parts)

Grooved Slotted Threaded Drilled Machined

� FIGURE 5.10 A Variety of Group Technology Coding Schemes Move Manufactured Components from (a) Ungrouped to (b) Grouped (families of parts)

R 209 Angle

R 207 Angle

Bolts w/nuts (2)

Left bracket

assembly

R 209 Angle

R 207 Angle

Bolts w/nuts (2)

Right bracket

assembly

Bolt w/nut

Part number tag

R 404 Roller

Lock washer

Box w/packing material

Poka-yoke inspection

A1

A2

A3

A5

A4

(b) Assembly Chart

R 207

31/2"� 3/8" Hex head bolt

3/8" Hex nut

R 404

R 209

11/2" � 3/8" Hex head bolt

R 207

3/8" Lock washer

3/8" Hex nut

(a) Assembly Drawing

1

2

3

4

5

6

7

8

9

10

11

SA 2

SA 1

� FIGURE 5.11 Assembly Drawing and Assembly Chart

Engineering change notice (ECN) A correction or modification of an engineering drawing or bill of material.

Configuration management A system by which a product’s planned and changing components are accurately identified.

Product life-cycle management (PLM) Software programs that tie together many phases of product design and manufacture.

146 PART 2 Designing Operations

routing, materials, layout, assembly, maintenance and even environmental issues.6 Integration of these tasks makes sense because many of these decisions areas require overlapping pieces of data. PLM software is now a tool of many large organizations, including Lockheed Martin, GE, Procter & Gamble, Toyota, and Boeing. Boeing estimates that PLM will cut final assembly of its 787 jet from 2 weeks to 3 days. PLM is now finding its way into medium and small manufacture as well.

Shorter life cycles, more technologically challenging products, more regulations about mate- rials and manufacturing processes, and more environmental issues all make PLM an appealing tool for operations managers.

SERVICE DESIGN Much of our discussion so far has focused on what we can call tangible products, that is, goods. On the other side of the product coin are, of course, services. Service industries include banking, finance, insurance, transportation, and communications. The products offered by service firms range from a medical procedure that leaves only the tiniest scar after an appendectomy, to a shampoo and cut at a hair salon, to a great movie.

Designing services is challenging because they often have unique characteristics. One reason productivity improvements in services are so low is because both the design and delivery of ser- vice products include customer interaction. When the customer participates in the design process, the service supplier may have a menu of services from which the customer selects options (see Figure 5.12a). At this point, the customer may even participate in the design of the service. Design specifications may take the form of a contract or a narrative description with photos (such as for cosmetic surgery or a hairstyle). Similarly, the customer may be involved in the delivery of a service (see Figure 5.12b) or in both design and delivery, a situation that maxi- mizes the product design challenge (see Figure 5.12c).

However, as with goods, a large part of cost and quality of a service is defined at the design stage. Also as with goods, a number of techniques can both reduce costs and enhance the product. One technique is to design the product so that customization is delayed as late in the process as pos- sible. This is the way a hair salon operates: Although shampoo and rinse are done in a standard way with lower-cost labor, the tint and styling (customizing) are done last. It is also the way most restau- rants operate: How would you like that cooked? Which dressing would you prefer with your salad?

The second approach is to modularize the product so that customization takes the form of changing modules. This strategy allows modules to be designed as “fixed,” standard entities. The modular approach to product design has applications in both manufacturing and service. Just as modular design allows you to buy a Harley-Davidson motorcycle or a high-fidelity sound system

Each year the JR Simplot potato- processing facility in Caldwell, Idaho, produces billions of french fries for McDonald’s (left photo). Sixty specifications (including a special blend of frying oil, a unique steaming process, and exact time and temperature for prefrying and drying) define how these potatoes become french fries. Further, 40% of all french fries must be 2 to 3 inches long, 40% must be over 3 inches long, and a few stubby ones constitute the final 20%. Quality control personnel use a micrometer to measure the fries (right photo).

AUTHOR COMMENT Services also need

to be defined and documented.

LO7: Describe customer participation in the design and production of services

6Some PLM vendors include supply chain elements such as sourcing, material management, and vendor evaluation in their packages, but in most instances, these are considered part of the ERP systems discussed along with MRP in Chapter 14. See, for instance, SAP PLM (www.mySAP.com), Parametric Technology Corp. (www.ptc.com), UGS Corp. (www.ugs.com), and Proplanner (www.proplanner.com).

Chapter 5 Design of Goods and Services 147

with just the features you want, modular flexibility also lets you buy meals, clothes, and insurance on a mix-and-match (modular) basis. Similarly, investment portfolios are put together on a mod- ular basis, as are college curricula. Both are examples of how the modular approach can be used to customize a service.

A third approach to the design of services is to divide the service into small parts and identify those parts that lend themselves to automation or reduced customer interaction. For instance, by isolating check-cashing activity via ATM machines, banks have been very effective at designing a product that both increases customer service and reduces costs. Similarly, airlines are moving to ticketless service. Because airlines spend $15 to $30 to produce a single ticket (including labor, printing, and travel agent’s commission), ticketless systems save the industry a billion dollars a year. Reducing both costs and lines at airports—and thereby increasing customer satisfaction— provides a win–win “product” design.

Because of the high customer interaction in many service industries, a fourth technique is to focus design on the so-called moment of truth. Jan Carlzon, former president of Scandinavian Airways, believes that in the service industry there is a moment of truth when the relationship between the provider and the customer is crucial. At that moment, the customer’s satisfaction with the service is defined. The moment of truth is the moment that exemplifies, enhances, or detracts from the customer’s expectations. That moment may be as simple as a smile or having the checkout clerk focus on you rather than talking over his shoulder to the clerk at the next counter. Moments of truth can occur when you order at McDonald’s, get a haircut, or register for college courses. Figure 5.13 shows a moment-of-truth analysis for a computer company’s cus- tomer service hotline. The operations manager’s task is to identify moments of truth and design operations that meet or exceed the customer’s expectations.

Documents for Services Because of the high customer interaction of most services, the documents for moving the prod- uct to production are different from those used in goods-producing operations. The documenta- tion for a service will often take the form of explicit job instructions that specify what is to happen at the moment of truth. For instance, regardless of how good a bank’s products may be in

State College

Registration

Customer

Delivery

(a) Customer participation in design

(b) Customer participation in delivery

(c) Customer participation in design and delivery

Design

Customer

Delivery

Design

Customer

Delivery

(prearranged funeral services or cosmetic surgery)

(stress test for cardiac exam or delivery of a baby)

(counseling, college education, financial management of personal affairs, or interior decorating)

Design

� FIGURE 5.12 Customer Participation in the Design of Services

148 PART 2 Designing Operations

terms of checking, savings, trusts, loans, mortgages, and so forth, if the moment of truth is not done well, the product may be poorly received. Example 2 shows the kind of documentation a bank may use to move a product (drive-up window banking) to “production.” In a telemarketing service, the product design is communicated to production personnel in the form of telephone script, while a storyboard is used for movie and TV production.

EXAMPLE 2 � Service documentation for production

Experience Enhancers

Standard Expectations

Experience Detractors

Better

Best I had to call more than once to get through.

A recording spoke to me rather than a person.

While on hold, I get silence, and I wonder if I am disconnected.

The technician sounded like he was reading a form of routine questions.

The technician sounded uninterested.

The technician rushed me.

Only one local number needs to be dialed.

I never get a busy signal.

I get a human being to answer my call quickly, and he or she is pleasant and responsive to my problem.

A timely resolution to my problem is offered.

The technician is able to explain to me what I can expect to happen next.

The technician was sin- cerely concerned and apologetic about my problem.

The technician asked intelligent questions that allowed me to feel confident in his abilities.

The technician offered various times to have work done to suit my schedule. Ways to avoid future problems were suggested.

� FIGURE 5.13 Moment of Truth: Customer Contacts at a Computer Company’s Service Hotline Improve As We Move from Left to Right.

First Bank Corp. wants to ensure effective delivery of service to its drive-up customers.

APPROACH � Develop a “production” document for the tellers at the drive-up window that pro- vides the information necessary to do an effective job.

SOLUTION �

Documentation for Tellers at Drive-Up Windows

Customers who use the drive-up teller windows rather than walk-in lobbies require a different customer relations technique. The distance and machinery between the teller and the customer raises communi- cation barriers. Guidelines to ensure good customer relations at the drive-up window are:

• Be especially discreet when talking to the customer through the microphone. • Provide written instructions for customers who must fill out forms you provide. • Mark lines to be completed or attach a note with instructions. • Always say “please” and “thank you” when speaking through the microphone. • Establish eye contact with the customer if the distance allows it. • If a transaction requires that the customer park the car and come into the lobby, apologize for the

inconvenience.

Source: Adapted with permission from Teller Operations (Chicago, IL: The Institute of Financial Education, 1999): 32.

INSIGHT � By providing documentation in the form of a script/guideline for tellers, the likeli- hood of effective communication and a good product/service is improved.

LEARNING EXERCISE � Modify the guidelines above to show how they would be different for a drive-through restaurant. [Answer: Written instructions, marking lines to be completed, or coming into the store are seldom necessary, but techniques for making change, and proper transfer of the order should be included.]

RELATED PROBLEM � 5.7

Chapter 5 Design of Goods and Services 149

APPLICATION OF DECISION TREES TO PRODUCT DESIGN Decision trees can be used for new-product decisions as well as for a wide variety of other man- agement problems. They are particularly helpful when there are a series of decisions and various outcomes that lead to subsequent decisions followed by other outcomes. To form a decision tree, we use the following procedure:

1. Be sure that all possible alternatives and states of nature are included in the tree. This includes an alternative of “doing nothing.”

2. Payoffs are entered at the end of the appropriate branch. This is the place to develop the pay- off of achieving this branch.

3. The objective is to determine the expected value of each course of action. We accomplish this by starting at the end of the tree (the right-hand side) and working toward the beginning of the tree (the left), calculating values at each step and “pruning” alternatives that are not as good as others from the same node.

Example 3 shows the use of a decision tree applied to product design.

� EXAMPLE 3 Decision tree applied to product design

Silicon, Inc., a semiconductor manufacturer, is investigating the possibility of producing and marketing a microprocessor. Undertaking this project will require either purchasing a sophisticated CAD system or hiring and training several additional engineers. The market for the product could be either favorable or unfavorable. Silicon, Inc., of course, has the option of not developing the new product at all.

With favorable acceptance by the market, sales would be 25,000 processors selling for $100 each. With unfavorable acceptance, sales would be only 8,000 processors selling for $100 each. The cost of CAD equipment is $500,000, but that of hiring and training three new engineers is only $375,000. However, manufacturing costs should drop from $50 each when manufacturing without CAD, to $40 each when manufacturing with CAD.

The probability of favorable acceptance of the new microprocessor is .40; the probability of unfa- vorable acceptance is .60.

⎧ ⎪ ⎨ ⎪ ⎩

$2,500,000 –1,000,000 – 500,000 ––––––––– $1,000,000

Revenue Mfg. cost ($40 � 25,000) CAD cost Net

(.4)

High sales

⎧ ⎪ ⎨ ⎪ ⎩

$800,000 –320,000 –500,000 ––––––– –$20,000

Revenue Mfg. cost ($40 � 8,000) CAD cost Net loss

(.6)

Low sales

⎧ ⎪ ⎨ ⎪ ⎩

$2,500,000 –1,250,000 – 375,000 –––––––––

$875,000

Revenue Mfg. cost ($50 � 25,000) Hire and train cost Net

(.4)

High sales

⎧ ⎪ ⎨ ⎪ ⎩

$800,000 –400,000 –375,000 ––––––– $25,000

Revenue Mfg. cost ($50 � 8,000) Hire and train cost Net

(.6)

Low sales

$0 Net⎧⎨ ⎩

Do nothing $0

Hire and train engineers $365,000

Purchase CAD $388,000

� FIGURE 5.14 Decision Tree for Development of a New Product

LO8: Apply decision trees to product issues

AUTHOR COMMENT The manager’s options are to

purchase CAD, hire/train engineers, or do nothing. Purchasing CAD has the

highest EMV.

AUTHOR COMMENT A decision tree is a great tool for thinking through

a problem.

150 PART 2 Designing Operations

APPROACH � Use of a decision tree seems appropriate as Silicon, Inc., has the basic ingredients: a choice of decisions, probabilities, and payoffs.

SOLUTION � In Figure 5.14 we draw a decision tree with a branch for each of the three deci- sions, assign the respective probabilities payoff for each branch, and then compute the respective EMVs. The expected monetary values (EMVs) have been circled at each step of the decision tree. For the top branch:

This figure represents the results that will occur if Silicon, Inc., purchases CAD. The expected value of hiring and training engineers is the second series of branches:

The EMV of doing nothing is $0. Because the top branch has the highest expected monetary value (an EMV of $388,000 vs.

$365,000 vs. $0), it represents the best decision. Management should purchase the CAD system.

INSIGHT � Use of the decision tree provides both objectivity and structure to our analysis of the Silicon, Inc., decision.

LEARNING EXERCISE � If Silicon, Inc., thinks the probabilities of high sales and low sales may be equal, at .5 each, what is the best decision? [Answer: Purchase CAD remains the best decision, but with an EMV of $490,000.]

RELATED PROBLEMS � 5.10, 5.11, 5.12, 5.13, 5.14, 5.15, 5.16, 5.18

ACTIVE MODEL 5.1 This example is further illustrated in Active Model 5.1 at www.pearsonhighered.com/heizer.

= $365,000

EMV 1Hire>train engineers2 = 1.421$875,0002 + 1.621$25,0002

= $388,000

EMV 1purchase CAD syatem2 = 1.421$1,000,0002 + 1.621- $20,0002

TRANSITION TO PRODUCTION Eventually, a product, whether a good or service, has been selected, designed, and defined. It has progressed from an idea to a functional definition, and then perhaps to a design. Now, management must make a decision as to further development and production or termination of the product idea. One of the arts of modern management is knowing when to move a prod- uct from development to production; this move is known as transition to production. The product development staff is always interested in making improvements in a product. Because this staff tends to see product development as evolutionary, they may never have a completed product, but as we noted earlier, the cost of late product introduction is high. Although these conflicting pressures exist, management must make a decision—more devel- opment or production.

Once this decision is made, there is usually a period of trial production to ensure that the design is indeed producible. This is the manufacturability test. This trial also gives the operations staff the opportunity to develop proper tooling, quality control procedures, and training of personnel to ensure that production can be initiated successfully. Finally, when the product is deemed both marketable and producible, line management will assume responsibility.

Some companies appoint a project manager; others use product development teams to ensure that the transition from development to production is successful. Both approaches allow a wide range of resources and talents to be brought to bear to ensure satisfactory production of a prod- uct that is still in flux. A third approach is integration of the product development and manufac- turing organizations. This approach allows for easy shifting of resources between the two organizations as needs change. The operations manager’s job is to make the transition from R&D to production seamless.

AUTHOR COMMENT One of the arts of

management is knowing when a product should

move from development to production.

Chapter 5 Design of Goods and Services 151

Effective product strategy requires selecting, designing, and defining a product and then transitioning that product to pro- duction. Only when this strategy is carried out effectively can the production function contribute its maximum to the organization. The operations manager must build a product development system that has the ability to conceive, design, and produce products that will yield a competitive advan- tage for the firm. As products move through their life cycle (introduction, growth, maturity, and decline), the options that the operations manager should pursue change. Both man- ufactured and service products have a variety of techniques

available to aid in performing this activity efficiently.

Written specifications, bills of mate- rial, and engineering drawings aid in defining products. Similarly, assembly drawings, assembly charts, route sheets, and work orders are often used to assist in the actual production of the product. Once a product is in production, value analysis is appropriate to ensure maximum product value. Engineering change notices and configuration management provide prod- uct documentation.

CHAPTER SUMMARY

Key Terms

Product decision (p. 126) Product-by-value analysis (p. 128) Quality function deployment (QFD) (p. 131) House of quality (p. 131) Product development teams (p. 134) Concurrent engineering (p. 134) Manufacturability and value engineering

(p. 134) Robust design (p. 135) Modular design (p. 135) Computer-aided design (CAD) (p. 136) Design for manufacture and assembly

(DFMA) (p. 136)

3-D object modeling (p. 136) Standard for the Exchange of Product

Data (STEP) (p. 136) Computer-aided manufacturing

(CAM) (p. 137) Virtual reality (p. 137) Value analysis (p. 137) Sustainability (p. 138) Life cycle assessment (LCA) (p. 139) Time-based competition (p. 140) Joint ventures (p. 142) Alliances (p. 142) Engineering drawing (p. 142)

Bill of material (BOM) (p. 142) Make-or-buy decision (p. 143) Group technology (p. 144) Assembly drawing (p. 144) Assembly chart (p. 144) Route sheet (p. 144) Work order (p. 144) Engineering change notice (ECN)

(p. 145) Configuration management (p. 145) Product life-cycle management (PLM)

(p. 145)

Solved Problem Virtual Office Hours help is available at www.myomlab.com

� SOLUTION We draw the decision tree to reflect the two decisions and the probabilities associated with each decision. We then determine the payoff associated with each branch. The resulting tree is shown in Figure 5.15.

For design A:

For design B:

The highest payoff is design option B, at $600,000.

= $600,000 EMV1design B2 = 1.821$750,0002 + 1.221$02

= $425,000 EMV1design A2 = 1.921$350,0002 + 1.121$1,100,0002

� SOLVED PROBLEM 5.1 Sarah King, president of King Electronics, Inc., has two design options for her new line of high-resolution cathode-ray tubes (CRTs) for CAD workstations. The life cycle sales forecast for the CRT is 100,000 units.

Design option A has a .90 probability of yielding 59 good CRTs per 100 and a .10 probability of yielding 64 good CRTs per 100. This design will cost $1,000,000.

Design option B has a .80 probability of yielding 64 good units per 100 and a .20 probability of yielding 59 good units per 100. This design will cost $1,350,000.

Good or bad, each CRT will cost $75. Each good CRT will sell for $150. Bad CRTs are destroyed and have no salvage value. We ignore any disposal costs in this problem.

152 PART 2 Designing Operations

EMV = $425,000 (.9)

(.1)

$8,850,000 –7,500,000 –1,000,000 –––––––––

Sales 59,000 at $150 Mfg. cost 100,000 at $75 Design cost

$350,000

⎧ ⎪ ⎨ ⎪ ⎩

Yield 59

Yield 64

EMV = $600,000

(.8)

(.2)

Yield 64

Yield 59

$9,600,000 –7,500,000 –1,000,000 –––––––––

Sales 64,000 at $150 Mfg. cost 100,000 at $75 Design cost

$1,100,000

⎧ ⎪ ⎨ ⎪ ⎩

$9,600,000 –7,500,000 –1,350,000 –––––––––

Sales 64,000 at $150 Mfg. cost 100,000 at $75 Design cost

$750,000

⎧ ⎪ ⎨ ⎪ ⎩

$8,850,000 –7,500,000 –1,350,000 –––––––––

Sales 59,000 at $150 Mfg. cost 100,000 at $75 Design cost

0

⎧ ⎪ ⎨ ⎪ ⎩

Design A

Design B

FIGURE 5.15 � Decision Tree for

Solved Problem 5.1

Bibliography

Ambec, Stefan, and Paul Lanoie. “Does It Pay to Be Green? A Systematic Overview.” Academy of Management Perspectives 22, no. 4 (November 2008): 13–20.

Brockman, Beverly K., and Robert M. Morgan. “The Role of Existing Knowledge in New Product Innovativeness and Performance.” Decision Sciences 34, no. 2 (Spring 2003): 385–419.

Camevalli, J. A., and P. A. C. Miguel. “Review, Analysis, and Classification of the Literature on QFD.” International Journal of Production Economics 114, no. 2 (August 2008): 737.

Ernst, David, and James Bamford. “Your Alliances Are Too Stable.” Harvard Business Review 83, no. 5 (June 2005): 133–141.

Gerwin, Donald. “Coordinating New Product Development in Strategic Alliances.” The Academy of Management Review 29, no. 2 (April 2004): 241–257.

Krishnan, V., and Karl T. Ulrich. “Product Development Decisions: A Review of the Literature.” Management Science 47, no. 1 (January 2001): 1–21.

Loch, C. H., and C. Terwiesch. “Rush and Be Wrong or Wait and Be Late?” Production and Operations Management 14, no. 3 (Fall 2005): 331–343.

Miguel, P. A. C., and J. A. Camevalli. “Benchmarking Practices of Quality Function Deployment.” Benchmarking 15, no. 6 (2008): 657.

Phyper, J. D., and D. MacLean. Good to Green: Managers Business Risks and Opportunities in an Age of Environmental Awareness. New York: Wiley, 2009.

Pisano, Gary P., and Roberto Verganti. “Which Kind of Collaboration Is Right for You?” Harvard Business Review 86, no. 12 (December 2008):78–86.

Saaksvuori, A., and A. Immonen. Product Lifecycle Management. Berlin: Springer-Verlag, 2004.

Seider, Warren D., et al. Product and Process Design Principles. 3rd. ed. New York: Wiley, 2008.

Ulrich, K., and S. Eppinger. Product Design and Development, 4th ed. New York: McGraw-Hill, 2008.

Managing Quality

Chapter Outline

GLOBAL COMPANY PROFILE: ARNOLD PALMER HOSPITAL

Quality and Strategy 156

Defining Quality 156

International Quality Standards 159

Total Quality Management 160

Tools of TQM 166

The Role of Inspection 170

TQM in Services 172

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

153

GLOBAL COMPANY PROFILE: ARNOLD PALMER HOSPITAL

MANAGING QUALITY PROVIDES A COMPETITIVE ADVANTAGE AT ARNOLD PALMER HOSPITAL

S ince 1989, the Arnold Palmer Hospital, named

after its famous golfing benefactor, has

touched the lives of over 7 million children

and women and their families. Its patients

come not only from its Orlando location but from all

50 states and around the world. More than 16,000

babies are delivered every year at Arnold Palmer, and

its huge neonatal intensive care unit boasts one of

the highest survival rates in the U.S.

Every hospital professes quality health care, but at

Arnold Palmer quality is the mantra—practiced in a

fashion like the Ritz-Carlton practices it in the hotel

industry. The hospital typically scores in the top 10%

of national benchmark studies in terms of patient

satisfaction. And its managers follow patient

questionnaire results daily. If anything is amiss,

corrective action takes place immediately.

Virtually every quality management technique we

present in this chapter is employed at Arnold Palmer

Hospital:

• Continuous improvement: The hospital constantly seeks new ways to lower infection rates, readmission rates, deaths, costs, and hospital stay times.

• Employee empowerment: When employees see a problem, they are trained to take care of it; staff are

empowered to give gifts to patients displeased with some aspect of service.

• Benchmarking: The hospital belongs to a 2,000- member organization that monitors standards in many areas and provides monthly feedback to the hospital.

• Just-in-time: Supplies are delivered to Arnold Palmer on a JIT basis. This keeps inventory costs low and keeps quality problems from hiding.

The Storkboard is a visible chart of the status of each baby about to be delivered, so all nurses and doctors are kept up- to-date at a glance.

The lobby of Arnold Palmer Hospital, with its 20-foot-high Genie, is clearly intended as a warm and friendly place for children.

154

The Mark Twain quote on the board reads “Always Do Right. This will gratify some people and astonish most.” The hospital has redesigned its neonatal rooms. In the old system, there were 16 neonatal beds in an often noisy and large room. The new rooms are semiprivate, with a quiet simulated-night atmosphere. These rooms have proven to help babies develop and improve more quickly.

This PYXIS inventory station gives nurses quick access to medicines and supplies needed in their departments. When the nurse removes an item for patient use, the item is automatically billed to that account, and usage is noted at the main supply area.

When Arnold Palmer Hospital began planning for a new 11-story hospital across the street from its existing building, it decided on a circular pod design, creating a patient-centered environment. Rooms use warm colors, have pull-down Murphy beds for family members, 14-foot ceilings, and natural lighting with oversized windows. The pod concept also means there is a nursing station within a few feet of each 10-bed pod, saving much wasted walking time by nurses to reach the patient. The Video Case Study in Chapter 9 of the Lecture Guide & Activities Manual examines this layout in detail.

• Tools such as Pareto charts and flowcharts: These tools monitor processes and help the staff graphically spot problem areas and suggest ways they can be improved.

From their first day of orientation, employees from

janitors to nurses learn that the patient comes first.

Staff standing in hallways will never be heard

discussing their personal lives or commenting on

confidential issues of health care. This culture of

quality at Arnold Palmer Hospital makes a hospital

visit, often traumatic to children and their parents, a

warmer and more comforting experience.

ARNOLD PALMER HOSPITAL �

155

156 PART 2 Designing Operations

QUALITY AND STRATEGY As Arnold Palmer Hospital and many other organizations have found, quality is a wonderful tonic for improving operations. Managing quality helps build successful strategies of differentiation, low cost, and response. For instance, defining customer quality expectations has helped Bose Corp. successfully differentiate its stereo speakers as among the best in the world. Nucor has learned to produce quality steel at low cost by developing efficient processes that produce consis- tent quality. And Dell Computers rapidly responds to customer orders because quality systems, with little rework, have allowed it to achieve rapid throughput in its plants. Indeed, quality may be the critical success factor for these firms just as it is at Arnold Palmer Hospital.

As Figure 6.1 suggests, improvements in quality help firms increase sales and reduce costs, both of which can increase profitability. Increases in sales often occur as firms speed response, increase or lower selling prices, and improve their reputation for quality products. Similarly, improved quality allows costs to drop as firms increase productivity and lower rework, scrap, and warranty costs. One study found that companies with the highest quality were five times as productive (as measured by units produced per labor-hour) as companies with the poorest qual- ity. Indeed, when the implications of an organization’s long-term costs and the potential for increased sales are considered, total costs may well be at a minimum when 100% of the goods or services are perfect and defect free.

Quality, or the lack of quality, affects the entire organization from supplier to customer and from product design to maintenance. Perhaps more importantly, building an organization that can achieve quality is a demanding task. Figure 6.2 lays out the flow of activities for an organization to use to achieve total quality management (TQM). A successful quality strategy begins with an organizational culture that fosters quality, followed by an understanding of the principles of qual- ity, and then engaging employees in the necessary activities to implement quality. When these things are done well, the organization typically satisfies its customers and obtains a competitive advantage. The ultimate goal is to win customers. Because quality causes so many other good things to happen, it is a great place to start.

DEFINING QUALITY An operations manager’s objective is to build a total quality management system that identifies and satisfies customer needs. Total quality management takes care of the customer. Consequently, we accept the definition of quality as adopted by the American Society for Quality (ASQ, at www.asq.org): “The totality of features and characteristics of a product or ser- vice that bears on its ability to satisfy stated or implied needs.”

Quality The ability of a product or service to meet customer needs.

LO1: Define quality and TQM 157

LO2: Describe the ISO international quality standards 159

LO3: Explain what Six Sigma is 161

LO4: Explain how benchmarking is used in TQM 163

Chapter 6 Learning Objectives LO5: Explain quality robust products and

Taguchi concepts 165

LO6: Use the seven tools of TQM 167

AUTHOR COMMENT Quality is an issue that affects

an entire organization.

AUTHOR COMMENT To create a quality good or

service, operations managers need to know what the

customer expects.

AUTHOR COMMENT High-quality products and

services are the most profitable.

VIDEO 6.1 The Culture of Quality at Arnold Palmer Hospital

Improved Quality Increased Profits Reduced Costs via

Increased productivity Lower rework and scrap costs Lower warranty costs

Sales Gains via

Two Ways Quality Improves Profitability

Improved response Flexible pricing Improved reputation

� FIGURE 6.1 Ways Quality Improves Profitability

Chapter 6 Managing Quality 157

LO1: Define quality and TQM

Others, however, believe that definitions of quality fall into several categories. Some defini- tions are user based. They propose that quality “lies in the eyes of the beholder.” Marketing peo- ple like this approach and so do customers. To them, higher quality means better performance, nicer features, and other (sometimes costly) improvements. To production managers, quality is manufacturing based. They believe that quality means conforming to standards and “making it right the first time.” Yet a third approach is product based, which views quality as a precise and measurable variable. In this view, for example, really good ice cream has high butterfat levels.

This text develops approaches and techniques to address all three categories of quality. The characteristics that connote quality must first be identified through research (a user-based approach to quality). These characteristics are then translated into specific product attributes (a product-based approach to quality). Then, the manufacturing process is organized to ensure that products are made precisely to specifications (a manufacturing-based approach to quality). A process that ignores any one of these steps will not result in a quality product.

Implications of Quality In addition to being a critical element in operations, quality has other implications. Here are three other reasons why quality is important:

1. Company reputation: An organization can expect its reputation for quality—be it good or bad—to follow it. Quality will show up in perceptions about the firm’s new products, employment practices, and supplier relations. Self-promotion is not a substitute for quality products.

2. Product liability: The courts increasingly hold organizations that design, produce, or dis- tribute faulty products or services liable for damages or injuries resulting from their use. Legislation such as the Consumer Product Safety Act sets and enforces product standards by banning products that do not reach those standards. Impure foods that cause illness, night- gowns that burn, tires that fall apart, or auto fuel tanks that explode on impact can all lead to huge legal expenses, large settlements or losses, and terrible publicity.

3. Global implications: In this technological age, quality is an international, as well as OM, concern. For both a company and a country to compete effectively in the global economy, products must meet global quality, design, and price expectations. Inferior products harm a firm’s profitability and a nation’s balance of payments.

Organizational practices Leadership, Mission statement, Effective operating procedures,

Staff support, Training

Yields: What is important and what is to be accomplished.

Quality principles Customer focus, Continuous improvement, Benchmarking, Just-in-time, Tools of TQM

Yields: How to do what is important and to be accomplished.

Employee fulfillment

Empowerment, Organizational commitment Yields: Employee attitudes that can accomplish what is important.

Customer satisfaction Winning orders, Repeat customers Yields: An effective organization with a competitive advantage.

� FIGURE 6.2 The Flow of Activities that Are Necessary to Achieve Total Quality Management

158 PART 2 Designing Operations

Malcolm Baldrige National Quality Award The global implications of quality are so important that the U.S. has established the Malcolm Baldrige National Quality Award for quality achievement. The award is named for former Secretary of Commerce Malcolm Baldrige. Winners include such firms as Motorola, Milliken, Xerox, FedEx, Ritz-Carlton Hotels, AT&T, Cadillac, and Texas Instruments. (For details about the Baldrige Award and its 1,000-point scoring system, visit www.quality.nist.gov.)

The Japanese have a similar award, the Deming Prize, named after an American, Dr. W. Edwards Deming.

Cost of Quality (COQ) Four major categories of costs are associated with quality. Called the cost of quality (COQ), they are:

• Prevention costs: costs associated with reducing the potential for defective parts or services (e.g., training, quality improvement programs).

• Appraisal costs: costs related to evaluating products, processes, parts, and services (e.g., test- ing, labs, inspectors).

• Internal failure: costs that result from production of defective parts or services before deliv- ery to customers (e.g., rework, scrap, downtime).

• External costs: costs that occur after delivery of defective parts or services (e.g., rework, returned goods, liabilities, lost goodwill, costs to society).

The first three costs can be reasonably estimated, but external costs are very hard to quantify. When GE had to recall 3.1 million dishwashers recently (because of a defective switch alleged to have started seven fires), the cost of repairs exceeded the value of all the machines. This leads to the belief by many experts that the cost of poor quality is consistently underestimated.

Observers of quality management believe that, on balance, the cost of quality products is only a fraction of the benefits. They think the real losers are organizations that fail to work aggres- sively at quality. For instance, Philip Crosby stated that quality is free. “What costs money are the unquality things—all the actions that involve not doing it right the first time.”1

Leaders in Quality Besides Crosby there are several other giants in the field of quality man- agement, including Deming, Feigenbaum, and Juran. Table 6.1 summarizes their philosophies and contributions.

Ethics and Quality Management For operations managers, one of the most important jobs is to deliver healthy, safe, and quality products and services to customers. The development of poor-quality products, because of inade- quate design and production processes, results not only in higher production costs but also leads to injuries, lawsuits, and increased government regulation.

If a firm believes that it has introduced a questionable product, ethical conduct must dictate the responsible action. This may be a worldwide recall, as conducted by both Johnson & Johnson (for Tylenol) and Perrier (for sparkling water), when each of these products was found to be con- taminated. A manufacturer must accept responsibility for any poor-quality product released to the public. In recent years, Ford (the Explorer SUV maker) and Firestone (the radial tire maker) have been accused of failing to issue product recalls, of withholding damaging information, and of handling complaints on an individual basis.2

There are many stakeholders involved in the production and marketing of poor-quality prod- ucts, including stockholders, employees, customers, suppliers, distributors, and creditors. As a matter of ethics, management must ask if any of these stakeholders are being wronged. Every company needs to develop core values that become day-to-day guidelines for everyone from the CEO to production-line employees.

Cost of quality (COQ) The cost of doing things wrong—that is, the price of nonconformance.

Takumi is a Japanese character that symbolizes a

broader dimension than quality, a deeper process than education, and a more perfect

method than persistence.

1Philip B. Crosby, Quality Is Free (New York: McGraw-Hill, 1979). Further, J. M. Juran states, in his book Juran on Quality by Design (The Free Press 1992, p. 119), that costs of poor quality “are huge, but the amounts are not known with precision. In most companies the accounting system provides only a minority of the information needed to quantify this cost of poor quality. It takes a great deal of time and effort to extend the accounting system so as to provide full coverage.” 2For further reading, see O. Fisscher and A. Nijhof, “Implications of Business Ethics for Quality Management,” TQM Magazine 17 (2005): 150–161; and M. R. Nayebpour and D. Koehn, “The Ethics of Quality: Problems and Preconditions,” Journal of Business Ethics 44 (April, 2003): 37–48.

Chapter 6 Managing Quality 159

� TABLE 6.1 Leaders in the Field of Quality Management

Leader Philosophy/Contribution

W. Edwards Deming Deming insisted management accept responsibility for building good systems. The employee cannot produce products that on average exceed the quality of what the process is capable of producing. His 14 points for implementing quality improvement are presented in this chapter.

Joseph M. Juran A pioneer in teaching the Japanese how to improve quality, Juran believed strongly in top-management commitment, support, and involvement in the quality effort. He was also a believer in teams that continually seek to raise quality standards. Juran varies from Deming somewhat in focusing on the customer and defining quality as fitness for use, not necessarily the written specifications.

Armand Feigenbaum His 1961 book, Total Quality Control, laid out 40 steps to quality improvement processes. He viewed quality not as a set of tools but as a total field that integrated the processes of a company. His work in how people learn from each other’s successes led to the field of cross-functional teamwork.

Philip B. Crosby Quality is Free was Crosby’s attention-getting book published in 1979. Crosby believed that in the traditional trade-off between the cost of improving quality and the cost of poor quality, the cost of poor quality is understated. The cost of poor quality should include all of the things that are involved in not doing the job right the first time. Crosby coined the term zero defects and stated, “There is absolutely no reason for having errors or defects in any product or service.”

INTERNATIONAL QUALITY STANDARDS ISO 9000 Quality is so important globally that the world is uniting around a single quality standard, ISO 9000. ISO 9000 is the only quality standard with international recognition. In 1987, 91 member nations (including the U.S.) published a series of quality assurance standards, known collectively as ISO 9000. The U.S., through the American National Standards Institute (ANSI), has adopted the ISO 9000 series as the ANSI/ASQ Q9000 series. The focus of the standards is to establish quality management procedures, through leadership, detailed documentation, work instructions, and recordkeeping. These procedures, we should note, say nothing about the actual quality of the product—they deal entirely with standards to be followed.

To become ISO 9000 certified, organizations go through a 9- to 18-month process that involves documenting quality procedures, an on-site assessment, and an ongoing series of audits of their products or services. To do business globally being listed in the ISO directory is critical. As of 2009, there were over 1 million certifications awarded to firms in 175 countries. About 40,000 U.S. firms are ISO 9000 certified. Over 200,000 Chinese firms have received certificates.

ISO upgraded its standards in 2008 into more of a quality management system, which is detailed in its ISO 9001: 2008 component. Leadership by top management and customer requirements and satisfaction play a much larger role, while documented procedures receive less emphasis under ISO 9001: 2008.

ISO 14000 The continuing internationalization of quality is evident with the development of ISO 14000. ISO 14000 is a series of environmental management standards that contain five core elements: (1) environmental management, (2) auditing, (3) performance evaluation, (4) labeling, and (5) life cycle assessment. The new standard could have several advantages:

• Positive public image and reduced exposure to liability. • Good systematic approach to pollution prevention through the minimization of ecological

impact of products and activities. • Compliance with regulatory requirements and opportunities for competitive advantage. • Reduction in need for multiple audits.

This standard is being accepted worldwide, with ISO 14001, which addresses environmental impacts of activities systematically, receiving great attention. The OM in Action box “Subaru’s Clean, Green Set of Wheels with ISO 14001” illustrates the growing application of the ISO 14000 series.

As a follow-on to ISO 14000, ISO 24700 reflects the business world’s current approach to reusing recovered components from many products. These components must be “qualified as

AUTHOR COMMENT International quality standards grow in

prominence every year. See www.iso.ch and www.asq.org to learn

more about them.

LO2: Describe the ISO international quality standards

ISO 14000 A series of environmental management standards established by the International Organization for Standardization (ISO).

ISO 9000 A set of quality standards developed by the International Organization for Standardization (ISO).

160 PART 2 Designing Operations

good as new” and meet all safety and environmental criteria. Xerox was one of the companies that helped write ISO 24700 and an early applicant for certification.

TOTAL QUALITY MANAGEMENT Total quality management (TQM) refers to a quality emphasis that encompasses the entire organization, from supplier to customer. TQM stresses a commitment by management to have a continuing companywide drive toward excellence in all aspects of products and services that are important to the customer. Each of the 10 decisions made by operations managers deals with some aspect of identifying and meeting customer expectations. Meeting those expecta- tions requires an emphasis on TQM if a firm is to compete as a leader in world markets.

Quality expert W. Edwards Deming used 14 points (see Table 6.2) to indicate how he imple- mented TQM. We develop these into seven concepts for an effective TQM program: (1) continu- ous improvement, (2) Six Sigma, (3) employee empowerment, (4) benchmarking, (5) just-in-time (JIT), (6) Taguchi concepts, and (7) knowledge of TQM tools.

Total quality management (TQM) Management of an entire organization so that it excels in all aspects of products and services that are important to the customer.

AUTHOR COMMENT The 7 concepts that make

up TQM are part of the lexicon of business.

Going green had a humble beginning. First, it was newspapers, soda cans and bottles, and corrugated packaging—the things you typically throw into your own recycling bins. Similarly, at Subaru’s Lafayette, Indiana, plant, the process of becoming the first completely waste-free auto plant in North America began with employees dropping these things in containers throughout the plant. Then came employee empowerment. “We had 268 suggestions for different things to improve our recycling efforts,” said Denise Coogan, plant ISO 14001 environmental compliance leader.

Some ideas were easy to handle. “With plastic shrink wrap, we found some (recyclers) wouldn’t take colored shrink wrap. So we went back to our vendors and asked for only clear shrink wrap,” Coogan said. Some suggestions were a lot more dirty. “We went dumpster diving to see what we were throwing away and see what we could do with it.”

The last load of waste generated by Subaru made its way to a landfill four years ago. Since then, everything that enters the plant eventually exits as a usable product. Coogan adds, “We didn’t redefine ‘zero.’ Zero means zero. Nothing from our manufacturing process goes to the landfill.”

Last year alone, the Subaru plant recycled 13,142 tons of steel, 1,448 tons of paper products, 194 tons of plastics,

10 tons of solvent-soaked rags, and 4 tons of light bulbs. It thereby conserved 29,200 trees, 670,000 gallons of oil, 34,700 gallons of gas, 10 million gallons of water, and 53,000 million watts of electricity.

Going green isn’t easy, but it can be done!

Sources: The Wall Street Journal (March 23, 2009): R4; Industry Week (July 2008): 36–41; and Industrial Engineer (April 2006): 26–29.

OM in Action � Subaru’s Clean, Green Set of Wheels with ISO 14001

1. Create consistency of purpose. 2. Lead to promote change. 3. Build quality into the product; stop depending on inspections to catch problems. 4. Build long-term relationships based on performance instead of awarding business on the basis of price. 5. Continuously improve product, quality, and service. 6. Start training. 7. Emphasize leadership. 8. Drive out fear. 9. Break down barriers between departments.

10. Stop haranguing workers. 11. Support, help, and improve. 12. Remove barriers to pride in work. 13. Institute a vigorous program of education and self-improvement. 14. Put everybody in the company to work on the transformation.

Source: Deming, W. Edwards. Out of the Crisis, pp. 23–24, © 2000 W. Edwards Deming Institute, published by The MIT Press. Reprinted by permission.

� TABLE 6.2 Deming’s 14 Points for Implementing Quality Improvement

Chapter 6 Managing Quality 161

Continuous Improvement Total quality management requires a never-ending process of continuous improvement that cov- ers people, equipment, suppliers, materials, and procedures. The basis of the philosophy is that every aspect of an operation can be improved. The end goal is perfection, which is never achieved but always sought.

Plan-Do-Check-Act Walter Shewhart, another pioneer in quality management, developed a circular model known as PDCA (plan, do, check, act) as his version of continuous improvement. Deming later took this concept to Japan during his work there after World War II.3 The PDCA cycle is shown in Figure 6.3 as a circle to stress the continuous nature of the improvement process.

The Japanese use the word kaizen to describe this ongoing process of unending improvement— the setting and achieving of ever-higher goals. In the U.S., TQM and zero defects are also used to describe continuous improvement efforts. But whether it’s PDCA, kaizen, TQM, or zero defects, the operations manager is a key player in building a work culture that endorses continuous improvement.

Six Sigma The term Six Sigma, popularized by Motorola, Honeywell, and General Electric, has two meanings in TQM. In a statistical sense, it describes a process, product, or service with an extremely high capability (99.9997% accuracy). For example, if 1 million passengers pass through the St. Louis Airport with checked baggage each month, a Six Sigma program for bag- gage handling will result in only 3.4 passengers with misplaced luggage. The more common three-sigma program (which we address in the supplement to this chapter) would result in 2,700 passengers with misplaced bags every month. See Figure 6.4.

The second TQM definition of Six Sigma is a program designed to reduce defects to help lower costs, save time, and improve customer satisfaction. Six Sigma is a comprehensive system—a strategy, a discipline, and a set of tools—for achieving and sustaining business success:

• It is a strategy because it focuses on total customer satisfaction. • It is a discipline because it follows the formal Six Sigma Improvement Model known as

DMAIC. This five-step process improvement model (1) Defines the project’s purpose, scope, and outputs and then identifies the required process information, keeping in mind the customer’s

PDCA A continuous improvement model of plan, do, check. act.

LO3: Explain what Six Sigma is

Six Sigma A program to save time, improve quality, and lower costs.

3. Check Is the plan working?

2. Do Test the

plan.

4. Act Implement the plan,

document.

1. Plan Identify the

problem and make a plan.

Upper limits

Lower limits

2,700 defects/million

Mean

±3σ

±6σ

3.4 defects/million

� FIGURE 6.4 Defects per million for vs. —6S—3S

AUTHOR COMMENT Recall that provides

99.73% accuracy, while is 99.9997%.

; 6s ; 3s

3As a result, the Japanese refer to the PDCA cycle as a Deming circle, while others call it a Shewhart circle.

� FIGURE 6.3 PDCA cycle

162 PART 2 Designing Operations

definition of quality; (2) Measures the process and collects data; (3) Analyzes the data, ensur- ing repeatability (the results can be duplicated), and reproducibility (others get the same result); (4) Improves, by modifying or redesigning, existing processes and procedures; and (5) Controls the new process to make sure performance levels are maintained.

• It is a set of seven tools that we introduce shortly in this chapter: check sheets, scatter diagrams, cause-and-effect diagrams, Pareto charts, flowcharts, histograms, and statistical process control.

Motorola developed Six Sigma in the 1980s in response to customer complaints about its products, and to stiff competition. The company first set a goal of reducing defects by 90%. Within 1 year it had achieved such impressive results—through benchmarking competitors, soliciting new ideas from employees, changing reward plans, adding training, and revamping critical processes—that it documented the procedures into what it called Six Sigma. Although the concept was rooted in manufacturing, GE later expanded Six Sigma into services, including human resources, sales, customer services, and financial/credit services. The concept of wiping out defects turns out to be the same in both manufacturing and services.

Implementing Six Sigma Implementing Six Sigma “is a big commitment,” says the head of that program at Praxair, a major industrial gas company. “We’re asking our executives to spend upward of 15% of their time on Six Sigma. If you don’t spend the time, you don’t get the results.” Indeed, successful Six Sigma programs in every firm, from GE to Motorola to DuPont to Texas Instruments require a major time commitment, especially from top management. These leaders have to formulate the plan, communicate their buy-in and the firm’s objectives, and take a visible role in setting the example for others.

Successful Six Sigma projects are clearly related to the strategic direction of a company. It is a management-directed, team-based, and expert-led approach.4

Employee Empowerment Employee empowerment means involving employees in every step of the production process. Consistently, business literature suggests that some 85% of quality problems have to do with materials and processes, not with employee performance. Therefore, the task is to design equip- ment and processes that produce the desired quality. This is best done with a high degree of involvement by those who understand the shortcomings of the system. Those dealing with the system on a daily basis understand it better than anyone else. One study indicated that TQM pro- grams that delegate responsibility for quality to shop-floor employees tend to be twice as likely to succeed as those implemented with “top-down” directives.5

When nonconformance occurs, the worker is seldom wrong. Either the product was designed wrong, the system that makes the product was designed wrong, or the employee was improperly trained. Although the employee may be able to help solve the problem, the employee rarely causes it.

Techniques for building employee empowerment include (1) building communication net- works that include employees; (2) developing open, supportive supervisors; (3) moving respon- sibility from both managers and staff to production employees; (4) building high-morale organizations; and (5) creating such formal organization structures as teams and quality circles.

Teams can be built to address a variety of issues. One popular focus of teams is quality. Such teams are often known as quality circles. A quality circle is a group of employees who meet reg- ularly to solve work-related problems. The members receive training in group planning, problem solving, and statistical quality control. They generally meet once a week (usually after work but sometimes on company time). Although the members are not rewarded financially, they do receive recognition from the firm. A specially trained team member, called the facilitator, usually helps train the members and keeps the meetings running smoothly. Teams with a quality focus have proven to be a cost-effective way to increase productivity as well as quality.

4To train employees in how to improve quality and its relationship to customers, there are three other key players in the Six Sigma program: Master Black Belts, Black Belts, and Green Belts. Master Black Belts are full-time teachers who have extensive training in statistics, quality tools, and leadership. They mentor Black Belts, who in turn are project team leaders, directing perhaps a half-dozen projects per year. Dow Chemical and DuPont have more than 1,000 Black Belts each in their global operations. DuPont also has 160 Master Black Belts and introduces over 2,000 Green Belts per year into its ranks. 5“The Straining of Quality,” The Economist (January 14, 1995): 55. We also see that this is one of the strengths of Southwest Airlines, which offers bare-bones domestic service but whose friendly and humorous employees help it obtain number one ranking for quality. (See Fortune [March 6, 2006]: 65–69.)

Employee empowerment Enlarging employee jobs so that the added responsibility and authority is moved to the lowest level possible in the organization.

Quality circle A group of employees meeting regularly with a facilitator to solve work-related problems in their work area.

Chapter 6 Managing Quality 163

Benchmarking Benchmarking is another ingredient in an organization’s TQM program. Benchmarking involves selecting a demonstrated standard of products, services, costs, or practices that repre- sent the very best performance for processes or activities very similar to your own. The idea is to develop a target at which to shoot and then to develop a standard or benchmark against which to compare your performance. The steps for developing benchmarks are:

1. Determine what to benchmark. 2. Form a benchmark team. 3. Identify benchmarking partners. 4. Collect and analyze benchmarking information. 5. Take action to match or exceed the benchmark.

Typical performance measures used in benchmarking include percentage of defects, cost per unit or per order, processing time per unit, service response time, return on investment, customer satisfaction rates, and customer retention rates.

In the ideal situation, you find one or more similar organizations that are leaders in the partic- ular areas you want to study. Then you compare yourself (benchmark yourself) against them. The company need not be in your industry. Indeed, to establish world-class standards, it may be best to look outside your industry. If one industry has learned how to compete via rapid product development while yours has not, it does no good to study your industry.

This is exactly what Xerox and Mercedes Benz did when they went to L.L. Bean for order-filling and warehousing benchmarks. Xerox noticed that L.L. Bean was able to “pick” orders three times as fast as it could. After benchmarking, it was immediately able to pare warehouse costs by 10%. Mercedes Benz observed that L.L. Bean warehouse employees used flowcharts to spot wasted motions. The auto giant followed suit and now relies more on problem solving at the worker level.

Benchmarks often take the form of “best practices” found in other firms or in other divisions. Table 6.3 illustrates best practices for resolving customer complaints.

Likewise, Britain’s Great Ormond Street Hospital benchmarked the Ferrari Racing Team’s pit stops to improve one aspect of medical care. (See the OM in Action box on the next page.)

Internal Benchmarking When an organization is large enough to have many divisions or busi- ness units, a natural approach is the internal benchmark. Data are usually much more accessible than from outside firms. Typically, one internal unit has superior performance worth learning from.

Workers at this TRW airbag manufacturing plant in Marshall, Illinois, are their own inspectors. Empowerment is an essential part of TQM. This man is checking the quality of a crash sensor he built.

Benchmarking Selecting a demonstrated standard of performance that represents the very best performance for a process or an activity.

LO4: Explain how benchmarking is used in TQM

Best Practice Justification

Make it easy for clients to complain. Respond quickly to complaints. Resolve complaints on the first contact. Use computers to manage complaints. Recruit the best for customer service jobs.

It is free market research. It adds customers and loyalty. It reduces cost Discover trends, share them, and align your services. It should be part of formal training and career advancement.

Source: Canadian Government Guide on Complaint Mechanism.

� TABLE 6.3 Best Practices for Resolving Customer Complaints

164 PART 2 Designing Operations

6Note that benchmarking is good for evaluating how well you are doing the thing you are doing compared with the industry, but the more imaginative approach to process improvement is to ask, Should we be doing this at all? Comparing your warehousing operations to the marvelous job that L.L. Bean does is fine, but maybe you should be out- sourcing the warehousing function (see Supplement 11).

After surgeons successfully completed a 6-hour operation to fix a hole in a 3-year-old boy’s heart, Dr. Angus McEwan supervised one of the most dangerous phases of the procedure: the boy’s transfer from surgery to the intensive care unit.

Thousands of such “handoffs” occur in hospitals every day, and devastating mistakes can happen during them. In fact, at least 35% of preventable hospital mishaps take place because of handoff problems. Risks come from many sources: using temporary nursing staff, frequent shift changes for interns, surgeons working in larger teams, and an ever-growing tangle of wires and tubes connected to patients.

In one of the most unlikely benchmarks in modern medicine, Britain’s largest children’s hospital turned to Italy’s Formula One Ferrari racing team for help in revamping patient handoff techniques. Armed with videos and slides, the racing team described how they analyze pit crew performance. It also explained how its system for recording errors stressed the small ones that go unnoticed in pit-stop handoffs.

To move forward, Ferrari invited a team of doctors to attend practice sessions at the British Grand Prix in order to get closer looks at pit stops. Ferrari’s technical director, Nigel Stepney, then watched a video of a hospital handoff. Stepney was not impressed. “In fact, he was amazed at how clumsy, chaotic, and informal the process appeared,” said one hospital official. At that meeting, Stepney described how each Ferrari crew member is required

to do a specific job, in a specific sequence, and in silence. The hospital handoff, in contrast, had several conversations going on at once, while different members of its team disconnected or reconnected patient equipment, but in no particular order.

Results of the benchmarking process: handoff errors fell 42% to 49%, with a bonus of faster handoff time.

Sources: The Wall Street Journal (December 3, 2007): B11 and (November 14, 2006): A1, A8.

OM in Action � A Hospital Benchmarks against the Ferrari Racing Team?

Xerox’s almost religious belief in benchmarking has paid off not only by looking outward to L.L. Bean but by examining the operations of its various country divisions. For example, Xerox Europe, a $6 billion subsidiary of Xerox Corp., formed teams to see how better sales could result through internal benchmarking. Somehow, France sold five times as many color copiers as did other divisions in Europe. By copying France’s approach, namely, better sales training and use of dealer channels to supplement direct sales, Norway increased sales by 152%, Holland by 300%, and Switzerland by 328%!

Benchmarks can and should be established in a variety of areas. Total quality management requires no less.6

Just-in-Time (JIT) The philosophy behind just-in-time (JIT) is one of continuing improvement and enforced prob- lem solving. JIT systems are designed to produce or deliver goods just as they are needed. JIT is related to quality in three ways:

• JIT cuts the cost of quality: This occurs because scrap, rework, inventory investment, and damage costs are directly related to inventory on hand. Because there is less inventory on hand with JIT, costs are lower. In addition, inventory hides bad quality, whereas JIT immedi- ately exposes bad quality.

• JIT improves quality: As JIT shrinks lead time it keeps evidence of errors fresh and limits the number of potential sources of error. JIT creates, in effect, an early warning system for quality problems, both within the firm and with vendors.

Chapter 6 Managing Quality 165

• Better quality means less inventory and a better, easier-to-employ JIT system: Often the purpose of keeping inventory is to protect against poor production performance resulting from unreliable qual- ity. If consistent quality exists, JIT allows firms to reduce all the costs associated with inventory.

Taguchi Concepts Most quality problems are the result of poor product and process design. Genichi Taguchi has provided us with three concepts aimed at improving both product and process quality: quality robustness, quality loss function, and target-oriented quality.7

Quality robust products are products that can be produced uniformly and consistently in ad- verse manufacturing and environmental conditions. Taguchi’s idea is to remove the effects of adverse conditions instead of removing the causes. Taguchi suggests that removing the effects is often cheaper than removing the causes and more effective in producing a robust product. In this way, small variations in materials and process do not destroy product quality.

A quality loss function (QLF) identifies all costs connected with poor quality and shows how these costs increase as the product moves away from being exactly what the customer wants. These costs include not only customer dissatisfaction but also warranty and service costs; internal inspection, repair, and scrap costs; and costs that can best be described as costs to soci- ety. Notice that Figure 6.5(a) shows the quality loss function as a curve that increases at an increasing rate. It takes the general form of a simple quadratic formula:

All the losses to society due to poor performance are included in the loss function. The smaller the loss, the more desirable the product. The farther the product is from the target value, the more severe the loss.

Taguchi observed that traditional conformance-oriented specifications (i.e., the product is good as long as it falls within the tolerance limits) are too simplistic. As shown in Figure 6.5(b), conformance-oriented quality accepts all products that fall within the tolerance limits, producing more units farther from the target. Therefore, the loss (cost) is higher in terms of customer satis- faction and benefits to society. Target-oriented quality, on the other hand, strives to keep the prod- uct at the desired specification, producing more (and better) units near the target. Target-oriented quality is a philosophy of continuous improvement to bring the product exactly on target.

C = cost of the deviation at the specification limit D2 = square of the distance from the target value

where L = loss to society L = D2C

LO5: Explain quality robust products and Taguchi concepts

Quality robust Products that are consistently built to meet customer needs in spite of adverse conditions in the production process.

Quality loss function (QLF) A mathematical function that identifies all costs connected with poor quality and shows how these costs increase as product quality moves from what the customer wants.

Target-oriented quality brings products toward the target value.

Conformance-oriented quality keeps products within 3 standard deviations.

Distribution of Specifications for

Products Produced

(b)

Quality Loss Function

(a) High loss

Low loss

Loss (to producing organization, customer, and society)

Frequency

Lower

Specification

Target Upper

Poor

Fair

Good

Best

Unacceptable

Target-oriented quality yields more product in the “best” category.

� FIGURE 6.5 (a) Quality Loss Function and (b) Distribution of Products Produced Taguchi aims for the target because products produced near the upper and lower acceptable specifications result in higher quality loss function.

7G. Taguchi, S. Chowdhury, and Y. Wu, Taguchi’s Quality Engineering Handbook (New York: Wiley, 2004).

Target-oriented quality A philosophy of continuous improvement to bring a product exactly on target.

166 PART 2 Designing Operations

Knowledge of TQM Tools To empower employees and implement TQM as a continuing effort, everyone in the organization must be trained in the techniques of TQM. In the following section, we focus on some of the di- verse and expanding tools that are used in the TQM crusade.

TOOLS OF TQM Seven tools that are particularly helpful in the TQM effort are shown in Figure 6.6. We will now introduce these tools.

Check Sheets A check sheet is any kind of a form that is designed for recording data. In many cases, the re- cording is done so the patterns are easily seen while the data are being taken (see Figure 6.6[a]). Check sheets help analysts find the facts or patterns that may aid subsequent analysis. An

AUTHOR COMMENT These 7 tools will prove useful in many of your

courses and throughout your career.

Tools for Generating Ideas

Tools for Organizing the Data

Tools for Identifying Problems (f) Histogram: A distribution that shows the frequency of occurrences of a variable

(g) Statistical Process Control Chart: A chart with time on the horizontal axis for plotting values of a statistic

(b) Scatter Diagram: A graph of the value of one variable vs. another variable

(a) Check Sheet: An organized method of recording data

(c) Cause-and-Effect Diagram: A tool that identifies process elements (causes) that may affect an outcome

Defect 1

l l l

l l

l l l l l l l l l

l l l l l l l l

l l l l l l l l

2 3 4 5 6 7 8

A

B

C

Hour

Absenteeism

P ro

d u

c ti

v it

y

Effect MethodsMaterials

MachineryManpower

Cause

P e rc

e n

t

F re

q u

e n

c y

A B C D E

Repair time (minutes)

Distribution

F re

q u e n cy

Upper control limit

Lower control limit

Time

Target value

(d) Pareto Chart: A graph that identifies and plots problems or defects in descending order of frequency

(e) Flowchart (Process Diagram): A chart that describes the steps in a process

� FIGURE 6.6 Seven Tools of TQM

Chapter 6 Managing Quality 167

example might be a drawing that shows a tally of the areas where defects are occurring or a check sheet showing the type of customer complaints.

Scatter Diagrams Scatter diagrams show the relationship between two measurements. An example is the positive relationship between length of a service call and the number of trips a repairperson makes back to the truck for parts. Another example might be a plot of productivity and absenteeism, as shown in Figure 6.6(b). If the two items are closely related, the data points will form a tight band. If a random pattern results, the items are unrelated.

Cause-and-Effect Diagrams Another tool for identifying quality issues and inspection points is the cause-and-effect diagram, also known as an Ishikawa diagram or a fish-bone chart. Figure 6.7 illustrates a chart (note the shape resembling the bones of a fish) for a basketball quality control problem—missed free- throws. Each “bone” represents a possible source of error.

The operations manager starts with four categories: material, machinery/equipment, man- power, and methods. These four Ms are the “causes.” They provide a good checklist for initial analysis. Individual causes associated with each category are tied in as separate bones along that branch, often through a brainstorming process. For example, the method branch in Figure 6.7 has problems caused by hand position, follow-through, aiming point, bent knees, and balance. When a fish-bone chart is systematically developed, possible quality problems and inspection points are highlighted.

Pareto Charts Pareto charts are a method of organizing errors, problems, or defects to help focus on problem- solving efforts. They are based on the work of Vilfredo Pareto, a 19th-century economist. Joseph M. Juran popularized Pareto’s work when he suggested that 80% of a firm’s problems are a result of only 20% of the causes.

Example 1 indicates that of the five types of complaints identified, the vast majority were of one type—poor room service.

LO6: Use the seven tools of TQM

Cause-and-effect diagram A schematic technique used to discover possible locations of quality problems.

Material (ball)

Rim alignment

Size of ball

Lopsidedness

Method (shooting process)

Hand position

Follow-through

Missed free-throws

Conditioning

Consistency

Manpower (shooter)

Rim size

Machine (hoop & backboard)

Concentration

Motivation

Training

Balance

Bend knees

Aiming pointGrain/feel (grip)

Air pressure

Rim height

Backboard stability

Pareto charts Graphics that identify the few critical items as opposed to many less important ones.

Source: Adapted from MoreSteam.com, 2007.

� FIGURE 6.7 Fish-Bone Chart (or Cause-and-Effect Diagram) for Problems with Missed Free-throws

168 PART 2 Designing Operations

EXAMPLE 1 � A Pareto chart at the Hard Rock Hotel

The Hard Rock Hotel in Bali has just collected the data from 75 complaint calls to the general manager during the month of October. The manager wants to prepare an analysis of the complaints. The data provided are room service, 54; check-in delays, 12; hours the pool is open, 4; minibar prices, 3; and miscellaneous, 2.

APPROACH � A Pareto chart is an excellent choice for this analysis.

SOLUTION � The Pareto chart shown below indicates that 72% of the calls were the result of one cause: room service. The majority of complaints will be eliminated when this one cause is corrected.

Pareto analysis indicates which problems may yield the greatest payoff. Pacific Bell discov- ered this when it tried to find a way to reduce damage to buried phone cable, the number-one cause of phone outages. Pareto analysis showed that 41% of cable damage was caused by con- struction work. Armed with this information, Pacific Bell was able to devise a plan to reduce ca- ble cuts by 24% in one year, saving $6 million.

Likewise, Japan’s Ricoh Corp., a copier maker, used the Pareto principle to tackle the “call- back” problem. Callbacks meant the job was not done right the first time and that a second visit, at Ricoh’s expense, was needed. Identifying and retraining only the 11% of the customer engi- neers with the most callbacks resulted in a 19% drop in return visits.

Flowcharts Flowcharts graphically present a process or system using annotated boxes and interconnected lines (see Figure 6.6[e]). They are a simple, but great tool for trying to make sense of a process or explain a process. Example 2 uses a flowchart to show the process of completing an MRI at a hospital.

Room service Check-in Pool hours Minibar Misc.

F re

q u

e n

c y (

n u

m b

e r)

0

10

20

30

40

50

60

70

Causes as a percentage of the total

72% 16% 5% 4% 3%

54

12

4 3 2

C u

m u

la ti

v e p

e rc

e n

ta g

e

72

88 93 100

Data for October

Pareto Analysis of Hotel Complaints

Number of occurrences

INSIGHT � This visual means of summarizing data is very helpful—particularly with large amounts of data, as in the Southwestern University case study in the Lecture Guide & Activities Manual. We can immediately spot the top problems and prepare a plan to address them.

LEARNING EXERCISE � Hard Rock’s bar manager decides to do a similar analysis on com- plaints she has collected over the past year: too expensive, 22; weak drinks, 15; slow service, 65; short hours, 8; unfriendly bartender, 12. Prepare a Pareto chart. [Answer: slow service, 53%; expensive, 18%; drinks, 12%; bartender, 10%; hours, 7%.]

RELATED PROBLEMS � 6.1, 6.3, 6.7b, 6.12, 6.13, 6.16c

ACTIVE MODEL 6.1 This example is further illustrated in Active Model 6.1 at www.pearsonhighered.com/heizer.

Flowcharts Block diagrams that graphically describe a process or system.

Chapter 6 Managing Quality 169

� EXAMPLE 2 A flowchart for hospital MRI service

Arnold Palmer Hospital has undertaken a series of process improvement initiatives. One of these is to make the MRI service efficient for patient, doctor, and hospital. The first step, the administrator believes, is to develop a flowchart for this process.

APPROACH � A process improvement staffer observed a number of patients and followed them (and information flow) from start to end. Here are the 11 steps:

1. Physician schedules MRI after examining patient (START). 2. Patient taken to the MRI lab with test order and copy of medical records. 3. Patient signs in, completes required paperwork. 4. Patient is prepped by technician for scan. 5. Technician carries out the MRI scan. 6. Technician inspects film for clarity. 7. If MRI not satisfactory (20% of time), steps 5 and 6 are repeated. 8. Patient taken back to hospital room. 9. MRI is read by radiologist and report is prepared.

10. MRI and report are transferred electronically to physician. 11. Patient and physician discuss report (END).

SOLUTION � Here is the flowchart:

1 112 3 4 5 6

9

8

10

7 80%

20%

INSIGHT � With the flowchart in hand, the hospital can analyze each step and identify value- added activities and activities that can be improved or eliminated.

LEARNING EXERCISE � If the patient’s blood pressure is over 200/120 when being prepped for the MRI, she is taken back to her room for 2 hours and the process returns to Step 2. How does the flowchart change? Answer:

2 3 4

RELATED PROBLEMS � 6.6, 6.15

AUTHOR COMMENT Flowcharting any process

is an excellent way to understand and then try to

improve that process.

Histograms Histograms show the range of values of a measurement and the frequency with which each value occurs (see Figure 6.6[f]). They show the most frequently occurring readings as well as the vari- ations in the measurements. Descriptive statistics, such as the average and standard deviation, may be calculated to describe the distribution. However, the data should always be plotted so the shape of the distribution can be “seen.” A visual presentation of the distribution may also provide insight into the cause of the variation.

Statistical Process Control (SPC) Statistical process control monitors standards, makes measurements, and takes corrective action as a product or service is being produced. Samples of process outputs are examined; if they are within acceptable limits, the process is permitted to continue. If they fall outside certain specific ranges, the process is stopped and, typically, the assignable cause located and removed.

Control charts are graphic presentations of data over time that show upper and lower limits for the process we want to control (see Figure 6.6[g]). Control charts are constructed in such a

Statistical process control (SPC) A process used to monitor standards, make measurements, and take corrective action as a product or service is being produced.

Control charts Graphic presentations of process data over time, with predetermined control limits.

170 PART 2 Designing Operations

way that new data can be quickly compared with past performance data. We take samples of the process output and plot the average of each of these samples on a chart that has the limits on it. The up-per and lower limits in a control chart can be in units of temperature, pressure, weight, length, and so on.

Figure 6.8 shows the plot of the average percentages of samples in a control chart. When the average of the samples falls within the upper and lower control limits and no discernible pattern is present, the process is said to be in control with only natural variation present. Otherwise, the process is out of control or out of adjustment.

The supplement to this chapter details how control charts of different types are developed. It also deals with the statistical foundation underlying the use of this important tool.

THE ROLE OF INSPECTION To make sure a system is producing at the expected quality level, control of the process is needed. The best processes have little variation from the standard expected. The operations man- ager’s task is to build such systems and to verify, often by inspection, that they are performing to standard. This inspection can involve measurement, tasting, touching, weighing, or testing of the product (sometimes even destroying it when doing so). Its goal is to detect a bad process imme- diately. Inspection does not correct deficiencies in the system or defects in the products; nor does it change a product or increase its value. Inspection only finds deficiencies and defects. Moreover, inspections are expensive and do not add value to the product.

Inspection should be thought of as a vehicle for improving the system. Operations managers need to know critical points in the system: (1) when to inspect and (2) where to inspect.

When and Where to Inspect Deciding when and where to inspect depends on the type of process and the value added at each stage. Inspections can take place at any of the following points:

1. At your supplier’s plant while the supplier is producing. 2. At your facility upon receipt of goods from your supplier. 3. Before costly or irreversible processes. 4. During the step-by-step production process. 5. When production or service is complete. 6. Before delivery to your customer. 7. At the point of customer contact.

The seven tools of TQM discussed in the previous section aid in this “when and where to in- spect” decision. However, inspection is not a substitute for a robust product produced by well- trained employees in a good process. In one well-known experiment conducted by an independent research firm, 100 defective pieces were added to a “perfect” lot of items and then subjected to 100% inspection.8 The inspectors found only 68 of the defective pieces in their first inspection. It took another three passes by the inspectors to find the next 30 defects. The last two defects were never found. So the bottom line is that there is variability in the inspection process. Additionally, inspectors are only human: They become bored, they become tired, and

1

Game number

0%

10%

20%

2 3 4 5 6 7 8 9

Upper control limit

Plot of the percentage of free-throws missed

Lower control limit

Coach’s target value

� FIGURE 6.8 Control Chart for Percentage of Free-throws Missed by the Chicago Bulls in Their First Nine Games of the New Season

AUTHOR COMMENT One of the themes of quality

is that “quality cannot be inspected into a product.”

Inspection A means of ensuring that an operation is producing at the quality level expected.

8Statistical Quality Control (Springfield, MA: Monsanto Chemical Company, n.d.): 19.

Chapter 6 Managing Quality 171

the inspection equipment itself has variability. Even with 100% inspection, inspectors cannot guarantee perfection. Therefore, good processes, employee empowerment, and source control are a better solution than trying to find defects by inspection. You cannot inspect quality into the product.

For example, at Velcro Industries, as in many organizations, quality was viewed by machine operators as the job of “those quality people.” Inspections were based on random sampling, and if a part showed up bad, it was thrown out. The company decided to pay more attention to the system (operators, machine repair and design, measurement methods, communications, and responsibilities), and to invest more money in training. Over time as defects declined, Velcro was able to pull half its quality control people out of the process.

Source Inspection The best inspection can be thought of as no inspection at all; this “inspection” is always done at the source—it is just doing the job properly with the operator ensuring that this is so. This may be called source inspection (or source control) and is consistent with the concept of employee empowerment, where individual employees self-check their own work. The idea is that each supplier, process, and employee treats the next step in the process as the customer, ensuring perfect product to the next “customer.” This inspection may be assisted by the use of checklists and controls such as a fail-safe device called a poka-yoke, a name borrowed from the Japanese.

A poka-yoke is a foolproof device or technique that ensures production of good units every time. These special devices avoid errors and provide quick feedback of problems. A simple example of a poka-yoke device is the diesel gas pump nozzle that will not fit into the “unleaded” gas tank opening on your car. In McDonald’s, the french fry scoop and standard- size bag used to measure the correct quantity are poka-yokes. Similarly, in a hospital, the prepackaged surgical coverings that contain exactly the items needed for a medical procedure are poka-yokes. Checklists are another type of poka-yoke. The idea of source inspection and poka-yokes is to ensure that 100% good product or service is provided at each step in the process.

Service Industry Inspection In service-oriented organizations, inspection points can be assigned at a wide range of locations, as illustrated in Table 6.4. Again, the operations manager must decide where inspections are jus- tified and may find the seven tools of TQM useful when making these judgments.

Inspection of Attributes versus Variables When inspections take place, quality characteristics may be measured as either attributes or variables. Attribute inspection classifies items as being either good or defective. It does not address the degree of failure. For example, the lightbulb burns or it does not. Variable inspection

Good methods analysis and the proper tools can result in poka-yokes that improve both quality and speed. Here, two poka-yokes are demonstrated. First, the aluminum scoop automatically positions the french fries vertically, and second, the properly sized container ensures that the portion served is correct. McDonald’s thrives by bringing rigor and consistency to the restaurant business.

Source inspection Controlling or monitoring at the point of production or purchase—at the source.

Poka-yoke Literally translated, “foolproof”; it has come to mean a device or technique that ensures the production of a good unit every time.

Attribute inspection An inspection that classifies items as being either good or defective.

Variable inspection Classifications of inspected items as falling on a continuum scale, such as dimension, or strength.

172 PART 2 Designing Operations

measures such dimensions as weight, speed, size, or strength to see if an item falls within an acceptable range. If a piece of electrical wire is supposed to be 0.01 inch in diameter, a microme- ter can be used to see if the product is close enough to pass inspection.

Knowing whether attributes or variables are being inspected helps us decide which statistical quality control approach to take, as we will see in the supplement to this chapter.

TQM IN SERVICES The personal component of services is more difficult to measure than the quality of the tangible component. Generally, the user of a service, like the user of a good, has features in mind that form a basis for comparison among alternatives. Lack of any one feature may eliminate the ser- vice from further consideration. Quality also may be perceived as a bundle of attributes in which many lesser characteristics are superior to those of competitors. This approach to product com- parison differs little between goods and services. However, what is very different about the se- lection of services is the poor definition of the (1) intangible differences between products and (2) the intangible expectations customers have of those products. Indeed, the intangible attributes

AUTHOR COMMENT The personal component

of a service can make quality measurement

difficult.

Using checklists, as simple as they are, is a powerful way to improve quality. Everyone from airline pilots to physicians use them. Johns Hopkins Hospital uses checklists to monitor patients, and the Michigan Health and Hospital Association is using them with great success to reduce infections.

� TABLE 6.4 Examples of Inspection in Services

Organization What Is Inspected Standard

Jones Law Offices Receptionist performance Phone answered by the second ring Billing Accurate, timely, and correct format Attorney Promptness in returning calls

Hard Rock Hotel Reception desk Use customer’s name Doorman Greet guest in less than 30 seconds Room All lights working, spotless bathroom Minibar Restocked and charges accurately posted to bill

Arnold Palmer Billing Accurate, timely, and correct format Hospital Pharmacy Prescription accuracy, inventory accuracy

Lab Audit for lab-test accuracy Nurses Charts immediately updated Admissions Data entered correctly and completely

Olive Garden Busboy Serves water and bread within 1 minute Restaurant Busboy Clears all entrée items and crumbs prior to dessert

Waiter Knows and suggests specials, desserts

Nordstrom Department Display areas Attractive, well organized, stocked, good lighting Store Stockrooms Rotation of goods, organized, clean

Salesclerks Neat, courteous, very knowledgeable

Chapter 6 Managing Quality 173

Hair can’t grow below shirt collar

Turn in sales leads

No smoking in front of customers

No beards

Use DIAD to log everything from driver’s miles per gallon to tracking data on parcels

Key ring held on the pinky finger

“All Good Kids Love Milk”: the five seeing habits of drivers: Aim high in steering, Get the big picture, Keep your eyes moving, Leave yourself an out, Make sure they see you

Sideburns can’t grow below the bottom of the ear

Undershirts must be either white or brown

Shirts can’t be unbuttoned below the first button

Load boxes neatly and evenly like a stack of bricks

Walk briskly. No running allowed

Sport clean uniform every day

Black or brown polishable shoes, nonslip soles

Toot horn when arriving at business or residence

Present parcels for five stops ahead

UPS drivers are taught 340 precise methods of how to correctly deliver a package. Regimented? Absolutely. But UPS credits its uniformity and efficiency with laying the foundation for its high- quality service.

may not be defined at all. They are often unspoken images in the purchaser’s mind. This is why all of those marketing issues such as advertising, image, and promotion can make a difference (see the photo of the UPS driver).

The operations manager plays a significant role in addressing several major aspects of service quality. First, the tangible component of many services is important. How well the service is designed and produced does make a difference. This might be how accurate, clear, and complete your checkout bill at the hotel is, how warm the food is at Taco Bell, or how well your car runs after you pick it up at the repair shop.

Second, another aspect of service and service quality is the process. Notice in Table 6.5 that 9 out of 10 of the determinants of service quality are related to the service process. Such things as reliability and courtesy are part of the process. An operations manager can design processes (service products) that have these attributes and can ensure their quality through the TQM techniques discussed in this chapter.

Third, the operations manager should realize that the customer’s expectations are the standard against which the service is judged. Customers’ perceptions of service quality result from a com- parison of their before-service expectations with their actual-service experience. In other words, service quality is judged on the basis of whether it meets expectations. The manager may be able to influence both the quality of the service and the expectation. Don’t promise more than you can deliver.

Fourth, the manager must expect exceptions. There is a standard quality level at which the regular service is delivered, such as the bank teller’s handling of a transaction. However, there are “exceptions” or “problems” initiated by the customer or by less-than-optimal operating conditions (e.g., the computer “crashed”). This implies that the quality control system must recognize and have a set of alternative plans for less-than-optimal operating conditions.

Well-run companies have service recovery strategies. This means they train and empower frontline employees to immediately solve a problem. For instance, staff at Marriott Hotels are

VIDEO 6.2 TQM at Ritz-Carlton Hotels

Service recovery Training and empowering frontline workers to solve a problem immediately.

174 PART 2 Designing Operations

drilled in the LEARN routine—Listen, Empathize, Apologize, React, Notify—with the final step ensuring that the complaint is fed back into the system. And at the Ritz-Carlton, staff members are trained not to say merely “sorry” but “please accept my apology.” The Ritz gives them a budget for reimbursing upset guests.

Designing the product, managing the service process, matching customer expectations to the product, and preparing for the exceptions are keys to quality services. The OM in Action box “Richey International’s Spies” provides another glimpse of how OM managers improve quality in services.

How do luxury hotels maintain quality? They inspect. But when the product is one-on-one service, largely dependent on personal behavior, how do you inspect? You hire spies!

Richey International is the spy. Preferred Hotels and Resorts Worldwide and Intercontinental Hotels have both hired Richey to do quality evaluations via spying. Richey employees posing as customers perform the inspections. However, even then management must have established what the customer expects and specific services that yield customer satisfaction. Only then do managers know where and how to inspect. Aggressive training and objective inspections reinforce behavior that will meet those customer expectations.

The hotels use Richey’s undercover inspectors to ensure performance to exacting standards. The hotels do not know when the evaluators will arrive. Nor what aliases they will use. Over 50 different standards are evaluated before the inspectors even check in at a luxury hotel. Over the next 24 hours, using checklists,

tape recordings, and photos, written reports are prepared. The reports include evaluation of standards such as:

• Does the doorman greet each guest in less than 30 seconds?

• Does the front-desk clerk use the guest’s name during check-in?

• Is the bathroom tub and shower spotlessly clean? • How many minutes does it take to get coffee after the

guest sits down for breakfast? • Did the waiter make eye contact? • Were minibar charges posted correctly on the bill?

Established standards, aggressive training, and inspections are part of the TQM effort at these hotels. Quality does not happen by accident.

Sources: Hotel and Motel Management (August 2002): 128; The Wall Street Journal (May 12, 1999): B1, B12; and Forbes (October 5, 1998): 88–89.

OM in Action � Richey International’s Spies

� TABLE 6.5 Determinants of Service Quality

Reliability involves consistency of performance and dependability. It means that the firm performs the service right the first time and that the firm honors its promises.

Responsiveness concerns the willingness or readiness of employees to provide service. It involves timeliness of service.

Competence means possession of the required skills and knowledge to perform the service. Access involves approachability and ease of contact. Courtesy involves politeness, respect, consideration, and friendliness of contact personnel (including

receptionists, telephone operators, etc.).

Communication means keeping customers informed in language they can understand and listening to them. It may mean that the company has to adjust its language for different consumers—increasing the level of sophistication with a well-educated customer and speaking simply and plainly with a novice.

Credibility involves trustworthiness, believability, and honesty. It involves having the customer’s best interests at heart.

Security is the freedom from danger, risk, or doubt. Understanding/knowing the customer involves making the effort to understand the customer’s needs. Tangibles include the physical evidence of the service.

Source: Adapted from A. Parasuranam, Valarie A. Zeithaml, and Leonard L. Berry, “A Conceptual Model of Service Quality and its Implications for Future Research,” Journal of Marketing (Fall 1985): 44; Journal of Marketing, 58, no. 1 (January 1994): 111–125; Journal of Retailing 70 (Fall 1994): 201–230.

Chapter 6 Managing Quality 175

CHAPTER SUMMARY Quality is a term that means different things to different peo- ple. We define quality as “the totality of features and charac- teristics of a product or service that bears on its ability to satisfy stated or implied needs.” Defining quality expectations is critical to effective and efficient operations.

Quality requires building a total quality management (TQM) environment because quality cannot be inspected into a product. The chapter also addresses seven TQM concepts: continuous

improvement, Six Sigma, employee empowerment, benchmarking, just-in- time, Taguchi concepts, and knowl- edge of TQM tools. The seven TQM tools introduced in this chapter are check sheets, scatter diagrams, cause-and- effect diagrams, Pareto charts, flowcharts, his- tograms, and statistical process control (SPC).

Key Terms

Quality (p. 156) Cost of quality (COQ) (p. 158) ISO 9000 (p. 159) ISO 14000 (p. 159) Total quality management (TQM) (p. 160) PDCA (p. 161) Six Sigma (p. 161) Employee empowerment (p. 162) Quality circle (p. 162)

Benchmarking (p. 163) Quality robust (p. 165) Quality loss function (QLF) (p. 165) Target-oriented quality (p. 165) Cause-and-effect diagram, Ishikawa

diagram, or fish-bone chart (p. 167) Pareto charts (p. 167) Flowcharts (p. 168) Statistical process control (SPC) (p. 169)

Control charts (p. 169) Inspection (p. 170) Source inspection (p. 171) Poka-yoke (p. 171) Attribute inspection (p. 171) Variable inspection (p. 171) Service recovery (p. 173)

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Westover Electrical, Inc.: This electric motor manufacturer has a large log of defects in its wiring process.

Bibliography

Besterfield, Dale H. Quality Control, 8th ed. Upper Saddle River, NJ: Prentice Hall, 2009.

Brown, Mark G. Baldrige Award Winning Quality, 19th ed. University Park, IL: Productivity Press, 2010.

Crosby, P. B. Quality Is Still Free. New York: McGraw-Hill, 1996.

Evans, J. R., and W. M. Lindsay. Managing for Quality and Performance Excellence. 7th ed. Mason, OH: Thompson- Southwestern, 2008.

Feigenbaum, A. V. “Raising the Bar.” Quality Progress 41, no. 7 (July 2008): 22–28.

Gitlow, Howard S. A Guide to Lean Six Sigma Management Skills. University Park, IL: Productivity Press, 2009.

Gonzalez-Benito, J., and O. Gonzalez-Benito. “Operations Management Practices Linked to the Adoption of ISO 14001.” International Journal of Production Economics 113, no. 1 (May 2008): 60.

Gryna, F. M., R. C. H. Chua, and J. A. DeFeo. Juran’s Quality Planning and Analysis for Enterprise Quality, 5th ed. New York: McGraw-Hill, 2007.

Harrington, D. R., M. Khanna, and G. Deltas. “Striving to Be Green: The Adoption of Total Quality Environmental Management.” Applied Economics 40, no. 23 (December 2008): 2995.

Mitra, Amit. Fundamentals of Quality Control and Improvement. New York: Wiley, 2009.

Pande, P. S., R. P. Neuman, R. R. Cavanagh. What Is Design for Six Sigma? New York: McGraw-Hill, 2005.

Schroeder, Roger G., et al. “Six Sigma: Definition and Underlying Theory.” Journal of Operations Management 26, no. 4 (2008): 536–554.

Soltani, E., P. Lai, and P. Phillips. “A New Look at Factors Influencing Total Quality Management Failure.” New Technology, Work, and Employment 23, no. 1–2 (March 2008): 125.

Stewart, D. M. “Piecing Together Service Quality: A Framework for Robust Service.” Production and Operations Management (Summer 2003): 246–265.

Summers, Donna. Quality Management, 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2009.

This page intentionally left blank

Statistical Process Control

Supplement Outline

Statistical Process Control (SPC) 178

Process Capability 191

Acceptance Sampling 193

177

SUPPLEMENTSUPPLEMENT

BetzDearborn, A Division of Hercules Incorporated, is headquartered in Trevose, Pennsylvania. It is a global supplier of specialty chemicals for the treatment of industrial water, wastewater, and process systems. The company uses statistical process control to monitor the performance of treatment programs in a wide variety of industries throughout the world. BetzDearborn’s quality assurance laboratory (shown here) also uses statistical sampling techniques to monitor manufacturing processes at all of the company’s production plants.

STATISTICAL PROCESS CONTROL (SPC) In this supplement, we address statistical process control—the same techniques used at BetzDearborn, at IBM, at GE, and at Motorola to achieve quality standards. We also introduce acceptance sampling. Statistical process control is the application of statistical techniques to the control of processes. Acceptance sampling is used to determine acceptance or rejection of material evaluated by a sample.

Statistical process control (SPC) is a statistical technique that is widely used to ensure that processes meet standards. All processes are subject to a certain degree of variability. While studying process data in the 1920s, Walter Shewhart of Bell Laboratories made the distinction between the common and special causes of variation. Many people now refer to these variations as natural and assignable causes. He developed a simple but powerful tool to separate the two— the control chart.

We use statistical process control to measure performance of a process. A process is said to be operating in statistical control when the only source of variation is common (natural) causes. The process must first be brought into statistical control by detecting and eliminating special (assignable) causes of variation.1 Then its performance is predictable, and its ability to meet cus- tomer expectations can be assessed. The objective of a process control system is to provide a sta- tistical signal when assignable causes of variation are present. Such a signal can quicken appropriate action to eliminate assignable causes.

LO1: Explain the purpose of a control chart 180

LO2: Explain the role of the central limit theorem in SPC 181

LO3: Build -charts and R-charts 181

LO4: List the five steps involved in building control charts 185

x

AUTHOR COMMENT In this supplement we

show you how to set up a control chart.

Supplement 6 Learning Objectives

LO5: Build p-charts and c-charts 186

LO6: Explain process capability and compute Cp and Cpk 191

LO7: Explain acceptance sampling 193

LO8: Compute the AOQ 195

Statistical process control (SPC) A process used to monitor standards by taking measurements and corrective action as a product or service is being produced.

Control chart A graphical presentation of process data over time.

1Removing assignable causes is work. Quality expert W. Edwards Deming observed that a state of statistical control is not a natural state for a manufacturing process. Deming instead viewed it as an achievement, arrived at by elimination, one by one, by determined effort, of special causes of excessive variation. See J. R. Thompson and J. Koronacki, Statistical Process Control, The Deming Paradigm and Beyond. Boca Raton, FL: Chapman and Hall, 2002.

178 PART 2 Designing Operations

Supplement 6 Statistical Process Control 179

Natural variations Variability that affects every production process to some degree and is to be expected; also known as common cause.

Natural Variations Natural variations affect almost every production process and are to be expected. Natural variations are the many sources of variation that occur within a process that is in statistical control. Natural variations behave like a constant system of chance causes. Although individual values are all different, as a group they form a pattern that can be described as a distribution. When these distributions are normal, they are characterized by two parameters:

• Mean, (the measure of central tendency—in this case, the average value) • Standard deviation, (the measure of dispersion)

As long as the distribution (output measurements) remains within specified limits, the process is said to be “in control,” and natural variations are tolerated.

Assignable Variations Assignable variation in a process can be traced to a specific reason. Factors such as machine wear, misadjusted equipment, fatigued or untrained workers, or new batches of raw material are all potential sources of assignable variations.

Natural and assignable variations distinguish two tasks for the operations manager. The first is to ensure that the process is capable of operating under control with only natural variation. The second is, of course, to identify and eliminate assignable variations so that the processes will remain under control.

Samples Because of natural and assignable variation, statistical process control uses averages of small samples (often of four to eight items) as opposed to data on individual parts. Individual pieces tend to be too erratic to make trends quickly visible.

Figure S6.1 provides a detailed look at the important steps in determining process variation. The horizontal scale can be weight (as in the number of ounces in boxes of cereal) or length (as in fence posts) or any physical measure. The vertical scale is frequency. The samples of five boxes of cereal in Figure S6.1 (a) are weighed; (b) form a distribution, and (c) can vary. The dis- tributions formed in (b) and (c) will fall in a predictable pattern (d) if only natural variation is present. If assignable causes of variation are present, then we can expect either the mean to vary or the dispersion to vary, as is the case in (e).

s

m

Assignable variation Variation in a production process that can be traced to specific causes.

F re

q u e n cy

Weight

(a)

(b)

(c)

(e)

(d)

Samples of the product, say five boxes of cereal taken off the filling machine line, vary from one another in weight.

After enough sample means are taken from a stable process, they form a pattern called a distribution.

There are many types of distributions, including the normal (bell-shaped) distribution, but distributions do differ in terms of central tendency (mean), standard deviation or variance, and shape.

If only natural causes of variation are present, the output of a process forms a distribution that is stable over time and is predictable.

If assignable causes of variation are present, the process output is not stable over time and is not predictable. That is, when causes that are not an expected part of the process occur, the samples will yield unexpected distributions that vary by central tendency, standard deviation, and shape.

F re

q u e n cy

Weight

F re

q u e n cy

Weight

Measure of central tendency (mean)

Variation (std. deviation)

Each of these represents one

sample of five boxes of cereal.

The solid line represents

the distribution.

Shape

F re

q u e n cy

Weight

Prediction

Weight Weight

Time

F re

q u e n cy

Weight

Prediction ??

? ?

? ??

???? ????

Time

� FIGURE S6.1 Natural and Assignable Variation

180 PART 2 Designing Operations

Control Charts The process of building control charts is based on the concepts presented in Figure S6.2. This figure shows three distributions that are the result of outputs from three types of processes. We plot small samples and then examine characteristics of the resulting data to see if the process is within “control limits.” The purpose of control charts is to help distinguish between natural variations and variations due to assignable causes. As seen in Figure S6.2, a process is (a) in control and the process is capable of producing within established control limits, (b) in control but the process is not capable of producing within established limits, or (c) out of control. We now look at ways to build control charts that help the operations manager keep a process under control.

Control Charts for Variables The variables of interest here are those that have continuous dimensions. They have an infinite number of possibilities. Examples are weight, speed, length, or strength. Control charts for the mean, or x-bar, and the range, R, are used to monitor processes that have continuous dimen- sions. The -chart tells us whether changes have occurred in the central tendency (the mean, in this case) of a process. These changes might be due to such factors as tool wear, a gradual increase in temperature, a different method used on the second shift, or new and stronger materi- als. The R-chart values indicate that a gain or loss in dispersion has occurred. Such a change may be due to worn bearings, a loose tool, an erratic flow of lubricants to a machine, or to slop- piness on the part of a machine operator. The two types of charts go hand in hand when monitor- ing variables because they measure the two critical parameters: central tendency and dispersion.

The Central Limit Theorem The theoretical foundation for -charts is the central limit theorem. This theorem states that regardless of the distribution of the population, the distribution of s (each of which is a mean of a sample drawn from the population) will tend to follow a normal curve as the number of sam- ples increases. Fortunately, even if the sample (n) is fairly small (say, 4 or 5), the distributions of the averages will still roughly follow a normal curve. The theorem also states that: (1) the mean of the distribution of the s (called ) will equal the mean of the overall population (called ); and (2) the standard deviation of the sampling distribution, , will be the population standard deviation, divided by the square root of the sample size, n. In other words:

(S6-1)x = m

sx

mxx

x x

x x

-chart A quality control chart for variables that indicates when changes occur in the central tendency of a production process.

x

R-chart A control chart that tracks the “range” within a sample; it indicates that a gain or loss in uniformity has occurred in dispersion of a production process.

LO1: Explain the purpose of a control chart

Frequency

Size (weight, length, speed, etc.)

Upper control limitLower control limit

⎧ ⎪ ⎨ ⎪ ⎩

⎧ ⎪ ⎨ ⎪ ⎩

A process with only natural causes of variation and capable of producing within the specified control limits

(a) In statistical control and capable of producing within control limits

(b) In statistical control but not capable of producing within control limits

(c) Out of control

⎧ ⎪ ⎨ ⎪ ⎩ A process in control (only natural

causes of variation are present) but not capable of producing within the specified control limits

⎧ ⎪ ⎨ ⎪ ⎩

A process out of control having assignable causes of variation

� FIGURE S6.2 Process Control: Three Types of Process Outputs

2The standard deviation is easily calculated as s = Q

a n

i= 1 1xi - x22

n - 1 .

Central limit theorem The theoretical foundation for

-charts, which states that regardless of the distribution of the population of all parts or services, the distribution of s tends to follow a normal curve as the number of samples increases.

x

x

2

Supplement 6 Statistical Process Control 181

and

(S6-2)

Figure S6.3 shows three possible population distributions, each with its own mean, and stan- dard deviation, If a series of random samples ( and so on), each of size n, is drawn from any population distribution (which could be normal, beta, uniform, and so on), the resulting distribution of will appear as they do in Figure S6.3.

Moreover, the sampling distribution, as is shown in Figure S6.4, will have less variability than the process distribution. Because the sampling distribution is normal, we can state that:

• 95.45% of the time, the sample averages will fall within if the process has only natural variations.

• 99.73% of the time, the sample averages will fall within if the process has only natural variations.

If a point on the control chart falls outside of the control limits, then we are 99.73% sure the process has changed. This is the theory behind control charts.

Setting Mean Chart Limits ( -Charts) If we know, through past data, the standard deviation of the process population, we can set upper and lower control limits by using these formulas:

(S6-3)

(S6-4)

where � mean of the sample means or a target value set for the process

z � number of normal standard deviations (2 for 95.45% confidence, 3 for 99.73%)

� standard deviation of the sample means = s>1nsx

x

Lower control limit 1LCL2 = x - zsx

Upper control limit 1UCL2 = x + zsx

s,

x

; 3sx

; 3sx

; 2sx

xis

x1, x2, x3, x4,s. m,

sx = s

1n

LO2: Explain the role of the central limit theorem in SPC

LO3: Build -charts and R-charts

x

95.45% fall within ±2σx

99.73% of all x ´s fall within ±3σx

(mean)

Beta

Normal

Uniform

Population distributions

Distribution of sample means

+2σx +3σx+1σx–1σx–2σx–3σx x

Mean of sample means = x

Standard deviation of the sample means =σx

σ √n

=

� FIGURE S6.3 The Relationship between Population and Sampling Distributions Even though the population distributions will differ (e.g., normal, beta, uniform), each with its own mean and standard deviation the distribution of sample means always approaches a normal distribution.

1s2, 1m2

s � population (process) standard deviation n � sample size

Example S1 shows how to set control limits for sample means using standard deviations.

182 PART 2 Designing Operations

EXAMPLE S1 � Setting control limits using samples

(mean)

x = μ

Sampling distribution of means

Process distribution of means

� FIGURE S6.4 The Sampling Distribution of Means Is Normal and Has Less Variability Than the Process Distribution In this figure, the process distribution from which the sample was drawn was also normal, but it could have been any distribution.

The weights of boxes of Oat Flakes within a large production lot are sampled each hour. Managers want to set control limits that include 99.73% of the sample means.

APPROACH � Randomly select and weigh nine boxes each hour. Then find the overall mean and use Equations (S6–3) and (S6–4) to compute the control limits. Here are the nine boxes chosen for Hour 1:

1n = 92

17 oz.

Oat Flakes

13 oz. 16 oz. 18 oz. 17 oz. 16 oz. 15 oz. 17 oz. 16 oz.

Oat Flakes

Oat Flakes

Oat Flakes

Oat Flakes

Oat Flakes

Oat Flakes

Oat Flakes

Oat Flakes

SOLUTION �

Also, the population standard deviation is known to be 1 ounce. We do not show each of the boxes randomly selected in hours 2 through 12, but here are all 12 hourly samples:

1s2

= 16.1 ounces.

The average weight in the first sample = 17 + 13 + 16 + 18 + 17 + 16 + 15 + 17 + 16

9

Weight of Sample Weight of Sample Weight of Sample

Hour (Avg. of 9 Boxes) Hour (Avg. of 9 Boxes) Hour (Avg. of 9 Boxes)

1 16.1 5 16.5 9 16.3 2 16.8 6 16.4 10 14.8 3 15.5 7 15.2 11 14.2 4 16.5 8 16.4 12 17.3

The average mean of the 12 samples is calculated to be exactly 16 ounces. We therefore have ounces, ounce, and The control limits are:

The 12 samples are then plotted on the following control chart:

LCLx = x - zsx = 16 - 3¢ 1 19 ≤ = 16 - 3¢1

3 ≤ = 15 ounces UCLx = x + zsx = 16 + 3¢ 119≤ = 16 + 3¢13≤ = 17 ounces

z = 3.n = 9,� = 1 x = 16

AUTHOR COMMENT If you want to see an example

of such variability in your supermarket, go to the soft drink section and line up a few 2-liter bottles of Coke, Pepsi, or any other brand.

Notice that the liquids are not the same measurement.

Supplement 6 Statistical Process Control 183

Because process standard deviations are either not available or difficult to compute, we usually calculate control limits based on the average range values rather than on standard deviations. Table S6.1 provides the necessary conversion for us to do so. The range is defined as the differ- ence between the largest and smallest items in one sample. For example, the heaviest box of Oat Flakes in Hour 1 of Example S1 was 18 ounces and the lightest was 13 ounces, so the range for that hour is 5 ounces. We use Table S6.1 and the equations:

(S6-5)

and:

(S6-6)

average range of the samples

value found in Table S6.1

mean of the sample means

Example S2 shows how to set control limits for sample means by using Table S6.1 and the average range.

x = A2 =

where R = LCLx = x - A2R

UCLx = x + A2R

Sample Size, n Mean Factor, A2 Upper Range, D4 Lower Range, D3 2 1.880 3.268 0 3 1.023 2.574 0 4 .729 2.282 0 5 .577 2.115 0 6 .483 2.004 0 7 .419 1.924 0.076 8 .373 1.864 0.136 9 .337 1.816 0.184

10 .308 1.777 0.223 12 .266 1.716 0.284

Source: Reprinted by permission of American Society for Testing Materials. Copyright 1951. Taken from Special Technical Publication 15–C, “Quality Control of Materials,” pp. 63 and 72. Copyright ASTM INTERNATIONAL. Reprinted with permission.

INSIGHT � Because the means of recent sample averages fall outside the upper and lower control limits of 17 and 15, we can conclude that the process is becoming erratic and is not in control.

LEARNING EXERCISE � If Oat Flakes’s population standard deviation is 2 (instead of 1), what is your conclusion? [Answer: the process would be in control.]

RELATED PROBLEMS � S6.1, S6.2, S6.4, S6.8, S6.10a,b

EXCEL OM Data File Ch06SExS1.xls can be found at www.pearsonhighered.com/heizer.

LCL = 14, UCL = 18; 1s2

Control Chart for samples of 9 boxes

17 = UCL

Out of control

Out of controlSample number

1 2 3 4 5 6 7 8 9 10 11 12

Variation due to assignable

causes

Variation due to assignable

causes

Variation due to natural causes16 = Mean

15 = LCL

� TABLE S6.1 Factors for Computing Control Chart Limits (3 sigma)

184 PART 2 Designing Operations

EXAMPLE S2 � Setting mean limits using table values

Super Cola bottles soft drinks labeled “net weight 12 ounces.” Indeed, an overall process average of 12 ounces has been found by taking many samples, in which each sample contained 5 bottles. The average range of the process is .25 ounce. The OM team wants to determine the upper and lower control limits for averages in this process.

APPROACH � Super Cola applies Equations (S6-5) and (S6-6) and uses the column of Table S6.1.

SOLUTION � Looking in Table S6.1 for a sample size of 5 in the mean factor column, we find the value .577. Thus, the upper and lower control chart limits are:

INSIGHT � The advantage of using this range approach, instead of the standard deviation, is that it is easy to apply and may be less confusing.

LEARNING EXERCISE � If the sample size was and the average range ounces, what are the revised and ? [Answer: 12.146, 11.854.]

RELATED PROBLEMS � S6.3a, S6.5, S6.6, S6.7, S6.9, S6.10b,c,d S6.11, S6.34

EXCEL OM Data File Ch06SExS2.xls can be found at www.pearsonhighered.com/heizer.

LCLxUCLx

= .20n = 4

= 11.856 ounces = 12 - .144

LCLx = x - A2R

= 12.144 ounces

= 12 + .144

= 12 + 1.57721.252

UCLx = x + A2R

A2

A2

VIDEO S6.1 Farm to Fork: Quality

of Darden Restaurants

11.5 UCL=11.524

UCL=0.6943

R=0.2125

LCL=10.394

LCL=0

USL

LSL 10 USL 12

Specifications LSL

x=10.959

1 3 5 7 9 11 13 15 17

10.5

11.0

x Bar Chart

S a m

p le

M e a n

0.8

1 3 5

10 .2

10 .5

10 .8

11 .1

11 .4

11 .7

12 .0

7 9 11 13 15 17 0.0

0.4

Range Chart

Capability Histogram

S a m

p le

R a n g e

Mean = 10.959 Std.dev = 1.88 Cp = 1.77 Cpk = 1.7

Capability

AUTHOR COMMENT Here the restaurant chain

uses weight (11 oz) as a measure of SPC for

salmon filets.

AUTHOR COMMENT The range here is the

difference between the heaviest and the lightest

salmon filets weighed in each sample. A range chart shows

changes in dispersion.

Salmon filets are monitored by Darden Restaurant’s SPC software, which includes and R-charts and a process capability histogram. The video case study “Farm to Fork,” in the Lecture Guide & Activities Manual, asks you to interpret these figures.

x-

Supplement 6 Statistical Process Control 185

Setting Range Chart Limits (R-Charts) In Examples S1 and S2, we determined the upper and lower control limits for the process average. In addition to being concerned with the process average, operations managers are inter- ested in the process dispersion, or range. Even though the process average is under control, the dispersion of the process may not be. For example, something may have worked itself loose in a piece of equipment that fills boxes of Oat Flakes. As a result, the average of the samples may remain the same, but the variation within the samples could be entirely too large. For this reason, operations managers use control charts for ranges to monitor the process variability, as well as control charts for averages, which monitor the process central tendency. The theory behind the control charts for ranges is the same as that for process average control charts. Limits are estab- lished that contain standard deviations of the distribution for the average range We can use the following equations to set the upper and lower control limits for ranges:

(S6-7)

(S6-8)

where upper control chart limit for the range lower control chart limit for the range values from Table S6.1

Example S3 shows how to set control limits for sample ranges using Table S6.1 and the average range.

D4 and D3 = LCLR = UCLR =

LCLR = D3R

UCLR = D4R

R.; 3

� EXAMPLE S3 Setting range limits using table values

The average range of a product at Clinton Manufacturing is 5.3 pounds. With a sample size of 5, owner Roy Clinton wants to determine the upper and lower control chart limits.

APPROACH � Looking in Table S6.1 for a sample size of 5, he finds that and

SOLUTION � The range control limits are:

INSIGHT � Computing ranges with Table S6.1 is straightforward and an easy way to evaluate dispersion.

LEARNING EXERCISE � Clinton decides to increase the sample size to What are the new and values? [Answer: 10.197, 0.403]

RELATED PROBLEMS � S6.3b, S6.5, S6.6, S6.7, S6.9, S6.10c, S6.11, S6.12, S6.34

LCLRUCLR

n = 7.

LCLR = D3R = 10215.3 pounds2 = 0

UCLR = D4R = 12.115215.3 pounds2 = 11.2 pounds

D3 = 0.D4 = 2.115

Using Mean and Range Charts The normal distribution is defined by two parameters, the mean and standard deviation. The (mean)-chart and the R-chart mimic these two parameters. The -chart is sensitive to shifts in the process mean, whereas the R-chart is sensitive to shifts in the process standard deviation. Consequently, by using both charts we can track changes in the process distribution.

For instance, the samples and the resulting -chart in Figure S6.5(a) show the shift in the process mean, but because the dispersion is constant, no change is detected by the R-chart. Conversely, the samples and the -chart in Figure S6.5(b) detect no shift (because none is present), but the R-chart does detect the shift in the dispersion. Both charts are required to track the process accurately.

Steps to Follow When Using Control Charts There are five steps that are generally followed in using and R-charts:

1. Collect 20 to 25 samples, often of or observations each, from a stable process and compute the mean and range of each.

2. Compute the overall means ( and ), set appropriate control limits, usually at the 99.73% level, and calculate the preliminary upper and lower control limits. Refer to

Rx

n = 5n = 4

x-

x

x

x x

LO4: List the five steps involved in building control charts

186 PART 2 Designing Operations

UCL

UCL

LCL

LCL

These sampling distributions result in the charts below.

These sampling distributions result in the charts below.

(a)

(b)

UCL

UCL

LCL

LCL

x-chart (x-chart detects shift in central tendency

(Sampling mean is shifting upward, but range is consistent.)

(Sampling mean is constant, but dispersion is increasing.)

(R-chart does not detect change in mean.)

(x-chart does not detect the increase in dispersion.)

(R-chart detects increase in dispersion.)

x-chart

R-chart

R-chart

.)

� Figure S6.5 Mean and Range Charts Complement Each Other by Showing the Mean and Dispersion of the Normal Distribution

Table S6.2 for other control limits. If the process is not currently stable and in control, use the desired mean, instead of to calculate limits.

3. Graph the sample means and ranges on their respective control charts and determine whether they fall outside the acceptable limits.

4. Investigate points or patterns that indicate the process is out of control. Try to assign causes for the variation, address the causes, and then resume the process.

5. Collect additional samples and, if necessary, revalidate the control limits using the new data.

Control Charts for Attributes Control charts for and R do not apply when we are sampling attributes, which are typically classified as defective or nondefective. Measuring defectives involves counting them (for exam- ple, number of bad lightbulbs in a given lot, or number of letters or data entry records typed with errors), whereas variables are usually measured for length or weight. There are two kinds of attribute control charts: (1) those that measure the percent defective in a sample—called p-charts—and (2) those that count the number of defects—called c-charts.

p-Charts Using p-charts is the chief way to control attributes. Although attributes that are either good or bad follow the binomial distribution, the normal distribution can be used to calcu- late p-chart limits when sample sizes are large. The procedure resembles the -chart approach, which is also based on the central limit theorem.

The formulas for p-chart upper and lower control limits follow:

(S6-9)

(S6-10)LCLp = p - zspN

UCLp = p + zspN

x

x

xm,

LO5: Build p-charts and c-charts

p-chart A quality control chart that is used to control attributes.

AUTHOR COMMENT Mean ( ) charts are a

measure of central tendency, while range (R) charts are a measure of dispersion. SPC requires both charts for a

complete assessment because a sample mean

could be out of control while the range is in control, and

vice versa.

x

� TABLE S6.2 Common z Values

Desired Control Limit

(%)

z-Value (standard deviation required

for desired level of

confidence)

90.0 1.65 95.0 1.96 95.45 2.00 99.0 2.58 99.73 3.00

Supplement 6 Statistical Process Control 187

VIDEO S6.2 Frito-Lay’s Quality-Controlled

Potato Chips

where = mean fraction defective in the samples z = number of standard deviations ( for 95.45% limits; for 99.73% limits) = standard deviation of the sampling distribution

is estimated by the formula:

(S6-11)

where = number of observations in each samples

Example S4 shows how to set control limits for p-charts for these standard deviations.

n

spN = A p11 - p2 n

spN

spN

z = 3z = 2 p

Clerks at Mosier Data Systems key in thousands of insurance records each day for a variety of client firms. CEO Donna Mosier wants to set control limits to include 99.73% of the random variation in the data entry process when it is in control.

APPROACH � Samples of the work of 20 clerks are gathered (and shown in the table). Mosier carefully examines 100 records entered by each clerk and counts the number of errors. She also computes the fraction defective in each sample. Equations (S6-9), (S6-10), and (S6-11) are then used to set the control limits.

� EXAMPLE S4 Setting control limits for percent defective

Sample Number

Number of Errors

Fraction Defective

Sample Number

Number of Errors

Fraction Defective

1 6 .06 11 6 .06 2 5 .05 12 1 .01 3 0 .00 13 8 .08 4 1 .01 14 7 .07 5 4 .04 15 5 .05 6 2 .02 16 4 .04 7 5 .05 17 11 .11 8 3 .03 18 3 .03 9 3 .03 19 0 .00

10 2 .02 20 4 .04

80

SOLUTION �

(Note: 100 is the size of each sample n.)=

spN = A 1.04211 - .042

100 = .02 1rounded up from .01962

p = Total number of errors

Total number of records examined =

80

110021202 = .04

Frito-Lay uses charts to control production quality at critical points in the process. Each half-hour, three batches of chips are taken from the conveyor (on the left) and analyzed electronically to get an average salt content which is plotted on an -chart (on the right). Points plotted in the green zone are “in control,” while those in the yellow zone are “out of control.” The SPC chart is displayed, where all production employees can monitor process stability.

x x

188 PART 2 Designing Operations

(because we cannot have a negative percentage defective)

INSIGHT � When we plot the control limits and the sample fraction defectives, we find that only one data-entry clerk (number 17) is out of control. The firm may wish to examine that individual’s work a bit more closely to see if a serious problem exists (see Figure S6.6).

LCLp = p - zspN = .04 - 31.022 = 0

UCLp = p + zspN = .04 + 31.022 = .10

.11

.10

.09

.08

.07

.06

.05

.04

.03

.02

.01

.00 1 2 3 4 5 6 7 8 9 10 11 12

Sample number

13 14 15 16 17 18 19 20

F ra

ct io

n d

e fe

ct iv

e

UCLp = 0.10

p = 0.04–

LCLp = 0.00

� FIGURE S6.6 p-Chart for Data Entry for Example S4

LEARNING EXERCISE � Mosier decides to set control limits at 95.45% instead. What are the new and [Answer: 0.08, 0]

RELATED PROBLEMS � S6.13, S6.14, S6.15, S6.16, S6.17, S6.18, S6.19, S6.20, S6.25, S6.35

EXCEL OM Data File Ch06SExS4.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL S6.1 This example is further illustrated in Active Model S6.1 at www.pearsonhighered.com/heizer.

LCLp?UCLp

AUTHOR COMMENT We are always pleased to be at zero or below the center line in a p-chart.

The OM in Action box “Unisys Corp.’s Costly Experiment in Health Care Services” provides a real-world follow-up to Example S4.

c-Charts In Example S4, we counted the number of defective records entered. A defective record was one that was not exactly correct because it contained at least one defect. However, a bad record may contain more than one defect. We use c-charts to control the number of defects per unit of output (or per insurance record, in the preceding case).

c-chart A quality control chart used to control the number of defects per unit of output.

When Unisys Corp. expanded into the computerized health care service business things looked rosy. It had just beat out Blue Cross/Blue Shield of Florida for an $86 million contract to serve Florida’s state employee health-insurance services. Its job was to handle the 215,000 Florida employees’ claims processing—a seemingly simple and lucrative growth area for an old-line computer company like Unisys.

But 1 year later the contract was not only torn up, Unisys was fined more than $500,000 for not meeting quality standards. Here are two of the measures of quality, both attributes (that is, either “defective” or “not defective”) on which the firm was out of control:

1. Percentage of claims processed with errors: An audit over a 3-month period, by Coopers & Lybrand, found that Unisys made errors in 8.5% of claims processed. The industry standard is 3.5% “defectives.”

2. Percentage of claims processed within 30 days: For this attribute measure, a “defect” is a processing time longer than the contract’s time allowance. In one month’s sample, 13% of the claims exceeded the 30-day limit, far above the 5% allowed by the state of Florida.

The Florida contract was a migraine for Unisys, which underestimated the labor-intensiveness of health claims. CEO James Unruh pulled the plug on future ambitions in health care. Meanwhile, the State of Florida’s Ron Poppel says, “We really need somebody that’s in the insurance business.”

Sources: Knight Ridder Tribune Business News (October 20, 2004): 1 and (February 7, 2002): 1; and BusinessWeek (June 16, 1997): 6.

OM in Action � Unisys Corp.’s Costly Experiment in Health Care Services

Supplement 6 Statistical Process Control 189

3A Poisson probability distribution is a discrete distribution commonly used when the items of interest (in this case, defects) are infrequent or occur in time and space.

Sampling wine from these wooden barrels, to make sure it is aging properly, uses both SPC (for alcohol content and acidity) and subjective measures (for taste).

Control charts for defects are helpful for monitoring processes in which a large number of potential errors can occur, but the actual number that do occur is relatively small. Defects may be errors in newspaper words, bad circuits in a microchip, blemishes on a table, or missing pickles on a fast-food hamburger.

The Poisson probability distribution,3 which has a variance equal to its mean, is the basis for c-charts. Because is the mean number of defects per unit, the standard deviation is equal to . To compute 99.73% control limits for , we use the formula:

(S6-12)

Example S5 shows how to set control limits for a -chart.c

Control limits = c ; 32c

c 2cc

� EXAMPLE S5 Setting control limits for number defective

Red Top Cab Company receives several complaints per day about the behavior of its drivers. Over a 9-day period (where days are the units of measure), the owner, Gordon Hoft, received the following numbers of calls from irate passengers: 3, 0, 8, 9, 6, 7, 4, 9, 8, for a total of 54 complaints. Hoft wants to compute 99.73% control limits.

APPROACH � He applies Equation (S6–12).

SOLUTION �

Thus:

INSIGHT � After Hoft plotted a control chart summarizing these data and posted it prominently in the drivers’ locker room, the number of calls received dropped to an average of three per day. Can you explain why this occurred?

LEARNING EXERCISE � Hoft collects 3 more days’ worth of complaints (10, 12, and 8 com- plaints) and wants to combine them with the original 9 days to compute updated control limits. What are the revised and ? [Answer: 14.94, 0.]

RELATED PROBLEMS � S6.21, S6.22, S6.23, S6.24

EXCEL OM Data File Ch06SExS5.xls can be found at www.pearsonhighered.com/heizer.

LCLcUCLc

LCLc = c - 32c = 6 - 316 = 6 - 312.452 = 0 ; 1since it cannot be negative2 UCLc = c + 32c = 6 + 316 = 6 + 312.452 = 13.35, or 13

c = 54

9 = 6 complaints per day

190 PART 2 Designing Operations

Managerial Issues and Control Charts In an ideal world, there is no need for control charts. Quality is uniform and so high that employ- ees need not waste time and money sampling and monitoring variables and attributes. But because most processes have not reached perfection, managers must make three major decisions regarding control charts.

First, managers must select the points in their process that need SPC. They may ask “Which parts of the job are critical to success?” or “Which parts of the job have a tendency to become out of control?”

Second, managers need to decide if variable charts (i.e., and R) or attribute charts (i.e., p and c) are appropriate. Variable charts monitor weights or dimensions. Attribute charts are more of a “yes–no” or “go–no go” gauge and tend to be less costly to implement. Table S6.3 can help you understand when to use each of these types of control charts.

Third, the company must set clear and specific SPC policies for employees to follow. For exam- ple, should the data-entry process be halted if a trend is appearing in percent defective records being keyed? Should an assembly line be stopped if the average length of five successive samples is above the centerline? Figure S6.7 illustrates some of the patterns to look for over time in a process.

x

Variable Data Using an -Chart and an R-Chart

1. Observations are variables, which are usually products measured for size or weight. Examples are the width or length of a wire being cut and the weight of a can of Campbell’s soup.

2. Collect 20 to 25 samples, usually of or more, each from a stable process, and compute the means for an -chart and the ranges for an R-chart.

3. We track samples of n observations each, as in Example S1. x

n = 4, n = 5,

x

Attribute Data Using a p-Chart

1. Observations are attributes that can be categorized as good or bad (or pass–fail, or functional– broken), that is, in two states.

2. We deal with fraction, proportion, or percent defectives. 3. There are several samples, with many observations in each. For example, 20 samples of n = 100

observations in each, as in Example S4.

Using a c-Chart

1. Observations are attributes whose defects per unit of output can be counted. 2. We deal with the number counted, which is a small part of the possible occurrences. 3. Defects may be: number of blemishes on a desk; complaints in a day; crimes in a year; broken seats

in a stadium; typos in a chapter of this text; or flaws in a bolt of cloth, as is shown in Example S5.

� TABLE S6.3 Helping You Decide Which Control Chart to Use

Upper control limit

Target

Lower control limit

Upper control limit

Target

Lower control limit

Normal behavior. Process is “in control.”

One point out above (or below). Investigate for cause. Process is “out of control.”

Run of 5 points above (or below) central line. Investigate for cause.

Two points very near lower (or upper) control. Investigate for cause.

Trends in either direction, 5 points. Investigate for cause of progressive change. This could be the result of gradual tool wear.

Erratic behavior. Investigate.

� FIGURE S6.7 Patterns to Look for on Control Charts

Source: Adapted from Bertrand L. Hansen, Quality Control: Theory and Applications (1991): 65. Reprinted by permission of Prentice Hall, Upper Saddle River, New Jersey.

AUTHOR COMMENT This is a really useful table.

When you are not sure which control chart to use, turn

here for clarification.

AUTHOR COMMENT Workers in companies such as Frito-Lay are trained to

follow rules like these.

Supplement 6 Statistical Process Control 191

A tool called a run test is available to help identify the kind of abnormalities in a process that we see in Figure S6.7. In general, a run of 5 points above or below the target or centerline may suggest that an assignable, or nonrandom, variation is present. When this occurs, even though all the points may fall inside the control limits, a flag has been raised. This means the process may not be statisti- cally in control. A variety of run tests are described in books on the subject of quality methods.4

PROCESS CAPABILITY Statistical process control means keeping a process in control. This means that the natural varia- tion of the process must be stable. But a process that is in statistical control may not yield goods or services that meet their design specifications (tolerances). The ability of a process to meet design specifications, which are set by engineering design or customer requirements, is called process capability. Even though that process may be statistically in control (stable), the output of that process may not conform to specifications.

For example, let’s say the time a customer expects to wait for the completion of a lube job at Quik Lube is 12 minutes, with an acceptable tolerance of minutes. This tolerance gives an upper specification of 14 minutes and a lower specification of 10 minutes. The lube process has to be capable of operating within these design specifications—if not, some customers will not have their requirements met. As a manufacturing example, the tolerances for Harley-Davidson cam gears are extremely low, only 0.0005 inch—and a process must be designed that is capable of achieving this tolerance.

There are two popular measures for quantitatively determining if a process is capable: process capability ratio ( ) and process capability index ( ).

Process Capability Ratio (Cp) For a process to be capable, its values must fall within upper and lower specifications. This typi- cally means the process capability is within standard deviations from the process mean. Since this range of values is 6 standard deviations, a capable process tolerance, which is the dif- ference between the upper and lower specifications, must be greater than or equal to 6.

The process capability ratio, is computed as:

(S6-13)

Example S6 shows the computation of Cp.

Cp = Upper specification – Lower specification

6s

Cp,

; 3

CpkCp

; 2

Run test A test used to examine the points in a control chart to see if nonrandom variation is present.

Process capability The ability to meet design specifications.

LO6: Explain process capability and compute Cp and Cpk

AUTHOR COMMENT Here we deal with whether

a process meets the specification it was designed to yield.

Cp A ratio for determining whether a process meets design specifications; a ratio of the specification to the process variation.

4See Gerald Smith, Statistical Process Control and Process Improvement, 7th ed. (Upper Saddle River, NJ: Prentice Hall, 2010).

� EXAMPLE S6 Process capability ratio (Cp)

In a GE insurance claims process, minutes, and minutes. The design specification to meet customer expectations is minutes. So the Upper

Specification is 213 minutes and the lower specification is 207 minutes. The OM manager wants to compute the process capability ratio.

APPROACH � GE applies Equation (S6-13).

SOLUTION �

INSIGHT � Since a ratio of 1.00 means that 99.73% of a process’s outputs are within specifica- tions, this ratio suggests a very capable process, with nonconformance of less than 4 claims per million.

LEARNING EXERCISE � If (instead of .516), what is the new ? [Answer: 1.667, a very capable process still.]

RELATED PROBLEMS � S6.26, S6.27

EXCEL OM Data File Ch06SExS6.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL S6.2 This example is further illustrated in Active Model S6.2 at www.pearsonhighered.com/heizer.

Cp� = .60

Cp = Upper specification - Lower specification

6s =

213 - 207 61.5162

= 1.938

210 ; 3 � = .516x = 210.0

A capable process has a of at least 1.0. If the is less than 1.0, the process yields products or services that are outside their allowable tolerance. With a of 1.0, 2.7 parts in 1,000 can beCp

CpCp

192 PART 2 Designing Operations

Cpk A proportion of variation ( ) between the center of the process and the nearest specification limit.

3s

5This is because a of 1.0 has 99.73% of outputs within specifications. So with 1,000 parts, there are

For a of 2.0, 99.99966% of outputs are “within spec.” So with 1 million parts, there are 3.4 defects.

1.00 - .9999966 = .0000034;Cp .0027 * 1,000 = 2.7 defects.

1.00 - .9973 = .0027;Cp

EXAMPLE S7 � Process capability index (Cpk)

You are the process improvement manager and have developed a new machine to cut insoles for the company’s top-of-the-line running shoes. You are excited because the company’s goal is no more than 3.4 defects per million and this machine may be the innovation you need. The insoles cannot be more than of an inch from the required thickness of .250�. You want to know if you should replace the existing machine, which has a of 1.0.

APPROACH � You decide to determine the , using Equation (S6-14), for the new machine and make a decision on that basis.

SOLUTION �

Mean of the new process Estimated standard deviation of the new process

Both calculations result in:

INSIGHT � Because the new machine has a of only 0.67, the new machine should not replace the existing machine.

LEARNING EXERCISE � If the insoles can be (instead of ) from the required , what is the new ? [Answer: 1.33 and the new machine should replace the existing one.]

RELATED PROBLEMS � S6.27, S6.28, S6.29, S6.30, S6.31

EXCEL OM Data File Ch06SExS7.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL S6.2 This example is further illustrated in Active Model S6.2 at www.pearsonhighered.com/heizer.

Cpk.250– .001–; .002–

Cpk

.001

.0015 = .67.

Cpk = Minimum of B1.2512 - .250 132.0005

, .250 - 1.2492 132.0005

R Cpk = Minimum of BUpper specification limit - X3s , X - Lower specification limit3s R = � = .0005 inch.

X = .250 inch.

Lower specification limit = .249 inch Upper specification limit = .251 inch

Cpk

Cpk

; .001

expected to be “out of spec.”5 The higher the process capability ratio, the greater the likelihood the process will be within design specifications. Many firms have chosen a Cp of 1.33 (a 4-sigma standard) as a target for reducing process variability. This means that only 64 parts per million can be expected to be out of specification.

Recall that in Chapter 6 we mentioned the concept of Six Sigma quality, championed by GE and Motorola. This standard equates to a of 2.0, with only 3.4 defective parts per million (very close to zero defects) instead of the 2.7 parts per 1,000 with 3-sigma limits.

Although relates to the spread (dispersion) of the process output relative to its tolerance, it does not look at how well the process average is centered on the target value.

Process Capability Index (Cpk) The process capability index, Cpk, measures the difference between the desired and actual dimensions of goods or services produced.

The formula for is:

(S6-14)

where

When the index for both the upper and lower specification limits equals 1.0, the process variation is centered and the process is capable of producing within standard deviations (fewer than 2,700 defects per million). A Cpk of 2.0 means the process is capable of producing fewer than 3.4 defects per million. For Cpk to exceed 1, must be less than of the difference between the specification and the process mean ( ). Figure S6.8 shows the meaning of various mea- sures of Cpk, and Example S7 shows an application of Cpk.

X

1 3�

; 3 Cpk

� = standard deviation of the process population X = process mean

Cpk = Minimum of BUpper specification limit - X3s , X - Lower specification limit3s RCpk Cp

Cp

Supplement 6 Statistical Process Control 193

Cpk = negative number (Process does not meet specifications.)

Cpk = zero (Process does not meet specifications.)

Cpk = between 0 and 1 (Process does not meet specifications.)

Cpk = 1 (Process meets specifications.)

Cpk greater than 1 (Process is better than the specification requires.) Lower

specification limit

Upper specification

limit

� FIGURE S6.8 Meanings of Cpk Measures A Cpk index of 1.0 for both the upper and lower control limits indicates that the process variation is within the upper and lower control limits. As the Cpk index goes above 1.0, the process becomes increasingly target oriented, with fewer defects. If the Cpk is less than 1.0, the process will not produce within the specified tolerance. Because a process may not be centered, or may “drift,” a Cpk above 1 is desired.

Note that and will be the same when the process is centered. However, if the mean of the process is not centered on the desired (specified) mean, then the smaller numerator in Equation (S6-14) is used (the minimum of the difference between the upper specification limit and the mean or the lower specification limit and the mean). This application of is shown in Solved Problem S6.4. is the standard criterion used to express process performance.

ACCEPTANCE SAMPLING6 Acceptance sampling is a form of testing that involves taking random samples of “lots,” or batches, of finished products and measuring them against predetermined standards. Sampling is more economical than 100% inspection. The quality of the sample is used to judge the quality of all items in the lot. Although both attributes and variables can be inspected by acceptance sam- pling, attribute inspection is more commonly used, as illustrated in this section.

Cpk

Cpk

CpkCp

Flowers Bakery in Villa Rica, Georgia, uses a digital camera to inspect just-baked sandwich buns as they move along the production line. Items that don’t measure up in terms of color, shape, seed distribution, or size are identified and removed automatically from the conveyor.

Acceptance sampling A method of measuring random samples of lots or batches of products against predetermined standards.

LO7: Explain acceptance sampling

6Refer to Tutorial 2 on our free website www.pearsonhighered.com/heizer for an extended discussion of acceptance sampling.

194 PART 2 Designing Operations

Operating characteristic (OC) curve A graph that describes how well an acceptance plan discriminates between good and bad lots.

Producer’s risk The mistake of having a producer’s good lot rejected through sampling.

7Note that sampling always runs the danger of leading to an erroneous conclusion. Let us say in one company that the total population under scrutiny is a load of 1,000 computer chips, of which in reality only 30 (or 3%) are defective. This means that we would want to accept the shipment of chips, because for this particular firm 4% is the allowable defect rate. However, if a random sample of chips was drawn, we could conceivably end up with 0 defects and accept that shipment (that is, it is okay), or we could find all 30 defects in the sample. If the latter happened, we could wrongly conclude that the whole population was 60% defective and reject them all.

n = 50

0

Indifference zone

100

95

75

50

25

10

0 2 4 6 81 3 5 7

Bad lotsGood lots

Consumer’s risk

for LTPD AQL LTPD

Probability of

acceptance

β = .10 Percentage defective

α = .05 Producer’s risk for AQL

� FIGURE S6.9 An Operating Characteristic (OC) Curve Showing Producer’s and Consumer’s Risks A good lot for this particular acceptance plan has less than or equal to 2% defectives. A bad lot has 7% or more defectives.

Consumer’s risk The mistake of a customer’s acceptance of a bad lot overlooked through sampling.

Acceptable quality level (AQL) The quality level of a lot considered good.

Acceptance sampling can be applied either when materials arrive at a plant or at final inspection, but it is usually used to control incoming lots of purchased products. A lot of items rejected, based on an unacceptable level of defects found in the sample, can (1) be returned to the supplier or (2) be 100% inspected to cull out all defects, with the cost of this screening usually billed to the supplier. However, acceptance sampling is not a substitute for adequate process controls. In fact, the current approach is to build statistical quality controls at suppliers so that acceptance sampling can be eliminated.

Operating Characteristic Curve The operating characteristic (OC) curve describes how well an acceptance plan discriminates between good and bad lots. A curve pertains to a specific plan—that is, to a combination of n (sample size) and c (acceptance level). It is intended to show the probability that the plan will accept lots of various quality levels.

With acceptance sampling, two parties are usually involved: the producer of the product and the consumer of the product. In specifying a sampling plan, each party wants to avoid costly mistakes in accepting or rejecting a lot. The producer usually has the responsibility of replacing all defects in the rejected lot or of paying for a new lot to be shipped to the customer. The producer, therefore, wants to avoid the mistake of having a good lot rejected (producer’s risk). On the other hand, the customer or consumer wants to avoid the mistake of accepting a bad lot because defects found in a lot that has already been accepted are usually the responsibility of the customer (consumer’s risk). The OC curve shows the features of a particular sampling plan, including the risks of making a wrong decision.7

Figure S6.9 can be used to illustrate one sampling plan in more detail. Four concepts are illus- trated in this figure.

The acceptable quality level (AQL) is the poorest level of quality that we are willing to accept. In other words, we wish to accept lots that have this or a better level of quality, but no lower. If an acceptable quality level is 20 defects in a lot of 1,000 items or parts, then AQL is

defectives.20>1,000 = 2%

AUTHOR COMMENT Figure S6.9 is further

illustrated in Active Model S6.3 on our website, www.

pearsonhighered.com/heizer

Supplement 6 Statistical Process Control 195

The lot tolerance percentage defective (LTPD) is the quality level of a lot that we consider bad. We wish to reject lots that have this or a poorer level of quality. If it is agreed that an unac- ceptable quality level is 70 defects in a lot of 1,000, then the LTPD is defective.

To derive a sampling plan, producer and consumer must define not only “good lots” and “bad lots” through the AQL and LTPD, but they must also specify risk levels.

Producer’s risk ( ) is the probability that a “good” lot will be rejected. This is the risk that a random sample might result in a much higher proportion of defects than the population of all items. A lot with an acceptable quality level of AQL still has an � chance of being rejected. Sampling plans are often designed to have the producer’s risk set at or 5%.

Consumer’s risk ( ) is the probability that a “bad” lot will be accepted. This is the risk that a random sample may result in a lower proportion of defects than the overall population of items. A common value for consumer’s risk in sampling plans is

The probability of rejecting a good lot is called a type I error. The probability of accepting a bad lot is a type II error.

Sampling plans and OC curves may be developed by computer (as seen in the software avail- able with this text), by published tables, or by calculation, using binomial or Poisson distributions.

Average Outgoing Quality In most sampling plans, when a lot is rejected, the entire lot is inspected and all defective items replaced. Use of this replacement technique improves the average outgoing quality in terms of percent defective. In fact, given (1) any sampling plan that replaces all defective items encountered and (2) the true incoming percent defective for the lot, it is possible to determine the average outgoing quality (AOQ) in percentage defective. The equation for AOQ is:

(S6-15)

where true percentage defective of the lot probability of accepting the lot for a given sample size and quantity defective number of items in the lot number of items in the sample

The maximum value of AOQ corresponds to the highest average percentage defective or the low- est average quality for the sampling plan. It is called the average outgoing quality limit (AOQL).

Acceptance sampling is useful for screening incoming lots. When the defective parts are replaced with good parts, acceptance sampling helps to increase the quality of the lots by reduc- ing the outgoing percent defective.

Figure S6.10 compares acceptance sampling, SPC, and . As Figure S6.10 shows, (a) acceptance sampling by definition accepts some bad units, (b) control charts try to keep the process in control, but (c) the Cpk index places the focus on improving the process. As operations managers, that is what we want to do—improve the process.

Cpk

n = N = Pa = Pd =

AOQ = 1Pd21Pa21N - n2

N

b = .10, or 10%.

� � = .05,

70>1,000 = 7% Lot tolerance percentage defective (LTPD) The quality level of a lot considered bad.

This laser tracking device, by Faro Technologies, enables quality control personnel to measure and inspect parts and tools during production. The tracker can measure objects from 100 feet away and takes up to 1,000 readings per second.

Type I error Statistically, the probability of rejecting a good lot.

Type II error Statistically, the probability of accepting a bad lot.

Average outgoing quality (AOQ) The percentage defective in an average lot of goods inspected through acceptance sampling

LO8: Compute the AOQ

196 PART 2 Designing Operations

SUPPLEMENT SUMMARY Statistical process control is a major statistical tool of quality control. Control charts for SPC help operations managers distin- guish between natural and assignable variations. The -chart and the R-chart are used for variable sampling, and the p-chart and

x

the c-chart for attribute sampling. The index is a way to express process capability. Operating characteristic (OC) curves facilitate acceptance sampling and provide the manager with tools to evaluate the quality of a production run or shipment.

Cpk

Key Terms

Statistical process control (SPC) (p. 178) Control chart (p. 178) Natural variations (p. 179) Assignable variation (p. 179) -chart (p. 180)

R-chart (p. 180) Central limit theorem (p. 180) p-chart (p. 186)

x

c-chart (p. 188) Run test (p. 191) Process capability (p. 191) Cp (p. 191) Cpk (p. 192) Acceptance sampling (p. 193) Operating characteristic (OC) curve (p. 194) Producer’s risk (p. 194)

Consumer’s risk (p. 194) Acceptable quality level (AQL) (p. 194) Lot tolerance percentage defective

(LTPD) (p. 195) Type I error (p. 195) Type II error (p. 195) Average outgoing quality (AOQ) (p. 195)

Lower specification

limit

Process mean, μ

Upper specification

limit (a) Acceptance sampling (Some bad units accepted; the “lot” is good or bad.)

(b) Statistical process control (Keep the process “in control.”)

(c) Cpk > 1 (Design a process that is in control.)

� FIGURE S6.10 The Application of Statistical Process Techniques Contributes to the Identification and Systematic Reduction of Process Variability

Using Software for SPC

Excel, Excel OM, and POM for Windows may be used to develop control charts for most of the prob- lems in this chapter.

X Creating Excel Spreadsheets to Determine Control Limits for a c-Chart Excel and other spreadsheets are extensively used in industry to maintain control charts. Program S6.1 is an example of how to use Excel to determine the control limits for a c-chart. c-charts are used when the number of defects per unit of output is known. The data from Example S5 are used. In this example, 54 complaints occurred over 9 days. Excel also contains a built-in graphing ability with Chart Wizard.

PROGRAM S6.1 � An Excel Spreadsheet for Creating a c-Chart

for Example S5

Supplement 6 Statistical Process Control 197

X Using Excel OM Excel OM’s Quality Control module has the ability to develop -charts, p-charts, and c-charts. It also handles OC curves, acceptance sampling, and process capability. Program S6.2 illustrates Excel OM’s spreadsheet approach to computing the control limits for the Oat Flakes company in Example S1.x

x

Value Cell Excel Formula

Total Defects E6 =SUM(B6:B14) Defect rate, l E7 =E6/B3 Standard deviation E8 =SQRT(E7) Upper Control Limit E11 =E7+E9*E8 Center Line E12 =E7 Lower Control Limit E13 =IF(E7-E9*E8>0,E7-E9*E8,0)

Enter the desired number of standard deviations.

Do not change this cell without changing the number of rows in the data table.

Enter the mean weight for each of the 12 samples.

Calculate x-bar-bar-the overall average weight of all the samples = AVERAGE (B10:B21).

Use the overall average as the center line; add and subtract the product of the desired number of standard deviations and sigma x-bar in order to create upper and lower control limits (e.g., LCL = F10 – F11*F12).

= B7/SQRT(B6)

= B22

Enter the size for each of the hourly samples taken.

� PROGRAM S6.2 Excel OM Input and Selected Formulas for the Oat Flakes Example S1

P Using POM for Windows The POM for Windows Quality Control module has the ability to compute all the SPC control charts we introduced in this supplement, as well as OC curves, acceptance sampling, and process capability. See Appendix IV for further details.

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM S6.1 A manufacturer of precision machine parts produces round shafts for use in the construction of drill presses. The average diameter of a shaft is .56 inch. Inspection samples contain 6 shafts each. The average range of these samples is .006 inch. Determine the upper and lower control chart limits.x

� SOLUTION The mean factor from Table S6.1 where the sample size is 6, is seen to be .483. With this factor, you can obtain the upper and lower control limits:

= .5571 inch LCLx = .56 - .0029

= .5629 inch = .56 + .0029

UCLx = .56 + 1.48321.0062

A2

198 PART 2 Designing Operations

� SOLVED PROBLEM S6.2 Nocaf Drinks, Inc., a producer of decaffeinated coffee, bottles Nocaf. Each bottle should have a net weight of 4 ounces. The machine that fills the bottles with coffee is new, and the operations manager wants to make sure that it is properly adjusted. Bonnie Crutcher, the operations manager, randomly selects and weighs

bottles and records the average and range in ounces for each sample. The data for several samples is given in the follow- ing table. Note that every sample consists of 8 bottles.

n = 8

� SOLUTION We first find that and Then, using Table S6.1, we find:

It appears that the process average and range are both in statistical control.

The operations manager needs to determine if a process with a mean (4.03) slightly above the desired mean of 4.00 is satisfac- tory; if it is not, the process will need to be changed.

LCLR = D3R = 1.13621.5052 = .07 UCLR = D4R = 11.86421.5052 = .94 LCLx = x - A2R = 4.03 - 1.37321.5052 = 3.84 UCLx = x + A2R = 4.03 + 1.37321.5052 = 4.22

R = .505.x = 4.03

Sample Sample Range

Sample Average Sample

Sample Range

Sample Average

A .41 4.00 E .56 4.17 B .55 4.16 F .62 3.93 C .44 3.99 G .54 3.98 D .48 4.00 H .44 4.01

Is the machine properly adjusted and in control?

� SOLVED PROBLEM S6.3 Altman Distributors, Inc., fills catalog orders. Samples of size orders have been taken each day over the past six weeks. The average defect rate was .05. Determine the upper and lower limits for this process for 99.73% confidence.

� SOLUTION Using Equations (S6-9), (S6-10), and (S6-11),

(because percentage defective cannot be negative)= .05 - .0654 = 0

LCLp = p - 3A p11 - p2 n

= .05 - 310.02182

= .05 + 310.02182 = .1154

UCLp = p + 3A p11 - p2 n

= .05 + 3A 1.05211 - .052

100

z = 3, p = .05.

n = 100

� SOLVED PROBLEM S6.4 Ettlie Engineering has a new catalyst injection system for your countertop production line. Your process engineering department has conducted experiments and determined that the mean is 8.01 grams with a standard deviation of .03. Your specifications are:

and which means an upper specification limit of 8.12 and a lower specification limit of 7.88

What is the performance of the injection system?

� SOLUTION Using Equation (S6-14):

where

The minimum is 1.22, so the is within specifications and has an implied error rate of less than 2,700 defects per million.Cpk

B .11 .09

= 1.22 , .13

.09 = 1.44R Cpk = minimum of B8.12 - 8.01(3)(.03) , 8.01 - 7.88(3)(.03) R

s = standard deviation of the process population X = process mean

Cpk = Minimum of BUpper specification limit - X3s , X - Lower specification limit3s R Cpk

3= 8.0 - 31.0424. [= 8.0 + 31.0424s = .04,m = 8.0

Supplement 6 Statistical Process Control 199

Bibliography

Bakir, S. T. “A Quality Control Chart for Work Performance Appraisal.” Quality Engineering 17, no. 3 (2005): 429.

Besterfield, Dale H. Quality Control, 8th ed. Upper Saddle River, NJ: Prentice Hall, 2009.

Elg, M., J. Olsson, and J. J. Dahlgaard. “Implementing Statistical Process Control.” The International Journal of Quality and Reliability Management 25, no. 6 (2008): 545.

Goetsch, David L., and Stanley B. Davis. Quality Management, 5th ed. Upper Saddle River, NJ: Prentice Hall, 2006.

Gryna, F. M., R. C. H. Chua, and J. A. DeFeo. Juran’s Quality Planning and Analysis, 5th ed. New York: McGraw-Hill, 2007.

Lin, H., and G. Sheen. “Practical Implementation of the Capability Index Cpk Based on Control Chart Data.” Quality Engineering 17, no. 3 (2005): 371.

Matthes, N., et al. “Statistical Process Control for Hospitals.” Quality Management in Health Care 16, no. 3 (July–September 2007): 205.

Mitra, Amit. Fundamentals of Quality Control and Improvement, 3rd ed. New York: Wiley, 2008.

Montgomery, D. C. Introduction to Statistical Quality Control, 6th ed. New York: Wiley, 2008.

Roth, H. P. “How SPC Can Help Cut Costs.” Journal of Corporate Accounting and Finance 16, no. 3 (March–April 2005): 21–30.

Summers, Donna. Quality Management, 2nd ed. Upper Saddle River, NJ: Prentice Hall, 2009.

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Green River Chemical Company: Involves a company that needs to set up a control chart to monitor sulfate content because of customer complaints.

This page intentionally left blank

Process Strategy and Sustainability

Chapter Outline

GLOBAL COMPANY PROFILE: HARLEY-DAVIDSON

Four Process Strategies 204

Process Analysis and Design 211

Special Considerations for Service Process Design 214

Selection of Equipment and Technology 217

Production Technology 218

Technology in Services 221

Process Redesign 223

Sustainability 223

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

201

GLOBAL COMPANY PROFILE: HARLEY-DAVIDSON

REPETITIVE MANUFACTURING WORKS AT HARLEY-DAVIDSON

S ince Harley-Davidson’s founding in Milwaukee

in 1903, it has competed with hundreds of

manufacturers, foreign and domestic. The

competition has been tough. Recent

competitive battles have been with the Japanese,

and earlier battles were with the German, English,

and Italian manufacturers. But after over 100 years,

Harley is the only major U.S. motorcycle company.

The company now has five U.S. facilities and an

assembly plant in Brazil. The Sportster powertrain is

manufactured in Wauwatosa, Wisconsin, and the

sidecars, saddlebags, windshields, and other specialty

items are produced in Tomahawk, Wisconsin. The

families of Touring and Softail bikes are assembled in

York, Pennsylvania, while the Sportster models, Dyna

models, and VRSC models of motorcycles are produced

in Kansas City, Missouri.

As a part of management’s lean manufacturing

effort, Harley groups production of parts that require

similar processes together. The result is work cells.

Using the latest technology, work cells perform in

one location all the operations necessary for

production of a specific module. Raw materials

are moved to the work cells and then the modules

proceed to the assembly line. As a double check

on quality, Harley has also installed “light curtain”

technology which uses an infrared sensor to verify

the bin from which an operator is taking parts.

Materials go to the assembly line on a just-in-time

basis, or as Harley calls it, using a Materials as

Needed (MAN) system.

The 12.5-million-square-foot York facility includes

manufacturing cells that perform tube bending, frame-

building, machining, painting, and polishing. Innovative

Frame tube bending

Frame-building work cells

Frame machining

28 tests

THE ASSEMBLY LINE

TESTING Incoming parts

From Milwaukee on a JIT arrival schedule

Hot-paint frame painting

Roller testing

Oil tank work cell

Shocks and forks

Crating

Handlebars

Fender work cell

Air cleaners

Fluids and mufflers

Fuel tank work cell

Wheel work cell

Engines and transmissions

Flow Diagram Showing the Production Process at Harley-Davidson’s York, Pennsylvania, Assembly Plant

202

Wheel assembly modules are prepared in a work cell for JIT delivery to the assembly line.

For manufacturers like Harley-Davidson, which produces a large number of end products from a relatively small number of options, modular bills of material provide an effective solution.

It all comes together on the line. Any employee who spots a problem has the authority to stop the line until the problem in corrected. The multicolored “andon” light above the motorcycle on the frame of the carrier signals the severity of the problem.

motorcycles available which allows customers to

individualize their purchase. The Harley-Davidson

production system works because high-quality modules

are brought together on a tightly scheduled repetitive

production line.

manufacturing techniques use robots to load machines

and highly automated production to reduce machining

time. Automation and precision sensors play a key role

in maintaining tolerances and producing a quality

product. Each day the York facility produces up to 600

heavy-duty factory-custom motorcycles. Bikes are

assembled with different engine displacements,

multiple wheel options, colors, and accessories.

The result is a huge number of variations in the

HARLEY-DAVIDSON �

203

Engines, having arrived just-in-time from the Milwaukee engine plant in their own protective shipping containers, are placed on an overhead conveyor for movement to the assembly line.

204 PART 2 Designing Operations

LO1: Describe four production processes 204

LO2: Compute crossover points for different processes 210

LO3: Use the tools of process analysis 211

LO4: Describe customer interaction in process design 215

Chapter 7 Learning Objectives

LO5: Identify recent advances in production technology 218

LO6: Discuss the four R’s of sustainability 223

FOUR PROCESS STRATEGIES In Chapter 5, we examined the need for the selection, definition, and design of goods and services. Our purpose was to create environmentally-friendly designs that could be delivered in an ethical, sustainable manner. We now turn to their production. A major decision for an operations manager is finding the best way to produce so as not to waste our planet’s resources. Let’s look at ways to help managers design a process for achieving this goal.

A process (or transformation) strategy is an organization’s approach to transforming resources into goods and services. The objective of a process strategy is to build a production process that meets customer requirements and product specifications within cost and other man- agerial constraints. The process selected will have a long-term effect on efficiency and flexibil- ity of production, as well as on cost and quality of the goods produced. Therefore, the limitations of a firm’s operations strategy are determined at the time of the process decision.

Virtually every good or service is made by using some variation of one of four process strate- gies: (1) process focus, (2) repetitive focus, (3) product focus, and (4) mass customization. The relationship of these four strategies to volume and variety is shown in Figure 7.1. We examine Arnold Palmer Hospital as an example of a process-focused firm, Harley-Davidson as a repeti- tive producer, Frito-Lay as a product-focused operation, and Dell as a mass customizer.

Process Focus The vast majority of global production is devoted to making low-volume, high-variety products in places called “job shops.” Such facilities are organized around specific activities or processes. In a factory, these processes might be departments devoted to welding, grinding, and painting. In an office, the processes might be accounts payable, sales, and payroll. In a restaurant, they might be bar, grill, and bakery. Such facilities are process focused in terms of equipment, layout, and supervision. They provide a high degree of product flexibility as products move between processes. Each process is designed to perform a wide variety of activities and handle frequent changes. Consequently, they are also called intermittent processes.

Process strategy An organization’s approach to transforming resources into goods and services.

AUTHOR COMMENT Production processes

provide an excellent way to think about how we organize to produce goods and services.

V a ri

e ty

( fle

xi b ili

ty )

Changes in Modules modest runs, standardized modules

Repetitive Process

Volume

Changes in Attributes (such as grade, quality, size, thickness, etc.) long runs only

Low Volume

High Variety one or few units per run (allows customization)

High Volume

Process Focus projects, job shops

(machine, print, hospitals,restaurants)

Arnold Palmer Hospital

Repetitive (autos, motorcycles, home appliances)

Harley-Davidson

Poor Strategy (Both fixed and variable costs

are high.)

Product Focus (commercial baked goods,

steel, glass, beer) Frito-Lay

Mass Customization (difficult to achieve, but huge rewards)

Dell Computer

� FIGURE 7.1 Process Selected Must Fit with Volume and Variety

Process focus A production facility organized around processes to facilitate low-volume, high-variety production.

LO1: Describe four production processes

Chapter 7 Process Strategy and Sustainability 205

Many inputs

Process Focus (low-volume, high-variety,

intermittent process) Arnold Palmer Hospital

Many different outputs (uniquely treated patients)

Many departments and many routings

Many departments and many routings

Raw material and module inputs

Repetitive Focus (modular)

Harley-Davidson

Modules combined for many outputs

(many combinations of motorcycles)

Few modules

Many part and component inputs

Mass Customization (high-volume, high-variety)

Dell Computer

Many output versions (custom PCs and notebooks)

Many modules

Few inputs

(surgeries, sick patients, baby deliveries, emergencies)

(multiple engines and wheel modules)

(chips, hard drives, software, cases)

(corn, potatoes, water, seasoning)

Product Focus (high-volume, low-variety,

continuous process) Frito-Lay

(a) (b) (d)(c)

Output variations in size, shape, and packaging

(3-oz, 5-oz, 24-oz packages labeled for each market)

� FIGURE 7.2 Process Options

Referring to Figure 7.2(a), imagine a diverse group of patients entering Arnold Palmer Hospital, a process-focused facility, to be routed to specialized departments, treated in a distinct way, and then exiting as uniquely cared for individuals.

Process-focused facilities have high variable costs with extremely low utilization of facili- ties, as low as 5%. This is the case for many restaurants, hospitals, and machine shops. However, some facilities that lend themselves to electronic controls do somewhat better. With computer-controlled machines, it is possible to program machine tools, piece movement, tool changing, placement of the parts on the machine, and even the movement of materials between machines.

Repetitive Focus A repetitive process falls between the product and process focuses seen in Figures 7.1 and 7.2(b). Repetitive processes, as we saw in the Global Company Profile on Harley-Davidson, use modules. Modules are parts or components previously prepared, often in a continuous process.

The repetitive process is the classic assembly line. Widely used in the assembly of virtually all automobiles and household appliances, it has more structure and consequently less flexibility than a process-focused facility.

Fast-food firms are another example of a repetitive process using modules. This type of production allows more customizing than a product-focused facility; modules (for example, meat, cheese, sauce, tomatoes, onions) are assembled to get a quasi-custom product, a cheese- burger. In this manner, the firm obtains both the economic advantages of the continuous model

Repetitive process A product-oriented production process that uses modules.

Modules Parts or components of a product previously prepared, often in a continuous process.

AUTHOR COMMENT Here we show 4 process options, with an example

of each.

206 PART 2 Designing Operations

Product focus A facility organized around products; a product-oriented, high-volume, low-variety process.

(where many of the modules are prepared) and the custom advantage of the low-volume, high- variety model.

Product Focus High-volume, low-variety processes are product focused. The facilities are organized around products. They are also called continuous processes, because they have very long, continuous production runs. Products such as glass, paper, tin sheets, lightbulbs, beer, and potato chips are made via a continuous process. Some products, such as lightbulbs, are discrete; others, such as rolls of paper, are nondiscrete. Still others, such as repaired hernias at Shouldice Hospital, are services. It is only with standardization and effective quality control that firms have estab- lished product-focused facilities. An organization producing the same lightbulb or hot dog bun day after day can organize around a product. Such an organization has an inherent ability to set standards and maintain a given quality, as opposed to an organization that is producing unique products every day, such as a print shop or general-purpose hospital. For example, Frito-Lay’s family of products is also produced in a product-focused facility (see Figure 7.2[c]). At Frito- Lay, corn, potatoes, water, and seasoning are the relatively few inputs, but outputs (like Cheetos, Ruffles, Tostitos, and Fritos) vary in seasoning and packaging within the product family.

A product-focused facility produces high volume and low variety. The specialized nature of the facility requires high fixed cost, but low variable costs reward high facility utilization.

Mass Customization Focus Our increasingly wealthy and sophisticated world demands individualized goods and services. A peek at the rich variety of goods and services that operations managers are called on to supply is shown in Table 7.1. The explosion of variety has taken place in automobiles, movies, breakfast cereals, and thousands of other areas. In spite of this proliferation of products, operations man- agers have improved product quality while reducing costs. Consequently, the variety of products continues to grow. Operations managers use mass customization to produce this vast array of goods and services. Mass customization is the rapid, low-cost production of goods and services that fulfill increasingly unique customer desires. But mass customization (see the upper-right section of Figure 7.1) is not just about variety; it is about making precisely what the customer wants when the customer wants it economically.

Mass customization brings us the variety of products traditionally provided by low-volume manufacture (a process focus) at the cost of standardized high-volume (product-focused) produc- tion. However, achieving mass customization is a challenge that requires sophisticated opera- tional capabilities. Building agile processes that rapidly and inexpensively produce custom products requires imaginative and aggressive use of organizational resources. And the link between sales, design, production, supply chain, and logistics must be tight.

Mass customization Rapid, low-cost production that caters to constantly changing unique customer desires.

Number of Choicesa

Item 1970s 21st Century

Vehicle models 140 286 Vehicle styles 18 1,212 Bicycle types 8 211,000c

Software titles 0 400,000 Web sites 0 162,000,000d

Movie releases per year 267 765e

New book titles 40,530 300,000+ Houston TV channels 5 185 Breakfast cereals 160 340 Items (SKUs) in supermarkets 14,000b 150,000f

LCD TVs 0 102 aVariety available in America; worldwide the variety increases even more. b1989. cPossible combinations for one manufacturer. dRoyal Pingdom Estimate (2008). ewww.movieweb.com (2009). fSKUs managed by H. E. Butts grocery chain.

� TABLE 7.1 Mass Customization Provides More Choices Than Ever

Source: Various; however, many of the data are from the Federal Reserve Bank of Dallas.

Chapter 7 Process Strategy and Sustainability 207

Dell Computer (see Figure 7.2[d]) has demonstrated that the payoff for mass customization can be substantial. More traditional manufacturers include Toyota, which recently announced delivery of custom-ordered cars in 5 days. Similarly, electronic controls allow designers in the textile industry to rapidly revamp their lines and respond to changes.

The service industry is also moving toward mass customization. For instance, not very many years ago, most people had the same telephone service. Now, not only is the phone service full of options, from caller ID to voice mail, but contemporary phones are hardly phones. They may also be part camera, computer, game player, GPS, and Web browser. Insurance companies are adding and tailoring new products with shortened development times to meet the unique needs of their customers. And firms like iTunes, Napster, and emusic maintain a music inventory on the Internet that allow customers to select a dozen songs of their choosing and have them made into a custom CD. Similarly, the number of new books and movies increases each year. Mass customization places new demands on operations managers who must build the processes that provide this expanding variety of goods and services.

One of the essential ingredients in mass customization is a reliance on modular design. In all the examples cited, as well as those in the OM in Action box “Mass Customization at Borders Books and at Smooth FM Radio,” modular design is the key. However, as Figure 7.3 shows, very effective scheduling, personnel and facility flexibility, supportive supply chains, and rapid throughput are also required. These items influence all 10 of the OM decisions and therefore require excellent operations management.

Making Mass Customization Work Mass customization suggests a high-volume system in which products are built-to-order.1 Build-to-order (BTO) means producing to customer orders, not forecasts. Build-to-order can be a successful order-winning strategy when executed successfully. But high-volume build-to-order is difficult. Some major challenges are:

• Product design must be imaginative and fast. Successful build-to-order designs often use mod- ules. Ping Inc., the premier golf club manufacturer, uses different combinations of club heads, grips, shafts, and angles to make 20,000 variations of its golf clubs.

• Process design must be flexible and able to accommodate changes in both design and tech- nology. For instance, postponement allows for customization late in the production process. Toyota installs unique interior modules very late in production for its popular Scion, a process also typical with customized vans. Postponement is further discussed in Chapter 11.

1Build-to-order (BTO) may be referred to and refined as engineer-to-order (ETO) and design-to-order (DTO), depending on the extent of the customization.

So you want a hard-to-get, high-quality paperback book in 15 minutes? Borders can take care of you—even if you want a book that the store does not carry or have in stock. First, a Borders employee checks the digital database of titles that have been licensed from publishers. If the title is available, a digital file of the book is downloaded to two printers from a central server in Atlanta. One printer makes the book cover and the other the pages. Then the employee puts the two pieces together in a bookbinding machine. A separate machine cuts the book to size. And your book is ready. You get the book you want now, and Borders gets a sale. Books sold this way also avoid both inventory and incoming shipping cost, as well as the cost of returning books that do not sell.

Smooth FM provides a “customized” radio broadcast for Houston, Boston, Milwaukee, Albany, and Jacksonville from its midtown Manhattan station. Here is how it works.

During Smooth FM’s 40-minute music blocks, an announcer in Manhattan busily records 30-second blocks of local weather and traffic, commercials, promotions, and 5-second station IDs. Then the recorded material is transmitted to the affiliate stations. When the music block is over, the Manhattan announcer hits a button that signals computers at all the affiliates to simultaneously air the prerecorded “local” segments. Any “national” news or “national” ads can also be added from Manhattan. The result is the economy of mass production and a customized product for the local market. Radio people call it “local customization.”

Sources: Hoover’s Company Records (March 15, 2009): 101773; The New York Times (February 16, 2004): C3; The Wall Street Journal (June 1, 1999): B1, B4.

OM in Action �Mass Customization at Borders Books and at Smooth FM Radio

Postponement The delay of any modifications or customization to a product as long as possible in the production process.

Build-to-order (BTO) Produce to customer order rather than to a forecast.

208 PART 2 Designing Operations

• Inventory management requires tight control. To be successful with build-to-order, a firm must avoid being stuck with unpopular or obsolete components. With virtually no raw material, Dell puts custom computers together in less than a day.

• Tight schedules that track orders and material from design through delivery are another requirement of mass customization. Align Technology, a well-known name in orthodontics, figured out how to achieve competitive advantage by delivering custom-made clear plastic aligners within three weeks of your first visit to the dentist’s office.

• Responsive partners in the supply chain can yield effective collaboration. Forecasting, inven- tory management, and ordering for JCPenney shirts are all handled for the retailer by its sup- plier in Hong Kong.

Mass customization/build-to-order is difficult, but is the new imperative for operations. There are advantages to mass customization and building to order: first, by meeting the demands of the market place, firms win orders and stay in business; in addition, they trim costs (from personnel to inventory to facilities) that exist because of inaccurate sales forecasting. Mass customization and build-to- order can be done—and operations managers in leading organizations are accepting the challenge.

Comparison of Process Choices The characteristics of the four processes are shown in Table 7.2 and Figure 7.2 (on page 205). Advantages exist across the continuum of processes, and firms may find strategic advantage in any process. Each of the processes, when properly matched to volume and variety, can produce a low- cost advantage. For instance, unit costs will be less in the continuous-process case when high vol- ume (and high utilization) exists. However, we do not always use the continuous-process (that is, specialized equipment and facilities) because it is too expensive when volumes are low or flexibil- ity is required. A low-volume, unique, highly differentiated good or service is more economical when produced under process focus; this is the way fine-dining restaurants and general-purpose hospitals are organized. Just as all four processes, when appropriately selected and well managed, can yield low cost, so too can all four be responsive and produce differentiated products.

Figure 7.3 indicated that equipment utilization in a process-focused facility is often in the range of 5% to 25%. When utilization goes above 15%, moving toward a repetitive or product focus, or even mass customization, may be advantageous. A cost advantage usually exists by improving utilization, provided the necessary flexibility is maintained. McDonald’s started an entirely new industry by moving its limited menu from process focus to repetitive focus. McDonald’s is now trying to add more variety and move toward mass customization.

Much of what is produced in the world is still produced in very small lots—often as small as one. This is true for most legal services, medical services, dental services, and restaurants. An X-ray machine in a dentist’s office and much of the equipment in a fine-dining restaurant have low utilization. Hospitals, too, have low utilization, which suggests why their costs are consid- ered high. Why such low utilization? In part because excess capacity for peak loads is desirable. Hospital administrators, as well as managers of other service facilities and their patients and cus- tomers, expect equipment to be available as needed. Another reason is poor scheduling (although

Repetitive Focus Flexible people and equipment

Process Focused High variety, low volume

Low utilization (5% to 25%) General-purpose equipment

Product Focused Low variety, high volume

High utilization (70% to 90%) Specialized equipment

Modular techniques

Responsive supply chains

Accommodating product and process

design

Rapid throughput techniques

Effective scheduling techniques

Mass Customization

� FIGURE 7.3 Requirements to Achieve Mass Customization

AUTHOR COMMENT OM must align a variety of

factors to make mass customization work.

Chapter 7 Process Strategy and Sustainability 209

substantial efforts have been made to forecast demand in the service industry) and the resulting imbalance in the use of facilities.

Crossover Charts The comparison of processes can be further enhanced by looking at the point where the total cost of the processes changes. For instance, Figure 7.4 shows three alterna- tive processes compared on a single chart. Such a chart is sometimes called a crossover chart. Process A has the lowest cost for volumes below process B has the lowest cost between and and process C has the lowest cost at volumes above

Example 1 illustrates how to determine the exact volume where one process becomes more expensive than another.

V2.V2, V1V1,

� TABLE 7.2 Comparison of the Characteristics of Four Types of Processes

Process Focus (low volume, high variety)

(e.g., Arnold Palmer Hospital)

Repetitive Focus (modular)

(e.g., Harley-Davidson)

Product Focus (high volume, low variety)

(e.g., Frito-Lay)

Mass Customization (high volume, high variety)

(e.g., Dell Computer)

1. Small quantity and large variety of products are produced.

1. Long runs, usually a standardized product with options, are produced from modules.

1. Large quantity and small variety of products are produced.

1. Large quantity and large variety of products are produced.

2. Equipment used is general purpose.

2. Special equipment aids in use of an assembly line.

2. Equipment used is special purpose.

2. Rapid changeover on flexible equipment.

3. Operators are broadly skilled.

3. Employees are modestly trained.

3. Operators are less broadly skilled.

3. Flexible operators are trained for the necessary customization.

4. There are many job instructions because each job changes.

4. Repetitive operations reduce training and changes in job instructions.

4. Work orders and job instructions are few because they are standardized.

4. Custom orders require many job instructions.

5. Raw-material inventories are high relative to the value of the product.

5. Just-in-time procurement techniques are used.

5. Raw material inventories are low relative to the value of the product.

5. Raw material inventories are low relative to the value of the product.

6. Work-in-process is high compared to output.

6. Just-in-time inventory techniques are used.

6. Work-in-process inventory is low compared to output.

6. Work-in-process inventory is driven down by JIT, kanban, lean production.

7. Units move slowly through the facility.

7. Assembly is measured in hours and days.

7. Swift movement of units through the facility is typical.

7. Goods move swiftly through the facility.

8. Finished goods are usually made to order and not stored.

8. Finished goods are made to frequent forecasts.

8. Finished goods are usually made to a forecast and stored.

8. Finished goods are often build-to-order (BTO).

9. Scheduling is complex and concerned with the trade-off between inventory availability, capacity, and customer service.

9. Scheduling is based on building various models from a variety of modules to forecasts.

9. Scheduling is relatively simple and concerned with establishing a rate of output sufficient to meet sales forecasts.

9. Sophisticated scheduling is required to accommodate custom orders.

10. Fixed costs tend to be low and variable costs high.

10. Fixed costs are dependent on flexibility of the facility.

10. Fixed costs tend to be high and variable costs low.

10. Fixed costs tend to be high, but variable costs must be low.

Kleber Enterprises would like to evaluate three accounting software products (A, B, and C) to support changes in its internal accounting processes. The resulting processes will have cost structures similar to those shown in Figure 7.4. The costs of the software for these processes are:

� EXAMPLE 1 Crossover chart

Total Dollars Required Fixed Cost per Accounting Report

Software A $200,000 $60 Software B $300,000 $25 Software C $400,000 $10

Crossover chart A chart of costs at the possible volumes for more than one process.

210 PART 2 Designing Operations

APPROACH � Solve for the crossover point for software A and B and then the crossover point for software B and C.

SOLUTION � Software A yields a process that is most economical up to but to exactly what number of reports (volume)? To determine the volume at we set the cost of software A equal to the cost of software B. is the unknown volume:

This means that software A is most economical from 0 reports to 2,857 reports ( ). Similarly, to determine the crossover point for we set the cost of software B equal to the cost of

software C:

This means that software B is most economical if the number of reports is between 2,857 ( ) and 6,666 ( ) and that software C is most economical if reports exceed 6,666 ( ).

INSIGHT � As you can see, the software and related process chosen is highly dependent on the forecasted volume.

LEARNING EXERCISE � If the vendor of software A reduces the fixed cost to $150,000, what is the new crossover point between A and B? [Answer: 4,286.]

RELATED PROBLEMS � 7.5, 7.6, 7.7, 7.8, 7.9, 7.10, 7.11, 7.12, 7.14

EXCEL OM Data File Ch07Ex1.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 7.1 This example is further illustrated in Active Model 7.1 at www.pearsonhighered.com/heizer.

V2V2

V1

V2 = 6,666

15V2 = 100,000

300,000 + 1252V2 = 400,000 + 1102V2

V2, V1

V1 = 2,857

35V1 = 100,000

200,000 + 1602V1 = 300,000 + 1252V1

V1

V1, V1,

To ta

l p ro

ce ss

A c

os ts

To tal

pr oc

es s B

co sts

Tota l pro

cess C c

osts

Fixed costs

$

$

Low volume, high variety Process A

Variable costs

Fixed costs

$

Repetitive Process B

Variable costs

Fixed costs $

High volume, low variety Process C

Volume

400,000

300,000

200,000

(2,857) (6,666) V2V1

Variable costs

Fixed cost

Process A

Fixed cost

Process B

Fixed cost

Process C

� FIGURE 7.4 Crossover Charts

AUTHOR COMMENT Different processes can be expected to have different

costs. However, at any given volume, only one will have

the lowest cost.

LO2: Compute crossover points for different processes

Chapter 7 Process Strategy and Sustainability 211

Focused Processes In an ongoing quest for efficiency, industrialized societies continue to move toward specialization. The focus that comes with specialization contributes to efficiency. Managers who focus on a limited number of activities, products, and technologies do better. As the variety of products in a facility increase, overhead costs increase even faster. Similarly, as the variety of prod- ucts, customers, and technology increases, so does complexity. The resources necessary to cope with the complexity expand disproportionately. A focus on depth of product line as opposed to breadth is typical of outstanding firms, of which Intel, Motorola, L.M. Ericsson, Nokia, and Bosch are world-class examples. Specialization, simplification, concentration, and focus yield efficiency. They also contribute to building a core competence that yields market and financial success. The focus can be:

• Customers (such as Winterhalter Gastronom, a German company that focuses on dishwashers for hotels and restaurants, for whom spotless glasses and dishes are critical)

• Products with similar attributes (such as Nucor Steel’s Crawford, Ohio, plant, which processes only high-quality sheet steels, and Gallagher, a New Zealand company, which has 45% of the world market in electric fences)

• Service (such as Orlando’s Arnold Palmer Hospital, with a focus on children and women; or Shouldice Hospital, in Canada, with a focus on hernia repair).

• Technology (such as Texas Instruments, with a focus on only certain specialized kinds of semi- conductors; and SAP, which in spite of a world of opportunities, remains focused on software).

The key for the operations manager is to move continuously toward specialization, focusing on the products, technology, customers, processes, and talents necessary to excel in that specialty.

Changing Processes Changing the production system from one process model to another is difficult and expensive. In some cases, the change may mean starting over. Consider what would be required of a rather simple change—McDonald’s adding the flexibility necessary to serve you a charbroiled hamburger. What appears to be rather straightforward would require changes in many of our 10 OM decisions. For instance, changes may be necessary in (1) purchasing (a dif- ferent quality of meat, perhaps with more fat content, and supplies such as charcoal); (2) quality standards (how long and at what temperature the patty will cook); (3) equipment (the char- broiler); (4) layout (space for the new process and for new exhaust vents); and (5) training. So choosing where to operate on the process strategy continuum may determine the transformation strategy for an extended period. This critical decision must be done right the first time.

PROCESS ANALYSIS AND DESIGN When analyzing and designing processes, we ask questions such as the following:

• Is the process designed to achieve competitive advantage in terms of differentiation, response, or low cost?

• Does the process eliminate steps that do not add value? • Does the process maximize customer value as perceived by the customer? • Will the process win orders?

A number of tools help us understand the complexities of process design and redesign. They are sim- ply ways of making sense of what happens or must happen in a process. Let’s look at five of them: flowcharts, time-function mapping, value-stream mapping, process charts, and service blueprinting.

Flowchart The first tool is the flowchart, which is a schematic or drawing of the movement of material, prod- uct, or people. For instance, the flowchart in the Global Company Profile for this chapter shows the assembly processes for Harley-Davidson. Such charts can help understanding, analysis, and com- munication of a process.

Time-Function Mapping A second tool for process analysis and design is a flowchart, but with time added on the horizon- tal axis. Such charts are sometimes called time-function mapping, or process mapping. With time-function mapping, nodes indicate the activities and the arrows indicate the flow direction, with time on the horizontal axis. This type of analysis allows users to identify and eliminate

VIDEO 7.1 Process Strategy at Wheeled

Coach Ambulance

Flowchart A drawing used to analyze movement of people or material.

AUTHOR COMMENT Here we look at 5 tools that help understand

processes.

LO3: Use the tools of process analysis

Time-function mapping (or process mapping) A flowchart with time added on the horizontal axis.

212 PART 2 Designing Operations

waste such as extra steps, duplication, and delay. Figure 7.5 shows the use of process mapping before and after process improvement at American National Can Company. In this example, sub- stantial reduction in waiting time and process improvement in order processing contributed to a savings of 46 days.

Value-Stream Mapping A variation of time-function mapping is value-stream mapping (VSM); however, value-stream mapping takes an expanded look at where value is added (and not added) in the entire production process, including the supply chain. As with time-function mapping, the idea is to start with the customer and understand the production process, but value-stream mapping extends the analysis back to suppliers.

Value-stream mapping (VSM) A process that helps managers understand how to add value in the flow of material and information through the entire production process.

EXAMPLE 2 � Value-stream mapping

Motorola has received an order for 11,000 cell phones per month and wants to understand how the order will be processed through manufacturing.

APPROACH � To fully understand the process from customer to supplier, Motorola prepares a value-stream map.

SOLUTION � Although value-stream maps appear complex, their construction is easy. Here are the steps needed to complete the value-stream map shown in Figure 7.6.

1. Begin with symbols for customer, supplier, and production to ensure the big picture. 2. Enter customer order requirements. 3. Calculate the daily production requirements. 4. Enter the outbound shipping requirements and delivery frequency. 5. Determine inbound shipping method and delivery frequency. 6. Add the process steps (i.e., machine, assemble) in sequence, left to right. 7. Add communication methods, add their frequency, and show the direction with arrows. 8. Add inventory quantities (shown with ) between every step of the entire flow. 9. Determine total working time (value-added time) and delay (non-value-added time).

“Baseline” Time-Function Map “Target” Time-Function Map

12 days 13 days

52 days

1 day 4 days 1 day 10 days 1 day 9 days 1 day

Customer

Sales

Production control

Plant A

Warehouse

Plant B

Transport

Order product

Receive product

Process order

Print

Wait

Wait Wait Wait

Move Move

Extrude

O rd

e r

O rd

e r

W IP

W IP

W IP

W IP

P ro

d u ct

P ro

d u ct

P ro

d u ct

1 day

6 days

2 days 1 day 1 day 1 day

Customer

Sales

Production control

Plant

Warehouse

Transport

Order product

Receive product

Process order

Print

Wait

Wait

Move

Extrude

O rd

e r

O rd

e r

WIP

P ro

d u ct

P ro

d u ct

P ro

d u ct

(a) (b)

� FIGURE 7.5 Time-Function Mapping (Process Mapping) for a Product Requiring Printing and Extruding Operations at American National Can Company This technique clearly shows that waiting and order processing contributed substantially to the 46 days that can be eliminated in this operation.

Source: Excerpted from Elaine J. Labach, “Faster, Better, and Cheaper,” Target no. 5: 43 with permission of the Association for Manufacturing Excellence, 380 West Palatine Road, Wheeling, IL 60090-5863, 847/520-3282. www.ame.org. Reprinted with permission of Target Magazine.

Chapter 7 Process Strategy and Sustainability 213

Manufacturing Management

Production Supervisor

500 needed each day

Weekly Orders 2,500

Weekly Orders 2,500

Monthly Forecast = 11,000 Monthly Forecast

Weekly

Daily Communication

1 operator

Machine

1 operator

Ship 500

Package

1 operator

Test

2 operators

Assemble

1 operator

45 seconds 20 seconds 4 days4 days4 days6 days3 days5 days

20 seconds15 seconds

Non-value-added time = 26 days Value-added time = 140 seconds

40 seconds

Component Mounting

Supplier Customer

1,500 2,500 2,000 2,000

2,0002,500

Weekly Daily

� FIGURE 7.6 Value-Stream Mapping (VSM)

INSIGHT � From Figure 7.6 we note that large inventories exist in incoming raw material and between processing steps, and that the value-added time is low as a proportion of the entire process.

LEARNING EXERCISE � How might raw material inventory be reduced? [Answer: Have deliveries twice per week rather than once per week.]

RELATED PROBLEM � 7.13

Value-stream mapping takes into account not only the process but, as shown in Example 2, also the management decisions and information systems that support the process.

Process Charts The fourth tool is the process chart. Process charts use symbols, time, and distance to provide an objective and structured way to analyze and record the activities that make up a process.2 They allow us to focus on value-added activities. For instance, the process chart shown in Figure 7.7, which includes the present method of hamburger assembly at a fast-food restaurant, includes a value-added line to help us distinguish between value-added activities and waste. Identifying all value-added operations (as opposed to inspection, storage, delay, and transportation, which add no value) allows us to determine the percent of value added to total activities.3 We can see from the computation at the bottom of Figure 7.7 that the value added in this case is 85.7%. The

2An additional example of a process chart is shown in Chapter 10. 3Waste includes inspection (if the task is done properly, then inspection is unnecessary); transportation (movement of material within a process may be a necessary evil, but it adds no value); delay (an asset sitting idle and taking up space is waste); storage (unless part of a “curing” process, storage is waste).

Process charts Charts that use symbols to analyze the movement of people or material.

214 PART 2 Designing Operations

operations manager’s job is to reduce waste and increase the percent of value added. The non- value-added items are a waste; they are resources lost to the firm and to society forever.

Service Blueprinting Products with a high service content may warrant use of yet a fifth process technique. Service blueprinting is a process analysis technique that focuses on the customer and the provider’s inter- action with the customer. For instance, the activities at level one of Figure 7.8 are under the con- trol of the customer. In the second level are activities of the service provider interacting with the customer. The third level includes those activities that are performed away from, and not immedi- ately visible to, the customer. Each level suggests different management issues. For instance, the top level may suggest educating the customer or modifying expectations, whereas the second level may require a focus on personnel selection and training. Finally, the third level lends itself to more typical process innovations. The service blueprint shown in Figure 7.8 also notes potential failure points and shows how poka-yoke techniques can be added to improve quality. The consequences of these failure points can be greatly reduced if identified at the design stage when modifications or appropriate poka-yokes can be included. A time dimension is included in Figure 7.8 to aid understanding, extend insight, and provide a focus on customer service.

Each of these five process analysis tools has its strengths and variations. Flowcharts are a quick way to view the big picture and try to make sense of the entire system. Time-function map- ping adds some rigor and a time element to the macro analysis. Value-stream mapping extends beyond the immediate organization to customers and suppliers. Process charts are designed to provide a much more detailed view of the process, adding items such as value-added time, delay, distance, storage, and so forth. Service blueprinting, on the other hand, is designed to help us focus on the customer interaction part of the process. Because customer interaction is often an important variable in process design, we now examine some additional aspects of service process design.

SPECIAL CONSIDERATIONS FOR SERVICE PROCESS DESIGN Interaction with the customer often affects process performance adversely. But a service, by its very nature, implies that some interaction and customization is needed. Recognizing that the customer’s unique desires tend to play havoc with a process, the more the manager designs the process to accommodate these special requirements, the more effective and effi- cient the process will be. Notice how well Align Technology has managed the interface

Present Method Proposed Method

SUBJECT CHARTED

DEPARTMENT CHART BY

DIST. IN

FEET

TIME IN

MINS.

CHART SYMBOLS

DATE

SHEET NO. OF

PROCESS CHART

PROCESS DESCRIPTION

TOTALS Value-added time = Operation time/Total time = (2.50+.20)/3.15 = 85.7%

= operation; = transportation; = inspection; = delay; = storage.

X Hamburger Assembly Process

1.5

1.0

.5

.5

3.5 3.15

.05

.20 .10 .15 .05 .05

2.50 .05

2 4 1 – 2

Meat Patty in Storage

Assemble Order Obtain Buns, Lettuce, etc.

Place in Finish Rack

Transfer to Broiler Broiler Visual Inspection Transfer to Rack Temporary Storage

8 / 1 / 10 1KH 1

� FIGURE 7.7 Process Chart Showing a Hamburger Assembly Process at a Fast-Food Restaurant

Service blueprinting A process analysis technique that lends itself to a focus on the customer and the provider’s interaction with the customer.

AUTHOR COMMENT Customer interaction with

service processes increases the design challenge.

Chapter 7 Process Strategy and Sustainability 215

Level #1 Customer is in control.

Level #2 Customer may interact with service provider.

Level #3 Service is removed from customer’s control and interaction.

Customer arrives for service.

(3 min)

Customer departs.

Customer pays bill. (4 min)

Warm greeting and obtain

service request. (10 sec)

Determine specifics. (5 min)

Direct customer to waiting room.

Perform required work.

(varies)

Prepare invoice. (3 min)

Standard request. (3 min)

Can service be

done and does customer approve? (5 min)

No

No

F

FF

F

YesYes

Poka-yoke: Bell in driveway in case customer arrival was unnoticed. Poka-yoke: If customer remains in the work area, offer coffee and reading material in waiting room.

Personal Greeting

Poka-yoke: Conduct dialog with customer to identify customer expectation and assure customer acceptance.

Service Diagnosis

Poka-yoke: Review checklist for compliance. Poka-yoke: Service personnel review invoice for accuracy.

Perform Service

Poka-yoke: Customer approves invoice.

Poka-yoke: Customer inspects car.

Friendly Close

Notify customer that car is ready. (3 min)

Notify customer

and recommend an alternative

provider. (7 min)

F

F

F

F

F

Poka-yokes to address potential failure points

� FIGURE 7.8 Service Blueprint for Service at Speedy Lube, Inc.

AUTHOR COMMENT Service blueprinting helps

us focus on the impact of customer interaction

with the process.

between the customer and the process by using the Internet (see the OM in Action box “Mass Customization for Straight Teeth”). The trick is to find the right combination of cost and cus- tomer interaction.

Customer Interaction and Process Design The four quadrants of Figure 7.9 provide additional insight on how operations managers design service processes to find the best level of specialization and focus while maintaining the neces- sary customer interaction and customization. The 10 operations decisions we introduced in Chapters 1 and 2 are used with a different emphasis in each quadrant. For instance:

• In the upper sections (quadrants) of mass service and professional service, where labor con- tent is high, we expect the manager to focus extensively on human resources. This is often done with personalized services, requiring high labor involvement and therefore significant selection and training issues in the human resources area. This is particularly true in the pro- fessional service quadrant.

LO4: Describe customer interaction in process design

• The quadrants with low customization tend to (1) standardize or restrict some offerings, as do fast-food restaurants, (2) automate, as have airlines with ticket-vending machines, or (3) remove some services, such as seat assignments, as has Southwest Airlines. Offloading some aspect of the service through automation may require innovations in process design as well as capital investment. Such is the case with airline ticket vending and bank ATMs. This move to standard- ization and automation may require added capital expenditure, as well as putting operations managers under pressure to develop new skills for the purchase and maintenance of such equip- ment. A reduction in a customization capability will require added strength in other areas.

• Because customer feedback is lower in the quadrants with low customization, tight control may be required to maintain quality standards.

• Operations with low labor intensity may lend themselves particularly well to innovations in process technology and scheduling.

Table 7.3 shows some additional techniques for innovative process design in services. Managers focus on designing innovative processes that enhance the service. For instance, super- market self-service reduces cost while it allows customers to check for the specific features they

216 PART 2 Designing Operations

Low High

Low D

e g re

e o

f L a b o r

High

Professional ServiceMass Service

Service ShopService Factory

Commercial banking

Limited-service stockbroker

Private banking

Specialized hospitals

Digitized orthodontics

Fast-food restaurants

No-frills airlines

Fine-dining restaurants

Traditional orthodontics

Airlines

Hospitals

General- purpose law firms

Retailing

Full-service stockbroker

Boutiques

Degree of Customization

Warehouse and catalog stores

Law clinics

� FIGURE 7.9 Services Moving toward Specialization and Focus within the Service Process Matrix

Source: Adapted from work by Roger Schmenner, “Service Business and Productivity,” Decision Sciences 35, no. 3 (Summer 2004): 333–347.

AUTHOR COMMENT Notice how services find a competitive opportunity by moving from the rectangles

to the ovals.

Align Technology of Santa Clara, California, wants to straighten your teeth with a clear plastic removable aligner. The company is a mass customizer for orthodontic treatments. Each patient is very custom, requiring a truly unique product; no two patients are alike. Based on dental impressions, X-rays, and photos taken at the dentist’s office and sent to Align headquarters, the firm builds a precise 3-D computer model and file of the patient’s mouth. This digitized file is then sent to Costa Rica, where technicians develop a comprehensive treatment plan, which is then returned to the dentist for approval. After approval, data from the 3-D virtual models and treatment plan are used to program stereolithography equipment (see photo on page 137 in Chapter 5) to form molds. The molds are then shipped to Juarez, Mexico, where a series of customized teeth aligners—usually about 19 pairs—are

made. The time required for this process: about 3 weeks from start to finish. The clear aligners take the place of the traditional “wire and brackets.” Align calls the product “complex to make, easy to use.” With good OM, mass customization works, even for a very complex, very individualized product, such as teeth aligners.

Sources: Laura Rock Kopezak and M. Eric Johnson, “Aligning the Supply Chain,” Case #6-0024, Dartmouth College, 2006; and www.invisalign.com Annual Report, 2007.

OM in Action � Mass Customization for Straight Teeth

Chapter 7 Process Strategy and Sustainability 217

want, such as freshness or color. Dell Computer provides another version of self-service by allowing customers to design their own product on the Web. Customers seem to like this, and it is cheaper and faster for Dell.

More Opportunities to Improve Service Processes Layout Layout design is an integral part of many service processes, particularly in retailing, dining, and banking. In retailing, layout can provide not only product exposure but also customer education and product enhancement. In restaurants, layout can enhance the dining experience as well as provide an effective flow between bar, kitchen, and dining area. In banks, layout provides security as well as work flow and personal comfort. Because layout is such an integral part of many services, it provides continuing opportunity for winning orders.

Human Resources Because so many services involve direct interaction with the customer (as the upper quadrants of Figure 7.9 suggest), the human resource issues of recruiting and train- ing can be particularly important ingredients in service processes. Additionally, a committed workforce that exhibits flexibility when schedules are made and is cross-trained to fill in when the process requires less than a full-time person, can have a tremendous impact on overall process performance.

SELECTION OF EQUIPMENT AND TECHNOLOGY Ultimately, the decisions about a particular process require decisions about equipment and tech- nology. Those decisions can be complex because alternative methods of production are present in virtually all operations functions, be they hospitals, restaurants, or manufacturing facilities. Picking the best equipment means understanding the specific industry and available processes and technology. That choice of equipment, be it an X-ray machine for a hospital, a computer- controlled lathe for a factory, or a new computer for an office, requires considering cost, qual- ity, capacity, and flexibility. To make this decision, operations personnel develop documentation that indicates the capacity, size, and tolerances of each option, as well as its maintenance requirements. Any one of these attributes may be the deciding factor regarding selection.

The selection of equipment for a particular type of process can also provide competitive advantage. Many firms, for instance, develop unique machines or techniques within established

VIDEO 7.2 Process Analysis at Arnold

Palmer Hospital

� TABLE 7.3 Techniques for Improving Service Productivity

AUTHOR COMMENT A process that is going to win orders often depends

on the selection of the proper equipment.

Strategy Technique Example

Separation Structuring service so customers must Bank customers go to a manager to go where the service is offered open a new account, to loan officers for

loans, and to tellers for deposits

Self-service Self-service so customers examine, Supermarkets and department stores compare, and evaluate at their own pace Internet ordering

Postponement Customizing at delivery Customizing vans at delivery rather than at production

Focus Restricting the offerings Limited-menu restaurant

Modules Modular selection of service Investment and insurance selection Modular production Prepackaged food modules in restaurants

Automation Separating services that may lend Automatic teller machines themselves to some type of automation

Scheduling Precise personnel scheduling Scheduling ticket counter personnel at 15-minute intervals at airlines

Training Clarifying the service options Investment counselor, funeral directors Explaining how to avoid problems After-sale maintenance personnel

processes that provide an advantage. This advantage may result in added flexibility in meeting customer requirements, lower cost, or higher quality. Innovations and equipment modification might also allow for a more stable production process requiring less adjustment, maintenance, and operator training. In any case, specialized equipment often provides a way to win orders.

Modern technology also allows operations managers to enlarge the scope of their processes. As a result, an important attribute to look for in new equipment and process selection is flexible equipment. Flexibility is the ability to respond with little penalty in time, cost, or customer value. This may mean modular, movable, even cheap equipment. Flexibility may also mean the development of sophisticated electronic equipment, which increasingly provides the rapid changes that mass customization demands. The technological advances that influence OM process strategy are substantial and are discussed next.

PRODUCTION TECHNOLOGY Advances in technology that enhance production and productivity have a wide range of applica- tions in both manufacturing and services. In this section, we introduce nine areas of technology: (1) machine technology, (2) automatic identification systems (AIS), (3) process control, (4) vision systems, (5) robots, (6) automated storage and retrieval systems (ASRSs), (7) auto- mated guided vehicles (AGVs), (8) flexible manufacturing systems (FMSs), and (9) computer- integrated manufacturing (CIM).

Machine Technology Most of the world’s machinery that performs operations such as cutting, drilling, boring, and milling is undergoing tremendous progress in both precision and control. New machinery turns out metal components that vary less than a micron—1/76 the width of a human hair. They can accelerate water to three times the speed of sound to cut titanium for surgical tools. Machinery of the 21st century is often five times more productive than that of previous generations while being smaller and using less power. And continuing advances in lubricants now allow the use of water- based lubricants rather than oil-based. Using water-based lubricants eliminates hazardous waste and allows shavings to be easily recovered and recycled.

The intelligence now available for the control of new machinery via computer chips allows more complex and precise items to be made faster. Electronic controls increase speed by reduc- ing changeover time, reducing waste (because of fewer mistakes), and enhancing flexibility. Machinery with its own computer and memory is called computer numerical control (CNC) machinery.

Advanced versions of such technology are used on Pratt and Whitney’s turbine blade plant in Connecticut. The machinery has improved the loading and alignment task so much that Pratt has cut the total time for the grinding process of a turbine blade from 10 days to 2 hours. The new machinery has also contributed to process improvements that mean the blades now travel just 1,800 feet in the plant, down from 8,100 feet. The total throughput time for a turbine blade has been cut from 22 days to 7 days.

Automatic Identification Systems (AISs) and RFID New equipment, from numerically controlled manufacturing machinery to ATM machines, is controlled by digital electronic signals. Electrons are a great vehicle for transmitting informa- tion, but they have a major limitation—most OM data does not start out in bits and bytes. Therefore, operations managers must get the data into an electronic form. Making data digital is done via computer keyboards, bar codes, radio frequencies, optical characters, and so forth. These automatic identification systems (AISs) help us move data into electronic form, where it is easily manipulated.

Because of its decreasing cost and increasing pervasiveness, radio frequency identification (RFID) warrants special note. RFID is integrated circuitry with its own tiny antennas that use radio waves to send signals a limited range—usually a matter of yards. These RFID tags (some- times called RFID circuits) provide unique identification that enables the tracking and monitor- ing of parts, pallets, people, and pets—virtually everything that moves. RFID requires no line of sight between tag and reader.

218 PART 2 Designing Operations

Flexibility The ability to respond with little penalty in time, cost, or customer value.

Computer numerical control (CNC) Machinery with its own computer and memory.

Automatic identification system (AIS) A system for transforming data into electronic form, for example, bar codes.

AUTHOR COMMENT Here are 9 technologies

that can improve employee safety, product quality,

and productivity.

Radio frequency identification (RFID) A wireless system in which integrated circuits with antennas send radio waves.

LO5: Identify recent advances in production technology

Chapter 7 Process Strategy and Sustainability 219

Innovative OM examples of AISs and RFID include:

• Nurses reduce errors in hospitals by matching bar codes on medication to ID bracelets on patients.

• RFID tags in agriculture monitor the temperature at which fruit is kept. They can also track what chemicals and fertilizers have been used on the fruit.

• Transponders attached to cars allow McDonald’s to identify and bill customers who can now zip through the drive-through line without having to stop and pay. The transponders use the same technology that permits motorists to skip stops on some toll roads. McDonald’s esti- mates that the change speeds up throughput time by 15 seconds.

• Stanford University School of Medicine doctors are using sponges embedded with RFID tags. Waving a detector over an incision can tell if a surgeon accidentally left a sponge in the patient.

• FedEx tags major airplane parts, which allows them to be scanned so maintenance data (e.g., part number, installation date, country of origin) can be tracked.

Process Control Process control is the use of information technology to monitor and control a physical process. For instance, process control is used to measure the moisture content and thickness of paper as it travels over a paper machine at thousands of feet per minute. Process control is also used to deter- mine and control temperatures, pressures, and quantities in petroleum refineries, petrochemical processes, cement plants, steel mills, nuclear reactors, and other product-focused facilities.

Process control systems operate in a number of ways, but the following is typical:

• Sensors collect data. • Devices read data on some periodic basis, perhaps once a minute or once every second. • Measurements are translated into digital signals, which are transmitted to a computer. • Computer programs read the file (the digital data) and analyze the data. • The resulting output may take numerous forms. These include messages on computer con-

soles or printers, signals to motors to change valve settings, warning lights or horns, or statis- tical process control charts.

Vision Systems Vision systems combine video cameras and computer technology and are often used in inspection roles. Visual inspection is an important task in most food-processing and manufac- turing organizations. Moreover, in many applications, visual inspection performed by humans is tedious, mind-numbing, and error prone. Thus vision systems are widely used when the items being inspected are very similar. For instance, vision systems are used to inspect Frito- Lay’s potato chips so that imperfections can be identified as the chips proceed down the

With RFID, a cashier could scan the entire contents of a shopping cart in seconds.

Process control The use of information technology to control a physical process.

Vision systems Systems that use video cameras and computer technology in inspection roles.

In Anheuser-Busch’s brewhouse control room, process control software monitors the process where wort is being fermented into beer.

production line. Vision systems are used to ensure that sealant is present and in the proper amount on Whirlpool’s washing-machine transmissions, and to inspect switch assemblies at the Foster Plant in Des Plaines, Illinois. Vision systems are consistently accurate, do not become bored, and are of modest cost. These systems are vastly superior to individuals trying to perform these tasks.

Robots When a machine is flexible and has the ability to hold, move, and perhaps “grab” items, we tend to use the word robot. Robots are mechanical devices that use electronic impulses to activate motors and switches. Robots may be used effectively to perform tasks that are especially monot- onous or dangerous or those that can be improved by the substitution of mechanical for human effort. Such is the case when consistency, accuracy, speed, strength, or power can be enhanced by the substitution of machines for people. Ford, for example, uses robots to do 98% of the welding and most of the painting on some automobiles.

Automated Storage and Retrieval Systems (ASRSs) Because of the tremendous labor involved in error-prone warehousing, computer-controlled warehouses have been developed. These systems, known as automated storage and retrieval systems (ASRSs), provide for the automatic placement and withdrawal of parts and products into and from designated places in a warehouse. Such systems are commonly used in distribution facilities of retailers such as Wal-Mart, Tupperware, and Benetton. These systems are also found in inventory and test areas of manufacturing firms.

Automated Guided Vehicles (AGVs) Automated material handling can take the form of monorails, conveyors, robots, or automated guided vehicles. Automated guided vehicles (AGVs) are electronically guided and controlled carts used in manufacturing to move parts and equipment. They are also used in offices to move mail and in hospitals and in jails to deliver meals.

Flexible Manufacturing Systems (FMSs) When a central computer provides instructions to each workstation and to the material-handling equipment (which moves material to that station), the system is known as an automated work cell or, more commonly, a flexible manufacturing system (FMS). An FMS is flexible because both the material-handling devices and the machines themselves are controlled by easily changed electronic signals (computer programs). Operators simply load new programs, as necessary, to produce different products. The result is a system that can economically produce low volume but high variety. For example, the Lockheed Martin facility, near Dallas, efficiently builds one-of-a- kind spare parts for military aircraft. The costs associated with changeover and low utilization have been reduced substantially. FMSs bridge the gap between product-focused and process- focused facilities.

Computer-Integrated Manufacturing (CIM) Flexible manufacturing systems can be extended backward electronically into the engineering and inventory control departments and forward to the warehousing and shipping departments. In this way, computer-aided design (CAD) generates the necessary electronic instructions to run a numerically controlled machine. In a computer-integrated manufacturing environment, a design change initiated at a CAD terminal can result in that change being made in the part produced on the shop floor in a matter of minutes. When this capability is integrated with inventory control, warehousing, and shipping as a part of a flexible manufacturing system, the entire system is called computer-integrated manufacturing (CIM) (Figure 7.10).

Flexible manufacturing systems and computer-integrated manufacturing are reducing the dis- tinction between low-volume/high-variety and high-volume/low-variety production. Information technology is allowing FMS and CIM to handle increasing variety while expanding to include a growing range of volumes.

220 PART 2 Designing Operations

Robot A flexible machine with the ability to hold, move, or grab items. It functions through electronic impulses that activate motors and switches.

Automated storage and retrieval system (ASRS) Computer-controlled warehouses that provide for the automatic placement of parts into and from designated places within a warehouse.

Automated guided vehicle (AGV) Electronically guided and controlled cart used to move materials.

Flexible manufacturing system (FMS) A system that uses an automated work cell controlled by electronic signals from a common centralized computer facility.

Computer-integrated manufacturing (CIM) A manufacturing system in which CAD, FMS, inventory control, warehousing, and shipping are integrated.

Chapter 7 Process Strategy and Sustainability 221

TECHNOLOGY IN SERVICES Just as we have seen rapid advances in technology in the manufacturing sector, so we also find dramatic changes in the service sector. These range from electronic diagnostic equip- ment at auto repair shops, to blood- and urine-testing equipment in hospitals, to retinal secu- rity scanners at airports and high-security facilities. The hospitality industry provides other examples, as discussed in the OM in Action box “Technology Changes the Hotel Industry.” The McDonald’s approach is to use self-serve kiosks. The labor savings when ordering and speedier checkout service provide valuable productivity increases for both the restaurant and the customer.

Similarly, Andersen Windows, of Minnesota, has developed user-friendly computer software that enables customers to design their own window specifications. The customer calls up a product

AUTHOR COMMENT Although less dramatic than manufacturing, technology also improves quality and productivity in services.

� FIGURE 7.10 Computer-Integrated Manufacturing (CIM) CIM includes computer-aided design (CAD), computer-aided manufacturing (CAM), flexible manufacturing systems (FMSs), automated storage and retrieval systems (ASRSs), automated guided vehicles (AGVs), and robots to provide an integrated and flexible manufacturing process.

Management decides to make a product

OM runs production process, purchasing components, coordinating suppliers, planning and scheduling operations, overseeing quality and the workforce, and shipping to customers.

Computer-aided Manufacturing (CAM) converts raw materials into components or products

Robots and specialized equipment weld, insert, and assemble components.

Robots test it and box the finished product.

Information Flows

Material Flows

ASRS (above) and AGVs move incoming materials and parts, work-in-process, and complete product.

Computer-aided design (CAD) designs the product and programs the automated production equipment.

C o

m p

u te

r In

te g

ra te

d M

a n

u fa

c tu

ri n

g (

C IM

)

F le

x ib

le M

a n

u fa

c tu

ri n

g S

y s te

m (

F M

S )

information guide, promotion material, a gallery of designs, and a sketch pad to create the designs desired. The software also allows the customer to determine likely energy savings and see a graphic view of their home fitted with the new window.

In retail stores, POS terminals download prices quickly to reflect changing costs or market conditions, and sales are tracked in 15-minute segments to aid scheduling. Drug companies, such as Purdue Pharma LP, have begun tracking critical medications with radio frequency identifica- tion (RFID) tags to reduce counterfeiting and theft.

Table 7.4 provides a glimpse of the impact of technology on services. Operations managers in services, as in manufacturing, must be able to evaluate the impact of technology on their firm. This ability requires particular skill when evaluating reliability, investment analysis, human resource requirements, and maintenance/service.

222 PART 2 Designing Operations

Technology is introducing “intelligent rooms” to the hotel industry. Hotel management can now precisely track a maid’s time through the use of a security system. When a maid enters a room, a card is inserted that notifies the front-desk computer of the maid’s location. “We can show her a printout of how long she takes to do a room,” says one manager.

Security systems also enable guests to use their own credit cards as keys to unlock their doors. There are also other uses for the system. The computer can bar a guest’s access to the room after checkout time and automatically control the air conditioning or heat, turning it on at check- in and off at checkout.

Minibars are now equipped with sensors that alert the central computer system at the hotel when an item is removed. Such items are immediately billed to the room. And now, with a handheld infrared unit, housekeeping staff can check, from the hallway, to see if a room is physically

occupied. This both eliminates the embarrassment of having a hotel staffer walk in on a guest and improves security for housekeepers.

At Loew’s Portofino Bay Hotel at Universal Studios, Orlando, guest smart cards act as credit cards in both the theme park and the hotel, and staff smart cards (programmed for different levels of security access) create an audit trail of employee movement. Starwood Hotels, which runs such properties as Sheraton and Westins, use Casio Pocket PCs to communicate with a hotel wireless network. Now guests can check in and out from any place on the property, such as at their restaurant table after breakfast or lunch.

Sources: Hotel and Motel Management (November 5, 2007): 16; Hotels (April 2004): 51–54; and Newsweek (international ed.) (September 27, 2004): 73.

�TABLE 7.4 Examples of Technology’s Impact on Services

Service Industry Example

Financial Services Debit cards, electronic funds transfer, automatic teller machines, Internet stock trading, online banking via cell phone.

Education Online newspapers, online journals, interactive assignments via Web CT, Blackboard, and smart phones.

Utilities and government Automated one-man garbage trucks, optical mail scanners, flood-warning systems, meters allowing homeowners to control energy usage and costs.

Restaurants and foods Wireless orders from waiters to the kitchen, robot butchering, transponders on cars that track sales at drive-throughs.

Communications Interactive TV, ebooks via Kindle 2.

Hotels Electronic check-in/checkout, electronic key/lock systems, mobile Web bookings.

Wholesale/retail trade Point-of-sale (POS) terminals, e-commerce, electronic communication between store and supplier, bar-coded data, RFID

Transportation Automatic toll booths, satellite-directed navigation systems, Wi-Fi in automobiles

Health care Online patient-monitoring systems, online medical information systems, robotic surgery

Airlines Ticketless travel, scheduling, Internet purchases, boarding passes downloaded as two-dimensional bar codes on smart phones

OM in Action � Technology Changes the Hotel Industry

Chapter 7 Process Strategy and Sustainability 223

Process redesign The fundamental rethinking of business processes to bring about dramatic improvements in performance.

PROCESS REDESIGN Often a firm finds that the initial assumptions of its process are no longer valid. The world is a dynamic place, and customer desires, product technology, and product mix change. Consequently, processes are redesigned. Process redesign is the fundamental rethinking of business processes to bring about dramatic improvements in performance. Effective process redesign relies on reevaluating the purpose of the process and questioning both purpose and underlying assumptions. It works only if the basic process and its objectives are reexamined.

Process redesign also focuses on those activities that cross functional lines. Because man- agers are often in charge of specific “functions” or specialized areas of responsibility, those activities (processes) that cross from one function or specialty to another may be neglected. Redesign casts aside all notions of how the process is currently being done and focuses on dra- matic improvements in cost, time, and customer value. Any process is a candidate for radical redesign. The process can be a factory layout, a purchasing procedure, a new way of processing credit applications, or a new order-fulfillment process.

Shell Lubricants, for example, reinvented its order-fulfillment process by replacing a group of people who handled different parts of an order with one individual who does it all. As a result, Shell has cut the cycle time of turning an order into cash by 75%, reduced operating expenses by 45%, and boosted customer satisfaction 105%—all by introducing a new way of handling orders. Time, cost, and customer satisfaction—the dimension of performance shaped by operations—get major boosts from operational innovation.

SUSTAINABILITY In Chapter 5 we discussed goods and services design and its potential impact on ethics, the envi- ronment, and sustainability. We now introduce the issue of sustainability in production processes.4

Managers may find it helpful to think in terms of four Rs as they address sustainability. These are (1) the resources used by the production process, (2) the recycling of production materials and product components, (3) the regulations that apply, and (4) the firm’s reputation. All four areas provide impetus for managers to perform well as they develop and refine production processes.

Resources Operations is often the primary user of the firm’s resources. This puts special pressure on using human, financial, and material resources in a sustainable way. Most firms are good at reducing resource use as it is a win–win situation: reducing resources lowers cost as well as being a positive force toward sus- tainability. Examples of sustainable use in production processes are actions taken by:

• Wal-Mart and Frito-Lay have both driven down their water and energy use. (These firms’ efforts in sustainability are discussed in the video cases in the Lecture Guide & Activities Manual.)

• Subaru’s Indiana plant has driven down energy use by 14% per car. • Pepsi has reduced the weight of its plastic bottles for Aquafina by 20%. This reduces resource

use and saves weight with the added advantage of cutting delivery cost. • The Ritz-Carlton is doing laundry at night to reduce electricity costs.

Recycle As managers seek sustainability, they should realize that there are only three things that can be done with waste: burn it, bury it, or reuse it. The first two have undesirable consequences. Burned waste pumps unwanted emissions into the atmosphere, and burying has the potential of releasing methane and ammonia, as well as creating fires, explosions, and water table issues. While recycling begins at design by specifying products and components that have recycle potential, managers must build processes that facilitate disassembly and reuse of those materials. Whether it is plastic, glass, or lead in an automobile or plastic bags and Styrofoam from the gro- cery store, recycling has a significant role in sustainability. Examples are:

• Anheuser-Busch saves over $30 million per year in energy and waste-treatment costs by using treated plant wastewater to generate the gas that powers its St. Louis brewery.

• Standard Register, a major manufacturer of multipart paper forms, produces considerable paper scrap—almost 20 tons of punch holes alone per month—which creates a significant

AUTHOR COMMENT Most processes we design are existing processes, so

the ability to redesign them is important.

AUTHOR COMMENT Process selection and

management can support conservation and renewal

of resources.

4We define sustainable in an OM context as a production system that supports conservation and renewal of resources.

VIDEO 7.3 Green Manufacturing and sustainability at Frito-Lay

LO6: Discuss the four R’s of sustainability

224 PART 2 Designing Operations

waste issue. But the company developed ways to recycle the paper scrap, as well as aluminum and silver from the plate-making process.

Regulations Laws and regulations affecting transportation, waste, and noise are proliferating and can be as much of a challenge as reducing resource use. While the challenge can be difficult, firms must abide by the legal requirements of the host nation; society expects no less. The resources avail- able from Planet Earth are finite and many by-products are undesirable. So organizations are increasingly under pressure from regulatory agencies to reduce by-products that yield green- house gasses and pollute the air and water. Greenhouse gasses (GHG) include carbon dioxide, methane, nitrous oxide, and fluorinated gasses that are believed to contribute to global warning. To meet regulatory requirements, firms design, redesign, and invest substantial human and finan- cial resources. Some examples are:

• Home builders are required not just to manage water runoff but to have a pollution prevention plan for each site.

• Public drinking water systems must comply with the federal Safe Drinking Water Act’s arsenic standard, even for existing facilities.

• Hospitals are required to meet the terms of the Resource Conservation and Recovery Act, which governs the storage and handling of hazardous material.

• Manufacturers, miners, dairies, refineries, and other firms that emit 25,000 metric tons or more per year of GHG emissions are required to submit annual reports to the EPA.

Carbon Footprint. Another sustainability issue is evaluating and reducing the carbon foot- print. This is a measurement of greenhouse gasses for which international regulation is pending. A substantial portion of greenhouse gasses are released naturally by farming, cattle, and decaying forests, but also by manufacturing and services. Operations personnel are being asked to contribute to their reduction.

Industry leaders such as Frito-Lay have been able to break down the carbon emissions from var- ious stages in the production process. For instance in potato chip production, a 34.5 gram (1.2 ounce) bag of chips is responsible for about twice its weight in emissions—75 grams per bag—with contributions coming from: (1) raw materials (potatoes, oil, seasonings), 44%; (2) manufacture (producing the chips in the factory), 30%; (3) packaging, 15%; (4) shipping, 9%; and (5) disposal by the customer of an empty bag, 2%. Frito-Lay has targeted its raw material suppliers and distributors to reduce the carbon footprint, which has already gone down by 7% in the past two years.

Reputation The marketplace may reward leadership in sustainability. The free enterprise system operates on a voluntary basis: if employees, suppliers, distributors, providers of capital, and, of course, cus- tomers, do not want to do business with a firm, they are not required to do so. Those organiza- tions that do not meet society’s expectations can expect these voluntary relationships to be difficult to build and maintain. A bad reputation does have negative consequences. Our society is

Hospitals use RFID sensors to track patients, staff, and equipment.

Pharmaceutical companies are counting on RFID to aid the tracking and tracing of drugs in the distribution system to reduce losses that total over $30 billion a year.

Chapter 7 Process Strategy and Sustainability 225

increasingly transparent, and both good news and bad news travel rapidly. But green processes can yield good news, a good reputation, and good results. Here are three examples:

• British cosmetic firm The Body Shop has successfully differentiated its products by stressing environmental sensitivity. It pursues a product design, development, and testing strategy that it believes to be ethical and socially responsible. This includes environment-friendly ingredi- ents and elimination of animal testing.

• Ben & Jerry’s pursues its socially responsible image (and saves $250,000 annually) just by using energy-efficient lighting.

• Frito-Lay has built a plant powered by solar energy in Modesto, California, and advertises the product as Sun Chips.

Imaginative, well-led firms are finding opportunities to build sustainable production processes that conserve resources, recycle, meet regulatory requirements, and foster a positive reputation.

Effective operations managers understand how to use process strategy as a competitive weapon. They select a production process with the necessary quality, flexibility, and cost structure to meet product and volume requirements. They also seek cre- ative ways to combine the low unit cost of high-volume, low- variety manufacturing with the customization available through low-volume, high-variety facilities. Managers use the tech- niques of lean production and employee participation to

encourage the development of efficient equipment and processes. They design their equipment and processes to have capabilities beyond the tolerance required by their customers, while ensuring the flexibility needed for adjustments in technol- ogy, features, and volumes.

CHAPTER SUMMARY

Key Terms

Process strategy (p. 204) Process focus (p. 204) Repetitive process (p. 205) Modules (p. 205) Product focus (p. 206) Mass customization (p. 206) Build-to-order (BTO) (p. 207) Postponement (p. 207) Crossover chart (p. 209) Flowchart (p. 211) Time-function mapping (or process

mapping) (p. 211)

Value-stream mapping (VSM) (p. 212)

Process charts (p. 213) Service blueprinting (p. 214) Flexibility (p. 218) Computer numerical control (CNC) (p. 218) Automatic identification system

(AIS) (p. 218) Radio frequency identification

(RFID) (p. 218) Process control (p. 219) Vision systems (p. 219)

Robot (p. 220) Automated storage and retrieval

system (ASRS) (p. 220) Automated guided vehicle

(AGV) (p. 220) Flexible manufacturing system

(FMS) (p. 220) Computer-integrated manufacturing

(CIM) (p. 220) Process redesign (p. 223)

� SOLVED PROBLEM 7.1 Bagot Copy Shop has a volume of 125,000 black-and-white copies per month. Two salesmen have made presentations to Gordon Bagot for machines of equal quality and reliability. The Print Shop 5 has a cost of $2,000 per month and a variable cost of $.03. The other machine (a Speed Copy 100) will cost only $1,500 per month but the toner is more expensive, driving the cost per copy up to $.035. If cost and volume are the only considerations, which machine should Bagot purchase?

Solved Problem Virtual Office Hours help is available at www.myomlab.com

� SOLUTION

Because Bagot expects his volume to exceed 100,000 units, he should choose the Print Shop 5.

500 = .005 X 2,000 - 1,500 = .035 X - .03 X

2,000 + .03 X = 1,500 + .035 X

226 PART 2 Designing Operations

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Matthew Yachts, Inc.: Examines a possible process change as the market for yachts changes.

Bibliography

Inderfurth, Karl, I. M. Langella. “An Approach for Solving Disassembly-to-order Problems under Stochastic Yields.” In Logistik Management. Heidelberg: Physica, 2004: 309–331.

Moeeni, F. “From Light Frequency Identification to Radio Frequency Identification in the Supply Chain,” Decision Line 37, no. 3 (May 2006): 8–13.

Rugtusanatham, M. Johnny, and Fabrizio Salvador. “From Mass Production to Mass Customization.” Production and Operations Management 17, no. 3 (May–June 2008): 385–396.

Su, J. C. P., Y. Chang, and M. Ferguson. “Evaluation of Postponement Structures to Accommodate Mass Customization.” Journal of Operations Management 23, no. 3–4 (April 2005): 305–318.

Swamidass, Paul M. Innovations in Competitive Manufacturing. Dordrecht, NL: Kluwer, 2000.

Welborn, Cliff. “Mass Customization.” OR/MS Today (December 2007): 38–42.

Zipkin, Paul. “The Limits of Mass Customization.” MIT Sloan Management Review 40, no. 1 (Spring 2001): 81–88.

Davenport, T. H. “The Coming Commoditization of Processes.” Harvard Business Review 83, no. 6 (June 2005): 101–108.

Debo, L. G., L. B. Toktay, and L. N. Van Wassenhove. “Market Segmentation and Product Technology Selection for Remanufacturable Products.” Management Science 51, no. 8 (August 2005): 1193–1205.

Duray, R., P. T. Ward, G. W. Milligan, and W. L. Berry. “Approaches to Mass Customization: Configurations and Empirical Validation.” Journal of Operations Management 18, no. 6 (November 2000): 605–625.

Duray, R. “Mass Customization Origins: Mass or Custom Manufacturing.” International Journal of Operations and Production Management 22, no. 3 (2002): 314–328.

Gilmore, James H., and Joseph Pine II (eds.). Markets of One: Creating Customer-Unique Value through Mass Customization. Boston: Harvard Business Review Book, 2000.

Hall, Joseph M., and M. Eric Johnson. “When Should a Process Be Art, Not Science?” Harvard Business Review 87, no. 3 (March 2009): 58–65.

Hegde, V. G., et al. “Customization: Impact on Product and Process Performance.” Production and Operations Management 14, no. 4 (Winter 2005): 388–399.

Capacity and Constraint Management

Supplement Outline

Capacity 228

Bottleneck Analysis and the Theory of Constraints 234

Break-Even Analysis 238

Reducing Risk with Incremental Changes 242

Applying Expected Monetary Value (EMV) to Capacity Decisions 243

Applying Investment Analysis to Strategy-Driven Investments 244

227

SUPPLEMENTSUPPLEMENT

228 PART 2 Designing Operations

LO1: Define capacity 228

LO2: Determine design capacity, effective capacity, and utilization 230

LO3: Perform bottleneck analysis 234

Supplement 7 Learning Objectives

When designing a concert hall, management hopes that the forecasted capacity (the product mix—opera, symphony, and special events—and the technology needed for these events) is accurate and adequate for operation above the break-even point. However, in many concert halls, even when operating at full capacity, break-even is not achieved, and supplemental funding must be obtained.

CAPACITY What should be the seating capacity of a concert hall? How many customers per day should an Olive Garden or a Hard Rock Cafe be able to serve? How large should a Frito-Lay plant be to produce 75,000 bags of Ruffles in an 8-hour shift? In this supplement we look at tools that help a manager make these decisions.

After selection of a production process (Chapter 7), managers need to determine capacity. Capacity is the “throughput,” or the number of units a facility can hold, receive, store, or pro- duce in a given time. Capacity decisions often determine capital requirements and therefore a large portion of fixed cost. Capacity also determines whether demand will be satisfied or whether facilities will be idle. If a facility is too large, portions of it will sit unused and add cost to exist- ing production. If a facility is too small, customers—and perhaps entire markets—will be lost. Determining facility size, with an objective of achieving high levels of utilization and a high return on investment, is critical.

Capacity planning can be viewed in three time horizons. In Figure S7.1 we note that long- range capacity (greater than 1 year) is a function of adding facilities and equipment that have a long lead time. In the intermediate range (3 to 18 months), we can add equipment, personnel, and shifts; we can subcontract; and we can build or use inventory. This is the “aggregate planning” task. In the short run (usually up to 3 months), we are primarily concerned with scheduling jobs and people, as well as allocating machinery. Modifying capacity in the short run is difficult, as we are usually constrained by existing capacity.

Design and Effective Capacity Design capacity is the maximum theoretical output of a system in a given period under ideal conditions. It is normally expressed as a rate, such as the number of tons of steel that can be pro- duced per week, per month, or per year. For many companies, measuring capacity can be

Capacity The “throughput,” or number of units a facility can hold, receive, store, or produce in a period of time.

LO1: Define capacity

LO4: Compute break-even 239

LO5: Determine expected monetary value of a capacity decision 243

LO6: Compute net present value 245

AUTHOR COMMENT Too little capacity loses

customers and too much capacity is expensive. Like

Goldilocks’s porridge, capacity needs to be

just right.

Design capacity The theoretical maximum output of a system in a given period under ideal conditions.

Supplement 7 Capacity and Constraint Management 229

Long-range planning

Options for Adjusting Capacity

Time Horizon

Intermediate-range planning

Short-range planning

(aggregate planning)

(scheduling)

Modify capacity Use capacity

Add facilities. Add long lead time equipment.

Subcontract. Add equipment. Add shifts.

Add personnel. Build or use inventory.

Schedule jobs. Schedule personnel. Allocate machinery.

*

*

* Difficult to adjust capacity as limited options exist

� FIGURE S7.1 Time Horizons and Capacity Options

straightforward: It is the maximum number of units the company is capable of producing in a spe- cific time. However, for some organizations, determining capacity can be more difficult. Capacity can be measured in terms of beds (a hospital), active members (a church), or classroom size (a school). Other organizations use total work time available as a measure of overall capacity.

Most organizations operate their facilities at a rate less than the design capacity. They do so because they have found that they can operate more efficiently when their resources are not stretched to the limit. For example, lan’s Bistro has tables set with 2 or 4 chairs seating a total of 270 guests. But the tables are never filled that way. Some tables will have 1 or 3 guests; tables can be pulled together for parties of 6 or 8. There are always unused chairs. Design capacity is 270, but effective capacity is often closer to 220, which is 81% of design capacity.

Effective capacity is the capacity a firm expects to achieve given the current operating con- straints. Effective capacity is often lower than design capacity because the facility may have been designed for an earlier version of the product or a different product mix than is currently being produced.

Two measures of system performance are particularly useful: utilization and efficiency. Utilization is simply the percent of design capacity actually achieved. Efficiency is the percent of effective capacity actually achieved. Depending on how facilities are used and managed, it may be difficult or impossible to reach 100% efficiency. Operations managers tend to be evalu- ated on efficiency. The key to improving efficiency is often found in correcting quality problems and in effective scheduling, training, and maintenance. Utilization and efficiency are computed below:

(S7-1)

(S7-2)

In Example S1 we determine these values.

Efficiency = Actual output/Effective capacity

Utilization = Actual output/Design capacity

Effective capacity The capacity a firm can expect to achieve, given its product mix, methods of scheduling, maintenance, and standards of quality.

Utilization Actual output as a percent of design capacity.

Efficiency Actual output as a percent of effective capacity.

Sara James Bakery has a plant for processing Deluxe breakfast rolls and wants to better understand its capability. Determine the design capacity, utilization, and efficiency for this plant when producing this Deluxe roll.

APPROACH � Last week the facility produced 148,000 rolls. The effective capacity is 175,000 rolls. The production line operates 7 days per week, with three 8-hour shifts per day. The line was designed to process the nut-filled, cinnamon-flavored Deluxe roll at a rate of 1,200 per hour. The firm first computes the design capacity and then uses Equation (S7-1) to determine utilization and Equation (S7-2) to determine efficiency.

SOLUTION �

Efficiency = Actual output/Effective capacity = 148,000/175,000 = 84.6% Utilization = Actual output/Design capacity = 148,000/201,600 = 73.4%

Design capacity = 17 days * 3 shifts * 8 hours2 * 11,200 rolls per hour2 = 201,600 rolls

� EXAMPLE S1 Determining capacity utilization and efficiency

230 PART 2 Designing Operations

Design capacity, utilization, and efficiency are all important measures for an operations man- ager. But managers often need to know the expected output of a facility or process. To do this, we solve for actual (or in this case, future or expected) output as shown in Equation (S7-3):

(S7-3)

Expected output is sometimes referred to as rated capacity. With a knowledge of effective capacity and efficiency, a manager can find the expected output of a facility. We do so in Example S2.

Actual 1or Expected2 output = 1Effective capacity21Efficiency2

EXAMPLE S2 � Determining expected output

The manager of Sara James Bakery (see Example S1) now needs to increase production of the increas- ingly popular Deluxe roll. To meet this demand, she will be adding a second production line.

APPROACH � The manager must determine the expected output of this second line for the sales department. Effective capacity on the second line is the same as on the first line, which is 175,000 Deluxe rolls. The first line is operating at an efficiency of 84.6%, as computed in Example S1. But out- put on the second line will be less than the first line because the crew will be primarily new hires; so the efficiency can be expected to be no more than 75%. What is the expected output?

SOLUTION � Use Equation (S7-3) to determine the expected output:

INSIGHT � The sales department can now be told the expected output is 131,250 Deluxe rolls.

LEARNING EXERCISE � After 1 month of training, the crew on the second production line is expected to perform at 80% efficiency. What is the revised expected output of Deluxe rolls? [Answer: 140,000.]

RELATED PROBLEMS � S7.3, S7.6, S7.8

Expected output = 1Effective capacity21Efficiency2 = 1175,00021.752 = 131,250 rolls

INSIGHT � The bakery now has the information necessary to evaluate efficiency.

LEARNING EXERCISE � If the actual output is 150,000, what is the efficiency? [Answer: 85.7%.]

RELATED PROBLEMS � S7.1, S7.2, S7.4, S7.5, S7.7

ACTIVE MODEL S7.1 This example is further illustrated in Active Model S7.1 at www.pearsonhighered.com/heizer.

LO2: Determine design capacity, effective capacity, and utilization

If the expected output is inadequate, additional capacity may be needed. Much of the remainder of this supplement addresses how to effectively and efficiently add that capacity.

Capacity and Strategy Sustained profits come from building competitive advantage, not just from a good financial return on a specific process. Capacity decisions must be integrated into the organization’s mis- sion and strategy. Investments are not to be made as isolated expenditures, but as part of a coordinated plan that will place the firm in an advantageous position. The questions to be asked are, “Will these investments eventually win profitable customers?” and “What competi- tive advantage (such as process flexibility, speed of delivery, improved quality, and so on) do we obtain?”

All 10 decisions of operations management we discuss in this text, as well as other organiza- tional elements such as marketing and finance, are affected by changes in capacity. Change in capacity will have sales and cash flow implications, just as capacity changes have quality, supply chain, human resource, and maintenance implications. All must be considered.

Supplement 7 Capacity and Constraint Management 231

Capacity Considerations In addition to tight integration of strategy and investments, there are four special considerations for a good capacity decision:

1. Forecast demand accurately: An accurate forecast is paramount to the capacity decision. The new product may be Olive Garden’s veal scampi, a dish that places added demands on the restaurant’s food service, or the product may be a new maternity capability at Arnold Palmer Hospital, or the new hybrid Lexus. Whatever the new product, its prospects and the life cycle of existing products, must be determined. Management must know which products are being added and which are being dropped, as well as their expected volumes.

2. Understand the technology and capacity increments: The number of initial alternatives may be large, but once the volume is determined, technology decisions may be aided by analysis of cost, human resources required, quality, and reliability. Such a review often reduces the number of alternatives to a few. The technology may dictate the capacity increment. Meeting added demand with a few extra tables in an Olive Garden may not be difficult, but meeting increased demand for a new automobile by adding a new assembly line at BMW may be very difficult—and expensive. The operations manager is held responsible for the technol- ogy and the correct capacity increment.

3. Find the optimum operating size (volume): Technology and capacity increments often dic- tate an optimal size for a facility. A roadside motel may require 50 rooms to be viable. If smaller, the fixed cost is too burdensome; if larger, the facility becomes more than one man- ager can supervise. A hypothetical optimum for the motel is shown in Figure S7.2. This issue is known as economies and diseconomies of scale. As the Krispy Kreme photo sug- gests, most businesses have an optimal size—at least until someone comes along with a new business model. For decades, very large integrated steel mills were considered optimal. Then along came Nucor, CMC, and other minimills with a new process and a new business model that changed the optimum size of a steel mill.

4. Build for change: In our fast-paced world, change is inevitable. So operations managers build flexibility into the facility and equipment. They evaluate the sensitivity of the decision by test- ing several revenue projections on both the upside and downside for potential risks. Buildings can often be built in phases; and buildings and equipment can be designed with modifications in mind to accommodate future changes in product, product mix, and processes.

Rather than strategically manage capacity, managers may tactically manage demand.

Managing Demand Even with good forecasting and facilities built to that forecast, there may be a poor match between the actual demand that occurs and available capacity. A poor match may mean demand exceeds capacity or capacity exceeds demand. However, in both cases, firms have options.

Demand Exceeds Capacity When demand exceeds capacity, the firm may be able to curtail demand simply by raising prices, scheduling long lead times (which may be inevitable), and dis- couraging marginally profitable business. However, because inadequate facilities reduce revenue

25-room roadside motel 50-room

roadside motel

Economies of scale

75-room roadside motel

Diseconomies of scale

Number of Rooms

A v e ra

g e u

n it

c o

s t

(d o

ll a rs

p e r

ro o

m p

e r

n ig

h t)

Cost Structure for Roadside Motel (no pool and no dining room)

25 50 75

� FIGURE S7.2 Economies and Diseconomies of Scale

AUTHOR COMMENT Each industry and technology

has an optimum size.

232 PART 2 Designing Operations

Krispy Kreme originally had 8,000-square-foot stores but found them too large and too expensive for many markets. Then they tried tiny 1,300- square-foot stores, which required less investment, but such stores were too small to provide the mystique of seeing and smelling Krispy Kreme donuts being made. Krispy Kreme finally got it right with a 2,600-foot-store. This one includes a huge glass window to view doughnut production.

below what is possible, the long-term solution is usually to increase capacity (as we see in the OM in Action box “Too Little Capacity at Dalrymple Bay”).

Capacity Exceeds Demand When capacity exceeds demand, the firm may want to stimu- late demand through price reductions or aggressive marketing, or it may accommodate the mar- ket through product changes. When decreasing customer demand is combined with old and inflexible processes, layoffs and plant closings may be necessary to bring capacity in line with demand.

Adjusting to Seasonal Demands A seasonal or cyclical pattern of demand is another capacity challenge. In such cases, management may find it helpful to offer products with com- plementary demand patterns—that is, products for which the demand is high for one when low for the other. For example, in Figure S7.3 the firm is adding a line of snowmobile motors to its line of jet skis to smooth demand. With appropriate complementing of products, perhaps the uti- lization of facility, equipment, and personnel can be smoothed.

Nearly 20 ships were anchored in the Coral Sea on a recent morning. They were waiting to be loaded with coal to fuel Asia’s voracious steel mills. Australia has some of the most prolific coal mines in the world, but its key port of Dalrymple Bay, just outside Queensland, isn’t big enough to meet demand. So the ships sit idle for days. Capacity at the port is far below what is needed for the current worldwide demand. This makes Dalrymple Bay one of the key choke points.

The process is rather simple but expensive. Trains are loaded with coal at the mines, travel several hours to the port, and dump their coal into piles that are sprayed with water to prevent black coal dust from blowing onto homes and beaches. Eventually, the coal is loaded onto a conveyor belt that moves 2.5 miles out into the Coral Sea, to be loaded onto ships.

The current plan is to invest $610 million to expand port capacity to 85 million metric tons of coal in the next 3 years. But this is still less than the estimated demand requirement of 107 million metric tons needed. As a result, coal companies, even after the expansion is completed, may still find access to shipping rationed.

The demand must exist, the port must expand, and the mines must enlarge. Without that assurance, the risk remains high and the necessary ROI (return on investment) is not there. Managers are not going to put significant money into expanding port capacity until they are comfortable that both the demand and coal supply support a larger port. To justify investment in capacity, each phase of the chain must support that investment. Sources: Railway Gazette International (December 2008): 947–951 and The Wall Street Journal (July 7, 2005): C1, C4.

OM in Action � Too Little Capacity at Dalrymple Bay

Supplement 7 Capacity and Constraint Management 233

Combining the two demand patterns reduces the variation.

Snowmobile motor sales

Jet ski engine sales

1,000

2,000

3,000

4,000

S a le

s in

u n its

Time (months)

J F M A M J J A S O N D J F M A M J J A S O N D J

� FIGURE S7.3 By Combining Products That Have Complementary Seasonal Patterns, Capacity Can Be Better Utilized

Tactics for Matching Capacity to Demand Various tactics for matching capacity to demand exist. Options for adjusting capacity include:

1. Making staffing changes (increasing or decreasing the number of employees or shifts) 2. Adjusting equipment (purchasing additional machinery or selling or leasing out existing

equipment) 3. Improving processes to increase throughput 4. Redesigning products to facilitate more throughput 5. Adding process flexibility to better meet changing product preferences 6. Closing facilities

The foregoing tactics can be used to adjust demand to existing facilities. The strategic issue is, of course, how to have a facility of the correct size.

Demand and Capacity Management in the Service Sector In the service sector, scheduling customers is demand management, and scheduling the work- force is capacity management.

Demand Management When demand and capacity are fairly well matched, demand manage- ment can often be handled with appointments, reservations, or a first-come, first-served rule. In some businesses, such as doctors’ and lawyers’ offices, an appointment system is the schedule and is adequate. Reservations systems work well in rental car agencies, hotels, and some restaurants as a means of minimizing customer waiting time and avoiding disappointment over unfilled service.

AUTHOR COMMENT A smoother sales demand contributes to improved

scheduling and better human resource strategies.

Matching capacity and demand can be a challenge. When market share is declining the mismatch between demand and capacity means empty plants and laying off employees (left photo). On the other hand, when demand exceeds capacity, as at this opening of the Apple store on the outskirts of Rome, Italy, the mismatch may mean frustrated customers and lost revenue (right photo).

234 PART 2 Designing Operations

In retail shops, a post office, or a fast-food restaurant, a first-come, first-served rule for serving customers may suffice. Each industry develops its own approaches to matching demand and capac- ity. Other more aggressive approaches to demand management include many variations of dis- counts: “early bird” specials in restaurants, discounts for matinee performances or for seats at odd hours on an airline, and cheap weekend phone calls.

Capacity Management When managing demand is not feasible, then managing capacity through changes in full-time, temporary, or part-time staff may be an option. This is the approach in many services. For instance, hospitals may find capacity limited by a shortage of board-certified radiologists willing to cover the graveyard shifts. Getting fast and reliable radiology readings can be the difference between life and death for an emergency room patient. As the photo above illustrates, when an overnight reading is required (and 40% of CT scans are done between 8 P.M. and 8 A.M.), the image can be sent by e-mail to a doctor in Europe or Australia for immediate analysis.

BOTTLENECK ANALYSIS AND THE THEORY OF CONSTRAINTS As managers seek to match capacity to demand, decisions must be made about the size of spe- cific operations or work areas in the larger system. Each of the interdependent work areas can be expected to have its own unique capacity. Capacity analysis involves determining the through- put capacity of workstations in a system and ultimately the capacity of the entire system.

A key concept in capacity analysis is the role of a constraint or bottleneck. A bottleneck is an operation that is the limiting factor or constraint. The term bottleneck refers to the literal neck of a bottle that constrains flow or, in the case of a production system, constrains throughput. A bot- tleneck has the lowest effective capacity of any operation in the system and thus limits the sys- tem’s output. Bottlenecks occur in all facets of life—from job shops where a machine is constraining the work flow to highway traffic where two lanes converge into one inadequate lane, resulting in traffic congestion.

Arnold Palmer Hospital provides an example of managing a bottleneck. Its constraint for delivering more babies was hospital bed availability. The long-term solution to this bottle- neck was to add capacity via a 4-year construction project. But the hospital staff sought an immediate way to increase capacity of the bottleneck. The solution: If a woman is ready for discharge and cannot be picked up prior to 5 P.M., staffers drive home the woman and her baby themselves. Not only does this free up a bed for the next patient, it also creates good will.

LO3: Perform bottleneck analysis

Capacity analysis A means of determining throughput capacity of workstations or an entire production system.

AUTHOR COMMENT There are always bottlenecks;

a manager must identify and manage them.

Bottleneck The limiting factor or constraint in a system.

Many U.S. hospitals use services abroad to manage capacity for radiologists during night shifts. Night Hawk, an Idaho-based service with 50 radiologists in Zurich and Sydney, contracts with 900 facilities (20% of all U.S. hospitals). These trained experts, wide awake and alert in their daylight hours, usually return a diagnosis in 10 to 20 minutes, with a guarantee of 30 minutes.

Supplement 7 Capacity and Constraint Management 235

Process Times for Stations, Systems, and Cycles Three metrics are important to help us analyze production system capacity. First, we define process time of a station as the time to produce a given number of units (or a batch of units) at that workstation. For example, if 60 windshields on a Ford assembly line can be installed in 30 minutes, then the process time is 0.5 minutes per windshield. (Process time is simply the inverse of capacity, which in this case is 60 minutes per hour/0.5 minutes per windshield 120 wind- shields installed per hour.) Process time of a system is the time of the longest process (the slow- est workstation) in the system, which is defined as the process time of the bottleneck. Process cycle time, on the other hand, is the time it takes for a unit of product, such as a car, to go through the entire empty system, from start to finish.1

Process time of a system and process cycle time may be quite different. For example, a Ford assembly line may roll out a new car every minute (process time of the system, because this is the longest workstation), but it may take 30 hours to actually make a car from start to finish (process cycle time). This is because the assembly line has many workstations, with each station contribut- ing to the completed car. Thus, the system’s process time determines its capacity (one car per minute), while its process cycle time determines potential ability to build a product (30 hours).

Figure S7.4 displays a simple assembly line using a flowchart, with the individual process station times shown as 2, 4, and 3 minutes. The process time for the system is 4 minutes because station B is the slowest station, the bottleneck, with a 4-minute process time. Station A could work faster than that, but the result would be a pile of inventory continuously building in front of station B. Station C could also potentially work faster than 4 minutes per unit, but there is no way to tap into its excess capacity because station B will not be able to feed products to station C to work on any faster than one every 4 minutes. Thus, we see that the excess capacity at non-bottle- neck stations cannot be used to somehow “make up for the bottleneck.” Finally, the time to pro- duce a new unit, the process cycle time, is minutes.

The following two examples illustrate capacity analysis for slightly more complex systems. Example S3 introduces the concept of parallel processes, and Example S4 introduces the concept of simultaneous processing.

2 + 4 + 3 = 9

=

1The more general term is manufacturing cycle time, but we use process cycle time here to note that we are defining the time in an empty system. Cycle time varies, depending on the status of the system, from empty to substantial work-in- process.

Process time of a station The time to produce units at a single workstation.

Process time of a system The time of the longest (slowest) process; the bottleneck.

Process cycle time The time it takes for a product to go through the production process with no waiting.

3 min/unit

C

4 min/unit

B

2 min/unit

A

� FIGURE S7.4 Three-Station Assembly Line A box represents an operation, a triangle represents inventory, and arrows represent precedence relationships

� EXAMPLE S3 Capacity analysis with parallel processes

Howard Kraye’s sandwich shop provides healthy sandwiches for customers. Howard has two identi- cal sandwich assembly lines. A customer first places and pays for an order, which takes approxi- mately 30 seconds. The order is then sent to one of the two lines. Each assembly line has two workers and three major operations: (1) worker 1 retrieves and cuts the bread (15 seconds/ sandwich), (2) worker 2 adds ingredients and places the sandwich onto the toaster conveyor belt (20 seconds/sandwich), and (3) the toaster heats the sandwich (40 seconds/sandwich). A wrapper then wraps heated sandwiches coming from both lines and provides final packaging for the customer (37.5 seconds/sandwich). A flowchart of the customer order is shown below.

15 sec/sandwich

Bread

20 sec/sandwich

Fill

40 sec/sandwich

Toast

15 sec/sandwich

Bread

20 sec/sandwich

Fill

40 sec/sandwich

Toast30 sec/sandwich

Order

37.5 sec/sandwich

Wrap

236 PART 2 Designing Operations

In Example S3, how could we claim that the process time of the toaster was 20 seconds per sand- wich when it takes 40 seconds to toast a sandwich? Because we had two toasters, two sand- wiches could be toasted every 40 seconds, for an average of 1 sandwich every 20 seconds. And that time for a toaster can actually be achieved if the start times for the two are staggered (i.e., a new sandwich is placed in a toaster every 20 seconds). In that case, even though each sandwich will sit in the toaster for 40 seconds, a sandwich could emerge from one of the two toasters every 20 seconds. As we see, doubling the number of resources effectively cuts the process time in half, resulting in a doubling of the capacity of those resources.

EXAMPLE S4 � Capacity analysis with simultaneous processes

Dr. Cynthia Knott’s dentistry practice has been cleaning customers’ teeth for decades. The process for a basic dental cleaning is relatively straightforward: (1) the customer checks in (2 minutes); (2) a lab technician takes and develops four X-rays (2 and 4 minutes, respectively); (3) the dentist processes and examines the X-rays (5 minutes) while the hygienist cleans the teeth (24 minutes); (4) the dentist meets with the patient to poke at a few teeth, explain the X-ray results, and tell the patient to floss more often (8 minutes); and (5) the customer pays and books her next appointment (6 minutes). A flowchart of the customer visit is shown below.

24 min/unit

Cleaning

5 min/unit

X-ray exam4 min/unit

Develops X-ray

2 min/unit2 min/unit

Check in

6 min/unit

Check out

8 min/unit

Dentist Takes X-ray

APPROACH � With simultaneous processes, an order or a product is essentially split into differ- ent paths to be rejoined later on. To find the process time, each operation is treated separately, just as though all operations were on a sequential path. To find the process cycle time, the time over all paths must be computed, and it is the longest path.

SOLUTION � The bottleneck in this system is the hygienist, at 24 minutes per patient, resulting in an hourly system capacity of 60 minutes/24 minutes per patient = 2.5 patients. The process cycle time is the maximum of the two paths through the system. The path through the X-ray exam is 2 + 2 + 4 + 5 + 8 + 6 = 27 minutes, while the path through the hygienist is 2 + 2 + 4 + 24 + 8 + 6 = 46 minutes. Thus a patient should be out the door after 46 minutes (i.e., the maximum of 27 and 46).

INSIGHT � With simultaneous processing, all process times in the entire system are not simply added together to compute process cycle time, because some operations are occurring at the same time. Instead, the longest path through the system is deemed the process cycle time.

APPROACH � Clearly the toaster is the single slowest resource in the five-step process, but is it the bottleneck? Howard should first determine the process time of each assembly line, then the process time of the combined assembly lines, and finally the process time of the entire operation.

SOLUTION � Because each of the three assembly-line operations uses a separate resource (worker or machine), separate partially completed sandwiches can be worked on simultaneously at each station. Thus, the process time of each assembly line is the longest process time of each of the three operations. In this case, the 40-second toasting time represents the process time of each assembly line. Next, the process time of the combined assembly-line operations is 40 seconds per two sandwiches, or 20 seconds per sandwich. Therefore, the wrapping and delivering operation becomes the bottleneck for the entire customer order operation, and the system process time is 37.5 seconds—the maximum of 30, 20, and 37.5. The capacity per hour equals 3,600 seconds per hour/37.5 seconds per sandwich 96 sandwiches per hour. Finally, the process cycle time equals seconds (or 2 minutes and 22.5 seconds), assuming no waiting in line to begin with.

INSIGHT � If n parallel (redundant) operations are added, the process time of the combined oper- ation will equal times the process time of the original.

LEARNING EXERCISE � If Howard hires an additional wrapper, what will be the new hourly capacity? [Answer: The new bottleneck is now the order-taking station: Capacity 3,600 seconds per hour/30 seconds per sandwich 120 sandwiches per hour]

RELATED PROBLEMS � S7.9, S7.10, S7.11, S7.12, S7.13

= =

1>n

30 + 15 + 20 + 40 + 37.5 = 142.5 =

Supplement 7 Capacity and Constraint Management 237

Theory of constraints (TOC) A body of knowledge that deals with anything that limits an organization’s ability to achieve its goals.

2See E. M. Goldratt and J. Cox, The Goal: A Process of Ongoing Improvement, 3rd rev. ed., Great Barrington, MA: North River Press, 2004).

To summarize: (1) the system process time is the process time of the bottleneck, which is the oper- ation with the longest (slowest) process time, after dividing by the number of parallel (redundant) operations, (2) the system capacity is the inverse of the system process time, and (3) the process cycle time is the total time through the longest path in the system, assuming no waiting.

Theory of Constraints The theory of constraints (TOC) has been popularized by the book The Goal: A Process of Ongoing Improvement, by Goldratt and Cox.2 TOC is a body of knowledge that deals with any- thing that limits or constrains an organization’s ability to achieve its goals. Constraints can be physical (e.g., process or personnel availability, raw materials, or supplies) or non-physical (e.g., procedures, morale, and training). Recognizing and managing these limitations through a five- step process is the basis of TOC.

Step 1: Identify the constraints. Step 2: Develop a plan for overcoming the identified constraints. Step 3: Focus resources on accomplishing Step 2. Step 4: Reduce the effects of the constraints by offloading work or by expanding capability. Make

sure that the constraints are recognized by all those who can have an impact on them. Step 5: When one set of constraints is overcome, go back to Step 1 and identify new constraints.

The OM in Action box “Banking and the Theory of Constraints (TOC)” illustrates these five steps and shows that TOC is used in services as well as manufacturing.

Bottleneck Management A crucial constraint in any system is the bottleneck, and managers must focus significant atten- tion on it. We present four principles of bottleneck management:

1. Release work orders to the system at the pace set by the bottleneck’s capacity: The theory of constraints utilizes the concept of drum, buffer, rope to aid in the implementation of bot- tleneck and non-bottleneck scheduling. In brief, the drum is the beat of the system. It pro- vides the schedule—the pace of production. The buffer is the resource, usually inventory, which may be helpful to keep the bottleneck operating at the pace of the drum. Finally, the rope provides the synchronization or communication necessary to pull units through the sys- tem. The rope can be thought of as signals between workstations.

2. Lost time at the bottleneck represents lost capacity for the whole system: This principle implies that the bottleneck should always be kept busy with work. Well-trained and cross-trained employees and inspections prior to the bottleneck can reduce lost capacity at a bottleneck.

3. Increasing the capacity of a non-bottleneck station is a mirage: Increasing the capacity of non- bottleneck stations has no impact on the system’s overall capacity. Working faster on a non- bottleneck station may just create extra inventory, with all of its adverse effects. This implies that non-bottlenecks should have planned idle time. Extra work or setups at non-bottleneck sta- tions will not cause delay, which allows for smaller batch sizes and more frequent product changeovers at non-bottleneck stations.

4. Increasing the capacity of the bottleneck increases capacity for the whole system: Managers should focus improvement efforts on the bottleneck. Bottleneck capacity may be improved by

LEARNING EXERCISE � Suppose that the same technician now has the hygienist start imme- diately after the X-rays are taken (allowing the hygienist to start 4 minutes sooner). The technician then processes the X-rays while the hygienist is cleaning teeth. The dentist still analyzes the X-rays while the teeth cleaning is occurring. What would be the new system capacity and process cycle time? [Answer: The X-ray development/processing operation is no longer on the initial path, reducing the total patient visit duration by 4 minutes, for a process cycle time of 42 minutes (the maximum of 27 and 42). However, the hygienist is still the bottleneck, so the capacity remains at 2.5 patients per hour.]

RELATED PROBLEMS � S7.14, S7.15

238 PART 2 Designing Operations

various means, including offloading some of the bottleneck operations to another workstation (e.g., let the beer foam settle next to the tap at the bar, not under it, so the next beer can be poured), increasing capacity of the bottleneck (adding resources, working longer or working faster), subcontracting, developing alternative routings, and reducing setup times.

Even when managers have process and quality variability under control, changing technology, personnel, products, product mixes, and volumes can create multiple and shifting bottlenecks. Identifying and managing bottlenecks is a required operations task, but by definition, bottlenecks cannot be “eliminated.” A system will always have at least one.

BREAK-EVEN ANALYSIS Break-even analysis is the critical tool for determining the capacity a facility must have to achieve profitability. The objective of break-even analysis is to find the point, in dollars and units, at which costs equal revenue. This point is the break-even point. Firms must operate above this level to achieve profitability. As shown in Figure S7.5, break-even analysis requires an estimation of fixed costs, variable costs, and revenue.

Break-even analysis A means of finding the point, in dollars and units, at which costs equal revenues.

0 Volume (units per period)

C o st

( d o lla

rs ) Break-even point:

Total cost = Total revenue

100

200

300

400

500

600

700

800

900

100 200 300 400 500 600 700 800 900 1000 1100

Total revenue line

Total cost line

Fixed cost

Variable cost

Pr ofi

t C or

rid or

Lo ss

Co rri

do r

� FIGURE S7.5 Basic Break-Even Point

AUTHOR COMMENT Failure to operate above

break-even can be devastating.

When a Midwestern U.S. bank identified its weakest link as the mortgage department, with a home-loan processing time of over a month, it turned to the principles of TOC to reduce the average loan time. A cross-functional mortgage improvement team of eight people employed the five steps outlined in the text. Using flowcharting, the team discovered that it was taking too long to (1) conduct property appraisals and surveys and (2) verify applicant employment. So the first step of TOC was to identify these two constraints.

The second step in TOC was to develop a plan to reduce the time taken for employment verification and for conducting appraisals and surveys. The team learned that it could reduce employment verification to 2 weeks by having the loan officer request the last 2 years of W-2 forms and the last month’s pay stub. It found similar solutions to reducing survey/appraisal time.

As a third step, it had personnel refocus their resources so the two constraints could be performed at a higher level of efficiency. The result was decreased operating expense and inventory (money, in this banking example) and increased throughput.

The fourth TOC step required that employees support the earlier steps by focusing on the two time constraints. The bank also placed a higher priority on verification so that constraint could be overcome.

Finally, the bank began to look for new constraints once the first ones were overcome. Like all continuing improvement efforts, the process starts over before complacency sets in.

Sources: Decision Support Systems (March 2001): 451–468; The Banker’s Magazine (January–February 1997): 53–59; and Bank Systems and Technology (September 1999): S10.

OM in Action � Banking and the Theory of Constraints (TOC)

Supplement 7 Capacity and Constraint Management 239

Fixed costs are costs that continue even if no units are produced. Examples include deprecia- tion, taxes, debt, and mortgage payments. Variable costs are those that vary with the volume of units produced. The major components of variable costs are labor and materials. However, other costs, such as the portion of the utilities that varies with volume, are also variable costs. The dif- ference between selling price and variable cost is contribution. Only when total contribution exceeds total fixed cost will there be profit.

Another element in break-even analysis is the revenue function. In Figure S7.5, revenue begins at the origin and proceeds upward to the right, increasing by the selling price of each unit. Where the revenue function crosses the total cost line (the sum of fixed and vari- able costs), is the break-even point, with a profit corridor to the right and a loss corridor to the left.

Assumptions A number of assumptions underlie the basic break-even model. Notably, costs and revenue are shown as straight lines. They are shown to increase linearly—that is, in direct proportion to the volume of units being produced. However, neither fixed costs nor variable costs (nor, for that matter, the revenue function) need be a straight line. For example, fixed costs change as more capital equipment or warehouse space is used; labor costs change with overtime or as marginally skilled workers are employed; the revenue function may change with such fac- tors as volume discounts.

Graphic Approach The first step in the graphic approach to break-even analysis is to define those costs that are fixed and sum them. The fixed costs are drawn as a horizontal line beginning at that dollar amount on the vertical axis. The variable costs are then estimated by an analysis of labor, materials, and other costs connected with the production of each unit. The variable costs are shown as an incrementally increasing cost, originating at the intersection of the fixed cost on the vertical axis and increasing with each change in volume as we move to the right on the vol- ume (or horizontal) axis.

Algebraic Approach The formulas for the break-even point in units and dollars are shown below. Let:

The break-even point occurs where total revenue equals total costs. Therefore:

Solving for x, we get

and:

Using these equations, we can solve directly for break-even point and profitability. The two break-even formulas of particular interest are:

(S7-4)

(S7-5)Break-even in dollars = Total fixed cost

1 - Variable cost

Selling price

Break-even in units = Total fixed cost

Price - Variable cost

Profit = TR - TC = Px - 1F + Vx2 = Px - F - Vx = 1P - V2x - F

Break-even point in dollars 1BEP$2 = BEPxP = F

P - V P =

F

1P - V2>P =

F

1 - V>P

Break-even point in units (BEPx) = F

P - V

TR = TC or Px = F + Vx

x = number of units produced TC = total costs = F + Vx P = price per unit (after all discounts) V = variable costs per unit

BEP$ = break-even point in dollars F = fixed costs BEPx = break-even point in units TR = total revenue = Px

LO4: Compute break-even

240 PART 2 Designing Operations

EXAMPLE S5 � Single product break-even analysis

Stephens, Inc., wants to determine the minimum dollar volume and unit volume needed at its new facil- ity to break even.

APPROACH � The firm first determines that it has fixed costs of $10,000 this period. Direct labor is $1.50 per unit, and material is $.75 per unit. The selling price is $4.00 per unit.

SOLUTION � The break-even point in dollars is computed as follows:

The break-even point in units is:

Note that we use total variable costs (that is, both labor and material).

INSIGHT � The management of Stevens, Inc., now has an estimate in both units and dollars of the volume necessary for the new facility.

LEARNING EXERCISE � If Stevens finds that fixed cost will increase to $12,000, what hap- pens to the break-even in units and dollars? [Answer: The break-even in units increases to 6,857, and break-even in dollars increases to $27,428.57.]

RELATED PROBLEMS � S7.16, S7.17, S7.18, S7.19, S7.20, S7.21, S7.22, S7.23, S7.24, S7.25

EXCEL OM Data File Ch07SExS3.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL S7.2 This example is further illustrated in Active Model S7.2 at www.pearsonhighered.com/heizer.

BEPx = F

P - V =

$10,000

4.00 - 11.50 + .752 = 5,714

BEP$ = F

1 - 1V>P2 =

$10,000 1 - 311.50 + .752>14.0024

= $10,000

.4375 = $22,857.14

Multiproduct Case Most firms, from manufacturers to restaurants (even fast-food restaurants), have a variety of offerings. Each offering may have a different selling price and variable cost. Utilizing break- even analysis, we modify Equation (S7-5) to reflect the proportion of sales for each product.

Single-Product Case In Example S5, we determine the break-even point in dollars and units for one product.

Recessions (e.g., 2008— 2010) and terrorist attacks (e.g., September 11, 2001) can make even the best capacity decision for an airline look bad. And excess capacity for an airline can be very expensive, with storage costs running as high as $60,000 per month per aircraft. Here, as a testimonial to excess capacity, aircraft sit idle in the Mojave Desert.

Supplement 7 Capacity and Constraint Management 241

Paper machines such as the one shown here require a high capital investment. This investment results in a high fixed cost but allows production of paper at a very low variable cost. The production manager’s job is to maintain utilization above the break-even point to achieve profitability.

Le Bistro, like most other resturants, makes more than one product and would like to know its break- even point in dollars.

APPROACH � Information for Le Bistro follows. Fixed costs are $3,000 per month.

With a variety of offerings, we proceed with break-even analysis just as in a single-product case, except that we weight each of the products by its proportion of total sales using Equation (S7.6).

SOLUTION � Multiproduct Break-even: Determining Contribution

Item Price Cost Annual Forecasted

Sales Units

Sandwich $5.00 $3.00 9,000 Drinks 1.50 .50 9,000 Baked potato 2.00 1.00 7,000

� EXAMPLE S6 Multiproduct break-even analysis

We do this by “weighting” each product’s contribution by its proportion of sales. The formula is then:

(S7-6)

where V variable cost per unit P price per unit F fixed cost=

= =

Break-even point in dollars (BEP$) = F

aBa1 - ViPib * 1Wi2R

1 2 3 4 5 6 7 8

Item (i) Selling

Price (P) Variable Cost (V) (V/P) 1 - (V/P)

Annual Forecasted

Sales $ % of Sales

Weighted Contribution

(col. 5 col. 7):

Sandwich $5.00 $3.00 .60 .40 $45,000 .621 .248 Drinks 1.50 0.50 .33 .67 13,500 .186 .125 Baked potato 2.00 1.00 .50 .50 14,000 .193 .096

$72,500 1.000 .469

W percent each product is of total dollar sales i each product= =

Example S6 shows how to determine the break-even point for the multiproduct case at the Le Bistro restaurant.

242 PART 2 Designing Operations

Note: Revenue for sandwiches is $45,000 ( ), which is 62.1% of the total revenue of $72,500. Therefore, the contribution for sandwiches is “weighted” by .621. The weighted contribution is In this manner, its relative contribution is properly reflected.

Using this approach for each product, we find that the total weighted contribution is .469 for each dollar of sales, and the break-even point in dollars is $76,759.

The information given in this example implies total daily sales (52 weeks at 6 days each) of:

INSIGHT � The management of Le Bistro now knows that it must generate average sales of $246.02 each day to break even. Management also knows that if the forecasted sales of $72,500 are correct, Le Bistro will lose money, as break-even is $76,759.

LEARNING EXERCISE � If the manager of Le Bistro wants to make an additional $1,000 per month in salary, and considers this a fixed cost, what is the new break-even point in average sales per day? [Answer: $328.03.]

RELATED PROBLEMS � S7.26, S7.27

$76,759

312 days = $246.02

BEP$ = F

aBa1 - ViPib * 1Wi2R = $3,000 * 12.469 = $36,000.469 = $76,759. .621 * .40 = .248.

5.00 * 9,000

Break-even figures by product provide the manager with added insight as to the realism of his or her sales forecast. They indicate exactly what must be sold each day, as we illustrate in Example S7.

EXAMPLE S7 � Unit sales at break-even

Le Bistro also wants to know the break-even for the number of sandwiches that must be sold every day.

APPROACH � Using the data in Example S6, we take the forecast sandwich sales of 62.1% times the daily break-even of $246.02 divided by the selling price of each sandwich ($5.00).

SOLUTION � At break-even, sandwich sales must then be:

INSIGHT � With knowledge of individual product sales, the manager has a basis for determining material and labor requirements.

LEARNING EXERCISE � At a dollar break-even of $328.03 per day, how many sandwiches must Le Bistro sell each day? [Answer: 40.]

RELATED PROBLEMS � S7.26b, S7.27b

.621 * $246.02 5.00

= Number of sandwiches = 30.6 L 31 sandwiches each day

VIDEO S7.1 Capacity Planning at Arnold

Palmer Hospital

AUTHOR COMMENT Capacity decisions require

matching capacity to forecasts, which is

always difficult.

Once break-even analysis has been prepared, analyzed, and judged to be reasonable, decisions can be made about the type and capacity of equipment needed. Indeed, a better judgment of the likelihood of success of the enterprise can now be made.

REDUCING RISK WITH INCREMENTAL CHANGES When demand for goods and services can be forecast with a reasonable degree of precision, determining a break-even point and capacity requirements can be rather straightforward. But, more likely, determining the capacity and how to achieve it will be complicated, as many factors are difficult to measure and quantify. Factors such as technology, competitors, building restric- tions, cost of capital, human resource options, and regulations make the decision interesting. To complicate matters further, demand growth is usually in small units, while capacity additions are

Supplement 7 Capacity and Constraint Management 243 D

e m

a n

d

1 2 3

Time (periods)

New capacity

Expected demand

(a) Leading Strategy Management leads capacity in periodic increments. Management could also add enough capacity in one period to handle expected demand for multiple periods.

(b) Lag Strategy Here management lags (chases) demand.

(c) Straddle Strategy Here management uses average capacity increments to straddle demand.

D e

m a

n d

1 2 3

Time (periods)

New capacity

Expected demand

New capacity

D e

m a

n d

1 2 3

Time (periods)

Expected demand

� FIGURE S7.6 Approaches to Capacity Expansion

LO5: Determine expected monetary value of a capacity decision

AUTHOR COMMENT Uncertainty in capacity decisions makes EMV a

helpful tool.

likely to be both instantaneous and in large units. This contradiction adds to the capacity decision risk. To reduce risk, incremental changes that hedge demand forecasts may be a good option. Figure S7.6 illustrates three approaches to new capacity.

Alternative Figure S7.6(a) leads capacity—that is, acquires capacity to stay ahead of demand, with new capacity being acquired at the beginning of period 1. This capacity handles increased demand, until the beginning of period 2. At the beginning of period 2, new capacity is again acquired, which will allow the organization to stay ahead of demand until the beginning of period 3. This process can be continued indefinitely into the future. Here capacity is acquired incrementally—at the beginning of period 1 and at the beginning of period 2. But managers can also elect to make a larger increase at the beginning of period 1—an increase that may satisfy expected demand until the beginning of period 3.

Excess capacity gives operations managers flexibility. For instance, in the hotel industry, added (extra) capacity in the form of rooms can allow a wider variety of room options and per- haps flexibility in room cleanup schedules. In manufacturing, excess capacity can be used to do more setups, shorten production runs, and drive down inventory costs.

But Figure S7.6(b) shows an option that lags capacity, perhaps using overtime or subcontract- ing to accommodate excess demand. Figure S7.6(c) straddles demand by building capacity that is “average,” sometimes lagging demand and sometimes leading it. Both the lag and straddle option have the advantage of delaying capital expenditure.

In cases where the business climate is stable, deciding between alternatives can be relatively easy. The total cost of each alternative can be computed, and the alternative with the least total cost can be selected. However, when capacity requirements are subject to significant unknowns, “probabilistic” models may be appropriate. One technique for making successful capacity plan- ning decisions with an uncertain demand is decision theory, including the use of expected mone- tary value.

APPLYING EXPECTED MONETARY VALUE (EMV) TO CAPACITY DECISIONS Determining expected monetary value (EMV) requires specifying alternatives and various states of nature. For capacity planning situations, the state of nature usually is future demand or market favorability. By assigning probability values to the various states of nature, we can make decisions that maximize the expected value of the alternatives. Example S8 shows how to apply EMV to a capacity decision.

AUTHOR COMMENT An operations manager may

be held responsible for return on investment (ROI).

244 PART 2 Designing Operations

APPLYING INVESTMENT ANALYSIS TO STRATEGY-DRIVEN INVESTMENTS Once the strategy implications of potential investments have been considered, tradi- tional investment analysis is appropriate. We introduce the investment aspects of capacity next.

Investment, Variable Cost, and Cash Flow Because capacity and process alternatives exist, so do options regarding capital investment and variable cost. Managers must choose from among different financial options as well as capacity and process alternatives. Analysis should show the capital investment, variable cost, and cash flows as well as net present value for each alternative.

Net Present Value Determining the discount value of a series of future cash receipts is known as the net present value technique. By way of introduction, let us consider the time value of money. Say you invest $100.00 in a bank at 5% for 1 year. Your investment will be worth $100.00 + ($100.00)(.05) = $105.00. If you invest the $105.00 for a second year, it will be worth $105.00 + ($105.00)(.05) = $110.25 at the end of the second year. Of course, we could calculate the future value of $100.00 at 5% for as many years as we wanted by simply extending this analysis. However, there is an easier way to express this relationship mathematically. For the first year:

$105 = $10011 + .052

Net present value A means of determining the discounted value of a series of future cash receipts.

Southern Hospital Supplies, a company that makes hospital gowns, is considering capacity expansion.

APPROACH � Southern’s major alternatives are to do nothing, build a small plant, build a medium plant, or build a large plant. The new facility would produce a new type of gown, and currently the potential or marketability for this product is unknown. If a large plant is built and a favorable market exists, a profit of $100,000 could be realized. An unfavorable market would yield a $90,000 loss. However, a medium plant would earn a $60,000 profit with a favorable market. A $10,000 loss would result from an unfavorable market. A small plant, on the other hand, would return $40,000 with favorable market conditions and lose only $5,000 in an unfavorable market. Of course, there is always the option of doing nothing.

Recent market research indicates that there is a .4 probability of a favorable market, which means that there is also a .6 probability of an unfavorable market. With this information, the alternative that will result in the highest expected monetary value (EMV) can be selected.

SOLUTION � Compute the EMV for each alternative:

Based on EMV criteria, Southern should build a medium plant.

INSIGHT � If Southern makes many decisions like this, then determining the EMV for each alter- native and selecting the highest EMV is a good decision criterion.

LEARNING EXERCISE � If a new estimate of the loss from a medium plant in an unfavorable market increases to –$20,000 what is the new EMV for this alternative? [Answer: $12,000, which changes the decision because the small plant EMV is now higher.]

RELATED PROBLEMS � S7.28, S7.29.

EMV 1do nothing2 = $0 EMV (small plant) = 1.421$40,0002 + 1.621- $5,0002 = + $13,000

EMV (medium plant) = 1.421$60,0002 + 1.621- $10,0002 = + $18,000 EMV (large plant) = 1.421$100,0002 + 1.621- $90,0002 = - $14,000

EXAMPLE S8 � EMV applied to capacity decision

Supplement 7 Capacity and Constraint Management 245

For the second year:

In general:

(S7-7)

where

In most investment decisions, however, we are interested in calculating the present value of a series of future cash receipts. Solving for P, we get:

(S7-8)

When the number of years is not too large, the preceding equation is effective. However, when the number of years, N, is large, the formula is cumbersome. For 20 years, you would have to compute

Without a sophisticated calculator, this computation would be difficult. Interest-rate tables, such as Table S7.1, alleviate this situation. First, let us restate the present value equation:

(S7-9)

where factor from Table S7.1 defined as and

Thus, all we have to do is find the factor X and multiply it by F to calculate the present value, P. The factors, of course, are a function of the interest rate, i, and the number of years, N. Table S7.1 lists some of these factors.

Equations (S7-8) and (S7-9) are used to determine the present value of one future cash amount, but there are situations in which an investment generates a series of uniform and equal cash amounts. This type of investment is called an annuity. For example, an investment might yield $300 per year for 3 years. Easy-to-use factors have been developed for the present value of annuities. These factors are shown in Table S7.2. The basic relationship is

where X = factor from Table S7.2 S = present value of a series of uniform annual receipts R = receipts that are received every year for the life of the investment (the annuity)

S = RX

F = future value= 1>11 + i2NX = a

P = F

11 + i2N = FX

11 + i220.

P = F

11 + i2N

N = number of years 1such as 1 year or 2 years2 i = interest rate 1such as .052 P = present value 1such as $100.002 F = future value 1such as $110.25 or $1052

F = P11 + i2N

$110.25 = $10511 + .052 = $10011 + .0522

LO6: Compute net present value

Year 6% 8% 10% 12% 14% � TABLE S7.1 Present Value of $1

1 .943 .926 .909 .893 .877 2 .890 .857 .826 .797 .769 3 .840 .794 .751 .712 .675 4 .792 .735 .683 .636 .592 5 .747 .681 .621 .567 .519 6 .705 .630 .564 .507 .456 7 .665 .583 .513 .452 .400 8 .627 .540 .467 .404 .351 9 .592 .500 .424 .361 .308

10 .558 .463 .386 .322 .270 15 .417 .315 .239 .183 .140 20 .312 .215 .149 .104 .073

246 PART 2 Designing Operations

The present value of a uniform annual series of amounts is an extension of the present value of a single amount, and thus Table S7.2 can be directly developed from Table S7.1. The factors for any given interest rate in Table S7.2 are the cumulative sum of the values in Table S7.1. In Table S7.1, for example, .943, .890, and .840 are the factors for years 1, 2, and 3 when the interest rate is 6%. The cumulative sum of these factors is 2.673. Now look at the point in Table S7.2 where the interest rate is 6% and the number of years is 3. The factor for the present value of an annu- ity is 2.673, as you would expect.

Example S9 shows how to determine the present value of an annuity.

EXAMPLE S9 � Determining net present value of future receipts of equal value

River Road Medical Clinic is thinking of investing in a sophisticated new piece of medical equipment. It will generate $7,000 per year in receipts for 5 years.

APPROACH � Determine the present value of this cash flow; assume an interest rate of 6%.

SOLUTION � The factor from Table S7.2 (4.212) is obtained by finding that value when the inter- est rate is 6% and the number of years is 5:

INSIGHT � There is another way of looking at this example. If you went to a bank and took a loan for $29,484 today, your payments would be $7,000 per year for 5 years if the bank used an interest rate of 6% compounded yearly. Thus, $29,484 is the present value.

LEARNING EXERCISE � If the interest rate is 8%, what is the present value? [Answer: $27,951.]

RELATED PROBLEMS � S7.30, S7.31, S7.32, S7.33, S7.34, S7.35

EXCEL OM Data File Ch07SExS9.xls can be found at www.pearsonhighered.com/heizer.

S = RX = $7,00014.2122 = $29,484

The net present value method is straightforward: You simply compute the present value of all cash flows for each investment alternative. When deciding among investment alternatives, you pick the investment with the highest net present value. Similarly, when making several invest- ments, those with higher net present values are preferable to investments with lower net present values.

Solved Problem S7.4 shows how to use the net present value to choose between investment alternatives.

Although net present value is one of the best approaches to evaluating investment alter- natives, it does have its faults. Limitations of the net present value approach include the following:

1. Investments with the same net present value may have significantly different projected lives and different salvage values.

2. Investments with the same net present value may have different cash flows. Different cash flows may make substantial differences in the company’s ability to pay its bills.

�TABLE S7.2 Present Value of an Annuity of $1

Year 6% 8% 10% 12% 14% 1 .943 .926 .909 .893 .877 2 1.833 1.783 1.736 1.690 1.647 3 2.673 2.577 2.487 2.402 2.322 4 3.465 3.312 3.170 3.037 2.914 5 4.212 3.993 3.791 3.605 3.433 6 4.917 4.623 4.355 4.111 3.889 7 5.582 5.206 4.868 4.564 4.288 8 6.210 5.747 5.335 4.968 4.639 9 6.802 6.247 5.759 5.328 4.946

10 7.360 6.710 6.145 5.650 5.216 15 9.712 8.559 7.606 6.811 6.142 20 11.470 9.818 8.514 7.469 6.623

Supplement 7 Capacity and Constraint Management 247

SUPPLEMENT SUMMARY Managers tie equipment selection and capacity decisions to the organization’s missions and strategy. Four addi- tional considerations are critical: (1) accurately forecast- ing demand; (2) understanding the equipment, processes, and capacity increments; (3) finding the optimum operat- ing size; and (4) ensuring the flexibility needed for adjust- ments in technology, product features and mix, and volumes.

Techniques that are particularly useful to operations man- agers when making capacity decisions include good fore- casting, bottleneck analysis, break-even analysis, expected monetary value, cash flow, and net present value (NPV).

The single most important criterion for investment deci- sions is the contribution to the overall strategic plan and the winning of profitable orders. Successful firms select the cor- rect process and capacity.

Key Terms

Capacity (p. 228) Design capacity (p. 228) Effective capacity (p. 229) Utilization (p. 229) Efficiency (p. 229)

Capacity analysis (p. 234) Bottleneck (p. 234) Process time of a station (p. 235) Process time of a system (p. 235) Process cycle time (p. 235)

Theory of constraints (TOC) (p. 237) Break-even analysis (p. 238) Net present value (p. 244)

Using Software for Break-Even Analysis

Excel, Excel OM, and POM for Windows all handle break-even and cost–volume analysis problems.

Using Excel It is a straightforward task to develop the formulas to do a break-even analysis in Excel. Although we do not demonstrate the basics here, Active Model S7.2 provides a working example. You can see similar spreadsheet analysis in the Excel OM preprogrammed software that accompanies this text.

X Using Excel OM Excel OM’s Break-Even Analysis module provides the Excel formulas needed to compute the break- even points, and the solution and graphical output.

P Using POM for Windows Similar to Excel OM, POM for Windows also contains a break-even/cost–volume analysis module.

3. The assumption is that we know future interest rates, which we do not. 4. Payments are always made at the end of the period (week, month, or year), which is not

always the case.

� SOLVED PROBLEM S7.1 Sara James Bakery, described in Examples S1 and S2, has decided to increase its facilities by adding one additional process line. The firm will have two process lines, each working 7 days a week, 3 shifts per day, 8 hours per shift, with effective capacity of 300,000 rolls. This addition, however, will reduce overall system efficiency to 85%. Compute the expected production with this new effective capacity.

� SOLUTION

= 255,000 rolls per week = 300,0001.852

Expected production = 1Effective capacity21Efficiency2

Solved Problems Virtual Office Hours help is available at www.myomlab.com

248 PART 2 Designing Operations

1 2 3 4 5 6 7 8 9

Selling Price (P)

Variable Cost (V)

Percent Variable

Cost (V/P) Contribution

1 - (V/P)

Estimated Quantity of Sales Units

(sales) Dollar Sales ( )sales : P

Percent of

Sales

Contribution Weighted by Percent Sales

(col. 5 col. 8):

Tickets with Dinner $22.50 $10.50 0.467 0.533 175 $3,938 0.741 0.395 Drinks $ 5.00 $ 1.75 0.350 0.650 175 $ 875 0.165 0.107 Parking $ 5.00 $ 2.00 0.400 0.600 100 $ 500 0.094 0.056

450 $5,313 1.000 0.558

Machine A Machine B

Original cost $13,000 $20,000

Labor cost per year 2,000 3,000 Floor space per year 500 600 Energy (electricity) per year 1,000 900 Maintenance per year 2,500 500 Total annual cost $ 6,000 $ 5,000 Salvage value $ 2,000 $ 7,000

� SOLVED PROBLEM S7.2 Marty McDonald has a business packaging software in Wisconsin. His annual fixed cost is $10,000, direct labor is $3.50 per package, and material is $4.50 per package. The selling price will be $12.50 per package. What is the break-even point in dollars? What is break-even in units?

� SOLUTION

BEPx = F

P - V =

$10,000

$12.50 - $8.00 =

$10,000

$4.50 = 2,222 units

BEP$ = F

1 - 1V>P2 =

$10,000

1 - 1$8.00>$12.502 =

$10,000

.36 = $27,777

� SOLVED PROBLEM S7.3 John has been asked to determine whether the $22.50 cost of tickets for the community dinner theater will allow the group to achieve break-even and whether the 175 seating capacity is adequate. The cost for each performance of a 10-performance run is $2,500. The facility rental cost for the entire 10 performances is $10,000. Drinks and parking are extra charges and have their own price and variable costs, as shown below:

� SOLUTION

Revenue for each performance (from column 7) Total forecasted revenue for the 10 performances Forecasted revenue with this mix of sales shows a break-even of $62,724

Thus, given this mix of costs, sales, and capacity John determines that the theater will not break even.

= 110 * $5,3132 = $53,130 = $5,313

BEP$ = F

aC£1 - ViPi≥ * 1Wi2S = $110 * 2,5002 + $10,0000.558 = $35,0000.558 = $62,724 � SOLVED PROBLEM S7.4 Your boss has told you to evaluate the cost of two machines. After some questioning, you are assured that they have the costs shown at the right. Assume:

a) The life of each machine is 3 years, and b) The company thinks it knows how to make 14% on investments

no riskier than this one.

Determine via the present value method which machine to purchase.

� SOLUTION

Machine A Machine B

Column 1 Column 2 Column 3 Column 4 Column 5 Column 6

Now Expense 1.000 $13,000 $13,000 1.000 $20,000 $20,000 1 yr. Expense .877 6,000 5,262 .877 5,000 4,385 2 yr. Expense .769 6,000 4,614 .769 5,000 3,845 3 yr. Expense .675 6,000 4,050 .675 5,000 3,375

$26,926 $31,605 3 yr. Salvage Revenue .675 $ 2,000 - 1,350 .675 $ 7,000 –4,725

$25,576 $26,880

Supplement 7 Capacity and Constraint Management 249

We use 1.0 for payments with no discount applied against them (that is, when payments are made now, there is no need for a dis- count). The other values in columns 1 and 4 are from the 14% column and the respective year in Table S7.1 (for example, the intersection of 14% and 1 year is .877, etc.). Columns 3 and 6 are the products of the present value figures times the combined costs. This computation is made for each year and for the sal- vage value.

The calculation for machine A for the first year is:

The salvage value of the product is subtracted from the summed costs, because it is a receipt of cash. Since the sum of the net costs for machine B is larger than the sum of the net costs for machine A, machine A is the low-cost purchase, and your boss should be so informed.

.877 * 1$2,000 + $500 + $1,000 + $2,5002 = $5,262

� SOLVED PROBLEM S7.5 T. Smunt Manufacturing Corp. has the process displayed below. The drilling operation occurs separately from and simultaneously with the sawing and sanding operations. The product only needs to go through one of the three assembly operations (the assembly operations are “parallel”).

a. Which operation is the bottleneck? b. What is the system’s process time? c. What is the process cycle time for the overall system?

d. If the firm operates 8 hours per day, 22 days per month, what is the monthly capacity of the manufacturing process?

e. Suppose that a second drilling machine is added, and it has the same process time as the original drilling machine. What is the new process time of the system?

f. Suppose that a second drilling machine is added, and it has the same process time as the original drilling machine. What is the new process cycle time?

15 min/unit

Sanding

27 min/unit

Drilling

15 min/unit

Sawing 78 min/unit

Assembly

78 min/unit

Assembly

78 min/unit

Assembly

25 min/unit

Welding

� SOLUTION a. The process time of Assembly is 78 minutes/3 operators = 26 minutes per unit, so the station with the longest process time, hence the

bottleneck, is Drilling, at 27 minutes. b. The system’s process time is 27 minutes per unit (the longest process, Drilling). c. System process cycle time is the maximum of (15 + 15 + 25 + 78), (27 + 25 + 78) = maximum of (133, 130) = 133 minutes d.

e. The bottleneck shifts to assembly, with a process time of 26 minutes per unit. f. Redundancy does not affect process cycle time. It is still 133 minutes.

391.11 units>month. Monthly capacity = 160 minutes218 hours2122 days2>27 minutes per unit = 10,560 minutes per month >27 minutes per unit =

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Southwestern University D: Requires the development of a multiproduct break-even solution.

250 PART 2 Designing Operations

Bibliography

Anupindi, Ravi, S. Deshmukh, and S. Chopra. Managing Business Process Flows, 2nd ed. Upper Saddle River, NJ: Prentice Hall (2007).

Atamturk, A., and D. S. Hochbaum. “Capacity Acquisition, Subcontracting, and Lot-Sizing.” Management Science 47, no. 8 (August 2001): 1081–1100.

Bowers, John, et al. “Modeling Outpatient Capacity for a Diagnosis and Treatment Center.” Health Care Management Science 8, no. 3 (August 2005): 205.

Brandl, Dennis. “Capacity and Constraints.” Control Engineering (February 2008): 24.

Chambers, Chester, Eli M. Snir, and Asad Ata. “The Use of Flexible Manufacturing Capacity in Pharmaceutical Product Introductions.” Decision Sciences 40, no. 2 (May 2009): 243–268.

Cheng, H. K., K. Dogan, and R. A. Einicki. “Pricing and Capacity Decisions for Non-Profit Internet Service Providers.” Information Technology and Management 7, no. 2 (April 2006): 91.

Goldratt, Eliyaha. The Choice. Great Barrington, MA: North River Press (2009).

Goodale, John C., Rohit Verma, and Madeleine E. Pullman. “A Market Utility-Based Model for Capacity Scheduling in Mass

Services.” Production and Operations Management 12, no. 2 (Summer 2003): 165–185.

Gupta, M. C., and L. H. Boyd. “Theory of Constraints: A Theory for Operations Management.” International Journal of Operations Management 28, no. 10 (2008): 991.

Jack, Eric P., and Amitabh S. Raturi. “Measuring and Comparing Volume Flexibility in the Capital Goods Industry.” Production and Operations Management 12, no. 4 (Winter 2003): 480–501.

Jonsson, Patrik, and Stig-Arne Mattsson. “Use and Applicability of Capacity Planning Methods.” Production and Inventory Management Journal (3rd/4th Quarter 2002): 89–95.

Kekre, Sunder, et al. “Reconfiguring a Remanufacturing Line at Visteon, Mexico.” Interfaces 33, no. 6 (November–December 2003): 30–43.

Tibben-Lembke, Ronald S. “Theory of Constraints at UniCo.” International Journal of Production Research 47, no. 7 (January 2009): 1815.

Watson, Kevin J., John H. Blackstone, and Stanley C. Gardiner. “The Evolution of a Management Philosophy: The Theory of Constraints.” Journal of Operations Management 25, no. 2 (March 2007): 387–402.

Location Strategies

Chapter Outline

GLOBAL COMPANY PROFILE: FEDEX

The Strategic Importance of Location 254

Factors That Affect Location Decisions 255

Methods of Evaluating Location Alternatives 259

Service Location Strategy 264

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

251

GLOBAL COMPANY PROFILE: FEDEX

LOCATION PROVIDES COMPETITIVE ADVANTAGE FOR FEDEX

O vernight-delivery powerhouse FedEx has

believed in the hub concept for its 40-year

existence. Even though Fred Smith, founder

and CEO, got a C on his college paper

proposing a hub for small-package delivery, the idea

has proven extremely successful. Starting with a hub

in Memphis, Tennessee (now called its superhub), the

$38 billion firm has added a European hub in Paris, an

Asian hub in Guangzhou, China, a Latin American hub

in Miami, and a Canadian hub in Toronto. FedEx’s fleet

of 672 planes flies into 375 airports worldwide, then

delivers to the door with more than 80,000 vans and

trucks.

Why was Memphis picked as FedEx’s central

location? (1) It is located in the middle of the U.S.

(2) It has very few hours of bad weather closures,

perhaps contributing to the firm’s excellent flight-safety

record.

Each night, except Sunday, FedEx brings to

Memphis packages from throughout the world that are

going to cities for which FedEx does not have direct

flights. The central hub permits service to a far greater

At the FedEx hub in Memphis, Tennessee, approximately 100 FedEx aircraft converge each night around midnight with more than 5 million documents and packages.

252

At the preliminary sorting area, packages and documents are sorted and sent to a secondary sorting area. The Memphis facility covers 1.5 million square feet; it is big enough to hold 33 football fields. Packages are sorted and exchanged until 4 A.M.

Packages and documents that have already gone through the primary and secondary sorts are checked by city, state, and zip code. They are then placed in containers that are loaded onto aircraft for delivery to their final destinations in 215 countries.

FedEx’s fleet of 672 planes makes it the largest airline in the world. Over 80,000 trucks complete the delivery process.

The $150 million hub opened in Guangzhou in 2009 lies in the heart of one of China’s fastest-growing manufacturing districts. FedEx controls 39% of the China-to-U.S. air express market.

number of points with fewer aircraft than the traditional

City A–to–City B system. It also allows FedEx to match

aircraft flights with package loads each night and to

reroute flights when load volume requires it, a major

cost savings. Moreover, FedEx also believes that the

central hub system helps reduce mishandling and

delay in transit because there is total control over the

packages from pickup point through delivery.

FEDEX �

253

254 PART 2 Designing Operations

THE STRATEGIC IMPORTANCE OF LOCATION World markets continue to expand, and the global nature of business is accelerating. Indeed, one of the most important strategic decisions made by many companies, including FedEx, Mercedes- Benz, and Hard Rock, is where to locate their operations. When FedEx opened its Asian hub in Guangzhou, China, in 2009, it set the stage for “round-the-world” flights linking its Paris and Memphis package hubs to Asia. When Mercedes-Benz announced its plans to build its first major overseas plant in Vance, Alabama, it completed a year of competition among 170 sites in 30 states and two countries. When Hard Rock Cafe opened in Moscow, it ended 3 years of advance preparation of a Russian food-supply chain. The strategic impact, cost, and international aspect of these decisions indicate how significant location decisions are.

Firms throughout the world are using the concepts and techniques of this chapter to address the location decision because location greatly affects both fixed and variable costs. Location has a major impact on the overall risk and profit of the company. For instance, depending on the product and type of production or service taking place, transportation costs alone can total as much as 25% of the product’s selling price. That is, one-fourth of a firm’s total revenue may be needed just to cover freight expenses of the raw materials coming in and finished products going out. Other costs that may be influenced by location include taxes, wages, raw material costs, and rents. When all costs are considered, location may alter total operating expenses as much as 50%.

Companies make location decisions relatively infrequently, usually because demand has out- grown the current plant’s capacity or because of changes in labor productivity, exchange rates, costs, or local attitudes. Companies may also relocate their manufacturing or service facilities because of shifts in demographics and customer demand.

Location options include (1) expanding an existing facility instead of moving, (2) maintaining current sites while adding another facility elsewhere, or (3) closing the existing facility and mov- ing to another location.

The location decision often depends on the type of business. For industrial location decisions, the strategy is usually minimizing costs, although innovation and creativity may also be critical. For retail and professional service organizations, the strategy focuses on maximizing revenue. Warehouse location strategy, however, may be driven by a combination of cost and speed of delivery. The objective of location strategy is to maximize the benefit of location to the firm.

Location and Costs Because location is such a significant cost and revenue driver, location often has the power to make (or break) a company’s business strategy. Key multinationals in every major industry, from automobiles to cellular phones, now have or are planning a presence in each of their major markets. Location decisions to support a low-cost strategy require particu- larly careful consideration.

Once management is committed to a specific location, many costs are firmly in place and dif- ficult to reduce. For instance, if a new factory location is in a region with high energy costs, even good management with an outstanding energy strategy is starting at a disadvantage. Management is in a similar bind with its human resource strategy if labor in the selected location is expensive, ill-trained, or has a poor work ethic. Consequently, hard work to determine an optimal facility location is a good investment.

Location and Innovation When creativity, innovation, and research and development investments are critical to the operations strategy, the location criteria may change from a focus on costs. When innovation is the focus, four attributes seem to affect overall competitiveness as well as innovation:1

VIDEO 8.1 Hard Rock’s Location Selection

1See Michael E. Porter and Scott Stern, “Innovation: Location Matters,” MIT Sloan Management Review 42, no. 4 (Summer 2001): 28–36.

Chapter 8 Learning Objectives LO1: Identify and explain seven major factors

that affect location decisions 256

LO2: Compute labor productivity 256

LO3: Apply the factor-rating method 260

LO4: Complete a locational break-even analysis graphically and mathematically 261

LO5: Use the center-of-gravity method 262

LO6: Understand the differences between service- and industrial-sector location analysis 266

AUTHOR COMMENT This chapter illustrates

techniques organizations use to locate plants, warehouses,

stores, or offices.

Chapter 8 Location Strategies 255

• The presence of high-quality and specialized inputs such as scientific and technical talent • An environment that encourages investment and intense local rivalry • Pressure and insight gained from a sophisticated local market • Local presence of related and supporting industries

Motorola and Intel are among those firms that have rejected low-cost locations when those loca- tions could not support other important aspects of the strategy. In the case of Motorola, when analysis indicated that the infrastructure and education levels could not support specific produc- tion technologies, the locations were removed from consideration, even if they were low cost. And Intel opened its newest plant not in Asia but in the U.S. The $3 billion semiconductor facil- ity, with 1,000 workers, ended up in Arizona in 2007 for four reasons: (1) the skilled labor requirements (for employees who understand statistics and scientific principles), (2) protection of intellectual property in the U.S., (3) tax breaks to help cover the cost of equipment, and (4) easy oversight from Intel’s California headquarters.

FACTORS THAT AFFECT LOCATION DECISIONS Selecting a facility location is becoming much more complex with the globalization of the work- place. As we saw in Chapter 2, globalization has taken place because of the development of (1) market economics; (2) better international communications; (3) more rapid, reliable travel and shipping; (4) ease of capital flow between countries; and (5) high differences in labor costs. Many firms now consider opening new offices, factories, retail stores, or banks outside their home country. Location decisions transcend national borders. In fact, as Figure 8.1 shows, the sequence of location decisions often begins with choosing a country in which to operate.

One approach to selecting a country is to identify what the parent organization believes are key success factors (KSFs) needed to achieve competitive advantage. Six possible country KSFs are listed at the top of Figure 8.1. Using such factors (including some negative ones, such as crime) the World Economic Forum biannually ranks the global competitiveness of 133 countries (see Table 8.1). Switzerland landed first, with the U.S. a close second, in 2009–2010 because of their high rates of saving and investment, openness to trade, quality education, and efficient governments.

Once a firm decides which country is best for its location, it focuses on a region of the chosen country and a community. The final step in the location decision process is choosing a specific

Political risks, government rules, attitudes, incentives Cultural and economic issues Location of markets Labor talent, attitudes, productivity, costs Availability of supplies, communications, energy Exchange rates and currency risk

1. 2. 3. 4. 5. 6.

Country Decision Key Success Factors

Region/Community Decision

Site Decision

12

4

3

Corporate desires Attractiveness of region (culture, taxes, climate, etc.) Labor availability, costs, attitudes toward unions Cost and availability of utilities Environmental regulations of state and town Government incentives and fiscal policies Proximity to raw materials and customers Land/construction costs

1. 2. 3. 4. 5. 6. 7. 8.

Site size and cost Air, rail, highway, and waterway systems Zoning restrictions Proximity of services/supplies needed Environmental impact issues

1. 2. 3. 4. 5.

MN

WI

IL IN OH

MI

465

465

465

465

70

65

65

69

70

Indianapolis � FIGURE 8.1 Some Considerations and Factors That Affect Location Decisions

AUTHOR COMMENT We now look at major

location issues.

� TABLE 8.1 Competitiveness of 133 Selected Countries, Based on Annual Surveys of 13,000 Business Executives

Country 2009–2010 Ranking

Switzerland 1 U.S. 2

o Japan 8 Canada 9

o UK 13

o Israel 27

o China 29

o Italy 48 India 49

o Mexico 60

o Russia 63

o o

Vietnam 75 o

Zimbabwe 132 Burundi 133

Source: www.weforum.org, 2010. Used with permission of World Economic Forum.

256 PART 2 Designing Operations

site within a community. The company must pick the one location that is best suited for shipping and receiving, zoning, utilities, size, and cost. Again, Figure 8.1 summarizes this series of decisions and the factors that affect them.

Besides globalization, a number of other factors affect the location decision. Among these are labor productivity, foreign exchange, culture, changing attitudes toward the industry, and proximity to markets, suppliers, and competitors.

Labor Productivity When deciding on a location, management may be tempted by an area’s low wage rates. However, wage rates cannot be considered by themselves, as Quality Coils, Inc., discovered when it opened its plant in Mexico (see the OM in Action box “Quality Coils Pulls the Plug on Mexico”). Management must also consider productivity.

As discussed in Chapter 1, differences exist in productivity in various countries. What man- agement is really interested in is the combination of production and the wage rate. For example, if Quality Coils pays $70 per day with 60 units produced per day in Connecticut, it will spend less on labor than at a Mexican plant that pays $25 per day with production of 20 units per day:

Case 1: Connecticut plant:

Case 2: Juarez, Mexico, plant:

Employees with poor training, poor education, or poor work habits may not be a good buy even at low wages. By the same token, employees who cannot or will not always reach their places of work are not much good to the organization, even at low wages. (Labor cost per unit is some- times called the labor content of the product.)

Exchange Rates and Currency Risk Although wage rates and productivity may make a country seem economical, unfavorable exchange rates may negate any savings. Sometimes, though, firms can take advantage of a partic- ularly favorable exchange rate by relocating or exporting to a foreign country. However, the values of foreign currencies continually rise and fall in most countries. Such changes could well make what was a good location in 2010 a disastrous one in 2015.

$25 Wages per day

20 Units produced per day =

$25

20 = $1.25 per unit

$70 Wages per day

60 Units produced per day =

$70

60 = $1.17 per unit

Labor cost per day

Production 1that is, units per day2 = Labor cost per unit

LO1: Identify and explain seven major factors that affect location decisions

LO2: Compute labor productivity

Keith Gibson, president of Quality Coils, Inc., saw the savings of low Mexican wages and headed south. He shut down a factory in Connecticut and opened one in Juarez, where he could pay Mexicans one-third the wage rates he was paying Americans. “All the figures pointed out we should make a killing,” says Gibson.

Instead, his company was nearly destroyed. The electromagnetic coil maker regularly lost money during 4 years in Mexico. High absenteeism, low productivity, and problems of long-distance management wore down Gibson until he finally pulled the plug on Juarez.

Moving back to the U.S. and rehiring some of his original workers, Gibson learned, “I can hire one person in Connecticut for what three were doing in Juarez.”

When U.S. unions complain that they cannot compete against the low wages in other countries and when the

teamster rallies chant “$4 a day/No way!” they overlook several factors. First, productivity in low-wage countries often erases a wage advantage that is not nearly as great as people believe. Second, a host of problems, from poor roads to corrupt governments, run up operating costs. Third, although labor costs in many underdeveloped countries are only one-third of those in the U.S., they may represent less than 10% of total manufacturing costs. Thus, the difference may not overcome other disadvantages. And most importantly, the cost of labor for most U.S. manufacturers is less important than such factors as the skill of the workforce, the quality of transportation, and access to technology.

Sources: Global Information Network (January 8, 2004): 1; and The Wall Street Journal (January 13, 2004): A12 and (September 15, 1993): A1.

OM in Action OMinActio� ..Quality Coils Pulls the Plug on Mexico

AUTHOR COMMENT Final cost is the critical factor

and low productivity can negate low cost.

Chapter 8 Location Strategies 257

Costs We can divide location costs into two categories, tangible and intangible. Tangible costs are those costs that are readily identifiable and precisely measured. They include utilities, labor, material, taxes, depreciation, and other costs that the accounting department and management can identify. In addition, such costs as transportation of raw materials, transportation of finished goods, and site construction are all factored into the overall cost of a location. Government incentives, as we see in the OM in Action box “How Alabama Won the Auto Industry,” certainly affect a location’s cost.

Intangible costs are less easily quantified. They include quality of education, public trans- portation facilities, community attitudes toward the industry and the company, and quality and attitude of prospective employees. They also include quality-of-life variables, such as climate and sports teams, that may influence personnel recruiting.

Ethical Issues Location decisions based on costs alone may create ethical situations such as the United Airlines case in Indianapolis (see the Ethical Dilemma in the Lecture Guide & Activities Manual ). United accepted $320 million in incentives to open a facility in that location, only to renege a decade later, leaving residents and government holding the bag.2

Assembly plants operating along the Mexican side of the border, from Texas to California, are called maquiladoras. Some 3,000 firms and industrial giants such as Toyota, Panasonic, Zenith, Hitachi, and GE operate these plants, which employ over 1 million workers. Mexican wages are low, but at current exchange rates, companies also look to Asia.

2So what’s a city, county, or state to do? According to Forbes (June 19, 2006): 42, “Keep taxes low. Don’t grant favors. Pursue non-discriminatory reforms like reining in debt and public spending. Remove barriers rather than trying to steer economic growth to this favored corporation or that one.” While many inner cities have languished, Chicago has pros- pered by focusing on infrastructure and quality-of-life issues. Also see “Is There a Better Way to Court a Company?” Business Week (July 23, 2007): 55.

Fifteen years ago, Alabama persuaded Mercedes-Benz to build its first U.S. auto plant in the town of Vance by offering the luxury carmaker $253 million worth of incentives— $169,000 for every job Mercedes promised the state.

Taxpayers considered the deal such a boondoggle that they voted Governor Jim Folsom out of office long before the first Mercedes SUV rolled off the new assembly line in 1997. Today, with 50,000 car-related jobs in Alabama, the deal looks a little more like a bargain—suggesting that the practice of paying millions of taxpayer dollars to lure big employers can sometimes have a big payoff.

Mercedes surpassed its pledge to create 1,500 jobs at the Vance plant and currently has a workforce of about 4,000.

In 2001, Honda opened a factory 70 miles east of the Mercedes plant, to build its Odyssey minivan. Toyota Motor

Corp.’s plant near Huntsville started producing engines in 2002. Those two automakers also received incentives.

To cement Alabama’s reputation as the South’s busiest auto-making center, Hyundai Motor Co. of South Korea picked a site near Montgomery for its first U.S. assembly plant. The factory began production in 2005, employing 2,000 workers to make 300,000 sedans and SUVs a year.

Is the state giving away more than it gets in return? That’s what many economists argue. Other former foes of incentives now argue that manufacturers’ arrivals herald “Alabama’s new day.”

Sources: Automotive News (June 2, 2008): 30D and (March 10, 2008):16; and The Wall Street Journal (August 14, 2007): A6.

OM in Action � How Alabama Won the Auto Industry

Tangible costs Readily identifiable costs that can be measured with some precision.

Intangible costs A category of location costs that cannot be easily quantified, such as quality of life and government.

258 PART 2 Designing Operations

To what extent do companies owe long-term allegiance to a particular country or state or town if they are losing money—or if the firm can make greater profits elsewhere? Is it ethical for developed countries to locate plants in undeveloped countries where sweatshops and child labor are commonly used? Where low wages and poor working conditions are the norm? It has been said that the factory of the future will be a large ship, capable of moving from port to port as costs in one port become noncompetitive.

Political Risk, Values, and Culture The political risk associated with national, state, and local governments’ attitudes toward private and intellectual property, zoning, pollution, and employment stability may be in flux. Governmental positions at the time a location decision is made may not be lasting ones. However, management may find that these attitudes can be influenced by their own leadership.

Worker values may also differ from country to country, region to region, and small town to city. Worker views regarding turnover, unions, and absenteeism are all relevant factors. In turn, these values can affect a company’s decision whether to make offers to current workers if the firm relocates to a new location. The case study in the Lecture Guide & Activities Manual, “Southern Recreational Vehicle Company,” describes a St. Louis firm that actively chose not to relocate any of its workers when it moved to Mississippi.

One of the greatest challenges in a global operations decision is dealing with another coun- try’s culture. Cultural variations in punctuality by employees and suppliers make a marked dif- ference in production and delivery schedules. Bribery likewise creates substantial economic inefficiency, as well as ethical and legal problems in the global arena. As a result, operations managers face significant challenges when building effective supply chains across cultures. Table 8.2 provides one ranking of corruption in countries around the world.

Proximity to Markets For many firms, locating near customers is extremely important. Particularly, service organiza- tions, like drugstores, restaurants, post offices, or barbers, find that proximity to market is the pri- mary location factor. Manufacturing firms find it useful to be close to customers when transporting finished goods is expensive or difficult (perhaps because they are bulky, heavy, or fragile). Foreign-owned auto giants such as Mercedes, Honda, Toyota, and Hyundai are building millions of cars each year in the U.S.

In addition, with just-in-time production, suppliers want to locate near users. For a firm like Coca-Cola, whose product’s primary ingredient is water, it makes sense to have bottling plants in many cities rather than shipping heavy (and sometimes fragile glass) containers cross country.

Proximity to Suppliers Firms locate near their raw materials and suppliers because of (1) perishability, (2) transportation costs, or (3) bulk. Bakeries, dairy plants, and frozen seafood processors deal with perishable raw materials, so they often locate close to suppliers. Companies dependent on inputs of heavy or bulky raw materials (such as steel producers using coal and iron ore) face expensive inbound transportation costs, so transportation costs become a major factor. And goods for which there is a reduction in bulk during production (such as lumber mills locating in the Northwest near tim- ber resources) typically need to be near the raw material.

Proximity to Competitors (Clustering) Both manufacturing and service organizations also like to locate, somewhat surprisingly, near com- petitors. This tendency, called clustering, often occurs when a major resource is found in that region. Such resources include natural resources, information resources, venture capital resources, and talent resources. Table 8.3 presents nine examples of industries that exhibit clustering, and the reasons why.

Italy may be the true leader when it comes to clustering, however, with northern zones of that country holding world leadership in such specialties as ceramic tile (Modena), gold jewelry (Vicenza), machine tools (Busto Arsizio), cashmere and wool (Biella), designer eyeglasses (Belluma), and pasta machines (Parma).

Clustering The location of competing companies near each other, often because of a critical mass of information, talent, venture capital, or natural resources.

� TABLE 8.2 Ranking Corruption in Selected Countries (score of 10 represents a corruption-free country)

Rank Score

1 Denmark, 9.3 New Zealand, (tie) Sweden

o 9 Canada,

Australia 8.7

(tie) o

18 Japan, U.S., Belgium

7.3 (tie)

o 33 Israel,

Dominica 6.0

(tie)

o 80 Brazil,

Thailand, Saudi Arabia

3.5 (tie)

o 143 Iran, Yemen

o 2.3

(tie) 177 Haiti 1.4

o 180 Somalia 1.0

Source: Transparency International’s 2008 survey, at www.transparency.org. Used with permission of Transparency International.

Chapter 8 Location Strategies 259

METHODS OF EVALUATING LOCATION ALTERNATIVES Four major methods are used for solving location problems: the factor-rating method, locational break-even analysis, the center-of-gravity method, and the transportation model. This section describes these approaches.

The Factor-Rating Method There are many factors, both qualitative and quantitative, to consider in choosing a location. Some of these factors are more important than others, so managers can use weightings to make the decision process more objective. The factor-rating method is popular because a wide vari- ety of factors, from education to recreation to labor skills, can be objectively included. Figure 8.1 listed a few of the many factors that affect location decisions.

The factor-rating method has six steps:

1. Develop a list of relevant factors called key success factors (such as those in Figure 8.1). 2. Assign a weight to each factor to reflect its relative importance in the company’s objectives. 3. Develop a scale for each factor (for example, 1 to 10 or 1 to 100 points). 4. Have management score each location for each factor, using the scale in step 3. 5. Multiply the score by the weights for each factor and total the score for each location. 6. Make a recommendation based on the maximum point score, considering the results of other

quantitative approaches as well.

� TABLE 8.3 Clustering of Companies

Industry Locations Reason for Clustering

Wine making Napa Valley (U.S.), Bordeaux region (France)

Natural resources of land and climate

Software firms Silicon Valley, Boston, Bangalore (India) Talent resources of bright graduates in scientific/technical areas, venture capitalists nearby

Race car building Huntington/North Hampton region (England)

Critical mass of talent and information

Theme parks (including Disney World, Universal Studios, and Sea World)

Orlando, Florida A hot spot for entertainment, warm weather, tourists, and inexpensive labor

Electronics firms (such as Sony, IBM, HP, Motorola, and Panasonic)

Northern Mexico NAFTA, duty-free export to U.S. (24% of all TVs are built here)

Computer hardware manufacturing Singapore, Taiwan High technological penetration rates and per capita GDP, skilled/educated workforce with large pool of engineers

Fast-food chains (such as Wendy’s, McDonald’s, Burger King, and Pizza Hut)

Sites within 1 mile of one another Stimulate food sales, high traffic flows

General aviation aircraft (including Cessna, Learjet, Boeing, and Raytheon)

Wichita, Kansas Mass of aviation skills (60–70% of world’s small planes/jets built here)

Orthopedic device manufacturing Warsaw, Indiana Ready supply of skilled workers, strong U.S. market

AUTHOR COMMENT Here are four techniques that help in making good location

decisions.

Factor-rating method A location method that instills objectivity into the process of identifying hard-to-evaluate costs.

Five Flags over Florida, a U.S. chain of 10 family-oriented theme parks, has decided to expand over- seas by opening its first park in Europe. It wishes to select between France and Denmark.

APPROACH � The ratings sheet in Table 8.4 lists key success factors that management has decided are important; their weightings and their rating for two possible sites—Dijon, France, and Copenhagen, Denmark—are shown.

� EXAMPLE 1 Factor-rating method for an expanding theme park

260 PART 2 Designing Operations

When a decision is sensitive to minor changes, further analysis of the weighting and the points assigned may be appropriate. Alternatively, management may conclude that these intangible fac- tors are not the proper criteria on which to base a location decision. Managers therefore place primary weight on the more quantitative aspects of the decision.

Locational Break-Even Analysis Locational break-even analysis is the use of cost–volume analysis to make an economic com- parison of location alternatives. By identifying fixed and variable costs and graphing them for each location, we can determine which one provides the lowest cost. Locational break-even analysis can be done mathematically or graphically. The graphic approach has the advantage of providing the range of volume over which each location is preferable.

The three steps to locational break-even analysis are as follows:

1. Determine the fixed and variable cost for each location. 2. Plot the costs for each location, with costs on the vertical axis of the graph and annual vol-

ume on the horizontal axis. 3. Select the location that has the lowest total cost for the expected production volume.

LO3: Apply the factor- rating method

Key

Scores (out of 100) Weighted Scores

Success Factor Weight France Denmark France Denmark

Labor availability and attitude .25 70 60 1.2521702 = 17.5 1.2521602 = 15.0

People-to-car ratio .05 50 60 1.0521502 = 2.5 1.0521602 = 3.0 Per capita income .10 85 80 1.1021852 = 8.5 1.1021802 = 8.0 Tax structure .39 75 70 1.3921752 = 29.3 1.3921702 = 27.3 Education and

health Totals

.21 1.00

60 70 70.4

1.2121602 = 12.6 68.0

1.2121702 = 14.7

SOLUTION � Table 8.4 uses weights and scores to evaluate alternative site locations. Given the option of 100 points assigned to each factor, the French location is preferable.

INSIGHT � By changing the points or weights slightly for those factors about which there is some doubt, we can analyze the sensitivity of the decision. For instance, we can see that changing the scores for “labor availability and attitude” by 10 points can change the decision. The numbers used in factor weighting can be subjective and the model’s results are not “exact” even though this is a quantitative approach.

LEARNING EXERCISE � If the weight for “tax structure” drops to .20 and the weight for “education and health” increases to .40, what is the new result? [Answer: Denmark is now chosen, with a 68.0 vs. a 67.5 score for France.]

RELATED PROBLEMS � 8.5, 8.6, 8.7, 8.8, 8.9, 8.10, 8.11, 8.12, 8.13, 8.14, 8.15, 8.24, 8.25

EXCEL OM Data File Ch08Ex1.xls can be found at www.pearsonhighered.com/heizer.

�TABLE 8.4 Weights, Scores, and Solution

AUTHOR COMMENT These weights do not need to be on a 0–1 scale or total to 1. We can use a 1–10 scale, 1–100 scale, or any other

scale we prefer.

EXAMPLE 2 � Locational break- even for a parts manufacturer

John Kros, owner of Carolina Ignitions Manufacturing, needs to expand his capacity. He is considering three locations—Akron, Bowling Green, and Chicago—for a new plant. The company wishes to find the most economical location for an expected volume of 2,000 units per year.

APPROACH � Kros conducts locational break-even analysis. To do so, he determines that fixed costs per year at the sites are $30,000, $60,000, and $110,000, respectively; and variable costs are $75 per unit, $45 per unit, and $25 per unit, respectively. The expected selling price of each ignition system produced is $120.

Locational break-even analysis A cost–volume analysis to make an economic comparison of location alternatives.

Chapter 8 Location Strategies 261

SOLUTION � For each of the three locations, Kros can plot the fixed costs (those at a volume of zero units) and the total cost ( ) at the expected volume of output. These lines have been plotted in Figure 8.2.

fixed costs + variable costs

For Akron:

For Bowling Green:

For Chicago:

With an expected volume of 2,000 units per year, Bowling Green provides the lowest cost location. The expected profit is:

The crossover point for Akron and Bowling Green is:

and the crossover point for Bowling Green and Chicago is:

INSIGHT � As with every other OM model, locational break-even results can be sensitive to input data. For example, for a volume of less than 1,000, Akron would be preferred. For a volume greater than 2,500, Chicago would yield the greatest profit.

LEARNING EXERCISE � The variable cost for Chicago is now expected to be $22 per unit. What is the new crossover point between Bowling Green and Chicago? [Answer: 2,174 units.]

RELATED PROBLEMS � 8.16, 8.17, 8.18, 8.19

EXCEL OM Data File Ch08Ex2.xls can be found at www.pearsonhighered.com/heizer.

x = 2,500 201x2 = 50,000

60,000 + 451x2 = 110,000 + 251x2

x = 1,000 301x2 = 30,000

30,000 + 751x2 = 60,000 + 451x2

Total revenue - Total cost = $12012,0002 - $150,000 = $90,000 per year

Total cost = $110,000 + $2512,0002 = $160,000

Total cost = $60,000 + $4512,0002 = $150,000

Total cost = $30,000 + $7512,0002 = $180,000

$10,000

$30,000

$60,000

$80,000

$110,000

$130,000

$150,000 $160,000

$180,000

0 500 1,000 1,500 2,000 2,500 3,000

Chic ago c

ost c urve

Bo wli

ng Gr

ee n

cos t cu

rve

Ak ro

n co

st c ur

veA n n u a l c

o st

Volume

Akron lowest cost

Bowling Green lowest cost

Chicago lowest cost

� FIGURE 8.2 Crossover Chart for Locational Break-Even Analysis

LO4: Complete a locational break-even analysis graphically and mathematically

262 PART 2 Designing Operations

Center-of-Gravity Method The center-of-gravity method is a mathematical technique used for finding the location of a dis- tribution center that will minimize distribution costs. The method takes into account the location of markets, the volume of goods shipped to those markets, and shipping costs in finding the best location for a distribution center.

The first step in the center-of-gravity method is to place the locations on a coordinate system. This will be illustrated in Example 3. The origin of the coordinate system and the scale used are arbitrary, just as long as the relative distances are correctly represented. This can be done easily by placing a grid over an ordinary map. The center of gravity is determined using Equations (8-1) and (8-2):

(8-1)

(8-2)

where dix � x-coordinate of location i diy � y-coordinate of location i Qi � Quantity of goods moved to or from location i

Note that Equations (8-1) and (8-2) include the term , the quantity of supplies transferred to or from location i.

Since the number of containers shipped each month affects cost, distance alone should not be the principal criterion. The center-of-gravity method assumes that cost is directly proportional to both distance and volume shipped. The ideal location is that which minimizes the weighted dis- tance between the warehouse and its retail outlets, where the distance is weighted by the number of containers shipped.3

Qi

y - coordinate of the center of gravity = © i

diyQi © i

Qi

x- coordinate of the center of gravity = © i dixQi

© i Qi

Center-of-gravity method A mathematical technique used for finding the best location for a single distribution point that services several stores or areas.

3Equations (8–1) and (8–2) compute a center of gravity (COG) under “squared Euclidean” distances and may actually result in transportation costs slightly (less than 2%) higher than an optimal COG computed using “Euclidean” (straight- line) distances. The latter, however, is a more complex and involved procedure mathematically, so the formulas we pre- sent are generally used as an attractive substitute. See C. Kuo and R. E. White, “A Note on the Treatment of the Center-of-Gravity Method in Operations Management Textbooks,” Decision Sciences Journal of Innovative Education 2 (Fall 2004): 219–227.

EXAMPLE 3 � Center of gravity

Quain’s Discount Department Stores, a chain of four large Target-type outlets, has store locations in Chicago, Pittsburgh, New York, and Atlanta; they are currently being supplied out of an old and inade- quate warehouse in Pittsburgh, the site of the chain’s first store. The firm wants to find some “central” location in which to build a new warehouse.

APPROACH � Quain will apply the center-of-gravity method. It gathers data on demand rates at each outlet (see Table 8.5).

Store Location Number of Containers Shipped per Month

Chicago 2,000 Pittsburgh 1,000 New York 1,000 Atlanta 2,000

�TABLE 8.5 Demand for Quain’s Discount Department Stores

LO5: Use the center-of- gravity method

Its current store locations are shown in Figure 8.3. For example, location 1 is Chicago, and from Table 8.5 and Figure 8.3, we have:

SOLUTION � Using the data in Table 8.5 and Figure 8.3 for each of the other cities, and Equations (8–1) and (8–2) we find:

x-coordinate of the center of gravity:

y-coordinate of the center of gravity:

This location (66.7, 93.3) is shown by the crosshairs in Figure 8.3.

INSIGHT � By overlaying a U.S. map on this exhibit, we find this location is near central Ohio. The firm may well wish to consider Columbus, Ohio, or a nearby city as an appropriate location. But it is important to have both North–South and East–West interstate highways near the city selected to make delivery times quicker.

LEARNING EXERCISE � The number of containers shipped per month to Atlanta is expected to grow quickly to 3,000. How does this change the center of gravity, and where should the new ware- house be located? [Answer: (65.7, 85.7), which is closer to Cincinnati, Ohio.]

RELATED PROBLEMS � 8.20, 8.21, 8.22, 8.23

EXCEL OM Data File Ch08Ex3.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 8.1 This example is further illustrated in Active Model 8.1 at www.pearsonhighered.com/heizer.

= 93.3

= 11202120002 + 11102110002 + 11302110002 + 1402120002

2000 + 1000 + 1000 + 2000 =

560,000

6,000

= 66.7

= 1302120002 + 1902110002 + 11302110002 + 1602120002

2000 + 1000 + 1000 + 2000 =

400,000

6,000

Q1 = 2,000 d1y = 120 d1x = 30

Chapter 8 Location Strategies 263

30

60

90

120

30 60 90 120 150 Arbitrary origin

North–South

East–West

Chicago (30, 120)

Pittsburgh (90, 110)

New York (130, 130)

Atlanta (60, 40)

Center of gravity (66.7, 93.3)

� FIGURE 8.3 Coordinate Locations of Four Quain’s Department Stores and Center of Gravity

Transportation Model The objective of the transportation model is to determine the best pattern of shipments from several points of supply (sources) to several points of demand (destinations) so as to minimize total production and transportation costs. Every firm with a network of supply-and-demand points faces such a problem. The complex Volkswagen supply network (shown in Figure 8.4)

Transportation model A technique for solving a class of linear programming problems.

264 PART 2 Designing Operations

provides one such illustration. We note in Figure 8.4, for example, that VW de Mexico ships vehicles for assembly and parts to VW of Nigeria, sends assemblies to VW do Brasil, and receives parts and assemblies from headquarters in Germany.

Although the linear programming (LP) technique can be used to solve this type of problem, more efficient, special-purpose algorithms have been developed for the transportation applica- tion. The transportation model finds an initial feasible solution and then makes step-by-step improvement until an optimal solution is reached.

SERVICE LOCATION STRATEGY While the focus in industrial-sector location analysis is on minimizing cost, the focus in the ser- vice sector is on maximizing revenue. This is because manufacturing firms find that costs tend to vary substantially among locations, while service firms find that location often has more impact on revenue than cost. Therefore, for the service firm, a specific location often influences revenue more than it does cost. This means that the location focus for service firms should be on deter- mining the volume of business and revenue. See the OM in Action box “Location Analysis Tools Help Starbucks Brew Up New Cafes.”

Volkswagen

VW Asia

Shanghai- Volkswagen

VW of South Africa

VW of Nigeria

VW do Brasil

VW Argentina

VW de Mexico

VW of America

Volkswagen

VW Bruxelles Audi

3 3

2,34 4

4

4 4

1

VW of Canada

2,3

3,4

1,3, 4

1,3 3,4

1,3 4

4

2 3 2

,3

4 3

3

2,3

2 1 1,3

3

2 1,4

VW’s supply network

TAS Tvornica

1 Finished vehicles 2 Vehicles for assembly 3 Parts 4 Assemblies (engines, suspension units, etc.)

� FIGURE 8.4 Worldwide Distribution of Volkswagens and Parts Source: The Economist, Ltd. Distributed by The New York Times/Special Edition.

AUTHOR COMMENT Retail stores often attract

more shoppers when competitors are close.

The secret to Starbucks Coffee’s plan to open three new cafes around the world every day isn’t in the coffee beans– it is in the location. The company’s phenomenal growth has been fueled by site-selection software that strengthens the strategic decision-making process. The analysis is as follows: If a site’s potential is not within a certain ROI parameter, the company doesn’t waste its time.

Every site-acquisition decision evaluates geocoded demographic and consumer data. In the U.S., this is simple. Data from geographic information systems provides population, age, purchasing power, traffic counts, and competition on virtually every block in the country. Planners instantly see all the surrounding shops, proposed locations, and competing sites. When Starbucks entered Japan and China, the unavailability of these data was the biggest challenge.

“In the U.S., if you see a mall, it will probably still be there in two years,” says Ernest Luk, VP for Starbucks Asia- Pacific. “A year passes by in a Chinese location, and you

almost won’t know your way around there anymore.” So a team of “hot-spot” seekers traces the paths of where potential customers live, work, and play. Although Starbucks is a barely affordable luxury (at $2.65 for a medium latte where the average income is $143 per month in Shanghai), people don’t go for just the coffee. “They go there to present themselves as modern Chinese in a public setting. Chinese are proudly conspicuous,” says the North Asia director of the ad firm J. Walter Thompson.

With more than 500 stores in Japan and reaching saturation in key cities like Tokyo, Starbucks and its competition are finding more innovative locations. New cafes in a Nissan auto showroom, in office building lobbies, and in supermarkets remind us that it all boils down to location, location, location . . . determined by the latest site-selection technology.

Sources: The Wall Street Journal (April 3, 2007): B1, (September 1, 2006): A11–A12, and (July 29, 2005): C2; and SinoCast China Business Daily News (September 21, 2005): 1.

OM in Action OMinActio� Location Analysis Tools Help Starbucks Brew Up New Cafes

Chapter 8 Location Strategies 265

There are eight major determinants of volume and revenue for the service firm:

1. Purchasing power of the customer-drawing area 2. Service and image compatibility with demographics of the customer-drawing area 3. Competition in the area 4. Quality of the competition 5. Uniqueness of the firm’s and competitors’ locations 6. Physical qualities of facilities and neighboring businesses 7. Operating policies of the firm 8. Quality of management

Realistic analysis of these factors can provide a reasonable picture of the revenue expected. The techniques used in the service sector include correlation analysis, traffic counts, demographic analysis, purchasing power analysis, the factor-rating method, the center-of-gravity method, and geographic information systems. Table 8.6 provides a summary of location strategies for both ser- vice and goods-producing organizations.

How Hotel Chains Select Sites One of the most important decisions in the hospitality industry is location. Hotel chains that pick good sites more accurately and quickly than competitors have a distinct strategic advantage. La Quinta Corporation is a moderately priced chain of 590 motels oriented toward frequent busi- ness travelers. To model motel-selection behavior and predict success of a site, La Quinta turned to statistical regression analysis.4

The hotel started by testing 35 independent variables, trying to find which of them would have the highest correlation with predicted profitability, the dependent variable. “Competitive” inde- pendent variables included the number of hotel rooms in the vicinity and average room rates. “Demand generator” variables were such local attractions as office buildings and hospitals that drew potential customers to a 4-mile-radius trade area. “Demographic” variables, such as local population and unemployment rate, can also affect the success of a hotel. “Market awareness” factors, such as the number of inns in a region, were a fourth category. Finally, “physical charac- teristics” of the site, such as ease of access or sign visibility, provided the last group of the 35 independent variables.

In the end, the regression model chosen, with a coefficient of determination ( ) of 51%, included just four predictive variables. They are the price of the inn, median income levels, the

r2

Picking good sites for service operations such as fast-food restaurants and hotels is increasingly difficult because of saturated markets. But opportunities still exist. Subway (on the left), with over 20,000 U.S. outlets (vs. 13,700 for McDonald’s) has found success with “nontraditional” locations. True Bethel Baptist Church in Buffalo, New York, now houses a Subway. Similarly, a kosher Subway just opened in the Jewish Community Center of Cleveland. Good sites for hotels include those near hospitals and medical centers (right photo). Outpatient care, shorter hospital stays, and more diagnostic tests increase this need to house patients and their families.

4Sheryl Kimes and James Fitzsimmons, “Selecting Profitable Hotel Sites at La Quinta Motor Inns,” Interfaces (March–April 1990): 12–20. Also see The Wall Street Journal (July 19, 1995): B1, B5, for a discussion of how Amerihost Inns makes its location decisions.

266 PART 2 Designing Operations

state population per inn, and the location of nearby colleges (which serves as a proxy for other demand generators). La Quinta then used the regression model to predict profitability and developed a cutoff that gave the best results for predicting success or failure of a site. A spread- sheet is now used to implement the model, which applies the decision rule and suggests “build” or “don’t build.”

The Call Center Industry Industries and office activities that require neither face-to-face contact with the customer nor movement of material broaden location options substantially. A case in point is the call center industry, in which the traditional variables are no longer relevant. Where inexpensive fiber-optic phone lines are available, the cost and availability of labor may drive the location decision.

A decade or so ago, big U.S. companies started hiring call center staff in low-wage countries like India to deal with customer contact jobs, such as product support, hotel reservations, and bill collection. India’s highly educated, English-speaking workforce still attracts a large call center business. But the Philippines, Mexico, Canada, Ireland, and small-town U.S. are increasingly destinations of choice for matching employees and in-depth knowledge of American popular culture. The VP of Client-Logic, Inc., a firm that sets up call centers for companies such as DIRECTV, Sony, and TiVo, says “I’m looking for people who already know that Barbie’s boyfriend is Ken.” He increasingly likes Monterrey, Mexico, because the town’s mall has an American-style 13-screen Cineplex, which shows almost all Hollywood films—meaning locals pick up U.S. slang, fashion trends, brands, and geography.5

How to use quantitative techniques to locate call centers is discussed in detail in Supplement 11.

LO6: Understand the differences between service- and industrial- sector location analysis

5“Siting a Call Center? Check Out the Mall First.” The Wall Street Journal (July 3, 2006): B1, B3.

AUTHOR COMMENT This table helps differentiate

between service- and manufacturing-sector

decisions. Almost every aspect of the decision is

different.

SERVICE/RETAIL/PROFESSIONAL GOODS-PRODUCING

Revenue Focus Cost Focus

Volume/revenue Tangible costs Drawing area; purchasing power Transportation cost of raw material Competition; advertising/pricing Shipment cost of finished goods

Physical quality Parking/access; security/lighting;

Energy and utility cost; labor; raw material; taxes, and so on

appearance/image Intangible and future costs

Cost determinants Rent Management caliber Operation policies (hours, wage rates)

Attitude toward union Quality of life Education expenditures by state Quality of state and local government

Techniques Techniques

Regression models to determine importance of various factors

Transportation method Factor-rating method

Factor-rating method Locational break-even analysis Traffic counts Crossover charts Demographic analysis of drawing area Purchasing power analysis of area Center-of-gravity method Geographic information systems

Assumptions Assumptions

Location is a major determinant of revenue Location is a major determinant of cost High customer-contact issues are critical Costs are relatively constant for a given area;

Most major costs can be identified explicitly for each site

therefore, the revenue function is critical Low customer contact allows focus on the identifiable costs

Intangible costs can be evaluated

�TABLE 8.6 Location Strategies—Service vs. Goods-Producing Organizations

Chapter 8 Location Strategies 267

Geographic Information Systems Geographic information systems are an important tool to help firms make successful, analytical decisions with regard to location. A geographic information system (GIS) stores and displays information that can be linked to a geographical location. For instance, retailers, banks, food chains, gas stations, and print shop franchises can all use geographically coded files from a GIS to conduct demographic analyses. By combining population, age, income, traffic flow, and den- sity figures with geography, a retailer can pinpoint the best location for a new store or restaurant.

Here are some of the geographic databases available in many GISs:

• Census data by block, tract, city, county, congressional district, metropolitan area, state, zip code • Maps of every street, highway, bridge, and tunnel in the U.S. • Utilities such as electrical, water, and gas lines • All rivers, mountains, lakes, forests • All major airports, colleges, hospitals

For example, airlines use GISs to identify airports where ground services are the most effective. This information is then used to help schedule and to decide where to purchase fuel, meals, and other services.

Commercial office building developers use GISs in the selection of cities for future construc- tion. Building new office space takes several years so developers value the database approach that a GIS can offer. GIS is used to analyze factors that influence the location decisions by addressing five elements for each city: (1) residential areas, (2) retail shops, (3) cultural and entertainment centers, (4) crime incidence, and (5) transportation options. For example, one study of Tampa, Florida, showed that the city’s central business district lacks the characteristics to sustain a viable high-demand office market, suggesting that builders should look elsewhere.

Here are five more examples of how location-scouting GIS software is turning commercial real estate into a science6:

• Carvel Ice Cream: This 73-year-old chain of ice cream shops uses GIS to create a demo- graphic profile of what a typically successful neighborhood for a Carvel looks like—mostly in terms of income and ages.

Geographic information system (GIS) A system that stores and displays information that can be linked to a geographic location.

6The Wall Street Journal (July 3, 2007): B1 and (July 18, 2005): R-7; and Business 2.0 (May 2004): 76–77.

Geographic information systems (GISs) are used by a variety of firms, including Darden Restaurants, to identify target markets by income, ethnicity, product use, age, etc. Here, data from MapInfo helps with competitive analysis. Three concentric blue rings, each representing various mile radii, were drawn around the competitor’s store. The heavy red line indicates the “drive” time to the firm’s own central store (the red dot).

268 PART 2 Designing Operations

• Saber Roofing: Rather than send workers out to estimate the costs for reroofing jobs, this Redwood City, California, firm pulls up aerial shots of the building via Google Earth. The owner can measure roofs, eyeball the conditions, and e-mail the client an estimate, saving hundreds of miles of driving daily. In one case, while on the phone, a potential client was told her roof was too steep for the company to tackle after the Saber employee quickly looked up the home on Google Earth.

• Arby’s: As this fast-food chain learned, specific products can affect behavior. Using MapInfo, Arby’s discovered that diners drove up to 20% farther for their roast beef sandwich (which they consider a “destination” product) than for its chicken sandwich.

• Home Depot: Wanting a store in New York City, even though Home Depot demographics are usually for customers who own big homes, the company opened in Queens when GIS soft- ware predicted it would do well. Although most people there live in apartments and very small homes, the store has become one of the chain’s highest-volume outlets. Similarly, Home Depot thought it had saturated Atlanta two decades ago, but GIS analysis suggested expansion. There are now over 40 Home Depots in that area.

• Jo-Ann Stores: This fabric and craft retailer’s 70 superstores were doing well a few years ago, but managers were afraid more big-box stores could not justify building expenses. So Jo-Ann used its GIS to create an ideal customer profile—female homeowners with families—and mapped it against demographics. The firm found it could build 700 superstores, which in turn increased the sales from $105 to $150 per square foot.

Other packages similar to MapInfo are Hemisphere Solutions (by Unisys Corp.), Atlas GIS (from Strategic Mapping, Inc.), Arc/Info (by ESRI), SAS/GIS (by SAS Institute, Inc.), Market Base (by National Decision Systems, Inc.), and MapPoint 2009 (by Microsoft).

To illustrate how extensive some of these GISs can be, consider Microsoft’s MapPoint 2009, which includes a comprehensive set of map and demographic data. Its North American maps have more than 6.4 million miles of streets and 1.9 million points of interest to allow users to locate restaurants, airports, hotels, gas stations, ATMs, museums, campgrounds, and freeway exits. Demographic data includes statistics for population, age, income, education, and housing for 1980, 1990, 2000, and 2005. These data can be mapped by state, county, city, zip code, or census tract. MapPoint 2009 produces maps that identify business trends; pinpoint market graph- ics; locate clients, customers, and competitors; and visualize sales performance and product dis- tribution. The European version of MapPoint includes 7.8 million kilometers of roads as well as 400,000 points of interest (see www.mapapps.net).

The Video Case Study “Locating the Next Red Lobster Restaurant” that appears in the Lecture Guide & Activities Manual describes how that chain uses its GIS to define trade areas based on market size and population density.

VIDEO 8.2 Locating the Next Red Lobster

Restaurant

Location may determine up to 50% of operating expense. Location is also a critical element in determining revenue for the service, retail, or professional firm. Industrial firms need to consider both tangible and intangible costs. Industrial location problems are typically addressed via a factor-rating method, locational break-even analysis, the center-of-gravity method, and the transportation method of linear programming.

For service, retail, and professional organizations, analysis is typically made of a variety of variables including pur- chasing power of a drawing area, compe- tition, advertising and promotion, physical qualities of the location, and operating policies of the organization.

CHAPTER SUMMARY

Key Terms

Tangible costs (p. 257) Intangible costs (p. 257) Clustering (p. 258)

Factor-rating method (p. 259) Locational break-even analysis (p. 260) Center-of-gravity method (p. 262)

Transportation model (p. 263) Graphical information

system (GIS) (p. 267)

Chapter 8 Location Strategies 269

Using Software to Solve Location Problems This section presents three ways to solve location problems with computer software. First, you can create your own spreadsheets to compute factor ratings, the center of gravity, and break-even analysis. Second, Excel OM (free with your text and found at our website) is programmed to solve all three models. Third, POM for Windows is also found at www.pearsonhighered.com/heizer and can solve all problems labelled with a P.

Creating Your Own Excel Spreadsheets Excel (and other spreadsheets) are easily developed to solve most of the problems in this chapter. We do not provide an example here, but you can see from Program 8.1 how the formulas are created.

X Using Excel OM Excel OM may be used to solve Example 1 (with the Factor Rating module), Example 2 (with the Break-Even Analysis module), and Example 3 (with the Center-of-Gravity module), as well as other location problems. To illustrate the factor-rating method, consider the case of Five Flags over Florida (Example 1), which wishes to expand its corporate presence to Europe. Program 8.1 provides the data inputs for five important factors, including their weights, and ratings on a 1–100 scale (where 100 is the highest rating) for each country. As we see, France is more highly rated, with a 70.4 score versus 68.0 for Denmark.

P Using POM for Windows POM for Windows also includes three different facility location models: the factor-rating method, the center-of-gravity model, and locational break-even analysis. For details, refer to Appendix IV.

Enter factor names and weights in columns A and B.

Enter scores (that come from manager ratings) for France and Denmark on each factor in columns C and D.

Although not a requirement of the procedure, choosing weights that sum to 1 makes it easier to communicate the decision process to others involved. = SUM(B8:B12) In this case, since the weights sum to 1, the weighted sum and weighted average are identical.

Compute the weighted scores as the product of the weights and the scores for each city using the SUMPRODUCT function. = SUMPRODUCT ($B$8:$B$12, D8)

� PROGRAM 8.1 Excel OM’s Factor Rating Module, Including Inputs, Selected Formulas, and Outputs Using Five Flags over Florida Data in Example 1

270 PART 2 Designing Operations

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 8.1 Just as cities and communities can be compared for location selec- tion by the weighted approach model, as we saw earlier in this chap- ter, so can actual site decisions within those cities. Table 8.7 illustrates four factors of importance to Washington, DC, and the health officials charged with opening that city’s first public drug treatment clinic. Of primary concern (and given a weight of 5) was location of the clinic so it would be as accessible as possible to the largest number of patients. Due to a tight budget, the annual lease cost was also of some concern. A suite in the city hall, at 14th and U Streets, was highly rated because its rent would be free. An old office building near the downtown bus station received a much lower rating because of its cost. Equally important as lease cost was

the need for confidentiality of patients and, therefore, for a relatively inconspicuous clinic. Finally, because so many of the staff at the clinic would be donating their time, the safety, parking, and accessi- bility of each site were of concern as well.

Using the factor-rating method, which site is preferred?

� SOLUTION From the three rightmost columns in Table 8.7, the weighted scores are summed. The bus terminal area has a low score and can be excluded from further consideration. The other two sites are virtually identical in total score. The city may now want to con- sider other factors, including political ones, in selecting between the two remaining sites.

� TABLE 8.7 Potential Clinic Sites in Washington, DC

Potential Locationsa

Factor Importance

Weight

Homeless Shelter

(2nd and D, SE)

City Hall (14th

and U, NW)

Bus Terminal Area (7th

and H, NW)

Weighted Scores

Accessibility for addicts 5 9 7 7 45 35 35 Annual lease cost 3 6 10 3 18 30 9 Inconspicuous 3 5 2 7 15 6 21 Accessibility for health staff 2 3 6 2 6 12 4

Total scores: 84 83 69

Homeless Shelter

City Hall

Bus Terminal

Area

a All sites are rated on a 1 to 10 basis, with 10 as the highest score and 1 as the lowest.

Source: From Service Management and Operations, 2/e, by Haksever/Render/Russell/Murdick, p. 266. Copyright © 2000. Reprinted by permission of Prentice Hall, Inc., Upper Saddle River, NJ.

� SOLVED PROBLEM 8.2 Ching-Chang Kau is considering opening a new foundry in Denton, Texas; Edwardsville, Illinois; or Fayetteville, Arkansas, to produce high-quality rifle sights. He has assembled the follow- ing fixed-cost and variable-cost data:

Per-Unit Costs

Fixed Cost Variable Location per Year Material Labor Overhead

Denton $200,000 $ .20 $ .40 $ .40 Edwardsville $180,000 $ .25 $ .75 $ .75 Fayetteville $170,000 $1.00 $1.00 $1.00

a) Graph the total cost lines. b) Over what range of annual volume is each facility going to

have a competitive advantage? c) What is the volume at the intersection of the Edwardsville

and Fayetteville cost lines?

� SOLUTION (a) A graph of the total cost lines is shown in Figure 8.5. (b) Below 8,000 units, the Fayetteville facility will have a

competitive advantage (lowest cost); between 8,000 units and 26,666 units, Edwardsville has an advantage; and above 26,666, Denton has the advantage. (We have made the assump- tion in this problem that other costs—that is, delivery and intangible factors—are constant regardless of the decision.)

(c) From Figure 8.5, we see that the cost line for Fayetteville and the cost line for Edwardsville cross at about 8,000. We can also determine this point with a little algebra:

8,000 = Q $10,000 = 1.25Q

$180,000 + 1.75Q = $170,000 + 3.00Q

Chapter 8 Location Strategies 271

$250,000

0 5,000

Fayetteville lowest cost

Edwardsville lowest cost

Units (or rifle sights)

T o ta

l c o st

Denton lowest cost

10,000 15,000 20,000 25,000 30,000 35,000

$225,000

$200,000

$175,000

$150,000

0

8,000 26,666

Denton

Edwa rdsvil

le

Fa yet

tev ille

� FIGURE 8.5 Graph of Total Cost Lines for Ching-Chang Kau

Bibliography

Ballou, Ronald H. Business Logistics Management, 5th ed. Upper Saddle River, NJ: Prentice Hall, 2004.

Bartness, A. D. “The Plant Location Puzzle.” Harvard Business Review 72, no. 2 (March–April 1994).

Denton, B. “Decision Analysis, Location Models, and Scheduling Problems.” Interfaces 30, no. 3 (May–June 2005): 262–263.

Drezner, Z. Facility Location: Applications and Theory. Berlin: Springer-Verlag, 2002.

Florida, R. The Flight of the Creative Class: The New Global Competition for Talent. New York: HarperCollins, 2005.

Klamroth, K. Single Facility Location Problems. Berlin: Springer- Verlag, 2002.

Kennedy, M. Introducing Geographic Information Systems with ArcGIS. New York: Wiley, 2006.

Mentzer, John T. “Seven Keys to Facility Location.” Supply Chain Management Review 12, no. 5 (May 2008): 25.

Partovi, F. Y. “An Analytic Model for Locating Facilities Strategically.” Omega 34, no. 1 (January 2006): 41.

Porter, Michael E., and Scott Stern. “Innovation: Location Matters.” MIT Sloan Management Review (Summer 2001): 28–36.

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall, 2009.

Snyder, L. V. “Facility Location Under Uncertainty.” IIE Transactions 38, no. 7 (July 2006): 547.

Tallman, Stephen, et al. “Knowledge, Clusters, and Competitive Advantage.” The Academy of Management Review 29, no. 2 (April 2004): 258–271.

White, G. “Location, Location, Location.” Nation’s Restaurant News 42, no. 27 (July 14, 2008): S10–S11.

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Southwestern University (E): The university faces three choices where to locate its football stadium.

This page intentionally left blank

Chapter Outline

GLOBAL COMPANY PROFILE: MCDONALD’S

The Strategic Importance of Layout Decisions 276

Types of Layout 276

Office Layout 278

Retail Layout 279

Warehousing and Storage Layouts 281

Fixed-Position Layout 282

Process-Oriented Layout 283

Work Cells 288

Repetitive and Product-Oriented Layout 292

Layout Strategies

273

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

274

GLOBAL COMPANY PROFILE: McDONALD’S

I n its half-century of existence, McDonald’s

revolutionized the restaurant industry by inventing

the limited-menu fast-food restaurant. It has also

made seven major innovations. The first, the

introduction of indoor seating (1950s), was a layout

issue, as was the second, drive-through windows

(1970s). The third, adding breakfasts to the menu

(1980s), was a product strategy. The fourth, adding

play areas (late 1980s), was again a layout decision.

In the 1990s, McDonald’s completed its fifth

innovation, a radically new redesign of the kitchens in

its 14,000 North America outlets to facilitate a mass

customization process. Dubbed the “Made by You”

kitchen system, sandwiches were assembled to order

with the revamped layout.

In 2004, the chain began the rollout of its sixth

innovation, a new food ordering layout: the self-service

kiosk. Self-service kiosks have been infiltrating the

service sector since the introduction of ATMs in 1985

(there are over 1.5 million ATMs in banking). Alaska

McDONALD’S LOOKS FOR COMPETITIVE ADVANTAGE THROUGH LAYOUT Airlines was the first airline to provide self-service

airport check-in, in 1996. Most passengers of the

major airlines now check themselves in for flights.

Kiosks take up less space than an employee and

reduce waiting line time.

Now, McDonald’s is working on its seventh

innovation, and not surprisingly, it also deals with

restaurant layout. The company, on an unprecedented

scale, is redesigning all 30,000 eateries around the

globe to take on a 21st century look. The dining area

will be separated into three sections with distinct

personalities: (1) the “linger” zone focuses on young

adults and offers comfortable furniture and Wi-Fi

connections; (2) the “grab and go” zone features tall

counters, bar stools, and plasma TVs; and (3) the

“flexible” zone has colorful family booths, flexible

seating, and kid-oriented music. The cost per outlet:

a whopping $300,000–$400,000 renovation fee.

As McDonald’s has discovered, facility layout is

indeed a source of competitive advantage.

McDonald’s finds that kiosks reduce both space requirements and waiting; order taking is faster. An added benefit is that customers like them. Also, kiosks are reliable—they don’t call in sick. And, most importantly, sales are up 10%–15% (an average of $1) when a customer orders from a kiosk, which consistently recommends the larger size and other extras.

Linger Zone � Cozy armchairs and sofas, plus Wi-Fi connections, make these areas attractive to those who want to hang out and socialize.

Flexible Zone � Booths with colorful fabric cushions make up the area geared to family and larger groups. Tables and chairs are movable.

Grab & Go Zone � This section has tall counters with bar stools for customers who eat alone. Plasma TVs keep them company.

MCDONALD’S �

275

� The redesigned kitchen of a McDonald’s in Manhattan. The more efficient layout requires less labor, reduces waste, and provides faster service. A graphic of this “assembly line” is shown in Figure 9.12

276 PART 2 Designing Operations

THE STRATEGIC IMPORTANCE OF LAYOUT DECISIONS Layout is one of the key decisions that determines the long-run efficiency of operations. Layout has numerous strategic implications because it establishes an organization’s competitive priorities in regard to capacity, processes, flexibility, and cost, as well as quality of work life, customer contact, and image. An effective layout can help an organization achieve a strategy that supports differenti- ation, low cost, or response. Benetton, for example, supports a differentiation strategy by heavy investment in warehouse layouts that contribute to fast, accurate sorting and shipping to its 5,000 outlets. Wal-Mart store layouts support a strategy of low cost, as do its warehouse layouts. Hallmark’s office layouts, where many professionals operate with open communication in work cells, support rapid development of greeting cards. The objective of layout strategy is to develop an effective and efficient layout that will meet the firm’s competitive requirements.These firms have done so.

In all cases, layout design must consider how to achieve the following:

• Higher utilization of space, equipment, and people • Improved flow of information, materials, or people • Improved employee morale and safer working conditions • Improved customer/client interaction • Flexibility (whatever the layout is now, it will need to change).

In our increasingly short-life-cycle, mass-customized world, layout designs need to be viewed as dynamic.This means considering small, movable, and flexible equipment. Store displays need to be movable, office desks and partitions modular, and warehouse racks prefabricated. To make quick and easy changes in product models and in production rates, operations managers must design flexibility into layouts. To obtain flexibility in layout, managers cross train their workers, maintain equipment, keep investments low, place workstations close together, and use small, movable equipment. In some cases, equipment on wheels is appropriate, in anticipation of the next change in product, process, or volume.

TYPES OF LAYOUT Layout decisions include the best placement of machines (in production settings), offices and desks (in office settings), or service centers (in settings such as hospitals or department stores). An effective layout facilitates the flow of materials, people, and information within and between areas. To achieve these objectives, a variety of approaches has been developed. We will discuss seven of them in this chapter:

1. Office layout: Positions workers, their equipment, and spaces/offices to provide for move- ment of information.

2. Retail layout: Allocates shelf space and responds to customer behavior. 3. Warehouse layout: Addresses trade-offs between space and material handling. 4. Fixed-position layout: Addresses the layout requirements of large, bulky projects such as

ships and buildings. 5. Process-oriented layout: Deals with low-volume, high-variety production (also called “job

shop,” or intermittent production).

LO1: Discuss important issues in office layout 278

LO2: Define the objectives of retail layout 279

LO3: Discuss modern warehouse management and terms such as ASRS, cross-docking, and random stocking 281

LO4: Identify when fixed-position layouts are appropriate 283

Chapter 9 Learning Objectives

LO5: Explain how to achieve a good process-oriented facility layout 284

LO6: Define work cell and the requirements of a work cell 288

LO7: Define product-oriented layout 292

LO8: Explain how to balance production flow in a repetitive or product-oriented facility 293

Chapter 9 Layout Strategies 277

6. Work-cell layout: Arranges machinery and equipment to focus on production of a single product or group of related products.

7. Product-oriented layout: Seeks the best personnel and machine utilization in repetitive or continuous production.

Examples for each of these classes of layouts are noted in Table 9.1. Because only a few of these seven classes can be modeled mathematically, layout and design

of physical facilities are still something of an art. However, we do know that a good layout requires determining the following:

• Material handling equipment: Managers must decide about equipment to be used, including conveyors, cranes, automated storage and retrieval systems, and automatic carts to deliver and store material.

• Capacity and space requirements: Only when personnel, machines, and equipment require- ments are known can managers proceed with layout and provide space for each component. In the case of office work, operations managers must make judgments about the space require-

� TABLE 9.1 Layout Strategies

Objectives Examples

Office Locate workers requiring frequent contact close to one another

Allstate Insurance Microsoft Corp.

Retail Expose customer to high-margin items

Kroger’s Supermarket Walgreen’s Bloomingdale’s

Warehouse (storage) Balance low-cost storage with low cost material handling

Federal-Mogul’s warehouse The Gap’s distribution center

Project (fixed position) Move material to the limited storage areas around the site

Ingall Ship Building Corp. Trump Plaza Pittsburgh Airport

Job Shop (process oriented)

Manage varied material flow for each product

Arnold Palmer Hospital Hard Rock Cafe Olive Garden

Work Cell (product families)

Identify a product family, build teams, cross train team members

Hallmark Cards Wheeled Coach Standard Aero

Repetitive/Continuous (product oriented)

Equalize the task time at each workstation

Sony’s TV assembly line Toyota Scion

This open office offers a large shared space that encourages employees to interact. Before Steelcase, the office furniture maker, went to an open office system, 80% of its office space was private; now it is just 20% private. The CEO even went from a private 700-square-foot office to a 48-square-foot enclosure in an open area. This dramatically increases unplanned and spontaneous communication between employees.

278 PART 2 Designing Operations

ments for each employee. It may be a -foot cubicle plus allowance for hallways, aisles, rest rooms, cafeterias, stairwells, elevators, and so forth, or it may be spacious executive offices and conference rooms. Management must also consider allowances for requirements that address safety, noise, dust, fumes, temperature, and space around equipment and machines.

• Environment and aesthetics: Layout concerns often require decisions about windows, planters, and height of partitions to facilitate air flow, reduce noise, provide privacy, and so forth.

• Flows of information: Communication is important to any organization and must be facili- tated by the layout. This issue may require decisions about proximity as well as decisions about open spaces versus half-height dividers versus private offices.

• Cost of moving between various work areas: There may be unique considerations related to moving materials or to the importance of having certain areas next to each other. For example, moving molten steel is more difficult than moving cold steel.

OFFICE LAYOUT Office layouts require the grouping of workers, their equipment, and spaces to provide for com- fort, safety, and movement of information. The main distinction of office layouts is the impor- tance placed on the flow of information. Office layouts are in constant flux as the technological change sweeping society alters the way offices function.

Even though the movement of information is increasingly electronic, analysis of office layouts still requires a task-based approach. Paper correspondence, contracts, legal documents, confidential patient records, and hard-copy scripts, artwork, and designs still play a major role in many offices. Managers therefore examine both electronic and conventional communication patterns, separation needs, and other conditions affecting employee effectiveness. A useful tool for such an analysis is the relationship chart shown in Figure 9.1. This chart, prepared for an office of product designers, indicates that the chief marketing officer must be (1) near the designers’ area, (2) less near the sec- retary and central files, and (3) not at all near the copy center or accounting department.

General office-area guidelines allot an average of about 100 square feet per person (including corridors). A major executive is allotted about 400 square feet, and a conference room area is based on 25 square feet per person.

On the other hand, some layout considerations are universal (many of which apply to factories as well as to offices). They have to do with working conditions, teamwork, authority, and status. Should offices be private or open cubicles, have low file cabinets to foster informal communica- tion or high cabinets to reduce noise and contribute to privacy? (See the Steelcase photo on the previous page). Should all employees use the same entrance, rest rooms, lockers, and cafeteria? As mentioned earlier, layout decisions are part art and part science.

As a final comment on office layout, we note two major trends. First, technology, such as cell phones, iPods, faxes, the Internet, laptop computers, and PDAs, allows increasing layout flexibil- ity by moving information electronically and allowing employees to work offsite. Second, mod- ern firms create dynamic needs for space and services.

6 * 6

CLOSENESSValue

A

E

I

O

U

X

Absolutely necessary

Especially important

Important

Ordinary OK

Unimportant

Not desirable

1 CEO

2 Chief marketing officer

3 Designers’ area

4 Secretary

5 Sales area

6 Central files

7 Computer services

8 Copy center

9 Accounting

1 2

3 4

5 6

7 8

9

A

A

A

A A

A

E E

E

E E

I I

I

I I

I

I

I

O

OO O

O

O

O O

U U

U

U

U U

U

X

X

� FIGURE 9.1 Office Relationship Chart Source: Adapted from Richard Muther, Simplified Systematic Layout Planning, 3rd ed. (Kansas City, Mgt. & Ind’l Research Publications). Used by permission of the publisher.

LO1: Discuss important issues in office layout

Office layout The grouping of workers, their equipment, and spaces/offices to provide for comfort, safety, and movement of information.

Chapter 9 Layout Strategies 279

1“Square Feet. Oh, How Square!” Business Week (July 3, 2006): 100–101.

Here are two examples:1

• When Deloitte & Touche found that 30% to 40% of desks were empty at any given time, the firm developed its “hoteling programs.” Consultants lost their permanent offices; anyone who plans to be in the building (rather than out with clients) books an office through a “concierge,” who hangs that consultant’s name on the door for the day and stocks the space with requested supplies.

• Cisco Systems cut rent and workplace service costs by 37% and saw productivity benefits of $2.4 billion per year by reducing square footage, reconfiguring space, creating movable, everything-on-wheels offices, and designing “get away from it all” innovation areas.

RETAIL LAYOUT Retail layouts are based on the idea that sales and profitability vary directly with customer expo- sure to products. Thus, most retail operations managers try to expose customers to as many prod- ucts as possible. Studies do show that the greater the rate of exposure, the greater the sales and the higher the return on investment. The operations manager can change exposure with store arrangement and the allocation of space to various products within that arrangement.

Five ideas are helpful for determining the overall arrangement of many stores:

1. Locate the high-draw items around the periphery of the store. Thus, we tend to find dairy products on one side of a supermarket and bread and bakery products on another. An exam- ple of this tactic is shown in Figure 9.2.

2. Use prominent locations for high-impulse and high-margin items. Best Buy puts fast-growing, high-margin digital goods—such as cameras and DVDs—in the front and center of its stores.

3. Distribute what are known in the trade as “power items”—items that may dominate a purchas- ing trip—to both sides of an aisle, and disperse them to increase the viewing of other items.

4. Use end-aisle locations because they have a very high exposure rate. 5. Convey the mission of the store by carefully selecting the position of the lead-off depart-

ment. For instance, if prepared foods are part of a supermarket’s mission, position the bak- ery and deli up front to appeal to convenience-oriented customers. Wal-Mart’s push to increase sales of clothes means those departments are in broad view upon entering a store.

Once the overall layout of a retail store has been decided, products need to be arranged for sale. Many considerations go into this arrangement. However, the main objective of retail layout is to maximize profitability per square foot of floor space (or, in some stores, on linear foot of shelf space). Big-ticket, or expensive, items may yield greater dollar sales, but the profit per square foot may be lower. Computerized programs are available to assist managers in evaluating the profitability of various merchandising plans for hundreds of categories: this technique is known as category management.

An additional, and somewhat controversial, issue in retail layout is called slotting. Slotting fees are fees manufacturers pay to get their goods on the shelf in a retail store or supermarket

Retail layout An approach that addresses flow, allocates space, and responds to customer behavior

LO2: Define the objectives of retail layout

WINE

BEER

DELI

FAST

FOOD

VIDEO

BAKERY

W A

L L O

F V

A L U

E S

PHOTO

LAB

DAIRY

PRODUCE

MEAT/FISH

CHEESE

SEA

FOOD ETHNIC

FOOD

CHECKSTANDS

� FIGURE 9.2 Store Layout with Dairy and Bakery, High-Draw Items, in Different Areas of the Store

AUTHOR COMMENT The goal in a retail layout is to

maximize profit per square foot of store space.

Slotting fees Fees manufacturers pay to get shelf space for their products.

280 PART 2 Designing Operations

Trying to penetrate urban areas that have lofty land prices and strong antidevelopment movements, Wal- Mart is changing its layout to up, not out. A new generation of multi-level stores take only one-third the space of the traditional 25-acre swaths. Here, in the El Cajon, California, store, Wal-Mart trained workers to help shoppers confused by the device next to the escalator that carries shopping carts from one floor to another.

chain. The result of massive new-product introductions, retailers can now demand up to $25,000 to place an item in their chain. During the last decade, marketplace economics, consolidations, and technology have provided retailers with this leverage. The competition for shelf space is advanced by POS systems and scanner technology, which improve supply-chain management and inventory control. Many small firms question the legality and ethics of slotting fees, claiming the fees stifle new products, limit their ability to expand, and cost consumers money. Wal-Mart is one of the few major retailers that does not demand slotting fees. This removes the barrier to entry that small companies usually face. (See the Ethical Dilemma in the Lecture Guide & Activities Manual.)

Servicescapes Although the main objective of retail layout is to maximize profit through product exposure, there are other aspects of the service that managers consider. The term servicescape describes the physi- cal surroundings in which the service is delivered and how the surroundings have a humanistic effect on customers and employees. To provide a good service layout, a firm considers three elements:

1. Ambient conditions, which are background characteristics such as lighting, sound, smell, and temperature. All these affect workers and customers and can affect how much is spent and how long a person stays in the building.

2. Spatial layout and functionality, which involve customer circulation path planning, aisle characteristics (such as width, direction, angle, and shelf spacing), and product grouping.

3. Signs, symbols, and artifacts, which are characteristics of building design that carry social significance (such as carpeted areas of a department store that encourage shoppers to slow down and browse).

Servicescape The physical surroundings in which a service takes place, and how they affect customers and employees.

A critical element contributing to the bottom line at Hard Rock Cafe is the layout of each cafe’s retail shop space. The retail space, from 600 to 1,300 square feet in size, is laid out in conjunction with the restaurant area to create the maximum traffic flow before and after eating. The payoffs for cafes like this one in London are huge. Almost half of a cafe’s annual sales are generated from these small shops, which have very high retail sales per square foot.

Chapter 9 Layout Strategies 281

Examples of each of these three elements of servicescape are:

• Ambient conditions: Fine-dining restaurants with linen tablecloths and candlelit atmosphere; Mrs. Field’s Cookie bakery smells permeating the shopping mall; leather chairs at Starbucks.

• Layout/functionality: Kroger’s long aisles and high shelves; Best Buy’s wide center aisle. • Signs, symbols, and artifacts: Wal-Mart’s greeter at the door; Hard Rock Cafe’s wall of guitars;

Disneyland’s entrance looking like hometown heaven.

WAREHOUSING AND STORAGE LAYOUTS The objective of warehouse layout is to find the optimum trade-off between handling cost and costs associated with warehouse space. Consequently, management’s task is to maximize the utilization of the total “cube” of the warehouse—that is, utilize its full volume while maintaining low material han- dling costs. We define material handling costs as all the costs related to the transaction. This consists of incoming transport, storage, and outgoing transport of the materials to be warehoused. These costs include equipment, people, material, supervision, insurance, and depreciation. Effective warehouse layouts do, of course, also minimize the damage and spoilage of material within the warehouse.

Management minimizes the sum of the resources spent on finding and moving material plus the deterioration and damage to the material itself. The variety of items stored and the number of items “picked” has direct bearing on the optimum layout. A warehouse storing a few unique items lends itself to higher density than a warehouse storing a variety of items. Modern ware- house management is, in many instances, an automated procedure using automated storage and retrieval systems (ASRSs).

The Stop & Shop grocery chain, with 350 supermarkets in New England, has recently com- pleted the largest ASRS in the world. The 1.3-million-square-foot distribution center in Freetown, Massachusetts, employs 77 rotating-fork automated storage and retrieval machines. These 77 cranes each access 11,500 pick slots on 90 aisles—a total of 64,000 pallets of food. The Wolfsburg, Germany parking garage photo (below) indicates that an ASRS can take many forms.

An important component of warehouse layout is the relationship between the receiving/ unloading area and the shipping/loading area. Facility design depends on the type of supplies unloaded, what they are unloaded from (trucks, rail cars, barges, and so on), and where they are unloaded. In some companies, the receiving and shipping facilities, or docks, as they are called, are even in the same area; sometimes they are receiving docks in the morning and shipping docks in the afternoon.

Warehouse layout A design that attempts to minimize total cost by addressing trade-offs between space and material handing.

Automated storage and retrieval systems are not found only in traditional warehouses. This parking garage in Wolfsburg, Germany, occupies only 20% of the space of a traditionally designed garage. The ASRS “retrieves” autos in less time, without the potential of the cars being damaged by an attendant.

AUTHOR COMMENT In warehouse layout, we want to maximize use of the whole

building—from floor to ceiling.

LO3: Discuss modern warehouse management and terms such as ASRS, cross- docking, and random stocking

282 PART 2 Designing Operations

Cross-Docking Cross-docking means to avoid placing materials or supplies in storage by processing them as they are received. In a manufacturing facility, product is received directly to the assembly line. In a distribution center, labeled and presorted loads arrive at the shipping dock for immediate rerouting, thereby avoiding formal receiving, stocking/storing, and order-selection activities. Because these activities add no value to the product, their elimination is 100% cost savings. Wal- Mart, an early advocate of cross-docking, uses the technique as a major component of its contin- uing low-cost strategy. With cross-docking, Wal-Mart reduces distribution costs and speeds

restocking of stores, thereby improving customer service. Although cross-docking reduces product handling, inventory, and facility costs, it requires both (1) tight scheduling and (2) accurate inbound product identification.

Random Stocking Automatic identification systems (AISs), usually in the form of bar codes, allow accurate

and rapid item identification. When automatic identification systems are combined with effective management information systems, operations managers know the quantity and location of every unit. This information can be used with human operators or with auto-

matic storage and retrieval systems to load units anywhere in the warehouse—randomly. Accurate inventory quantities and locations mean the potential utilization of the whole facil-

ity because space does not need to be reserved for certain stock-keeping units (SKUs) or part fam- ilies. Computerized random stocking systems often include the following tasks:

1. Maintaining a list of “open” locations 2. Maintaining accurate records of existing inventory and its locations 3. Sequencing items to minimize the travel time required to “pick” orders 4. Combining orders to reduce picking time 5. Assigning certain items or classes of items, such as high-usage items, to particular ware-

house areas so that the total distance traveled within the warehouse is minimized

Random stocking systems can increase facility utilization and decrease labor cost, but they require accurate records.

Customizing Although we expect warehouses to store as little product as possible and hold it for as short a time as possible, we are now asking warehouses to customize products. Warehouses can be places where value is added through customizing. Warehouse customization is a particularly useful way to generate competitive advantage in markets where products have multiple configu- rations. For instance, a warehouse can be a place where computer components are put together, software loaded, and repairs made. Warehouses may also provide customized labeling and pack- aging for retailers so items arrive ready for display.

Increasingly, this type of work goes on adjacent to major airports, in facilities such as the FedEx terminal in Memphis. Adding value at warehouses adjacent to major airports also facili- tates overnight delivery. For example, if your computer has failed, the replacement may be sent to you from such a warehouse for delivery the next morning. When your old machine arrives back at the warehouse, it is repaired and sent to someone else. These value-added activities at “quasi- warehouses” contribute to strategies of differentiation, low cost, and rapid response.

FIXED-POSITION LAYOUT In a fixed-position layout, the project remains in one place and workers and equipment come to that one work area. Examples of this type of project are a ship, a highway, a bridge, a house, and an operating table in a hospital operating room.

The techniques for addressing the fixed-position layout are complicated by three factors. First, there is limited space at virtually all sites. Second, at different stages of a project, different materials are needed; therefore, different items become critical as the project develops. Third, the volume of materials needed is dynamic. For example, the rate of use of steel panels for the hull of a ship changes as the project progresses.

Random stocking Used in warehousing to locate stock wherever there is an open location.

INBOUND

OUTBOUND

No delay

No storage

System in place for information

exchange and product movement

Customizing Using warehousing to add value to a product through component modification, repair, labeling, and packaging.

Fixed-position layout A system that addresses the layout requirements of stationary projects.

AUTHOR COMMENT Fixed-position layout brings all the workers and materials

to the project’s site.

Cross-docking Avoiding the placement of materials or supplies in storage by processing them as they are received for shipment.

Chapter 9 Layout Strategies 283

Because problems with fixed-position layouts are so difficult to solve well onsite, an alter- native strategy is to complete as much of the project as possible offsite. This approach is used in the shipbuilding industry when standard units—say, pipe-holding brackets—are assembled on a nearby assembly line (a product-oriented facility). In an attempt to add efficiency to ship- building, Ingall Ship Building Corporation has moved toward product-oriented production when sections of a ship (modules) are similar or when it has a contract to build the same sec- tion of several similar ships. Also, as the top photo on the page shows, many home builders are moving from a fixed-position layout strategy to one that is more product oriented. About one- third of all new homes in the U.S. are built this way. In addition, many houses that are built onsite (fixed position) have the majority of components such as doors, windows, fixtures, trusses, stairs, and wallboard built as modules with more efficient offsite processes.

PROCESS-ORIENTED LAYOUT A process-oriented layout can simultaneously handle a wide variety of products or services. This is the traditional way to support a product differentiation strategy. It is most efficient when making products with different requirements or when handling customers, patients, or clients with different

Here are three versions of the fixed-position layout. A house built via traditional fixed-position layout would be constructed onsite, with equipment, materials, and workers brought to the site. Then a “meeting of the trades” would assign space for various time periods. However, the home pictured here can be built at a much lower cost. The house is built in two movable modules in a factory. Scaffolding and hoists make the job easier, quicker, and cheaper, and the indoor work environment aids labor productivity.

A service example of a fixed-position layout is an operating room; the patient remains stationary on the table, and medical personnel and equipment are brought to the site.

In shipbuilding, there is limited space next to the fixed-position layout. Shipyards call these loading areas platens, and they are assigned for various time periods to each contractor.

LO4: Identify when fixed- position layouts are appropriate

Process-oriented layout A layout that deals with low- volume, high-variety production in which like machines and equipment are grouped together.

284 PART 2 Designing Operations

needs. A process-oriented layout is typically the low-volume, high-variety strategy discussed in Chapter 7. In this job-shop environment, each product or each small group of products undergoes a different sequence of operations. A product or small order is produced by moving it from one department to another in the sequence required for that product. A good example of the process- oriented layout is a hospital or clinic. Figure 9.3 illustrates the process for two patients, A and B, at an emergency clinic in Chicago. An inflow of patients, each with his or her own needs, requires routing through admissions, laboratories, operating rooms, radiology, pharmacies, nursing beds, and so on. Equipment, skills, and supervision are organized around these processes.

A big advantage of process-oriented layout is its flexibility in equipment and labor assign- ments. The breakdown of one machine, for example, need not halt an entire process; work can be transferred to other machines in the department. Process-oriented layout is also especially good for handling the manufacture of parts in small batches, or job lots, and for the production of a wide variety of parts in different sizes or forms.

The disadvantages of process-oriented layout come from the general-purpose use of the equipment. Orders take more time to move through the system because of difficult sched- uling, changing setups, and unique material handling. In addition, general-purpose equipment requires high labor skills, and work-in-process inventories are higher because of imbalances in the production process. High labor-skill needs also increase the required level of training and experience, and high work-in-process levels increase capital investment.

When designing a process layout, the most common tactic is to arrange departments or work centers so as to minimize the costs of material handling. In other words, departments with large flows of parts or people between them should be placed next to one another. Material handling costs in this approach depend on (1) the number of loads (or people) to be moved between two departments during some period of time and (2) the distance-related costs of moving loads (or people) between departments. Cost is assumed to be a function of distance between departments. The objective can be expressed as follows:

(9-1)

Process-oriented facilities (and fixed-position layouts as well) try to minimize loads, or trips, times distance-related costs. The term combines distance and other costs into one factor. We thereby assume not only that the difficulty of movement is equal but also that the pickup and setdown costs are constant. Although they are not always constant, for simplicity’s sake we summarize these data (that is, distance, difficulty, and pickup and setdown costs) in this one variable, cost. The best way to understand the steps involved in designing a process layout is to look at an example.

Cij

Cij = cost to move a load between department i and department j Xij = number of loads moved from department i to department j i, j = individual departments

where n = total number of work centers or departments

Minimize cost = a n

i=1 a n

j=1 XijCij

Job lots Groups or batches of parts processed together.

LO5: Explain how to achieve a good process- oriented facility layout

Surgery

Radiology

ER triage room Patient A–broken leg

Patient B–erratic heart pacemaker

Emergency room admissions

Laboratories

ER beds Pharmacy Billing/exit

� FIGURE 9.3

An Emergency Room Process Layout Showing the Routing of Two Patients

AUTHOR COMMENT Patient A (broken leg)

proceeds (blue arrow) to ER triage, to radiology, to surgery, to a bed, to

pharmacy, to billing. Patient B (pacemaker problem) moves (red arrow) to ER triage, to

surgery, to pharmacy, to lab, to a bed, to billing.

VIDEO 9.1 Layout at Arnold Palmer Hospital

Chapter 9 Layout Strategies 285

� EXAMPLE 1 Designing a process layout

Walters Company management wants to arrange the six departments of its factory in a way that will minimize interdepartmental material handling costs. They make an initial assumption (to simplify the problem) that each department is feet and that the building is 60 feet long and 40 feet wide.

APPROACH AND SOLUTION � The process layout procedure that they follow involves six steps:

STEP 1: Construct a “from–to matrix” showing the flow of parts or materials from department to department (see Figure 9.4).

20 * 20

� FIGURE 9.4

Interdepartmental Flow of Parts

Assembly (1)

Painting (2)

Machine Shop (3)

Receiving (4)

Shipping (5)

Testing (6)

50 100 0 0 20

30 50 10 0

0

0

20 0 100

Number of loads per week

Department

50

Assembly (1)

Painting (2)

Machine Shop (3)

Receiving (4)

Shipping (5)

Testing (6)

Area A

Assembly Department

(1)

Receiving Department

(4)

Area B

Painting Department

(2)

Shipping Department

(5)

Area C

Machine Shop Department

(3)

Testing Department

(6)

Area D Area E Area F

60'

40'

� FIGURE 9.5

Building Dimensions and One Possible Department Layout

Receiving (4)

100

50 30

50

10

100

20

50

20

Assembly (1)

Painting (2)

Machine Shop (3)

Shipping (5)

Testing (6)

� FIGURE 9.6

Interdepartmental Flow Graph Showing Number of Weekly Loads

STEP 2: Determine the space requirements for each department. (Figure 9.5 shows available plant space.)

STEP 3: Develop an initial schematic diagram showing the sequence of departments through which parts must move. Try to place departments with a heavy flow of materials or parts next to one another. (See Figure 9.6.)

AUTHOR COMMENT The high flows between

1 and 3 and between 3 and 6 are immediately apparent.

Departments 1, 3, and 6, therefore, should be

close together.

AUTHOR COMMENT Think of this as a starting,

initial, layout. Our goal is to improve it, if possible.

AUTHOR COMMENT This shows that 100 loads also move weekly between Assembly and the Machine

Shop. We will probably want to move these two

departments closer to one another to minimize the flow of parts through the factory.

286 PART 2 Designing Operations

� FIGURE 9.7

Second Interdepartmental Flow Graph

4 5 6

30

50 100

50

100

10

50 20 20

Receiving (4)

Assembly (1)

Painting (2)

Machine Shop (3)

Shipping (5)

Testing (6)

STEP 4: Determine the cost of this layout by using the material-handling cost equation:

For this problem, Walters Company assumes that a forklift carries all interdepartmental loads. The cost of moving one load between adjacent departments is estimated to be $1. Moving a load between nonadjacent departments costs $2. Looking at Figures 9.4 and 9.5, we thus see that the han- dling cost between departments 1 and 2 is $50 ($ loads), $200 between departments 1 and 3 ($ loads), $40 between departments 1 and 6 ($ loads), and so on. Work areas that are diagonal to one another, such as 2 and 4, are treated as adjacent. The total cost for the layout shown in Figure 9.6 is:

Cost � $50 � $200 � $40 � $30 � $50

(1 and 2) (1 and 3) (1 and 6) (2 and 3) (2 and 4)

� $10 � $40 � $100 � $50 (2 and 5) (3 and 4) (3 and 6) (4 and 5)

� $570

STEP 5. By trial and error (or by a more sophisticated computer program approach that we dis- cuss shortly), try to improve the layout pictured in Figure 9.5 to establish a better arrangement of departments.

By looking at both the flow graph (Figure 9.6) and the cost calculations, we see that placing depart- ments 1 and 3 closer together appears desirable. They currently are nonadjacent, and the high volume of flow between them causes a large handling expense. Looking the situation over, we need to check the effect of shifting departments and possibly raising, instead of lowering, overall costs.

One possibility is to switch departments 1 and 2. This exchange produces a second depart- mental flow graph (Figure 9.7), which shows a reduction in cost to $480, a savings in material handling of $90:

Cost � $50 � $100 � $20 � $60 � $50

(1 and 2) (1 and 3) (1 and 6) (2 and 3) (2 and 4)

� $10 � $40 � $100 � $50 (2 and 5) (3 and 4) (3 and 6) (4 and 5)

� $480

2 * 202 * 100 1 * 50

Cost = a n

i=1 a n

j=1 XijCij

Suppose Walters Company is satisfied with the cost figure of $480 and the flow graph of Figure 9.7. The problem may not be solved yet. Often, a sixth step is necessary:

STEP 6: Prepare a detailed plan arranging the departments to fit the shape of the building and its nonmovable areas (such as the loading dock, washrooms, and stairways). Often this step involves ensuring that the final plan can be accommodated by the electrical system, floor loads, aesthetics, and other factors.

In the case of Walters Company, space requirements are a simple matter (see Figure 9.8).

AUTHOR COMMENT Notice how Assembly and

Machine Shop are now adjacent. Testing stayed close

to the Machine Shop also.

Chapter 9 Layout Strategies 287

INSIGHT � This switch of departments is only one of a large number of possible changes. For a six-department problem, there are actually 720 (or 6! ) potential arrange- ments! In layout problems, we may not find the optimal solution and may have to be satisfied with a “reasonable” one.

LEARNING EXERCISE � Can you improve on the layout in Figures 9.7 and 9.8? [Answer: Yes, it can be lowered to $430 by placing Shipping in area A, Painting in area B, Assembly in area C, Receiving in area D (no change), Machine Shop in area E, and Testing in area F (no change).]

RELATED PROBLEMS � 9.1, 9.2, 9.3, 9.4, 9.5, 9.6, 9.7, 9.8, 9.9

EXCEL OM Data File Ch09Ex1.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 9.1 Example 1 is further illustrated in Active Model 9.1 at www.pearsonhighered.com/heizer.

= 6 * 5 * 4 * 3 * 2 * 1

Area A

Painting Department

(2)

Receiving Department

(4)

Area B

Assembly Department

(1)

Shipping Department

(5)

Area C

Machine Shop Department

(3)

Testing Department

(6)

Area D Area E Area F

� FIGURE 9.8

A Feasible Layout for Walters Company

Computer Software for Process-Oriented Layouts The graphic approach in Example 1 is fine for small problems. It does not, however, suffice for larger problems. When 20 departments are involved in a layout problem, more than 600 trillion different department configurations are possible. Fortunately, computer programs have been written to handle large layouts. These programs often add sophistication with flow- charts, multiple-story capability, storage and container placement, material volumes, time analysis, and cost comparisons. Such programs include CRAFT (Computerized Relative Allocation of Facilities Technique) (see Figure 9.9), Automated Layout Design program (ALDEP), Computerized Relationship Layout Planning (CORELAP), and Factory Flow. These programs tend to be interactive—that is, require participation by the user. And most only claim to provide “good,” not “optimal,” solutions.

� FIGURE 9.9

In This Six-Department Outpatient Hospital Example, (a) CRAFT Has Rearranged the Initial Layout, with a Cost of $20,100, into (b) the New Layout with a Lower Cost of $14,390.

A

A

D

C

F

E

A

A

D

C

F

E

A

A

D

D

F

E

A

A

D

D

F

E

B

B

D

D

F

E

B

B

D

D

D

D

1

2

3

4

5

6

TOTAL COST $20,100 EST. COST REDUCTION .00 ITERATION 0

TOTAL COST $14,390 EST. COST REDUCTION 5,710 ITERATION 3

(a) (b)

D

D

D

C

A

A

D

D

D

C

A

A

D

D

D

D

A

A

D

D

E

E

A

F

B

B

E

E

A

F

B

B

E

F

F

F

Legend:

A = X-ray/MRI rooms

B = laboratories

C = admissions

D = exam rooms

E = operating rooms

F = recovery rooms

AUTHOR COMMENT Here we see the departments moved to areas A–F to try to

improve the flow.

AUTHOR COMMENT CRAFT does this by

systematically testing pairs of departments to see if moving

them closer to each other lowers total cost.

288 PART 2 Designing Operations

WORK CELLS A work cell reorganizes people and machines that would ordinarily be dispersed in various depart- ments into a group so that they can focus on making a single product or a group of related products (Figure 9.10). Cellular work arrangements are used when volume warrants a special arrangement of machinery and equipment. In a manufacturing environment, group technology (Chapter 5) iden- tifies products that have similar characteristics and lend themselves to being processed in a particu- lar work cell. These work cells are reconfigured as product designs change or volume fluctuates. Although the idea of work cells was first presented by R. E. Flanders in 1925, only with the increas- ing use of group technology has the technique reasserted itself. The advantages of work cells are:

1. Reduced work-in-process inventory because the work cell is set up to provide one-piece flow from machine to machine.

2. Less floor space required because less space is needed between machines to accommodate work-in-process inventory.

3. Reduced raw material and finished goods inventories because less work-in-process allows more rapid movement of materials through the work cell.

4. Reduced direct labor cost because of improved communication among employees, better material flow, and improved scheduling.

5. Heightened sense of employee participation in the organization and the product: employees accept the added responsibility of product quality because it is directly associated with them and their work cell.

6. Increased equipment and machinery utilization because of better scheduling and faster material flow.

7. Reduced investment in machinery and equipment because good utilization reduces the num- ber of machines and the amount of equipment and tooling.

Requirements of Work Cells The requirements of cellular production include:

• Identification of families of products, often through the use of group technology codes or equivalents

• A high level of training, flexibility, and empowerment of employees • Being self-contained, with its own equipment and resources. • Test (poka-yoke) at each station in the cell

Work cells have at least five advantages over assembly lines and process facilities: (1) because tasks are grouped, inspection is often immediate; (2) fewer workers are needed; (3) workers can reach more of the work area; (4) the work area can be more efficiently

Work cell An arrangement of machines and personnel that focuses on making a single product or family of related products.

LO6: Define work cell and the requirements of a work cell

Contemporary software such as this from e-factory (UGS Corp.) allows operations managers to quickly place and connect symbols for factory equipment for a full three- dimensional view of the layout. Such presentations provide added insight into the issues of facility layout in terms of process, material handling, efficiency, and safety.

AUTHOR COMMENT Using work cells is a big step

toward manufacturing efficiency. They can make

jobs more interesting, save space, and cut inventory.

Chapter 9 Layout Strategies 289

Current layout–workers in small closed areas.

(a)

(b)

Improved layout—cross-trained workers can assist each other. May be able to add a third worker as added output is needed.

Improved layout—in U shape, workers have better access. Four cross-trained workers were reduced to three.

Material

Note in both (a) and (b) that U-shaped work cells can reduce material and employee movement. The U shape may also reduce space requirements, enhance communication, cut the number of workers, and make inspection easier.

Current layout—straight lines make it hard to balance tasks because work may not be divided evenly.

� FIGURE 9.10

Improving Layouts by Moving to the Work Cell Concept

balanced; and (5) communication is enhanced. Work cells are sometimes organized in a U shape, as shown on the right side of Figure 9.10.

About half of U.S. plants with fewer than 100 employees use some sort of cellular system, whereas 75% of larger plants have adopted cellular production methods. Bayside Controls in Queens, New York, for example, has in the past decade increased sales from $300,000 per year to $11 million. Much of the gain was attributed to its move to cellular manufacturing. As noted in the OM in Action box, Canon has had similar success with work cells.

Staffing and Balancing Work Cells Once the work cell has the appropriate equipment located in the proper sequence, the next task is to staff and balance the cell. Efficient production in a work cell requires appropriate staffing.

Look quickly at Canon’s factory near Tokyo, and you might think you stepped back a few decades. Instead of the swiftly moving assembly lines you might expect to see in a high- cost, sophisticated digital camera and photo copier giant, you see workers gathered in small groups called work cells. Each cell is responsible for one product or a small family of products. The product focus encourages employees to exchange ideas about how to improve the assembly process. They also accept more responsibility for their work.

Canon’s work cells have increased productivity by 30%. But how?

First, conveyor belts and their spare parts take up space, an expensive commodity in Japan. The shift to the cell system has freed 12 miles of conveyor-belt space at 54 plants and allowed Canon to close 29 parts warehouses, saving $280 million in real estate costs.

Employees are encouraged to work in ever-tighter cells, with prizes given to those who free up the most space.

Second, the cells enable Canon to change the product mix more quickly to meet market demands for innovative products—a big advantage as product life cycles become shorter and shorter.

Third, staff morale has increased because instead of performing a single task over and over, employees are trained to put together whole machines. Some of Canon’s fastest workers are so admired that they have become TV celebrities.

A layout change that improves morale while increasing productivity is a win–win for Canon.

Sources: The Wall Street Journal (September 27, 2004): R11; and Financial Times (September 23, 2003): 14.

OM in Action OMinAction� Work Cells Increase Productivity at Canon

290 PART 2 Designing Operations

This involves two steps. First, determine the takt time,2 which is the pace (frequency) of produc- tion units necessary to meet customer orders:

(9-2)

Second, determine the number of operators required. This requires dividing the total operation time in the work cell by the takt time:

(9-3)

Example 2 considers these two steps when staffing work cells.

Workers required = Total operation time required>Takt time

Takt time = Total work time available>Units required

Takt time Pace of production to meet customer demands.

EXAMPLE 2 � Staffing work cells

Stephen Hall’s company in Dayton makes auto mirrors. The major customer is the Honda plant nearby. Honda expects 600 mirrors delivered daily, and the work cell producing the mirrors is scheduled for 8 hours. Hall wants to determine the takt time and the number of workers required.

APPROACH � Hall uses Equations (9-2) and (9-3) and develops a work balance chart to help determine the time for each operation in the work cell, as well as total time.

SOLUTION �

Therefore, the customer requirement is one mirror every 48 seconds. The work balance chart in Figure 9.11 shows that 5 operations are necessary, for a total operation

time of 140 seconds:

= 140>48 = 2.92 = 150 + 45 + 10 + 20 + 152>48

Workers required = Total operation time required>Takt time

Takt time = 18 hours * 60 minutes2>600 units = 480>600 = .8 minute = 48 seconds

Operations

50

40

30

20

10

Assemble Paint Test Label

S ta

n d

a rd

t im

e re

q u

ir e d

( s e c o

n d

s )

60

Pack for shipping

� FIGURE 9.11 Work Balance Chart for

Mirror Production

INSIGHT � To produce one unit every 48 seconds will require 2.92 people. With three operators this work cell will be producing one unit each 46.67 seconds ( ) and 617 units per day ( seconds for each ).

LEARNING EXERCISE � If testing time is expanded to 20 seconds, what is the staffing requirement? [Answer: 3.125 employees.]

RELATED PROBLEM � 9.10

unit = 617480 minutes available * 60 seconds2>46.67 140 seconds>3 employees = 46.67

A work balance chart (like the one in Example 2) is also valuable for evaluating the operation times in work cells. Some consideration must be given to determining the bottleneck operation. Bottleneck operations can constrain the flow through the cell. Imbalance in a work cell is seldom an issue if the operation is manual, as cell members by definition are part of a cross-trained team.

2Takt is German for “time,” “measure,” or “beat” and is used in this context as the rate at which completed units must be produced to satisfy customer demand.

Chapter 9 Layout Strategies 291

Consequently, the inherent flexibility of work cells typically overcome modest imbalance issues within a cell. However, if the imbalance is a machine constraint, then an adjustment in machin- ery, process, or operations may be necessary. In such situations the use of traditional assembly- line-balancing analysis, the topic of our next section, may be helpful.

In many arrangements, without cells and without cross training, if one operation is halted for whatever reason (reading a drawing, getting a tool, machine maintenance, etc.), the entire flow stops. Multiple-operator cells are therefore preferred. However, we should note that the increas- ing capability of multitasking machines can complicate work cell design and staffing.

The success of work cells is not limited to manufacturing. Kansas City’s Hallmark, which has over half the U.S. greeting card market and produces some 40,000 different cards, has modified the offices into a cellular design. In the past, its 700 creative professionals would take up to 2 years to develop a new card. Hallmark’s decision to create work cells consisting of artists, writ- ers, lithographers, merchandisers, and accountants, all located in the same area, has resulted in card preparation in a fraction of the time that the old layout required. Work cells have also yielded higher performance and better service for the American Red Cross blood donation process.3

Commercial software, such as ProPlanner and Factory Flow, is available to aid managers in their move to work cells. These programs typically require information that includes AutoCAD layout drawings; part routing data; and cost, times, and speeds of material handling systems.

The Focused Work Center and the Focused Factory When a firm has identified a family of similar products that have a large and stable demand, it may organize a focused work center. A focused work center moves production from a general-purpose, process-oriented facility to a large work cell that remains part of the present plant. If the focused work center is in a separate facility, it is often called a focused factory. A fast-food restaurant is a focused factory—most are easily reconfigured for adjustments to product mix and volume. Burger King, for example, changes the number of personnel and task assignments rather than moving machines and equipment. In this manner, Burger King bal- ances the assembly line to meet changing production demands. In effect, the “layout” changes numerous times each day.

The term focused factories may also refer to facilities that are focused in ways other than by product line or layout. For instance, facilities may be focused in regard to meeting quality, new product introduction, or flexibility requirements.

Focused facilities in both manufacturing and services appear to be better able to stay in tune with their customers, to produce quality products, and to operate at higher margins. This is true whether they are steel mills like CMC, Nucor, or Chaparral; restaurants like McDonald’s and Burger King; or a hospital like Arnold Palmer.

Table 9.2 summarizes our discussion of work cells, focused work centers, and focused factories.

Work Cell Focused Work Center Focused Factory

Description A work cell is a temporary product-oriented arrangement of machines and personnel in what is ordinarily a process- oriented facility

A focused work center is a permanent product- oriented arrangement of machines and personnel in what is ordinarily a process-oriented facility

A focused factory is a permanent facility to produce a product or component in a product- oriented facility. Many of the focused factories currently being built were originally part of a process-oriented facility

Example A job shop with machinery and personnel rearranged to produce 300 unique control panels

Pipe bracket manufacturing at a shipyard

A plant to produce window mechanisms or seat belts for automobiles

3Mark Pagell and Steven A. Melnyk, “Assessing the Impact of Alternative Manufacturing Layouts in a Service Setting,” Journal of Operations Management 22 (2004): 413–429.

Focused work center A permanent or semi- permanent product-oriented arrangement of machines and personnel.

Focused factory A facility designed to produce similar products or components.

� TABLE 9.2 Work Cells, Focused Work Centers, and the Focused Factory

292 PART 2 Designing Operations

REPETITIVE AND PRODUCT-ORIENTED LAYOUT Product-oriented layouts are organized around products or families of similar high-volume, low- variety products. Repetitive production and continuous production, which are discussed in Chapter 7, use product layouts. The assumptions are that:

1. Volume is adequate for high equipment utilization 2. Product demand is stable enough to justify high investment in specialized equipment 3. Product is standardized or approaching a phase of its life cycle that justifies investment in

specialized equipment 4. Supplies of raw materials and components are adequate and of uniform quality (adequately

standardized) to ensure that they will work with the specialized equipment

Two types of a product-oriented layout are fabrication and assembly lines. The fabrication line builds components, such as automobile tires or metal parts for a refrigerator, on a series of machines, while an assembly line puts the fabricated parts together at a series of workstations. However, both are repetitive processes, and in both cases, the line must be “balanced”: That is, the time spent to perform work on one machine must equal or “balance” the time spent to per- form work on the next machine in the fabrication line, just as the time spent at one workstation by one assembly-line employee must “balance” the time spent at the next workstation by the next employee. The same issues arise when designing the “disassembly lines” of slaughter- houses and automobile makers (see the OM in Action box “From Assembly Lines to Green Disassembly Lines”).

Fabrication lines tend to be machine-paced and require mechanical and engineering changes to facilitate balancing. Assembly lines, on the other hand, tend to be paced by work tasks assigned to individuals or to workstations. Assembly lines, therefore, can be balanced by moving tasks from one individual to another. The central problem, then, in product-oriented layout plan- ning is to balance the tasks at each workstation on the production line so that it is nearly the same while obtaining the desired amount of output.

Management’s goal is to create a smooth, continuing flow along the assembly line with a min- imum of idle time at each workstation. A well-balanced assembly line has the advantage of high

LO7: Define product- oriented layout

Fabrication line A machine-paced, product- oriented facility for building components.

Assembly line An approach that puts fabricated parts together at a series of workstations; used in repetitive processes.

Almost 100 years have passed since assembly lines were developed to make automobiles—and now we’re developing disassembly lines to take them apart. Sprawling graveyards of rusting cars and trucks bear testimony to the need for automotive disassembly lines. But those graveyards are slowly beginning to shrink as we learn the art of automobile disassembly. New disassembly lines now take apart so many automobiles that recycling is the 16th-largest industry in the U.S. The motivation for this disassembly comes from many sources, including mandated industry recycling standards and a growing consumer interest in purchasing cars based on how “green” they are.

New car designs have traditionally been unfriendly to recyclers, with little thought given to disassembly. However, manufacturers now design in such a way that materials can be easily reused in the next generation of cars. The 2009 Mercedes S-class is 95% recyclable and already meets the 2015 EU standard. BMW has disassembly plants in Europe and Japan as well as U.S. salvage centers in New York, Los Angeles, and Orlando. A giant 200,000-square-foot facility in Baltimore (called CARS) can disassemble up to 30,000 vehicles per year. At CARS’s initial “greening

station,” special tools puncture tanks and drain fluids, and the battery and gas tank are removed. Then on a semi- automated track, which includes a giant steel vise that can flip a 7,500-pound car upside-down, wheels, doors, hood, and trunk are removed; next come the interior items; then plastic parts are removed and sorted for recycling; then glass and interior and trunk materials. Eventually the chassis is in a bale and sold as a commodity to minimills that use scrap steel.

Disassembly lines are not easy. Some components, like air bags, are hard to handle, dangerous, and take time to disassemble. Reusable parts are bar coded and entered into a database. Various color-coded plastics must be recycled differently to support being remelted and turned into new parts, such as intake manifolds. After the engines, transmissions, radios, and exhausts have been removed, the remaining metal parts of the disassembly line are easier: with shredders and magnets, baseball-sized chunks of metal are sorted. Assembly lines put cars together, and disassembly lines take them apart.

Sources: The Wall Street Journal (April 29, 2008): A1, A9; The New York Times (September 19, 2005): D5; and Automotive Industry Trends (March 2004).

OM in Action � From Assembly Lines to Green Disassembly Lines

AUTHOR COMMENT The traditional assembly line handles repetitive production.

Chapter 9 Layout Strategies 293

Assembly-line balancing Obtaining output at each workstation on a production line so delay is minimized.

personnel and facility utilization and equity among employees’ work loads. Some union con- tracts require that work loads be nearly equal among those on the same assembly line. The term most often used to describe this process is assembly-line balancing. Indeed, the objective of the product-oriented layout is to minimize imbalance in the fabrication or assembly line.

The main advantages of product-oriented layout are:

1. The low variable cost per unit usually associated with high-volume, standardized products 2. Low material handling costs 3. Reduced work-in-process inventories 4. Easier training and supervision 5. Rapid throughput

The disadvantages of product layout are:

1. The high volume required because of the large investment needed to establish the process 2. Work stoppage at any one point ties up the whole operation 3. A lack of flexibility when handling a variety of products or production rates

Because the problems of fabrication lines and assembly lines are similar, we focus our dis- cussion on assembly lines. On an assembly line, the product typically moves via automated means, such as a conveyor, through a series of workstations until completed. This is the way fast-food hamburgers are made (see Figure 9.12), automobiles and some planes (see the photo of the Boeing 737 on the next page) are assembled, television sets and ovens are produced. Product-oriented layouts use more automated and specially designed equipment than do process layouts.

Assembly-Line Balancing Line balancing is usually undertaken to minimize imbalance between machines or personnel while meeting a required output from the line. To produce at a specified rate, management must know the tools, equipment, and work methods used. Then the time requirements for each assem- bly task (e.g., drilling a hole, tightening a nut, or spray-painting a part) must be determined. Management also needs to know the precedence relationship among the activities—that is, the sequence in which various tasks must be performed. Example 3 shows how to turn these task data into a precedence diagram.

VIDEO 9.2 Facility Layout at Wheeled Coach

Ambulances

LO8: Explain how to balance production flow in a repetitive or product- oriented facility

2

1

5

43

2. Bun toasting1. Order

11 20 14 0 45

0:11

Task

Elapsed time

Task time (seconds)

0:00 0:31 0:45 1:30

Order read on a video screen

Toaster Condiments

More personnel added during busy periods

5. Order picked up immediately to keep it fresh

Heated cabinet for the grilled patties

Buns

3. Assembly with condiments

4. Wrapping of patty with bun

6. Customer service (order and payment)

Heated landing pad

6

� FIGURE 9.12 McDonald’s Hamburger Assembly Line

294 PART 2 Designing Operations

EXAMPLE 3 � Developing a precedence diagram for an assembly line

Boeing wants to develop a precedence diagram for an electrostatic wing component that requires a total assembly time of 66 minutes.

APPROACH � Staff gather tasks, assembly times, and sequence requirements for the component in Table 9.3.

Task Assembly Time

(minutes)

Task Must Follow Task Listed

Below

A 10 — This means that B 11 A tasks B and E C 5 B cannot be done D 4 B until task A has E 12 A been completed. F 3 C, D G 7 F H 11 E I 3 G, H

Total time 66

� TABLE 9.3 Precedence Data

for Wing Component

11

12

4

5

3

11

7

F

10 minutes

I

3

A B

E

D

C

H

G

� FIGURE 9.13 Precedence Diagram

SOLUTION � Figure 9.13 shows the precedence diagram.

The Boeing 737, the world’s most popular commercial airplane, is produced on a moving production line, traveling at 2 inches a minute through the final assembly process. The moving line, one of several lean manufacturing innovations at the Renton, Washington, facility, has enhanced quality, reduced flow time, slashed inventory levels, and cut space requirements. Final assembly is only 11 days— a time savings of 50%—and inventory is down more than 55%. Boeing has expanded the moving line concept to its 747 jumbo jet.

Chapter 9 Layout Strategies 295

INSIGHT � The diagram helps structure an assembly line and workstations, and it makes it easier to visualize the sequence of tasks.

LEARNING EXERCISE � If task D had a second preceding task (C), how would Figure 9.13 change? [Answer: There would also be an arrow pointing from C to D.]

RELATED PROBLEMS � 9.12a, 9.14a, 9.15a, 9.16a, 9.19a

Once we have constructed a precedence chart summarizing the sequences and performance times, we turn to the job of grouping tasks into job stations so that we can meet the specified pro- duction rate. This process involves three steps:

1. Take the units required (demand or production rate) per day and divide it into the productive time available per day (in minutes or seconds). This operation gives us what is called the cycle time4—namely, the maximum time allowed at each workstation if the production rate is to be achieved:

(9-4)

2. Calculate the theoretical minimum number of workstations. This is the total task-duration time (the time it takes to make the product) divided by the cycle time. Fractions are rounded to the next higher whole number:

(9-5)

where n is the number of assembly tasks. 3. Balance the line by assigning specific assembly tasks to each workstation. An efficient bal-

ance is one that will complete the required assembly, follow the specified sequence, and keep the idle time at each workstation to a minimum. A formal procedure for doing this is the following: a. Identify a master list of tasks. b. Eliminate those tasks that have been assigned. c. Eliminate those tasks whose precedence relationship has not been satisfied. d. Eliminate those tasks for which inadequate time is available at the workstation. e. Use one of the line-balancing “heuristics” described in Table 9.4. The five choices are

(1) longest task time, (2) most following tasks, (3) ranked positional weight, (4) shortest

Minimum number of workstations = a n

i=1 Time for task i

Cycle time

Cycle time = Production time available per day

Units required per day

Cycle time The maximum time that a product is allowed at each workstation.

4Cycle time is the actual time to accomplish a task or process step. Several process steps may be necessary to complete the product. Takt time, discussed earlier, is determined by the customer and is the speed at which completed units must be produced to satisfy customer demand.

1. Longest task (operation) time From the available tasks, choose the task with the largest (longest) time.

2. Most following tasks From the available tasks, choose the task with the largest number of following tasks.

3. Ranked positional weight From the available tasks, choose the task for which the sum of the times for each following task is longest. (In Example 4 we see that the ranked positional weight of task C = 5(C) + 3(F) + 7(G) + 3(I) = 18, whereas the ranked positional weight of task D = 4(D) + 3(F) + 7(G) + 3(I) =17; therefore, C would be chosen first, using this heuristic.)

4. Shortest task (operations) time From the available tasks, choose the task with the shortest task time. 5. Least number of following tasks From the available tasks, choose the task with the least number of

subsequent tasks.

� TABLE 9.4 Layout Heuristics That May Be Used to Assign Tasks to Workstations in Assembly- Line Balancing

296 PART 2 Designing Operations

task time, and (5) least number of following tasks. You may wish to test several of these heuristics to see which generates the “best” solution—that is, the smallest number of workstations and highest efficiency. Remember, however, that although heuristics pro- vide solutions, they do not guarantee an optimal solution.

Example 4 illustrates a simple line-balancing procedure.

EXAMPLE 4 � Balancing the assembly line

Heuristic Problem solving using procedures and rules rather than mathematical optimization.

On the basis of the precedence diagram and activity times given in Example 3, Boeing determines that there are 480 productive minutes of work available per day. Furthermore, the production schedule requires that 40 units of the wing component be completed as output from the assembly line each day. It now wants to group the tasks into workstations.

APPROACH � Following the three steps above, we compute the cycle time using Equation (9-4) and minimum number of workstations using Equation (9-5), and we assign tasks to workstations—in this case using the most following tasks heuristic.

SOLUTION �

Figure 9.14 shows one solution that does not violate the sequence requirements and that groups tasks into six one-person stations. To obtain this solution, activities with the most following tasks were moved into workstations to use as much of the available cycle time of 12 minutes as possible. The first workstation consumes 10 minutes and has an idle time of 2 minutes.

= 5.5 or 6 stations

Minimum number of workstations = Total task time

Cycle time =

66

12

= 12 minutes>unit

Cycle time 1in minutes2 = 480 minutes

40 units

Station 2

Station 1

Station 3 Station 5

Station 6

Station 4

10 min

A

11 min

B

3 min

F

7 min

5 min

C

4 min

D

12 min

E

11 min

H

3 min

I

G

� FIGURE 9.14 A Six-Station Solution to the Line-Balancing

Problem

INSIGHT � This is a reasonably well-balanced assembly line. The second workstation uses 11 minutes, and the third consumes the full 12 minutes. The fourth workstation groups three small tasks and balances perfectly at 12 minutes. The fifth has 1 minute of idle time, and the sixth (con- sisting of tasks G and I) has 2 minutes of idle time per cycle. Total idle time for this solution is 6 minutes per cycle.

LEARNING EXERCISE � If task I required 6 minutes (instead of 3 minutes), how would this change the solution? [Answer: The cycle time would not change, and the theoretical minimum number of workstations would still be 6 (rounded up from 5.75), but it would take 7 stations to balance the line.]

RELATED PROBLEMS � 9.11, 9.12, 9.13, 9.14, 9.15, 9.16, 9.17, 9.18, 9.19, 9.20, 9.21, 9.22, 9.23

EXCEL OM Data File Ch09Ex4.xls can be found at www.pearsonhighered.com/heizer.

AUTHOR COMMENT Tasks C, D, and F can be grouped together in one

workstation, provided that the physical facilities and skill

levels meet the work requirements.

Chapter 9 Layout Strategies 297

We can compute the efficiency of a line balance by dividing the total task time by the product of the number of workstations required times the assigned (actual) cycle time of the longest workstation:

(9-6)

Operations managers compare different levels of efficiency for various numbers of workstations. In this way, a firm can determine the sensitivity of the line to changes in the production rate and workstation assignments.

Efficiency = © Task times

1Actual number of workstations2 * 1Largest assigned cycle time2

� EXAMPLE 5 Determining line efficiency

Boeing needs to calculate the balance efficiency for Example 4.

APPROACH � Equation (9-6) is applied.

SOLUTION �

Note that opening a seventh workstation, for whatever reason, would decrease the efficiency of the balance to 78.6% (assuming that at least one of the workstations still required 12 minutes):

INSIGHT � Increasing efficiency may require that some tasks be divided into smaller elements and reassigned to other tasks. This facilitates a better balance between workstations and means higher efficiency.

LEARNING EXERCISE � What is the efficiency if an eighth workstation is opened? [Answer: ]

RELATED PROBLEMS � 9.12f, 9.13c, 9.14f, 9.16c, 9.17b, 9.18b, 9.19e,g

Efficiency = 68.75%.

Efficiency = 66 minutes

17 stations2 * 112 minutes2 = 78.6%

Efficiency = 66 minutes

16 stations2 * 112 minutes2 =

66

72 = 91.7%

Large-scale line-balancing problems, like large process-layout problems, are often solved by computers. Several computer programs are available to handle the assignment of workstations on assembly lines with 100 (or more) individual work activities. Two computer routines, COM- SOAL (Computer Method for Sequencing Operations for Assembly Lines) and ASYBL (General Electric’s Assembly Line Configuration program), are widely used in larger problems to evaluate the thousands, or even millions, of possible workstation combinations much more efficiently than could ever be done by hand.

In the case of slaughtering operations, the assembly line is actually a disassembly line. The line- balancing procedures described in this chapter are the same as for an assembly line. The chicken- processing plant shown here must balance the work of several hundred employees. The total labor content in each of the chickens processed is a few minutes.

298 PART 2 Designing Operations

CHAPTER SUMMARY Layouts make a substantial difference in operating efficiency. The seven layout situations discussed in this chapter are (1) office, (2) retail, (3) warehouse, (4) fixed position, (5) process oriented, (6) work cells, and (7) product oriented. A variety of techniques have been developed to solve these layout problems. Office layouts often seek to maximize infor- mation flows, retail firms focus on product exposure, and warehouses attempt to optimize the trade-off between storage space and material handling cost.

The fixed-position layout problem attempts to minimize material handling costs within the constraint of limited space at the site. Process layouts minimize travel distances

times the number of trips. Product lay- outs focus on reducing waste and the imbalance in an assembly line. Work cells are the result of identifying a fam- ily of products that justify a special con- figuration of machinery and equipment that reduces material travel and adjusts imbalances with cross-trained personnel.

Often, the issues in a layout problem are so wide-ranging that finding an optimal solution is not possible. For this rea- son, layout decisions, although the subject of substantial research effort, remain something of an art.

Key Terms

Office layout (p. 278) Retail layout (p. 279) Slotting fees (p. 279) Servicescape (p. 280) Warehouse layout (p. 281) Cross-docking (p. 282) Random stocking (p. 282)

Customizing (p. 282) Fixed-position layout (p. 282) Process-oriented layout (p. 283) Job lots (p. 284) Work cell (p. 288) Takt time (p. 290) Focused work center (p. 291)

Focused factory (p. 291) Fabrication line (p. 292) Assembly line (p. 292) Assembly-line balancing (p. 293) Cycle time (p. 295) Heuristic (p. 296)

Using Software to Solve Layout Problems In addition to the many commercial software packages available for addressing layout problems, Excel OM and POM for Windows, both of which accompany this text, contain modules for the process prob- lem and the assembly-line-balancing problem.

X Using Excel OM Excel OM can assist in evaluating a series of department work assignments like the one we saw for the Walters Company in Example 1. The layout module can generate an optimal solution by enumeration or by computing the “total movement” cost for each layout you wish to examine. As such, it provides a speedy calculator for each flow–distance pairing.

Program 9.1 illustrates our inputs in the top two tables. We first enter department flows, then provide distances between work areas. Entering area assignments on a trial-and-error basis in the upper left of the top table generates movement computations at the bottom of the screen. Total movement is recalcu- lated each time we try a new area assignment. It turns out that the assignment shown is optimal at 430 feet of movement.

Chapter 9 Layout Strategies 299

= C28*F28

Lookup the cost as = INDEX ($D$16: $I$21, D28, E28).

Get the loads from the load table above using = INDEX ($D$8: $I$13, A28, B28).

Calculations continue below row 30.

Columns A and B together contain all possible 6 by 6 = 36 combinations of pairs of areas.

� PROGRAM 9.1 Using Excel OM’s Process Layout Module to Solve the Walters Company Problem in Example 1

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 9.1 Aero Maintenance is a small aircraft engine maintenance facility located in Wichita, Kansas. Its new administrator, Ann Daniel, decides to improve material flow in the facility, using the process- layout method she studied at Wichita State University. The current layout of Aero Maintenance’s eight departments is shown in Figure 9.15.

The only physical restriction perceived by Daniel is the need to keep the entrance in its current location. All other departments can be moved to a different work area (each 10 feet square) if lay- out analysis indicates a move would be beneficial.

Receiving (2)

Entrance (1)

Parts (3)

Metallurgy (4)

Breakdown (5)

Assembly (6)

Inspection (7)

Test (8)

40'

10'

10'

Current Aero Maintenance Layout Area A

Area E

Area B

Area F

Area C

Area G

Area D

Area H

� FIGURE 9.15 Aero Maintenance Layout

P Using POM for Windows The POM for Windows facility layout module can be used to place up to 10 departments in 10 rooms to minimize the total distance traveled as a function of the distances between the rooms and the flow between departments. The program exchanges departments until no exchange will reduce the total amount of movement, meaning an optimal solution has been reached.

The POM for Windows and Excel OM modules for line balancing can handle a line with up to 99 tasks, each with up to 6 immediate predecessors. In this program, cycle time can be entered either (1) given, if known, or (2) the demand rate can be entered with time available as shown. All five “heuristic rules” are used: (1) longest operation (task) time, (2) most following tasks, (3) ranked positional weight, (4) shortest operation (task) time, and (5) least number of following tasks. No one rule can guarantee an optimal solution, but POM for Windows displays the number of stations needed for each rule.

Appendix IV discusses further details regarding POM for Windows.

300 PART 2 Designing Operations

Department

Entrance (1)

Receiving (2)

Parts (3)

Entrance (1)

Receiving (2)

Parts (3)

Metallurgy (4)

Breakdown (5)

Assembly (6)

Inspection (7)

Test (8)

Metallurgy (4)

Breakdown (5)

Assembly (6)

Inspection (7)

Test (8)

100

0

30

100 0 0 0 0 0

50 20 0 0 0

30 0 0 0

20 0 0 20

20 0 10

30 0

0

� FIGURE 9.16 Number of Material Movements (Loads) between Departments in One Month

� SOLUTION First, establish Aero Maintenance’s current layout, as shown in Figure 9.17. Then, by analyzing the current layout, compute material movement:

Total movement � (100 � 10�) � (100 � 20�) � (50 � 20�) � (20 � 10�)

1 to 2 1 to 3 2 to 4 2 to 5

� (30 � 10�) � (30 � 20�) � (20 � 30�) � (20 � 10�)

3 to 4 3 to 5 4 to 5 4 to 8

� (20 � 10�) � (10 � 30�) � (30 � 10�)

5 to 6 5 to 8 6 to 7

�1,000 � 2,000 � 1,000 � 200 � 300 � 600 � 600 � 200 � 200 � 300 � 300

�6,700 feet

First, Daniel analyzes records to determine the number of material movements among departments in an average month. These data are shown in Figure 9.16. Her objective, Daniel decides, is to lay out the departments so as to minimize the total movement (distance traveled) of material in the facility. She writes her objective as:

where Xij � number of material movements per month (loads or trips) moving from department i to department j

Cij � distance in feet between departments i and j (which, in this case, is the equivalent of cost per load to move between departments)

Minimize material movement = a 8

i= 1 a 8

j= 1 XijCij

Note that this is only a slight modification of the cost-objective equation shown earlier in the chapter.

Daniel assumes that adjacent departments, such as entrance (now in work area A) and receiving (now in work area B), have a walking distance of 10 feet. Diagonal departments are also con- sidered adjacent and assigned a distance of 10 feet. Nonadjacent departments, such as the entrance and parts (now in area C) or the entrance and inspection (area G) are 20 feet apart, and non- adjacent rooms, such as entrance and metallurgy (area D), are 30 feet apart. (Hence, 10 feet is considered 10 units of cost, 20 feet is 20 units of cost, and 30 feet is 30 units of cost.)

Given the above information, redesign Aero Maintenance’s layout to improve its material flow efficiency.

Chapter 9 Layout Strategies 301

100 trips

100

20

30

20 30

20

50

10

20 30

Entrance (1)

Receiving (2)

Parts (3)

Metallurgy (4)

Breakdown (5)

Assembly (6)

Inspection (7)

Test (8)

� FIGURE 9.17 Current Material Flow

20

30

20

100 20

30

20

100 50

10 30

Entrance (1)

Receiving (2)

Parts (3)

Metallurgy (4)

Breakdown (5)

Assembly (6)

Inspection (7)

Test (8)

� FIGURE 9.18 Improved Layout

Propose a new layout that will reduce the current figure of 6,700 feet. Two useful changes, for example, are to switch departments 3 and 5 and to interchange departments 4 and 6. This change would result in the schematic shown in Figure 9.18:

Total movement � (100 � 10�) � (100 � 10�) � (50 � 10�) � (20 � 10�)

1 to 2 1 to 3 2 to 4 2 to 5

� (30 � 10�) � (30 � 20�) � (20 � 10�) � (20 � 20�)

3 to 4 3 to 5 4 to 5 4 to 8

� (20 � 10�) � (10 � 10�) � (30 � 10�)

5 to 6 5 to 8 6 to 7

�1,000 � 1,000 � 500 � 200 � 300 � 600 � 200 � 400 � 200 � 100 � 300

�4,800 feet

Do you see any room for further improvement?

� SOLVED PROBLEM 9.2 The assembly line whose activities are shown in Figure 9.19 has an 8-minute cycle time. Draw the precedence graph and find the minimum possible number of one-person workstations. Then arrange the work activities into workstations so as to balance the line. What is the efficiency of your line balance?

Task Performance

Time (minutes) Task Must

Follow This Task

A 5 — B 3 A C 4 B D 3 B E 6 C F 1 C G 4 D, E, F H 2 G

28

302 PART 2 Designing Operations

Bibliography Birchfield, J. C., and J. Birchfield. Design and Layout of Foodservice

Facilities, 3rd ed. New York, Wiley & Sons, 2007. Francis, R. L., L. F. McGinnis, and J. A. White. Facility Layout and

Location, 3rd ed. Upper Saddle River, NJ: Prentice Hall, 1998. Gultekin, H., O. Y. Karasan, and M. S. Akturk. “Pure Cycles in

Flexible Robotic Cells.” Computers & Operations Research 36, no. 2 (February 2009): 329.

Heragu, S. S. Facilities Design, 3rd ed. New York: CRC Press, 2008. Heyer, N., and U. Wemmerlöv. Reorganizing the Factory:

Competing through Cellular Manufacturing. Portland, OR: Productivity Press, 2002.

Johnson, Alan. “Getting the Right Factory Layout.” Manufacturer’s Monthly (July 2008): 16.

Kator, C. “Crossdocking on the Rise.” Modern Materials Handling 63, no. 6 (June 2008): 15.

Kee, Micah R. “The Well-Ordered Warehouse.” APICS: The Performance Advantage (March 2003): 20–24.

Keeps, David A. “Out-of-the-Box Offices.” Fortune 159, no.1 (January 19, 2009): 45.

Larson, S. “Extreme Makover—OR Edition.” Nursing Management (November 2005): 26.

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Microfix, Inc.: This company needs to balance its PC manufacturing assembly line and deal with sensitivity analysis of time estimates.

Panchalavarapu, P. R., and V. Chankong. “Design of Cellular Manufacturing System with Assembly Considerations.” Computers & Industrial Engineering 48, no. 3 (May 2005): 448.

Roodbergen, K. J., and I. F. A. Vis. “A Model for Warehouse Layout.” IIE Transactions 38, no. 10 (October 2006): 799–811.

Stanowy, A. “Evolutionary Strategy for Manufacturing Cell Design.” Omega 34, no. 1 (January 2006): 1.

Tompkins, James A. Facility Planning, 4th ed. New York: Wiley, 2009.

Upton, David. “What Really Makes Factories Flexible?” Harvard Business Review 73, no. 4 (July–August 1995): 74–84.

Zeng, A. Z., M. Mahan, and N. Fleut. “Designing an Efficient Warehouse Layout to Facilitate the Order-Filling Process.” Production and Inventory Management Journal 43, no. 3–4 (3rd/4th Quarter 2002): 83–88.

Zhao, T., and C. L. Tseng. “Flexible Facility Interior Layout.” The Journal of the Operational Research Society 58, no. 6 (June 2007): 729–740.

A

35

B

4

C

3

D

1

F

6

E

G

2

H

4

Workstation 1

Workstation 2

Workstation 3

Workstation 4

� FIGURE 9.19 Four-Station Solution to the Line-Balancing Problem

� SOLUTION The theoretical minimum number of workstations is:

The precedence graph and one good layout are shown in Figure 9.19.

Efficiency = Total task time

1Number of workstations2 * 1Largest cycle time2 =

28

142182 = 87.5%

©ti Cycle time

= 28 minutes

8 minutes = 3.5, or 4 stations

Human Resources, Job Design, and

Work Measurement

Chapter Outline

GLOBAL COMPANY PROFILE: RUSTY WALLACE’S NASCAR RACING TEAM

Human Resource Strategy for Competitive Advantage 306

Labor Planning 307

Job Design 308

Ergonomics and the Work Environment 311

Methods Analysis 314

The Visual Workplace 315

Labor Standards 317

Ethics 328 � Ten OM Strategy Decisions

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies � Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

303

GLOBAL COMPANY PROFILE: RUSTY WALLACE’S NASCAR RACING TEAM

HIGH-PERFORMANCE TEAMWORK FROM THE PIT CREW MAKES THE DIFFERENCE BETWEEN WINNING AND LOSING

I n the 1990s, the popularity of NASCAR (National

Association for Stock Car Auto Racing) exploded,

bringing hundreds of millions of TV and

sponsorship dollars into the sport. With more

money, competition increased, as did the rewards for

winning on Sunday. The teams, headed by such names

as Rusty Wallace, Jeff Gordon, Dale Earnhardt, Jr.,

and Tony Stewart, are as famous as the New York

Yankees, Atlanta Hawks, or Chicago Bears.

The race car drivers may be famous, but it’s the pit

crews who often determine the outcome of a race.

Twenty years ago, crews were auto mechanics during

the week who simply did double duty on Sundays in

the pits. They did pretty well to change four tires in

less than 30 seconds. Today, because NASCAR teams

find competitive advantage wherever they can, taking

more than 16 seconds can be disastrous. A botched

pit stop is the equivalent of ramming your car against

the wall—crushing all hopes for the day.

On Rusty Wallace’s team, as on all the top NASCAR

squads, the crewmen who go “over the wall” are now

athletes, usually ex-college football or basketball

players with proven agility and strength. The Evernham

team, for example, includes a former defensive back

from Fairleigh Dickinson (who is now a professional tire

carrier) and a 300-pound lineman from East Carolina

University (who handles the jack). The Chip Ganassi

racing team includes baseball players from Wake

Forest, football players from University of Kentucky and

North Carolina, and a hockey player from Dartmouth.

Tire changers—the guys who wrench lug nuts off

and on—are a scarce human resource and average

$100,000 a year in salary. Jeff Gordon was reminded

of the importance of coordinated teamwork when five

of his “over-the-wall” guys jumped to Dale Jarrett’s

organization a few years ago; it was believed to be a

$500,000 per year deal.

A pit crew consists of seven men: a front-tire changer; a

rear-tire changer; front- and rear-tire carriers; a man who

jacks the car up; and two gas men with an 11-gallon can.

Every sport has its core competencies and key

metrics—for example, the speed of a pitcher’s fastball,� This Goodyear tire comes off Rusty Wallace’s car and is no longer needed after going around the track for more than 40 laps in a June 19 Michigan International Speedway race.

� Lap 91—Tire is removed from Rusty Wallace’s car. � Jamie Rolewicz takes tires from a pile of used tires and puts them onto a cart.

304

a running back’s time on the 40-yard dash. In

NASCAR, a tire changer should get 5 lug nuts off in

1.2 seconds. The jackman should haul his 25-pound

aluminum jack from the car’s right side to left in 3.8

seconds. For tire carriers, it should take .7 seconds to

get a tire from the ground to mounted on the car.

The seven men who go over the wall are coached

and orchestrated. Coaches use the tools of OM and

watch “game tape” of pit stops and make intricate

adjustments to the choreography.

“There’s a lot of pressure,” says D. J.

Richardson, a Rusty Wallace team tire changer—

and one of the best in the business. Richardson

trains daily with the rest of the crew in the shop of

the team owner. They focus on cardiovascular work

and two muscle groups daily. Twice a week, they

simulate pit stops—there can be from 12 to 14

variations—to work on their timing.

In a recent race in Michigan, Richardson and the rest

of the Rusty Wallace team, with ergonomically designed

gas cans, tools, and special safety gear, were ready. On

lap 43, the split-second frenzy began, with Richardson—

air gun in hand—jumping over a 2-foot white wall and

sprinting to the right side of the team’s Dodge. A teammate

grabbed the tire and set it in place while Richardson

secured it to the car. The process was repeated on the left

side while the front crew followed the same procedure.

Coupled with refueling, the pit stop took 12.734 seconds.

After catching their breath for a minute, Richardson

and the other pit crew guys reviewed a videotape,

looking for split-second flaws.

The same process was repeated on lap 91. The Wallace

driver made a late charge on Jeff Burton and Kurt Busch on

the last lap and went from 14th place to a 10th place finish.

Sources: The Wall Street Journal (June 15, 2005): A1; and Orlando Sentinel (June 26, 2005): C10–C12 and (February 11, 2001): M10–M11.

RUSTY WALLACE’S NASCAR RACING TEAM �

1 Wallace’s car pulls into the pit; the crew rushes tothe right side of the car to begin service.

FTC

CFT JM

CRT

RTC

GM#2 GM#1

Wall

2 Right side is jacked up, tire starts to come off; gasman is emptying his first can.

Wall

FTC CFT

JM CRT RTC

GM#2 GM#1

3 Action shifts to driver’s side of the car; gas mancarries second can of gas in.

Wall

FTC CFT CRTJM

RTC

GM#2

GM#1

sec. sec. sec.

4 The second can of gas is being emptied; driver’sside tires are being changed.

Wall

5 Service is complete. The jackman drops the car,which is the signal to the Wallace driver to exit the pit.

Wall

Movement of the pit crew members who go over the wall...

FTC CFT CRTJM RTC

GM#2

GM#1 FTC CFT CRTJM RTC

GM#2

GM#1

JM = Jackman

FTC = Front tire carrier

CFT = Changer front tire

RTC = Rear tire carrier

CRT = Changer rear tire

GM#1 = Gas man #1

GM#2 = Gas man #2

sec. sec. A good pit stop will take about 16 seconds.

� JM (Jackman) The jackman carries the hydraulic jack from the pit wall to raise the car’s right side. After new tires are bolted on, he drops the car to the ground and repeats the process on the left side. His timing is crucial during this left side change, because when he drops the car again, it’s the signal for the driver to go. The jackman has the most dangerous job of all the crew members; during the right-side change, he is exposed to oncoming traffic down pit row. FTC (Front tire carrier) Each tire carrier hauls a new 75-pound tire to the car’s right side, places it on the wheel studs and removes the old tire after the tire change. They repeat this process on the left side of the car with a new tire rolled to them by crew members behind the pit wall. CFT (Changer front tire) Tire changers run to the car’s right side and using an air impact wrench, they remove five lug nuts off the old tire and bolt on a new tire. They repeat the process on the left side. RTC (Rear tire carrier) Same as front tire carrier, except RTC may also adjust the rear jack bolt to alter the car’s handling. CRT (Changer rear tire) Same as FT but on two rear tires. Gas man #1 This gas man is usually the biggest and strongest person on the team. He goes over the wall carrying a 75-pound, 11-gallon “dump can” whose nozzle he jams into the car’s fuel cell receptacle. He is then handed (or tossed) another can, and the process is repeated. Gas man #2 Gets second gas can to Gas man #1 and catches excess fuel that spills out.

305

306 PART 2 Designing Operations

HUMAN RESOURCE STRATEGY FOR COMPETITIVE ADVANTAGE Good human resource strategies are expensive, difficult to achieve, and hard to sustain. But, like a NASCAR team, many organizations, from Hard Rock Cafe to Frito-Lay to Southwest Airlines, have demonstrated that sustainable competitive advantage can be built through a human resource strategy. The payoff can be significant and difficult for others to duplicate. In this chapter, we will examine some of the tools available to operations managers for achieving competitive advantage via human resource management.

The objective of a human resource strategy is to manage labor and design jobs so people are effectively and efficiently utilized. As we focus on a human resource strategy, we want to ensure that people:

1. Are efficiently utilized within the constraints of other operations management decisions. 2. Have a reasonable quality of work life in an atmosphere of mutual commitment and trust.

By reasonable quality of work life we mean a job that is not only reasonably safe and for which the pay is equitable but that also achieves an appropriate level of both physical and psychological requirements. Mutual commitment means that both management and employee strive to meet common objectives. Mutual trust is reflected in reasonable, documented employment policies that are honestly and equitably implemented to the satisfaction of both management and employee.1

When management has a genuine respect for its employees and their contributions to the firm, establishing a reasonable quality of work life and mutual trust is not particularly difficult.

This chapter is devoted to showing how operations managers can achieve an effective human resource strategy, which, as we have suggested in our opening profile of NASCAR racing teams, may provide a competitive advantage.

Constraints on Human Resource Strategy As Figure 10.1 suggests, many decisions made about people are constrained by other decisions. First, the product mix may determine seasonality and stability of employment. Second, technol- ogy, equipment, and processes may have implications for safety and job content. Third, the loca- tion decision may have an impact on the ambient environment in which the employees work. Finally, layout decisions, such as assembly line versus work cell, influence job content.

Technology decisions impose substantial constraints. For instance, some of the jobs in steel mills are dirty, noisy, and dangerous; slaughterhouse jobs may be stressful and subject workers to stomach-crunching stench; assembly-line jobs are often boring and mind numbing; and high capital investments such as those required for manufacturing semiconductor chips may require 24-hour, 7-day-a-week operation in restrictive clothing.

We are not going to change these jobs without making changes in our other strategic deci- sions. So, the trade-offs necessary to reach a tolerable quality of work life are difficult. Effective managers consider such decisions simultaneously. The result: an effective, efficient system in which both individual and team performance are enhanced through optimum job design.

Acknowledging the constraints imposed on human resource strategy, we now look at three distinct decision areas of human resource strategy: labor planning, job design, and labor standards.

VIDEO 10.1 Human Resources at Hard Rock

Cafe

1We find many companies calling their employees associates, individual contributors, or members of a particular team.

LO1: Describe labor planning policies 307

LO2: Identify the major issues in job design 308

LO3: Identify major ergonomic and work environment issues 312

LO4: Use the tools of methods analysis 314

Chapter 10 Learning Objectives

LO5: Identify four ways of establishing labor standards 317

LO6: Compute the normal and standard times in a time study 319

LO7: Find the proper sample size for a time study 322

AUTHOR COMMENT Mutual trust and

commitment are key to a successful human

resource strategy.

Chapter 10 Human Resources, Job Design, and Work Measurement 307

LABOR PLANNING Labor planning is determining staffing policies that deal with (1) employment stability, (2) work schedules, and (3) work rules.

Employment-Stability Policies Employment stability deals with the number of employees maintained by an organization at any given time. There are two very basic policies for dealing with stability:

1. Follow demand exactly: Following demand exactly keeps direct labor costs tied to produc- tion but incurs other costs. These other costs include (a) hiring and layoff costs, (b) unem- ployment insurance, and (c) premium wages to entice personnel to accept unstable employment. This policy tends to treat labor as a variable cost.

2. Hold employment constant: Holding employment levels constant maintains a trained work- force and keeps hiring, layoff, and unemployment costs to a minimum. However, with employment held constant, employees may not be utilized fully when demand is low, and the firm may not have the human resources it needs when demand is high. This policy tends to treat labor as a fixed cost.

The above policies are only two of many that can be efficient and provide a reasonable qual- ity of work life. Firms must determine policies about employment stability.

Work Schedules Although the standard work schedule in the U.S. is still five 8-hour days, many variations exist. A currently popular variation is a work schedule called flextime. Flextime allows employees, within limits, to determine their own schedules. A flextime policy might allow an employee (with proper notification) to be at work at 8 A.M. plus or minus 2 hours. This policy allows more autonomy and independence on the part of the employee. Some firms have found flextime a low- cost fringe benefit that enhances job satisfaction. The problem from the OM perspective is that much production work requires full staffing for efficient operations. A machine that requires three people cannot run at all if only two show up. Having a waiter show up to serve lunch at 1:30 P.M. rather than 11:30 A.M. is not much help either.

Similarly, some industries find that their process strategies severely constrain their human resource scheduling options. For instance, paper manufacturing, petroleum refining, and power stations require around-the-clock staffing except for maintenance and repair shutdown.

Product strategy Skills needed Talents needed Materials used Safety

Process strategy Technology Machinery and equipment used Safety

HUMAN RESOURCE STRATEGY

Schedules Time of day Time of year (seasonal) Stability of schedules

Individual differences Strength and fatigue Information processing and response

Location strategy Climate Temperature Noise Light Air quality

Layout strategy Fixed position Process Assembly line Work cell Product

• • • •

• •

• •

• •

• • • • •

• • • • •

W hat

W he

re

H ow

Pr oc

ed ur

e

When Who

� FIGURE 10.1 Constraints on Human Resource Strategy

Labor planning A means of determining staffing policies dealing with employment stability, work schedules, and work rules.

LO1: Describe labor planning policies

AUTHOR COMMENT An operations manager

knows how to build an effective human resource strategy.

AUTHOR COMMENT Achieving employment stability, favorable work

schedules, and acceptable work rules can be

challenging.

308 PART 2 Designing Operations

Another option is the flexible workweek. This plan often calls for fewer but longer days, such as four 10-hour days or, as in the case of light-assembly plants, 12-hour shifts. Working 12-hour shifts usually means working 3 days one week and 4 the next. Such shifts are sometimes called compressed workweeks. These schedules are viable for many operations functions—as long as suppliers and customers can be accommodated.

Another option is shorter days rather than longer days. This plan often moves employees to part-time status. Such an option is particularly attractive in service industries, where staffing for peak loads is necessary. Banks and restaurants often hire part-time workers. Also, many firms reduce labor costs by reducing fringe benefits for part-time employees.

Job Classifications and Work Rules Many organizations have strict job classifications and work rules that specify who can do what, when they can do it, and under what conditions they can do it, often as a result of union pressure. These job classifications and work rules restrict employee flexibility on the job, which in turn reduces the flexibility of the operations function. Yet part of an operations manager’s task is to manage the unexpected. Therefore, the more flexibility a firm has when staffing and establishing work schedules, the more efficient and responsive it can be. This is particularly true in service orga- nizations, where extra capacity often resides in extra or flexible staff. Building morale and meeting staffing requirements that result in an efficient, responsive operation are easier if managers have fewer job classifications and work-rule constraints. If the strategy is to achieve a competitive advantage by responding rapidly to the customer, a flexible workforce may be a prerequisite.

JOB DESIGN Job design specifies the tasks that constitute a job for an individual or a group. We examine five components of job design: (1) job specialization, (2) job expansion, (3) psychological compo- nents, (4) self-directed teams, and (5) motivation and incentive systems.

Labor Specialization The importance of job design as a management variable is credited to the 18th-century econo- mist Adam Smith. Smith suggested that a division of labor, also known as labor specialization (or job specialization), would assist in reducing labor costs of multiskilled artisans. This is accomplished in several ways:

1. Development of dexterity and faster learning by the employee because of repetition 2. Less loss of time because the employee would not be changing jobs or tools 3. Development of specialized tools and the reduction of investment because each employee

has only a few tools needed for a particular task

The 19th-century British mathematician Charles Babbage determined that a fourth consideration was also important for labor efficiency. Because pay tends to follow skill with a rather high cor- relation, Babbage suggested paying exactly the wage needed for the particular skill required. If the entire job consists of only one skill, then we would pay for only that skill. Otherwise, we would tend to pay for the highest skill contributed by the employee. These four advantages of labor specialization are still valid today.

A classic example of labor specialization is the assembly line. Such a system is often very effi- cient, although it may require employees to do short, repetitive, mind-numbing jobs. The wage rate for many of these jobs, however, is very good. Given the relatively high wage rate for the modest skills required in many of these jobs, there is often a large pool of employees from which to choose.

From the manager’s point of view, a major limitation of specialized jobs is their failure to bring the whole person to the job. Job specialization tends to bring only the employee’s manual skills to work. In an increasingly sophisticated knowledge-based society, managers may want employees to bring their mind to work as well.

Job Expansion Moving from labor specialization toward more varied job design may improve the quality of work life. The theory is that variety makes the job “better” and that the employee therefore enjoys a higher quality of work life. This flexibility thus benefits the employee and the organization.

Job design An approach that specifies the tasks that constitute a job for an individual or a group.

Labor specialization (or job specialization) The division of labor into unique (“special”) tasks.

LO2: Identify the major issues in job design

AUTHOR COMMENT Job design is a key

ingredient of a motivated workforce.

Chapter 10 Human Resources, Job Design, and Work Measurement 309

We modify jobs in a variety of ways. The first approach is job enlargement, which occurs when we add tasks requiring similar skill to an existing job. Job rotation is a version of job enlargement that occurs when the employee is allowed to move from one specialized job to another. Variety has been added to the employee’s perspective of the job. Another approach is job enrichment, which adds planning and control to the job. An example is to have department store salespeople responsible for ordering, as well as selling, their goods. Job enrichment can be thought of as vertical expansion, as opposed to job enlargement, which is horizontal. These ideas are shown in Figure 10.2.

A popular extension of job enrichment, employee empowerment is the practice of enriching jobs so employees accept responsibility for a variety of decisions normally associated with staff specialists. Empowering employees helps them take “ownership” of their jobs so they have a per- sonal interest in improving performance.

Psychological Components of Job Design An effective human resources strategy also requires consideration of the psychological compo- nents of job design. These components focus on how to design jobs that meet some minimum psychological requirements.

Hawthorne Studies The Hawthorne studies introduced psychology to the workplace. They were conducted in the late 1920s at Western Electric’s Hawthorne plant near Chicago. These studies were initiated to determine the impact of lighting on productivity. Instead, they found the dynamic social system and distinct roles played by employees to be more important than the intensity of the lighting. They also found that individual differences may be dominant in what an employee expects from the job and what the employee thinks her or his contribution to the job should be.

Core Job Characteristics In the decades since the Hawthorne studies, substantial research regarding the psychological components of job design has taken place. Hackman and Oldham have incorporated much of that work into five desirable characteristics of job design.2 They sug- gest that jobs should include the following characteristics:

1. Skill variety, requiring the worker to use a variety of skills and talents 2. Job identity, allowing the worker to perceive the job as a whole and recognize a start and a

finish 3. Job significance, providing a sense that the job has an impact on the organization and society 4. Autonomy, offering freedom, independence, and discretion 5. Feedback, providing clear, timely information about performance

Including these five ingredients in job design is consistent with job enlargement, job enrichment, and employee empowerment. We now want to look at some of the ways in which teams can be used to expand jobs and achieve these five job characteristics.

Enriched job Planning

(Participate in a cross-function quality improvement team.)

Task #2 (Adhere labels

to printed circuit board.)

Enlarged job Task #3

(Lock printed circuit board into fixture for

next operation.)

Control (Test circuits after assembly.)

Present job (Manually insert and solder six resistors.)

� FIGURE 10.2 An Example of Job Enlargement (horizontal job expansion) and Job Enrichment (vertical job expansion)

AUTHOR COMMENT The job can be enlarged

horizontally by job rotation to tasks 2 and 3, or these tasks can be made a part

of the present job.

AUTHOR COMMENT Job enrichment, expanding the job vertically, can occur

by adding other types of tasks, such as participation in a quality team (planning) and

testing tasks (control).

Job enlargement The grouping of a variety of tasks about the same skill level; horizontal enlargement.

Job rotation A system in which an employee is moved from one specialized job to another.

Job enrichment A method of giving an employee more responsibility that includes some of the planning and control necessary for job accomplishment; vertical expansion.

Employee empowerment Enlarging employee jobs so that the added responsibility and authority is moved to the lowest level possible.

2See “Motivation Through the Design of Work,” in Jay Richard Hackman and Greg R. Oldham, eds., Work Redesign (Reading, MA: Addison-Wesley, 1980), and A. Thomas, W. C. Buboltz, and C. Winkelspecht, “Job Characteristics and Personality as Predictors of Job Satisfaction,” Organizational Analysis, 12, no. 2 (2004): 205–219.

310 PART 2 Designing Operations

Self-Directed Teams Many world-class organizations have adopted teams to foster mutual trust and commitment, and provide the core job characteristics. One team concept of particular note is the self-directed team: a group of empowered individuals working together to reach a common goal. These teams may be organized for long- or short-term objectives. Teams are effective primarily because they can eas- ily provide employee empowerment, ensure core job characteristics, and satisfy many of the psy- chological needs of individual team members. A job design continuum is shown in Figure 10.3.

Limitations of Job Expansion If job designs that enlarge, enrich, empower, and use teams are so good, why are they not universally used? Mostly it is because of costs. Here are a few lim- itations of expanded job designs:

• Higher capital cost: Job expansion may require additional equipment and facilities. • Individual differences: Some employees opt for the less complex jobs. • Higher wage rates: Expanded jobs may well require a higher average wage. • Smaller labor pool: Because expanded jobs require more skill and acceptance of more

responsibility, job requirements have increased. • Higher training costs: Job expansion requires training and cross-training. Therefore, training

budgets need to increase.

Despite these limitations, firms are finding a substantial payoff in job expansion.

Specialization

Job expansion

S e lf-

d ir e ct

io n

Enlargement

Enrichment

Empowerment

Self-directed teams

� FIGURE 10.3 Job Design Continuum

Southwest Airlines—consistently at the top of the airline pack in travel surveys, fewest lost bags and complaints, and highest profits—hires people with enthusiasm and empowers them to excel. A barefoot chairman of the board, Herb Kelleher, clings to the tail of a jet (left photo). Says Kelleher, “I’ve tried to create a culture of caring for people in the totality of their lives, not just at work. Someone can go out and buy airplanes and ticket counters, but they can’t buy our culture, our esprit de corps.”

AUTHOR COMMENT Increasing reliance on an

employee’s contribution and increasing responsibility

accepted by the employee.

Self-directed team A group of empowered individuals working together to reach a common goal.

Chapter 10 Human Resources, Job Design, and Work Measurement 311

Motivation and Incentive Systems Our discussion of the psychological components of job design provides insight into the factors that contribute to job satisfaction and motivation. In addition to these psychological factors, there are monetary factors. Money often serves as a psychological as well as financial motivator. Monetary rewards take the form of bonuses, profit and gain sharing, and incentive systems.

Bonuses, typically in cash or stock options, are often used at executive levels to reward man- agement. Profit-sharing systems provide some part of the profit for distribution to employees. A variation of profit sharing is gain sharing, which rewards employees for improvements made in an organization’s performance. The most popular of these is the Scanlon plan, in which any reduction in the cost of labor is shared between management and labor.

Incentive systems based on individual or group productivity are used throughout the world in a wide variety of applications, including nearly half of the manufacturing firms in America. Production incentives often require employees or crews to produce at or above a predetermined standard. The standard can be based on a “standard time” per task or number of pieces made. Both systems typically guarantee the employee at least a base rate. Incentives, of course, need not be monetary. Awards, recognition, and other kinds of preferences such as a preferred work schedule can be effective. (See the OM in Action box “Using Incentives to Unsnarl Traffic Jams in the OR.”) Hard Rock Cafe has successfully reduced its turnover by giving every employee—from the CEO to the busboys—a $10,000 gold Rolex watch on their 10th anniversary with the firm.

With the increasing use of teams, various forms of team-based pay are also being developed. Many are based on traditional pay systems supplemented with some form of bonus or incentive system. However, because many team environments require cross training of enlarged jobs, knowledge-based pay systems have also been developed. Under knowledge-based (or skill- based) pay systems, a portion of the employee’s pay depends on demonstrated knowledge or skills possessed. At Wisconsin’s Johnsonville Sausage Co., employees receive pay raises only by mastering new skills such as scheduling, budgeting, and quality control.

ERGONOMICS AND THE WORK ENVIRONMENT With the foundation provided by Frederick W. Taylor, the father of the era of scientific manage- ment, we have developed a body of knowledge about people’s capabilities and limitations. This knowledge is necessary because humans are hand/eye animals possessing exceptional capabili- ties and some limitations. Because managers must design jobs that can be done, we now intro- duce a few of the issues related to people’s capabilities and limitations.

Ergonomics The operations manager is interested in building a good interface between humans, the environment, and machines. Studies of this interface are known as ergonomics. Ergonomics means “the study of work.” (Ergon is the Greek word for “work.”) The term human

Hospitals have long offered surgeons a precious perk: scheduling the bulk of their elective surgeries in the middle of the week so they can attend conferences, teach, or relax during long weekends. But at Boston Medical Center, St. John’s Health Center (in Missouri), and Elliot Health System (in New Hampshire), this practice, one of the biggest impediments to a smooth-running hospital, is changing. “Block scheduling” jams up operating rooms, overloads nurses at peak times, and bumps scheduled patients for hours and even days.

Boston Medical Center’s delays and cancellations of elective surgeries were nearly eliminated after surgeons agreed to stop block scheduling and to dedicate one OR for emergency cases. Cancellations dropped to 3, from 334, in just one 6-month period. In general, hospitals

changing to the new system of spreading out elective surgeries during the week increase their surgery capacity by 10%, move patients through the operating room faster, and reduce nursing overtime.

To get doctors on board at St. John’s, the hospital offered a carrot and two sticks: Doctors who were more than 10 minutes late 10% of the time lost their coveted 7:30 A.M. start times and were fined a portion of their fee— with proceeds going to a kitty that rewarded the best on- time performers. Surgeons’ late start times quickly dropped from 16% to 5% and then to less than 1% within a year.

Sources: International Journal of Production Economics (January–February 2006): 52; The Wall Street Journal (August 10, 2005): D1, D3; and Hospitals & Health Networks (September 2005): 24–25.

OM in Action � Using Incentives to Unsnarl Traffic Jams in the OR

Ergonomics The study of the human interface with the environment and machines.

AUTHOR COMMENT Ergonomics becomes

more critical as technologies become

more complex.

312 PART 2 Designing Operations

factors is often substituted for the word ergonomics. Understanding ergonomic issues helps to improve human performance.

Male and female adults come in limited configurations. Therefore, design of tools and the workplace depends on the study of people to determine what they can and cannot do. Substantial data have been collected that provide basic strength and measurement data needed to design tools and the workplace. The design of the workplace can make the job easier or impossible. Additionally, we now have the ability, through the use of computer modeling, to analyze human motions and efforts.

Operator Input to Machines Operator response to machines, be they hand tools, pedals, levers, or buttons, needs to be evaluated. Operations managers need to be sure that operators have the strength, reflexes, perception, and mental capacity to provide necessary control. Such prob- lems as carpal tunnel syndrome may result when a tool as simple as a keyboard is poorly designed. The photo of the Champ race car steering wheel below shows one innovative approach to critical operator input.

Feedback to Operators Feedback to operators is provided by sight, sound, and feel; it should not be left to chance. The mishap at the Three Mile Island nuclear facility, America’s worst nuclear experience, was in large part the result of poor feedback to the operators about reactor performance. Nonfunctional groups of large, unclear instruments and inaccessible con- trols, combined with hundreds of confusing warning lights, contributed to that failure. Such relatively simple issues make a difference in operator response and, therefore, performance. The photos showing changes in aircraft cockpits indicate recent efforts to improve feedback to operators.

The Work Environment The physical environment in which employees work affects their performance, safety, and quality of work life. Illumination, noise and vibration, temperature, humidity, and air quality are work-environment factors under the control of the organization and the operations manager. The manager must approach them as controllable.

Ergonomic issues occur in the office as well as in the factory. Here an ergonomics consultant is measuring the angle of a computer operator’s neck. Posture, which is related to desk height, chair height and position, keyboard placement, and computer screen, is an important factor in reducing back and neck pain that can be caused by extended hours at a computer.

Drivers of race cars have no time to grasp for controls or to look for small hidden gauges. Controls and instrumentation for modern race cars have migrated to the steering wheel itself—the critical interface between man and machine.

LO3: Identify major ergonomic and work environment issues

Chapter 10 Human Resources, Job Design, and Work Measurement 313

Illumination is necessary, but the proper level depends on the work being performed. Figure 10.4a provides some guidelines. However, other lighting factors are important. These include reflective ability, contrast of the work surface with surroundings, glare, and shadows.

Noise of some form is usually present in the work area, and most employees seem to adjust well. However, high levels of sound will damage hearing. Figure 10.4b provides indications of

500 and up

Exacting Tasks (electronic and

watch assembly, dentistry)

Normal Visual (office, classroom,

machining)

General Interiors (conference, rest rooms, restaurants)

Assembly Tasks (parts assembly)

Large Objects (warehouses,

hallways)

Small Details (engraving,

detail drafting)

75–100 25–50

50–75

10–25100–200

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

Fragile

� FIGURE 10.4a Recommended Levels of Illumination (using foot-candles (ft-c) as the measure of illumination)

30

Soft whisper

Very quiet

Quiet Intrusive Ear protection needed if exposed

8 hours or more

Very annoying

Painful

Subway train

Printing press

Pneumatic hammer

Prop airplane

Jet take-off

Residential area of

Chicago at night

Near freeway

auto traffic

Light traffic

(100 feet)

Vacuum cleaner (10 feet)

40 50 60 70 80 90 100 110 120

� FIGURE 10.4b Decibel (dB) Levels for Various Sounds Adapted from A. P. G. Peterson and E. E. Gross, Jr., Handbook of Noise Measurement, 7th ed. (New Concord, MA: General Radio Co.).

AUTHOR COMMENT Noise in the work

environment can increase the risk of a heart attack

by 50% or more.

An important human factor/ergonomic issue in the aircraft industry is cockpit design. Newer “glass cockpits” (on the right) display information in more concise form than the traditional rows of round analog dials and gauges (on the left). New displays reduce the chance of human error, which is a factor in about two-thirds of commercial air accidents. Fractions of a second in the cockpit can literally mean the difference between life and death.

the sound generated by various activities. Extended periods of exposure to decibel levels above 85 dB are permanently damaging. The Occupational Safety and Health Administration (OSHA) requires ear protection above this level if exposure equals or exceeds 8 hours. Even at low levels, noise and vibration can be distracting and can raise a person’s blood pressure, so managers make substantial effort to reduce noise and vibration through good machine design, enclosures, or insulation.

Temperature and humidity parameters have also been well established. Managers with activi- ties operating outside the established comfort zone should expect adverse effect on performance.

METHODS ANALYSIS Methods analysis focuses on how a task is accomplished. Whether controlling a machine or making or assembling components, how a task is done makes a difference in performance, safety, and quality. Using knowledge from ergonomics and methods analysis, methods engineers are charged with ensuring that quality and quantity standards are achieved efficiently and safely. Methods analysis and related techniques are useful in office environments as well as in the fac- tory. Methods techniques are used to analyze:

1. Movement of individuals or material. The analysis is performed using flow diagrams and process charts with varying amounts of detail.

2. Activity of human and machine and crew activity. This analysis is performed using activity charts (also known as man–machine charts and crew charts).

3. Body movement (primarily arms and hands). This analysis is performed using operations charts.

Flow diagrams are schematics (drawings) used to investigate movement of people or mate- rial. Britain’s Paddy Hopkirk Factory in Figure 10.5 shows one version of a flow diagram, and the OM in Action box “Saving Steps on the B-2 Bomber” provides another way to ana- lyze long-cycle repetitive tasks. Hopkirk’s old method is shown in Figure 10.5(a), and a new

314 PART 2 Designing Operations

Flow diagram A drawing used to analyze movement of people or material.

gather chemicals, hose, gauges, and other material needed just to get ready for the job. By making prepackaged kits for the job, Northrop Grumman cut preparation time to zero and the time to complete the job dropped from 8.4 hours to 1.6 hours (as seen above).

Sources: BusinessWeek (May 28, 2001): 14; Aviation Week & Space Technology (January 17, 2000): 44; and New York Times (March 9, 1999): C1, C9.

The 26 trips to various workstations to gather the tools and equipment to apply tape to the B-2 bomber are shown as blue lines above.

The mechanic’s work path is reduced to the small area of blue lines shown here.

OM in Action � Saving Steps on the B-2 Bomber

The aerospace industry is noted for making exotic products, but it is also known for doing so in a very expensive way. The historical batch-based processes used in the industry have left a lot of room for improvement. In leading the way, Northrop Grumman analyzed the work flow of a mechanic whose job in the Palmsdale, California, plant was to apply about 70 feet of tape to the B-2 stealth bomber. The mechanic (see the graphic below) walked away from the plane 26 times and took 3 hours just to

AUTHOR COMMENT Methods analysis

provides the tools for understanding systems.

Methods analysis A system that involves developing work procedures that are safe and produce quality products efficiently.

LO4: Use the tools of methods analysis

Chapter 10 Human Resources, Job Design, and Work Measurement 315

� FIGURE 10.5 Flow Diagrams and Process Chart of Axle-Stand Production at Paddy Hopkirk Factory (a) Old method; (b) new method; (c) process chart of axle-stand production using Paddy Hopkirk’s new method (shown in (b)).

From press

machine

Mach. 2

Mach. 3

Storage bins

Storage bins

Paint shop

(a) (c)

(b)

Welding

Paint shop

Machine 2

Machine 3

Machine 4

Machine 1

Mach. 4

Present Method

Proposed Method

SUBJECT CHARTED

DEPARTMENT

DIST. IN

FEET

TIME IN

MINS.

CHART SYMBOLS

DATE

CHART BY

CHART NO.

SHEET NO. OF

PROCESS CHART

PROCESS DESCRIPTION

TOTAL

= operation; = transportation; = inspection; = delay; = storage

X Axle-stand Production

Work cell for axle stand

50

5

4

4

4

20

10

97

3

4

2.5

3.5

4

Poka- yoke

4

4

25

From press machine to storage bins at work cell

Move to machine 4

Move to welding Poka-yoke inspection at welding Weld Move to painting Paint

Operation at machine 4

Storage bins Move to machine 1 Operation at machine 1 Move to machine 2

Move to machine 3 Operation at machine 3

Operation at machine 2

8 / 1 / 10 JH

1 1 1

From press mach.

Machine 1

Welding

AUTHOR COMMENT Flow diagrams provide

an excellent way of understanding layout issues.

Operations chart A chart depicting right- and left- hand motions.

Process chart Graphic representations that depict a sequence of steps for a process.

Activity chart A way of improving utilization of an operator and a machine or some combination of operators (a crew) and machines.

method, with improved work flow and requiring less storage and space, is shown in Figure 10.5(b). Process charts use symbols, as in Figure 10.5(c), to help us understand the move- ment of people or material. In this way non-value-added activities can be recognized and operations made more efficient. Figure 10.5(c) is a process chart used to supplement the flow diagrams shown in Figure 10.5(b).

Activity charts are used to study and improve the utilization of an operator and a machine or some combination of operators (a “crew”) and machines. The typical approach is for the analyst to record the present method through direct observation and then propose the improvement on a second chart. Figure 10.6 is an activity chart to show a proposed improvement for a two-person crew at Quick Car Lube.

Body movement is analyzed by an operations chart. It is designed to show economy of motion by pointing out wasted motion and idle time (delay). The operations chart (also known as a right-hand/left-hand chart) is shown in Figure 10.7.

THE VISUAL WORKPLACE A visual workplace uses low-cost visual devices to share information quickly and accurately. Well-designed displays and graphs root out confusion and replace difficult-to-understand print- outs and paperwork. Because workplace data change quickly and often, operations managers

Visual workplace Uses a variety of visual communication techniques to rapidly communicate information to stakeholders.

316 PART 2 Designing Operations

Quantities in bins indicate ongoing daily requirements and clipboards provide information on schedule changes.

A “3-minute service” clock reminds employees of the goal.

Process specifications and operating procedures are posted in each work area.

Andon

Visual signals at the machine notify support personnel.

Line/machine stoppage

Parts/ maintenance needed

All systems go

Reorder point

Visual kanbans reduce inventory and foster JIT.

Part A Part B Part C

Visual utensil holder encourages housekeeping.

GOAL

ACTUAL 3:00

2:10

� FIGURE 10.8 The Visual Workplace

OPERATOR #1 OPERATOR #2

TIME % TIME %

WORK

IDLE

OPERATION:

EQUIPMENT:

OPERATOR:

STUDY NO.: ANALYST:

SUBJECT PRESENT PROPOSED DEPT.

SHEET OF

CHART BY

DATE

TIME TIME TIME

ACTIVITY CHART

Repeat cycle

12 100 12 100

Oil change & fluid check

Quick Car Lube 8-1-10 LSA

Move car to pitTake order

Drain oilVacuum car

Check transmission

Check transmission

Clean windows

Change oil filter Check under

hood Replace oil plugFill with oil

Move car to front for customerComplete bill

Move next car to pitGreet nextcustomer Drain oilVacuum car

Clean windows

Operator #1 Operator #2

1 1

One bay/pit Two-person crew

NG0 0 0 0

� FIGURE 10.6 Activity Chart for Two-Person Crew Doing an Oil Change in 12 Minutes at Quick Car Lube

1

2

3

4

5

6

7

Reach for bolt

Grasp bolt

Move bolt

Hold bolt

Hold bolt

Hold bolt

Hold bolt

OPERATION

TRANSPORT.

INSPECTION

DELAY

STORAGE

SYMBOLS PRESENT PROPOSED

LH RH LH RH

OPERATIONS CHART

Idle

Idle

Idle

Reach for washer

Grasp washer

Move washer to bolt

Place washer on bolt

LEFT-HAND ACTIVITY

METHODPresent RIGHT-HAND ACTIVITY

METHODPresentSYMBOLS SYMBOLS DIST.DIST.

PROCESS:

EQUIPMENT:

OPERATOR:

STUDY NO:

DATE:

METHOD ( PRESENT / PROPOSED )

REMARKS:

/ / SHEET NO. of

Bolt–washer assembly

KJH

8 1 10 1 1

2 3

4 3

1 1 ANALYST:

6"

8"

� FIGURE 10.7 Operations Chart (right-hand/left-hand chart) for Bolt-Washer Assembly

AUTHOR COMMENT Activity charts are helpful for

understanding crew or man–machine interaction. need to share accurate and up-to-date information. Changing customer requirements, specifica-

tions, schedules, and other details must be rapidly communicated to those who can make things happen.

The visual workplace can eliminate non-value-added activities by making standards, prob- lems, and abnormalities visual (see Figure 10.8). The visual workplace needs less supervision because employees understand the standard, see the results, and know what to do.

Chapter 10 Human Resources, Job Design, and Work Measurement 317

LABOR STANDARDS So far in this chapter, we have discussed labor planning and job design. The third requirement of an effective human resource strategy is the establishment of labor standards. Labor standards are the amount of time required to perform a job or part of a job. Effective manpower planning is dependent on a knowledge of the labor required.

Modern labor standards originated with the works of Frederick W. Taylor and Frank and Lillian Gilbreth at the beginning of the 20th century. At that time, a large proportion of work was manual, and the resulting labor content of products was high. Little was known about what con- stituted a fair day’s work, so managers initiated studies to improve work methods and understand human effort. These efforts continue to this day. Although labor costs are often less than 10% of sales, labor standards remain important and continue to play a major role in both service and manufacturing organizations. They are often a beginning point for determining staffing require- ments. With over half of the manufacturing plants in America using some form of labor incentive system, good labor standards are a requirement.

Effective operations management requires meaningful standards that help a firm determine:

1. Labor content of items produced (the labor cost) 2. Staffing needs (how many people it will take to meet required production) 3. Cost and time estimates prior to production (to assist in a variety of decisions, from cost esti-

mates to make-or-buy decisions) 4. Crew size and work balance (who does what in a group activity or on an assembly line) 5. Expected production (so that both manager and worker know what constitutes a fair day’s

work) 6. Basis of wage-incentive plans (what provides a reasonable incentive) 7. Efficiency of employees and supervision (a standard is necessary against which to determine

efficiency)

Properly set labor standards represent the amount of time that it should take an average employee to perform specific job activities under normal working conditions. Labor standards are set in four ways:

1. Historical experience 2. Time studies 3. Predetermined time standards 4. Work sampling

Historical Experience Labor standards can be estimated based on historical experience—that is, how many labor- hours were required to do a task the last time it was performed. Historical standards have the advantage of being relatively easy and inexpensive to obtain. They are usually available from employee time cards or production records. However, they are not objective, and we do not know their accuracy, whether they represent a reasonable or a poor work pace, and whether unusual occurrences are included. Because these variables are unknown, their use is not recommended. Instead, time studies, predetermined time standards, and work sampling are preferred.

Time Studies The classical stopwatch study, or time study, originally proposed by Frederick W. Taylor in 1881, involves timing a sample of a worker’s performance and using it to set a standard. (See the OM In Action box, “Saving Seconds at Retail Boosts Productivity.”) A trained and experienced person can establish a standard by following these eight steps:

1. Define the task to be studied (after methods analysis has been conducted). 2. Divide the task into precise elements (parts of a task that often take no more than a few seconds). 3. Decide how many times to measure the task (the number of job cycles or samples needed). 4. Time and record elemental times and ratings of performance.

AUTHOR COMMENT Labor standards exist for

check-out clerks, mechanics, UPS drivers, and many

factory workers.

Labor standards The amount of time required to perform a job or part of a job.

LO5: Identify four ways of establishing labor standards

AUTHOR COMMENT Stopwatch studies are the most widely used

labor standard method.

Time study Timing a sample of a worker’s performance and using it as a basis for setting a standard time.

318 PART 2 Designing Operations

5. Compute the average observed (actual) time. The average observed time is the arithmetic mean of the times for each element measured, adjusted for unusual influence for each element:

(10-1)

6. Determine performance rating (work pace) and then compute the normal time for each element.

(10-2)

The performance rating adjusts the average observed time to what a trained worker could expect to accomplish working at a normal pace. For example, a worker should be able to walk 3 miles per hour. He or she should also be able to deal a deck of 52 cards into 4 equal piles in 30 seconds. A performance rating of 1.05 would indicate that the observed worker performs the task slightly faster than average. Numerous videos specify work pace on

Normal time = 1Average observed time2 * 1Performance rating factor2

Average observed time = (Sum of the times recorded to perform each element)

Number of observations

Each day—in fact, 130 times each day— Tim Nelson leans back into a La-Z-Boy recliner, sofa section, or love seat at the company’s Dayton factory. He inspects for overall comfort; he must sink slightly into the chair, but not too far. As in the fable “Goldilocks and the Three Bears,” the chair must not be too firm or too soft; it must be just right—or it is sent back for restuffing. If it passes the “firm” test, he then rocks back and forth, making certain the chair is properly balanced and moves smoothly. Then Tim checks the footrest, arches his back, and holds the position. Hopping to his feet, he does a walk- around visual check; then it is on to the next chair. One down, and 129 to go.

Retail services, like factory assembly lines, need labor standards. And the Gap, Office Depot, Toys “R” Us, and Meijer are among the many firms that use them. Labor is usually the largest single expense after purchases in retailing, meaning it gets special attention. Labor standards are set for everything from greeting customers, to number of cases loaded onto shelves, to scanning merchandise at the cash register.

Meijer, a Midwestern chain of 190 “big box” stores, includes cashiers in its labor standards. Since Meijer sells everything from groceries to clothes to automotive goods, cashier labor standards include adjustments of allowances for the vast variety of merchandise being purchased. This includes clothes with hard-to-find bar codes and bulky items that are not usually removed from the shopping cart. Allowances are also made for how customers pay, the number of customers returning to an aisle for a forgotten item, and elderly and handicapped customers.

Employees are expected to meet 95% of the standard. Failure to do so moves an employee to counseling, training, and other alternatives. Meijer has added fingerprint readers to cash registers, allowing cashiers to sign in directly at their register. This saves time and boosts productivity by avoiding a stop at the time clock.

The bottom line: as retail firms seek competitive advantage via lower prices, they are finding that good labor standards are not only shaving personnel costs by 5% to 15% but also contributing to more accurate data for improved scheduling.

Sources: The Wall Street Journal, (November 17, 2008): A1, A15; www. Meijer.com; and Labor Talk, (Summer 2007).

OM in Action � Saving Seconds at Retail Boosts Productivity

Average observed time The arithmetic mean of the times for each element measured, adjusted for unusual influence for each element.

Normal time The average observed time, adjusted for pace.

Chapter 10 Human Resources, Job Design, and Work Measurement 319

which professionals agree, and benchmarks have been established by the Society for the Advancement of Management. Performance rating, however, is still something of an art.

7. Add the normal times for each element to develop a total normal time for the task. 8. Compute the standard time. This adjustment to the total normal time provides for

allowances such as personal needs, unavoidable work delays, and worker fatigue:

(10-3)

Personal time allowances are often established in the range of 4% to 7% of total time, depending on nearness to rest rooms, water fountains, and other facilities. Delay allowances are often set as a result of the actual studies of the delay that occurs. Fatigue allowances are based on our grow- ing knowledge of human energy expenditure under various physical and environmental condi- tions. A sample set of personal and fatigue allowances is shown in Table 10.1. Example 1 illustrates the computation of standard time.

Standard time = Total normal time

1 - Allowance factor

LO6: Compute the normal and standard times in a time study

1. Constant allowances: (A) Personal allowance . . . . . . . . . . . . . . . . . . . . . . . . . . 5 (B) Basic fatigue allowance . . . . . . . . . . . . . . . . . . . . . . 4

2. Variable allowances: (A) Standing allowance . . . . . . . . . . . . . . . . . . . . . . . . . . 2 (B) Abnormal position allowance:

(i) Awkward (bending) . . . . . . . . . . . . . . . . . . . . . . . 2 (ii) Very awkward (lying, stretching) . . . . . . . . . . . . . . 7

(C) Use of force or muscular energy in lifting, pulling, pushing Weight lifted (pounds): 20 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 40 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 60 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17

(D) Bad light: (i) Well below recommended . . . . . . . . . . . . . . . . . . 2

(ii) Quite inadequate . . . . . . . . . . . . . . . . . . . . . . . . . 5

(E) Atmospheric conditions (heat and humidity): Variable . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0–10

(F) Close attention: (i) Fine or exacting . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 (ii) Very fine or very exacting . . . . . . . . . . . . . . . . . . .5

(G) Noise level: (i) Intermittent—loud . . . . . . . . . . . . . . . . . . . . . . . . . 2 (ii) Intermittent—very loud or high pitched . . . . . . . . 5

(H) Mental strain: (i) Complex or wide span of attention . . . . . . . . . . . . 4 (ii) Very complex . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

(I) Tediousness: (i) Tedious . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 (ii) Very tedious . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

� TABLE 10.1 Allowance Factors (in percentage) for Various Classes of Work

Standard time An adjustment to the total normal time; the adjustment provides allowances for personal needs, unavoidable work delays, and fatigue.

� EXAMPLE 1 Determining normal and standard time

The time study of a work operation at a Red Lobster restaurant yielded an average observed time of 4.0 minutes. The analyst rated the observed worker at 85%. This means the worker performed at 85% of normal when the study was made. The firm uses a 13% allowance factor. Red Lobster wants to com- pute the normal time and the standard time for this operation.

APPROACH � The firm needs to apply Equations (10–2) and (10–3).

SOLUTION �

INSIGHT � Because the observed worker was rated at 85% (slower than average), the normal time is less than the worker’s 4.0-minute average time.

LEARNING EXERCISE � If the observed worker is rated at 115% (faster than average), what are the new normal and standard times? [Answer: 4.6 min, 5.287 min.]

RELATED PROBLEMS � 10.13, 10.14, 10.15, 10.16, 10.17, 10.18, 10.19, 10.20, 10.21, 10.33

EXCEL OM Data File Ch10Ex1.xls can be found at www.pearsonhighered.com/heizer.

= 3.9 min

Standard time = Normal time

1 - Allowance factor =

3.4

1 - .13 =

3.4

.87

= 3.4 min = 14.021.852

Normal time = 1Average observed time2 * 1Performance rating factor2 Average observed time = 4.0 min

320 PART 2 Designing Operations

Example 2 uses a series of actual stopwatch times for each element.

Observations (minutes)

Job Element 1 2 3 4 5 Performance Rating

(A) Compose and type letter 8 10 9 21* 11 120% (B) Type envelope address 2 3 2 1 3 105% (C) Stuff, stamp, seal, and sort envelopes 2 1 5* 2 1 110%

EXAMPLE 2 � Using time studies to compute standard time

Management Science Associates promotes its management development seminars by mailing thou- sands of individually composed and typed letters to various firms. A time study has been conducted on the task of preparing letters for mailing. On the basis of the following observations, Management Science Associates wants to develop a time standard for this task. The firm’s personal, delay, and fatigue allowance factor is 15%.

APPROACH � Once the data have been collected, the procedure is to:

1. Delete unusual or nonrecurring observations. 2. Compute the average time for each element, using Equation (10-1). 3. Compute the normal time for each element, using Equation (10-2). 4. Find the total normal time. 5. Compute the standard time, using Equation (10-3).

SOLUTION � 1. Delete observations such as those marked with an asterisk (*). (These may be due to business

interruptions, conferences with the boss, or mistakes of an unusual nature; they are not part of the job element, but may be personal or delay time.)

2. Average time for each job element:

3. Normal time for each job element:

Note: Normal times are computed for each element because the performance rating factor (work pace) may vary for each element, as it did in this case.

4. Add the normal times for each element to find the total normal time (the normal time for the whole job):

= 15.36 min

Total normal time = 11.40 + 2.31 + 1.65

= 1.65 min Normal time for C = 11.5211.102

= 2.31 min Normal time for B = 12.2211.052

= 11.4 min = 19.5211.22

Normal time for A = 1Average observed time2 * (Performance rating)

= 1.5 min

Average time for C = 2 + 1 + 2 + 1

4

= 2.2 min

Average time for B = 2 + 3 + 2 + 1 + 3

5

= 9.5 min

Average time for A = 8 + 10 + 9 + 11

4

Chapter 10 Human Resources, Job Design, and Work Measurement 321

5. Standard time for the job:

Thus, 18.07 minutes is the time standard for this job.

INSIGHT � When observed times are not consistent they need to be reviewed. Abnormally short times may be the result of an observational error and are usually discarded. Abnormally long times need to be analyzed to determine if they, too, are an error. However, they may include a seldom occur- ring but legitimate activity for the element (such as a machine adjustment) or may be personal, delay, or fatigue time.

LEARNING EXERCISE � If the two observations marked with an asterisk were not deleted, what would be the total normal time and the standard time? [Answer: 18.89 min, 22.22 min.]

RELATED PROBLEMS � 10.22, 10.23, 10.24, 10.25, 10.28a,b, 10.29a, 10.30a

= 18.07 min

Standard time = Total normal time

1 - Allowance factor =

15.36

1 - .15

Time study requires a sampling process; so the question of sampling error in the average observed time naturally arises. In statistics, error varies inversely with sample size. Thus, to determine just how many cycles we should time, we must consider the variability of each ele- ment in the study.

To determine an adequate sample size, three items must be considered:

1. How accurate we want to be (e.g., is 5% of observed time close enough?). 2. The desired level of confidence (e.g., the z-value; is 95% adequate or is 99% required?). 3. How much variation exists within the job elements (e.g., if the variation is large, a larger

sample will be required).

The formula for finding the appropriate sample size, given these three variables, is:

(10-4)Required sample size = n = a zs

hx b

2

;

Since the days of F. W. Taylor, time studies have been performed by using a stopwatch. However, with the development of PDA software, such as the program shown here, study elements, time, performance rate, and statistical confidence intervals can be created, edited, managed, and logged with a PDA. Handheld technology eliminates the need for data entry and sends the data directly to a program to be analyzed. The software shown here is available from Laubrass Inc. (www. laubrass.com).

where h accuracy level (acceptable error) desired in percent of the job element, expressed as a decimal (5% .05)

z number of standard deviations required for desired level of confidence see Table 10.2 or Appendix I for more z-values)

s standard deviation of the initial sample mean of the initial sample

n required sample size= x =

= 190% confidence = 1.65;

= =

=

� TABLE 10.2 Common z-Values

z-Value (standard deviation required

Desired for desired Confidence level of

(%) confidence)

90.0 1.65 95.0 1.96 95.45 2.00 99.0 2.58 99.73 3.00

322 PART 2 Designing Operations

We demonstrate with Example 3.

Thomas W. Jones Manufacturing Co. has asked you to check a labor standard prepared by a recently terminated analyst. Your first task is to determine the correct sample size. Your accuracy is to be within 5% and your confidence level at 95%. The standard deviation of the sample is 1.0 and the mean 3.00.

APPROACH � You apply Equation (10-4).

SOLUTION �

(from Table 10.2 or Appendix I)

Therefore, you recommend a sample size of 171.

INSIGHT � Notice that as the confidence level required increases, the sample size also increases. Similarly, as the desired accuracy level increases (say, from 5% to 1%), the sample size increases.

LEARNING EXERCISE � The confidence level for Jones Manufacturing Co. can be set lower, at 90%, while retaining the same 5% accuracy levels. What sample size is needed now? [Answer: n 121.]

RELATED PROBLEMS � 10.26, 10.27, 10.28c, 10.29b, 10.30b

EXCEL OM Data File Ch10Ex3.xls can be found at www.pearsonhighered.com/heizer.

= ;

n = a 1.96 * 1.0

.05 * 3 b

2

= 170.74 L 171

n = a zs

hx b

2

z = 1.96 h = .05 x = 3.00 s = 1.0

EXAMPLE 3 � Computing sample size

AUTHOR COMMENT Families of predetermined time standards have been

developed for many occupations.

Predetermined time standards A division of manual work into small basic elements that have established and widely accepted times.

Now let’s look at two variations of Example 3. First, if h, the desired accuracy, is expressed as an absolute amount of error (say, 1 minute of

error is acceptable), then substitute e for and the appropriate formula is:

(10-5)

where e is the absolute time amount of acceptable error. Second, for those cases when s, the standard deviation of the sample, is not provided (which

is typically the case outside the classroom), it must be computed. The formula for doing so is given in Equation (10-6):

(10-6)

where value of each observation mean of the observations

n number of observations in the sample

An example of this computation is provided in Solved Problem 10.4 on page 330. Although time studies provide accuracy in setting labor standards (see the OM in Action box

“UPS: The Tightest Ship in the Shipping Business”), they have two disadvantages. First, they require a trained staff of analysts. Second, these standards cannot be set before tasks are actually performed. This leads us to two alternative work-measurement techniques that we discuss next.

Predetermined Time Standards In addition to historical experience and time studies, we can set production standards by using predetermined time standards. Predetermined time standards divide manual work into small basic elements that already have established times (based on very large samples of workers). To estimate the time for a particular task, the time factors for each basic element of that task are added together. Developing a comprehensive system of predetermined time standards would be prohibitively expensive for any given firm. Consequently, a number of systems are commercially

= x = xi =

s = Q

a(xi - x) 2

n - 1 = Q

a(Each sample observation - x) 2

Number in sample - 1

n = a zs

e b

2

hx, LO7: Find the proper sample size for a time study

Chapter 10 Human Resources, Job Design, and Work Measurement 323

United Parcel Service (UPS) employs 425,000 people and delivers an average of 16 million packages a day to locations throughout the U.S. and 200 other countries. To achieve its claim of “running the tightest ship in the shipping business,” UPS methodically trains its delivery drivers in how to do their jobs as efficiently as possible.

Industrial engineers at UPS have time-studied each driver’s route and set standards for each delivery, stop, and pickup. These engineers have recorded every second taken up by stoplights, traffic volume, detours, doorbells, walkways, stairways, and coffee breaks. Even bathroom stops are factored into the standards. All this information is then fed into company computers to provide detailed time standards for every driver, every day.

To meet their objective of 200 deliveries and pickups each day (versus only 80 at FedEx), UPS drivers must follow procedures exactly. As they approach a delivery

stop, drivers unbuckle their seat belts, honk their horns, and cut their engines. In one seamless motion, they are required to yank up their emergency brakes and push their gearshifts into first. Then they slide to the ground with their electronic clipboards under their right arm and their packages in their left hand. Ignition keys, teeth up, are in their right hand. They walk to the customer’s door at the prescribed 3 feet per second and knock first to avoid lost seconds searching for the doorbell. After making the delivery, they do the paperwork on the way back to the truck.

Productivity experts describe UPS as one of the most efficient companies anywhere in applying effective labor standards.

Sources: G.Niemann Big Brown: 1; The Untold Story of UPS NewYork: Wiley, 2007; and IIE Solutions (March 2002): 16.

OM in Action �UPS: The Tightest Ship in the Shipping Business

available. The most common predetermined time standard is methods time measurement (MTM), which is a product of the MTM Association.3

Predetermined time standards are an outgrowth of basic motions called therbligs. The term therblig was coined by Frank Gilbreth (Gilbreth spelled backwards, with the t and h reversed). Therbligs include such activities as select, grasp, position, assemble, reach, hold, rest, and inspect. These activities are stated in terms of time measurement units (TMUs), which are equal to only .00001 hour, or .0006 minute each. MTM values for various therbligs are specified in very detailed tables. Figure 10.9, for example, provides the set of time stan- dards for the motion GET and PLACE. To use GET and PLACE, one must know what is “gotten,” its approximate weight, and where and how far it is supposed to be placed.

Example 4 shows a use of predetermined time standards in setting service labor standards.

Before an assembly line, like this one in China, is set up, the company establishes labor standards to assist in layout and staff planning.

Therbligs Basic physical elements of motion.

Time measurement units (TMUs) Units for very basic micromotions in which 1 TMU = .0006 min or 100,000 TMUs = 1 hr.

3MTM is really a family of products available from the Methods Time Measurement Association. For example, MTM- HC deals with the health care industry, MTM-C handles clerical activities, MTM-M involves microscope activities, MTM-V deals with machine shop tasks, and so on.

324 PART 2 Designing Operations

GET and PLACE DISTANCE RANGE IN

IN. <8

WEIGHT CONDITIONS

OF GET PLACE ACCURACY

APPROXIMATE

LOOSE

TIGHT

APPROXIMATE

LOOSE

TIGHT

APPROXIMATE

APPROXIMATE

LOOSE

TIGHT

APPROXIMATE

LOOSE

TIGHT

MTM CODE

AA

AB

AC

AD

AE

AF

AG

AH

AJ

AK

AL

AM

AN

20

30

40

20

30

40

40

25

40

50

90

95

120

35

45

55

45

55

65

65

45

65

75

106

120

145

50

60

70

60

70

80

80

55

75

85

115

130

160

1

>8 <20

<2 LB

>2 LB <18 LB

>18 LB <45 LB

EASY

DIFFICULT

HANDFUL

2

>20 <32

3

� FIGURE 10.9 Sample MTM Table for GET and PLACE Motion Time values are in TMUs.

Source: Copyrighted by the MTM Association for Standards and Research. No reprint permission without consent from the MTM Association, 16–01 Broadway, Fair Lawn, NJ 07410 Used with permission of MTM Association for Standards & Research.

EXAMPLE 4 � Using predetermined time (MTM analysis) to determine standard time

General Hospital wants to set the standard time for lab technicians to pour a tube specimen using MTM.4

APPROACH � This is a repetitive task for which the MTM data in Table 10.3 may be used to develop standard times. The sample tube is in a rack and the centrifuge tubes in a nearby box. A technician removes the sample tube from the rack, uncaps it, gets the centrifuge tube, pours, and places both tubes in the rack.

SOLUTION � The first work element involves getting the tube from the rack. The conditions for GETTING the tube and PLACING it in front of the technician are:

• Weight: (less than 2 pounds) • Conditions of GET: (easy) • Place accuracy: (approximate) • Distance range: (8 to 20 inches)

Then the MTM element for this activity is AA2 (as seen in Figure 10.9). The rest of Table 10.3 is developed from similar MTM tables.

INSIGHT � Most MTM calculations are computerized, so the user need only key in the appropri- ate MTM codes, such as AA2 in this example.

LEARNING EXERCISE � General Hospital decides that the first step in this process really involves a distance range of 4 inches (getting the tube from the rack). The other work elements are unchanged. What is the new standard time? [Answer: .134 min. or just over 8 seconds]

RELATED PROBLEM � 10.36

4A. S. Helms, B. W. Shaw, and C. A. Lindner, “The Development of Laboratory Workload Standards through Computer-Based Work Measurement Technique, Part I,” Journal of Methods-Time Measurement 12: 43. Used with per- mission of MTM Association for Standards and Research.

Element Description Element Time

Get tube from rack AA2 35 Uncap, place on counter AA2 35 Get centrifuge tube, place at sample tube AD2 45 Pour (3 sec) PT 83 Place tubes in rack (simo) PC2 40

Total TMU 238 .0006 * 238 = Total standard minutes = .143 or about 8.6 seconds

TABLE 10.3 � MTM-HC Analysis:

Pouring Tube Specimen

Chapter 10 Human Resources, Job Design, and Work Measurement 325

Predetermined time standards have several advantages over direct time studies. First, they may be established in a laboratory environment, where the procedure will not upset actual production activities (which time studies tend to do). Second, because the standard can be set before a task is actually performed, it can be used for planning. Third, no performance ratings are necessary. Fourth, unions tend to accept this method as a fair means of setting standards. Finally, predeter- mined time standards are particularly effective in firms that do substantial numbers of studies of similar tasks. To ensure accurate labor standards, some firms use both time studies and predeter- mined time standards.

Work Sampling The fourth method of developing labor or production standards, work sampling, was developed in England by L. Tippet in the 1930s. Work sampling estimates the percent of the time that a worker spends on various tasks. Random observations are used to record the activity that a worker is performing. The results are primarily used to determine how employees allocate their time among various activities. Knowledge of this allocation may lead to staffing changes, reas- signment of duties, estimates of activity cost, and the setting of delay allowances for labor stan- dards. When work sampling is done to establish delay allowances, it is sometimes called a ratio delay study.

The work-sampling procedure can be summarized in five steps:

1. Take a preliminary sample to obtain an estimate of the parameter value (e.g., percent of time a worker is busy).

2. Compute the sample size required. 3. Prepare a schedule for observing the worker at appropriate times. The concept of random

numbers is used to provide for random observation. For example, let’s say we draw the fol- lowing five random numbers from a table: 07, 12, 22, 25, and 49. These can then be used to create an observation schedule of 9:07 A.M., 9:12, 9:22, 9:25, 9:49.

4. Observe and record worker activities. 5. Determine how workers spend their time (usually as a percentage).

Work sampling An estimate, via sampling, of the percent of the time that a worker spends on various tasks.

Using the techniques of this chapter to develop labor standards, operations managers at Orlando’s Arnold Palmer Hospital determined that nurses walked an average of 2.7 miles per day. This constitutes up to 30% of the nurse’s time, a terrible waste of critical talent. Analysis resulted in a new layout design that has reduced walking distances by 20%.

326 PART 2 Designing Operations

To determine the number of observations required, management must decide on the desired confidence level and accuracy. First, however, the analyst must select a preliminary value for the para- meter under study (Step 1 above). The choice is usually based on a small sample of perhaps 50 obser- vations. The following formula then gives the sample size for a desired confidence and accuracy:

(10-7)

where n � required sample size z � number of standard deviations for the desired confidence level (z � 1

for 68% confidence, for 95.45% confidence, and for 99.73% confidence—these values are obtained from Table 10.2 or the normal table in Appendix I)

p � estimated value of sample proportion (of time worker is observed busy or idle) h � acceptable error level, in percent

Example 5 shows how to apply this formula.

z = 3z = 2

n = z2p11 - p2

h2

EXAMPLE 5 � Determining the number of work sample observations needed

The manager of Michigan County’s welfare office, Dana Johnson, estimates that her employees are idle 25% of the time. She would like to take a work sample that is accurate within 3% and wants to have 95.45% confidence in the results.

APPROACH � Dana applies Equation (10-7) to determine how many observations should be taken.

SOLUTION � Dana computes n:

where required sample size 2 for 95.45% confidence level estimate of idle proportion 25% acceptable error of

She finds that

INSIGHT � Thus, 833 observations should be taken. If the percent of idle time observed is not close to 25% as the study progresses, then the number of observations may have to be recalculated and increased or decreased as appropriate.

LEARNING EXERCISE � If the confidence level increases to 99.73%, how does the sample size change? [Answer: ]

RELATED PROBLEMS � 10.31, 10.32, 10.35, 10.37

ACTIVE MODEL 10.1 This example is further illustrated in Active Model 10.1 at www.pearsonhighered.com/heizer.

n = 1,875.

n = 12221.2521.752

1.0322 = 833 observations

3% = .03h = = .25=p =

p = n =

n = z2p11 - p2

h2

The focus of work sampling is to determine how workers allocate their time among various activities. This is accomplished by establishing the percent of time individuals spend on these activities rather than the exact amount of time spent on specific tasks. The analyst simply records in a random, nonbiased way the occurrence of each activity. Example 6 shows the procedure for evaluating employees at the state welfare office introduced in Example 5.

EXAMPLE 6 � Determining employee time allocation with work sampling

Dana Johnson, the manager of Michigan County’s welfare office, wants to be sure her employees have adequate time to provide prompt, helpful service. She believes that service to welfare clients who phone or walk in without an appointment deteriorates rapidly when employees are busy more than 75% of the time. Consequently, she does not want her employees to be occupied with client service activi- ties more than 75% of the time.

APPROACH � The study requires several things: First, based on the calculations in Example 5, 833 observations are needed. Second, observations are to be made in a random, nonbiased way

Chapter 10 Human Resources, Job Design, and Work Measurement 327

over a period of 2 weeks to ensure a true sample. Third, the analyst must define the activities that are “work.” In this case, work is defined as all the activities necessary to take care of the client (fil- ing, meetings, data entry, discussions with the supervisor, etc.). Fourth, personal time is to be included in the 25% of nonwork time. Fifth, the observations are made in a nonintrusive way so as not to distort the normal work patterns. At the end of the 2 weeks, the 833 observations yield the following results:

SOLUTION � The analyst concludes that all but 188 observations (126 idle and 62 personal) are work related. Since 22.6% ( 188/833) is less idle time than Dana believes necessary to ensure a high client service level, she needs to find a way to reduce current workloads. This could be done through a reassignment of duties or the hiring of additional personnel.

INSIGHT � Work sampling is particularly helpful when determining staffing needs or the reallo- cation of duties (see Figure 10.10).

LEARNING EXERCISE � The analyst working for Dana recategorizes several observations. There are now 450 “on the phone/meeting with client” observations, 156 “idle,” and 67 “personal time” observations. The last two categories saw no changes. Do the conclusions change? [Answer: Yes; now about 27% of employee time is not work related—over the 25% Dana desires.]

RELATED PROBLEM � 10.34

=

No. of Observations Activity

485 On the phone or meeting with a welfare client 126 Idle 62 Personal time 23 Discussions with supervisor

137 Filing, meeting, and computer data entry 833

The results of similar studies of salespeople and assembly-line employees are shown in Figure 10.10.

Work sampling offers several advantages over time-study methods. First, because a single observer can observe several workers simultaneously, it is less expensive. Second, observers usu- ally do not require much training, and no timing devices are needed. Third, the study can be tem- porarily delayed at any time with little impact on the results. Fourth, because work sampling uses instantaneous observations over a long period, the worker has little chance of affecting the study’s outcome. Fifth, the procedure is less intrusive and therefore less likely to generate objections.

� FIGURE 10.10 Work-Sampling Time Studies These two work-sampling time studies were done to determine what salespeople do at a wholesale electronics distributor (left) and a composite of several auto assembly-line employees (right).

Startup/pep talk 3%

Unscheduled tasks and downtime

4%

Breaks and lunch 10% Dead time

between tasks 13%

Productive work 67%

Cleanup 3%

Sales in person 20%

Lunch and personal

10%

Travel 20%

Paperwork 17%

Telephone sales 12%

Telephone within firm

13% Meetings and other

8%

Salespeople Assembly-Line Employees

328 PART 2 Designing Operations

5The Occupational Safety and Health Administration (OSHA) is a federal government agency whose task is to ensure the safety and health of U.S. workers. 6Material safety data sheets (MSDS) contain details of hazards associated with chemicals and give information on their safe use.

The disadvantages of work sampling are (1) it does not divide work elements as completely as time studies, (2) it can yield biased or incorrect results if the observer does not follow ran- dom routes of travel and observation, and (3) because it is less intrusive, it tends to be less accurate; this is particularly true when job content times are short.

ETHICS Ethics in the workplace presents some interesting challenges. As we have suggested in this chapter, many constraints influence job design. The issues of fairness, equity, and ethics are pervasive. Whether the issue is equal opportunity or safe working conditions, an operations manager is often the one responsible. Managers do have some guidelines. By knowing the law, working with OSHA,5 MSDS,6 state agencies, unions, trade associations, insurers, and employees, managers can often determine the parameters of their decisions. Human resource and legal departments are also available for help and guidance through the labyrinth of laws and regulations.

Management’s role is to educate employees; specify the necessary equipment, work rules, and work environment; and then enforce those requirements, even when employees think it is not necessary to wear safety equipment. We began this chapter with a discussion of mutual trust and commitment, and that is the environment that managers should foster. Ethical man- agement requires no less.

CHAPTER SUMMARY Outstanding firms know that their human resource strategy can yield a competitive advantage. Often a large percentage of employees and a large part of labor costs are under the direction of OM. Consequently, an operations manager usually has a major role to play in achieving human resource objectives. A requirement is to build an environment with mutual respect and commitment and a reasonable quality of work life. Successful organizations have designed jobs that use both the mental and physical capabilities of their employees. Regardless of the strategy chosen, the skill with which a firm manages its human resources ultimately determines its success.

Labor standards are required for an efficient operations system. They are needed for production planning, labor planning, costing, and evaluating per- formance. They are used throughout industry—from the factory to finance, sales, and the office. They can also be used as a basis for incentive systems. Standards may be established via historical data, time studies, predetermined time standards, and work sampling.

Key Terms

Labor planning (p. 307) Job design (p. 308) Labor specialization (or job

specialization) (p. 308) Job enlargement (p. 309) Job rotation (p. 309) Job enrichment (p. 309) Employee empowerment (p. 309) Self-directed team (p. 310)

Ergonomics (p. 311) Methods analysis (p. 314) Flow diagram (p. 314) Process chart (p. 315) Activity chart (p. 315) Operations chart (p. 315) Visual workplace (p. 315) Labor standards (p. 317) Time study (p. 317)

Average observed time (p. 318) Normal time (p. 318) Standard time (p. 319) Predetermined time standards (p. 322) Therbligs (p. 323) Time measurement units (TMUs) (p. 323) Work sampling (p. 325)

AUTHOR COMMENT Mutual trust and commitment

cannot be acheived without ethical behavior.

Chapter 10 Human Resources, Job Design, and Work Measurement 329

� SOLVED PROBLEM 10.1 As pit crew manager for Rusty Wallace’s NASCAR team (see the Global Company Profile that opens this chapter), you would like to evaluate how your “Jackman” (JM) and “Gas Man #1” (GM #1) are utilized. Recent stopwatch studies have verified the following times:

Pit crew Activity Time (seconds)

JM Move to right side of car and raise car 4.0 GM #1 Move to rear gas filler 2.5 JM Move to left side of car and raise car 3.8 JM Wait for tire 1.0 GM #1 Load fuel (per gallon) 0.5 JM Wait for tire 1.2 JM Move back over wall from left side 2.5 GM #1 Move back over the wall from gas filler 2.5

Use an activity chart similar to the one in Figure 10.6 as an aid.

� SOLUTION

Solved Problems Virtual Office Hours help is available at www.myomlab.com

4.0

Jackman (Seconds)

Move to right side of car and raise car

Move to rear gas filler

Move back over the wall from gas filler

Load 11 gallons of fuel (one can of fuel)

Wait for tire exchange to finish

Wait for tire exchange to finish

Move to left side of car and raise car

Move back over wall from left side

Gas Man #1 (Seconds)

1.0

3.8

1.2

2.5

2.5

2.5

5.5

� SOLVED PROBLEM 10.2 A work operation consisting of three elements has been subjected to a stopwatch time study. The recorded observations are shown in the following table. By union contract, the allowance time for the operation is personal time 5%, delay 5%, and fatigue 10%. Determine the standard time for the work operation.

� SOLUTION First, delete the two observations that appear to be very unusual (.9 minute for job element A and 3.2 minutes for job element B). Then:

Then: Standard time = 1.31

1 - .20 = 1.64 min

Note, the total allowance factor = .05 + .05 + .10 = .20 Normal time for job = .16 + .75 + .40 = 1.31 min

C’s normal time = 1.5021.802 = .40 min B’s normal time = 1.68211.102 = .75 min A’s normal time = 1.1821.902 = .16 min

C’s average observed time = .5 + .5 + .4 + .5 + .6 + .5

6 = .50 min

B’s average observed time = .8 + .6 + .8 + .5 + .7

5 = .68 min

A’s average observed time = .1 + .3 + .2 + .2 + .1

5 = .18 min

Job Observations (minutes) Performance Element 1 2 3 4 5 6 Rating (%)

A .1 .3 .2 .9 .2 .1 90 B .8 .6 .8 .5 3.2 .7 110 C .5 .5 .4 .5 .6 .5 80

330 PART 2 Designing Operations

� SOLVED PROBLEM 10.3 The preliminary work sample of an operation indicate the following:

Number of times operator working 60 Number of times operator idle 40 Total number of preliminary observations 100

What is the required sample size for a 99.73% confidence level with precision?; 4%

� SOLUTION for 99.73% confidence;

So:

n = z2p11 - p2

h2 = 13221.621.42

1.0422 = 1,350 sample size

p = 60

100 = .6; h = .04z = 3

� SOLVED PROBLEM 10.4 Amor Manufacturing Co. of Geneva, Switzerland, has just observed a job in its laboratory in anticipation of releasing the job to the factory for production. The firm wants rather good accuracy for costing and labor forecasting. Specifically, it wants to provide a 99% confidence level and a cycle time that is within 3% of the true value. How many observations should it make? The data col- lected so far are as follows:

� SOLUTION

First, solve for the mean, , and the sample standard deviation, s:

s = Q

a(Each sample observation - x) 2

Number in sample - 1

x

Observation Time

1 1.7 2 1.6 3 1.4 4 1.4 5 1.4

Observation xi x xi - x 1xi - x22

1 1.7 1.5 .2 0.04 2 1.6 1.5 .1 0.01 3 1.4 1.5 - .1 0.01 4 1.4 1.5 - .1 0.01 5 1.4 1.5 - .1 0.01

x = 1.5 0.08 = a(xi-x) 2

where

(from Table 10.2)

Therefore, you round up to 66 observations.

h = .03 z = 2.58 s = .141 x = 1.5

Then, solve for n = ¢ zs hx ≤2 = B12.5821.1412

1.03211.52 R2 = 65.3s = A .08n - 1 = A .084 = .141

� SOLVED PROBLEM 10.5 At Maggard Micro Manufacturing, Inc., workers press semicon- ductors into predrilled slots on printed circuit boards. The ele- mental motions for normal time used by the company are as follows:

� SOLUTION Add the time measurement units:

Time in seconds = 1.122160 sec2 = 7.2 sec Time in minutes = 120021.0006 min.2 = .12 min

40 + 10 + 30 + 35 + 65 + 20 = 200

Reach 6 inches for semiconductors 40 TMU Grasp the semiconductor 10 TMU Move semiconductor to printed circuit board 30 TMU Position semiconductor 35 TMU Press semiconductor into slots 65 TMU Move board aside 20 TMU

(Each time measurement unit is equal to .0006 min.) Determine the normal time for this operation in minutes and in seconds.

Chapter 10 Human Resources, Job Design, and Work Measurement 331

� SOLVED PROBLEM 10.6 To obtain the estimate of time a worker is busy for a work sam- pling study, a manager divides a typical workday into 480 min- utes. Using a random-number table to decide what time to go to an area to sample work occurrences, the manager records observa- tions on a tally sheet like the following:

� SOLUTION In this case, the supervisor made 20 observations and found that employees were working 80% of the time. So, out of 480 minutes in an office workday, 20%, or 96 minutes, was idle time, and 384 minutes was productive. Note that this procedure describes that a worker is busy, not necessarily what he or she should be doing.

Status Tally

Productively working |||| |||| |||| | Idle ||||

�Additional Case Studies: Visit www.myomlab.com or www.pearsonhighered.com/heizer for these free case studies: Chicago Southern Hospital: Examines the requirements for a work-sampling plan for nurses. Karstadt versus JCPenney: Compares the work culture in retailing in the U.S. to Germany. The Fleet That Wanders: Requires a look at ergonomic issues for truck drivers.

Bibliography

Aft, Larry, and Neil Schmeidler. “Work Measurement Practices.” Industrial Engineer 35, no. 11 (November 2003): 44.

Barber, Felix, and Rainer Strack. “The Surprising Economics of a People Business.” Harvard Business Review 83, no. 6 (June 2005): 81–90.

Barnes, R. M. Motion and Time Study, Design and Measurement of Work, 7th ed. New York: Wiley, 1980.

Bridger, R. S. Introduction to Ergonomics, 3rd ed. New York: CRC Press, 2008.

De Jong, A., K. De Ruyter, and J. Lemmink. “Service Climate in Self-Managing Teams.” The Journal of Management Studies 42, no. 8 (December 2005): 1593.

Elnekave, M., and I. Gilad. “Rapid Video-Based Analysis System for Advanced Work Measurement.” International Journal of Production Research 44, no. 2 (January 2006): 271.

Freivalds, Andris, and B. W. Niebel. Methods, Standards, and Work Design, 12th ed. New York: Irwin/McGraw-Hill, 2009.

Huselid, Mark A., Richard W. Beatty, and Brian E. Becker. “ ‘A Players’ or ‘A Positions’? The Strategic Logic of Workforce

Management.” Harvard Business Review (December 2005): 110–117.

Konz, S., and Steven Johnson. Work Design: Industrial Ergonomics, 6th ed. Scottsdale, AZ: Holcomb Hathaway, 2004.

Muthusamy, S. K., J. V. Wheeler, and B. L. Simmons. “Self- Managing Work Teams.” Organization Development Journal 23, no. 3 (Fall 2005): 53–66.

Pfeffer, Jeffrey. “Producing Sustainable Competitive Advantage Through the Effective Management of People.” Academy of Management Executive 19, no. 4 (2005): 95.

Sadikoglu, E. “Integration of Work Measurement and Total Quality Management.” Total Quality Management and Business Excellence 16, no. 5 (July 2005): 597.

Salvendy, G., ed. Handbook of Human Factors and Ergonomics, 3rd ed. New York: Wiley, 2006.

Tolo, B. “21st-Century Stopwatch.” Industrial Engineer 37, no. 7 (July 2005): 34–37.

Walsh, Ellen. “Get Results with Workload Management.” Nursing Management (October 2003): 16.

This page intentionally left blank

Chapter Outline

GLOBAL COMPANY PROFILE: DARDEN RESTAURANTS

The Supply Chain’s Strategic Importance 336

Ethics and Sustainability 339

Supply-Chain Economics 340

Supply-Chain Strategies 341

Managing the Supply Chain 343

E-Procurement 347

Vendor Selection 349

Logistics Management 350

Measuring Supply-Chain Performance 354

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

PART THREE Managing Operations (Chapters 11–17)

333

Supply-Chain Management

D arden Restaurants, Inc., is the largest

publicly traded casual dining restaurant

company in the world. It serves over 400

million meals annually from more than

1,700 restaurants in the U.S. and Canada. Each of

its well-known flagship brands—Olive Garden and

Red Lobster—generates sales of $2 billion annually.

Darden’s other brands include Bahama Breeze,

Seasons 52, Capital Grille, and LongHorn

Steakhouse. The firm employs more than 150,000

people and is the 29th largest employer in the U.S.

“Operations is typically thought of as an execution

of strategy. For us it is the strategy,” Darden’s former

chairman, Joe R. Lee, stated.

In the restaurant business, a winning strategy

requires a winning supply chain. Nothing is more

important than sourcing and delivering healthy, high-

quality food; and there are very few other industries

where supplier performance is so closely tied to the

customer.

Darden sources its food from five continents and

thousands of suppliers. To meet Darden’s needs for

fresh ingredients, the company has developed four

distinct supply chains: one for seafood; one for

dairy/produce/other refrigerated foods; a third for

other food items, like baked goods; and a fourth for

restaurant supplies (everything from dishes to ovens

to uniforms). Over $1.5 billion is spent in these supply

chains annually. (See the Video Case Study in the

Lecture Guide & Activities Manual for details.)

Darden’s four supply channels have some common

characteristics. They all require supplier qualification,

have product tracking, are subject to independent

audits, and employ just-in-time delivery. With best-

in-class techniques and processes, Darden creates

worldwide supply-chain partnerships and alliances

that are rapid, transparent, and efficient. Darden

achieves competitive advantage through its superior

supply chain.

� Aquaculture Certification: Shrimp in this Asian plant are certified to ensure traceability. The focus is on quality control certified by the Aquaculture Certification Council, of which Darden is a member. Farming and inspection practices yield safe and wholesome shrimp.

� Qualifying Worldwide Sources: Part of Darden’s supply chain begins with a crab harvest in the frigid waters off the coast of Alaska. But long before a supplier is qualified to sell to Darden, a total quality team is appointed. The team provides guidance, assistance, support, and training to the suppliers to ensure that overall objectives are understood and desired results accomplished.

GLOBAL COMPANY PROFILE: DARDEN RESTAURANTS

DARDEN’S SUPPLY CHAIN YIELDS A COMPETITIVE EDGE

334

� Product tracking: Darden’s seafood inspection team developed an integral system that uses a lot ID to track seafood from its origin through shipping and receipt. Darden uses a modified atmosphere packaging (MAP) process to extend the shelf life and preserve the quality of its fresh fish. The tracking includes time temperature monitoring.

� Independent audits of suppliers: To provide fair and accurate assessment, Darden’s Total Quality Supplier Program includes an independent verification program. Each supplier is evaluated regularly by independent auditors on a risk-based schedule to determine the supplier’s effectiveness.

� JIT Delivery: For many products, temperature monitoring begins immediately and is tracked through the entire supply chain, to the kitchen at each of Darden’s 1,700 restaurants and ultimately to the guest.

DARDEN RESTAURANTS �

335

336 PART 3 Managing Operations

THE SUPPLY CHAIN’S STRATEGIC IMPORTANCE Most firms, like Darden, spend a huge portion of their sales dollars on purchases. Because an increasing percentage of an organization’s costs are determined by purchasing, relationships with suppliers are increasingly integrated and long term. Joint efforts that improve innovation, speed design, and reduce costs are common. Such efforts, when part of a corporate-wide strat- egy, can dramatically improve both partners’ competitiveness. This integrated focus places added emphasis on managing supplier relationships.

Supply-chain management is the integration of the activities that procure materials and ser- vices, transform them into intermediate goods and final products, and deliver them to customers. These activities include purchasing and outsourcing activities, plus many other functions that are important to the relationship with suppliers and distributors. As Figure 11.1 suggests, supply- chain management includes determining (1) transportation vendors, (2) credit and cash transfers, (3) suppliers, (4) distributors, (5) accounts payable and receivable, (6) warehousing and

LO1: Explain the strategic importance of the supply chain 337

LO2: Identify six supply-chain strategies 341

LO3: Explain issues and opportunities in the supply chain 344

LO4: Describe the steps in vendor selection 349

Chapter 11 Learning Objectives

Supply-chain management Management of activities that procure materials and services, transform them into intermediate goods and final products, and deliver them through a distribution system.

LO5: Explain major issues in logistics management 351

LO6: Compute the percentage of assets committed to inventory and inventory turnover 354

AUTHOR COMMENT Competition today is not between companies; it is between supply chains.

Distributor Sam’s GroceryFarm

Bottle manufacturing

Tier 3 suppliers

Tier 2 suppliers

Tier 1 suppliers

Can manufacturing

$1.18

Customer

$3.36

$4.62

6 12-oz beers

S3 S2

S3

S3

S2

S2

S1

S1

Brewer

Sam’s Grocery

Hops/grains

Hops, grain

$0.34

• Scheduling information

• Order and cash flow

• Market research data

• Design data

$6.99

• Credit flow • Ideas and design to satisfy the end customers

• Material flow

� FIGURE 11.1 A Supply Chain for Beer The supply chain includes all the interactions among suppliers, manufacturers, distributors, and customers. The chain includes transportation, scheduling information, cash and credit transfers, as well as ideas, designs, and material transfers. Even can and bottle manufacturers have their own tiers of suppliers providing components such as lids, labels, packing containers, etc. (Costs are approximate and include substantial taxes.)

Chapter 11 Supply-Chain Management 337

inventory, (7) order fulfillment, and (8) sharing customer, forecasting, and production informa- tion. The objective is to build a chain of suppliers that focuses on maximizing value to the ulti- mate customer.

As firms strive to increase their competitiveness via product customization, high quality, cost reductions, and speed to market, added emphasis is placed on the supply chain. Effective supply chain management makes suppliers “partners” in the firm’s strategy to satisfy an ever-changing marketplace. A competitive advantage may depend on a close long-term strategic relationship with a few suppliers.

To ensure that the supply chain supports the firm’s strategy, managers need to consider the supply chain issues shown in Table 11.1. Activities of supply chain managers cut across account- ing, finance, marketing, and the operations discipline. Just as the OM function supports the firm’s overall strategy, the supply chain must support the OM strategy. Strategies of low cost or rapid response demand different things from a supply chain than a strategy of differentiation. For instance, a low-cost strategy, as Table 11.1 indicates, requires suppliers be selected based primar- ily on cost. Such suppliers should have the ability to design low-cost products that meet the func- tional requirements, minimize inventory, and drive down lead times. However, if you want roses that are fresh, build a supply chain that focuses on response (see the OM in Action box “A Rose Is a Rose, but Only if It Is Fresh”).

Firms must achieve integration of strategy up and down the supply chain, and must expect that strategy to be different for different products and to change as products move through their life cycle. Darden Restaurants, as noted in the opening Global Company Profile, has mastered worldwide product and service complexity by segmenting its supply chain and at the same time integrating four unique supply chains into its overall strategy.

Supply-Chain Risk In this age of increasing specialization, low communication cost, and fast transportation, compa- nies are making less and buying more. This means more reliance on supply chains and more risk. Managing the new integrated supply chain is a strategic challenge. Having fewer suppliers makes the supplier and customer more dependent on each other, increasing risk for both. This risk is compounded by globalization and logistical complexity. In any supply chain, vendor reliability and quality may be challenging, but the new paradigm of a tight, fast, low-inventory supply chain, operating across political and cultural boundaries, adds a new dimension to risk. As organizations go global, shipping time may increase, logistics may be less reliable, and tariffs

LO1: Explain the strategic importance of the supply chain

� TABLE 11.1 How Supply-Chain Decisions Affect Strategy*

Low-Cost Strategy Response Strategy Differentiation Strategy

Supplier’s goal Supply demand at lowest possible cost (e.g., Emerson Electric, Taco Bell)

Respond quickly to changing requirements and demand to minimize stockouts (e.g., Dell Computer)

Share market research; jointly develop products and options (e.g., Benetton)

Primary selection criteria Select primarily for cost Select primarily for capacity, speed, and flexibility

Select primarily for product development skills

Process characteristics Maintain high average utilization

Invest in excess capacity and flexible processes

Use modular processes that lend themselves to mass customization

Inventory characteristics Minimize inventory throughout the chain to hold down costs

Develop responsive system, with buffer stocks positioned to ensure supply

Minimize inventory in the chain to avoid obsolescence

Lead-time characteristics Shorten lead time as long as it does not increase costs

Invest aggressively to reduce production lead time

Invest aggressively to reduce development lead time

Product-design characteristics

Maximize performance and minimize cost

Use product designs that lead to low setup time and rapid production ramp-up

Use modular design to postpone product differentiation for as long as possible

*See related table and discussion in Marshall L. Fisher, “What Is the Right Supply Chain for Your Product?” Harvard Business Review (March–April 1997): 105.

AUTHOR COMMENT The environment, controls,

and process performance all affect supply-chain risk.

VIDEO 11.1 Darden’s Global Supply Chain

338 PART 3 Managing Operations

and quotas may block companies from doing business. In addition, international supply chains complicate information flows and increase political and currency risks.

Thus, the development of a successful strategic plan for supply-chain management requires careful research, an understanding of the risk involved, and innovative planning. Reducing risk in this increasingly global environment suggests that management must be able to mitigate and react to disruptions in:

1. Processes (raw material and component availability, quality, and logistics) 2. Controls (management metrics and reliable secure communication for financial trans-

actions, product designs, and logistics scheduling) 3. Environment (customs duties, tariffs, security screening, natural disaster, currency fluctua-

tions, terrorist attacks, and political issues)

Let’s look at how several organizations address these risks in their supply chains:

• To reduce process risk, McDonald’s planned its supply chain 6 years in advance of its open- ing in Russia. Creating a $60 million “food town,” it developed independently owned supply plants in Moscow to keep its transportation costs and handling times low and its quality and customer-service levels high. Every component in this food chain—meat plant, chicken plant, bakery, fish plant, and lettuce plant—is closely monitored to make sure that all the system’s links are strong.

• Ford’s process risk reduction strategy is to develop a global network of few but exceptional suppliers who will provide the lowest cost and highest quality. This has driven one division’s supplier base down to only 227 suppliers worldwide, compared with 700 previously.

• Darden Restaurants has placed extensive controls, including third-party audits, on supplier processes and logistics to ensure constant monitoring and reduction of risk.

• Boeing is reducing control risk through its state-of-the-art international communication system that transmits engineering, scheduling, and logistics data not only to Boeing facilities but to the suppliers of the 75% to 80% of the 787 Dreamliner that is built by non-Boeing companies.

• Hard Rock Cafe is reducing environmental (political) risk by franchising and licensing, rather than owning, when the political and cultural barriers seem significant.

• Toyota, after its experience with both fire and earthquakes, has moved to reduce environmental (natural disaster) risk with a policy of having at least two suppliers for each component.

Tight integration of the supply chain can have significant benefits, but the risks can and must be managed.

Supply chains for food and flowers must be fast, and they must be good. When the food supply chain has a problem, the best that can happen is the customer does not get fed on time; the worst that happens is the customer gets food poisoning and dies. In the floral industry, the timing and temperature are also critical. Indeed, flowers are the most perishable agricultural item—even more so than fish. Flowers not only need to move fast, but they must also be kept cool, at a constant temperature of 33 to 37 degrees. And they must be provided preservative-treated water while in transit. Roses are especially delicate, fragile, and perishable.

Seventy percent of the roses sold in the U.S. market arrive by air from rural Colombia and Ecuador. Roses move through this supply chain via an intricate but fast transportation network. This network stretches from growers who cut, grade, bundle, pack and ship, to importers who make the deal, to the U.S. Department of Agriculture personnel who quarantine and inspect for insects, diseases, and parasites, to U.S. Customs agents who inspect and approve, to facilitators who provide

clearance and labeling, to wholesalers who distribute, to retailers who arrange and sell, and finally to the customer. Each and every minute the product is deteriorating. The time and temperature sensitivity of perishables like roses requires sophistication and refined standards in the supply chain.

Success yields quality and low losses. After all, when it’s Valentine’s Day, what good is a shipment of roses that arrives wilted or late? This is a difficult supply chain; only an excellent one will get the job done.

Sources: IIE Solutions (February 2002): 26–32; and World Trade (June 2004): 22–25.

OM in Action OMinAction� A Rose Is a Rose, but Only if It Is Fresh

Chapter 11 Supply-Chain Management 339

ETHICS AND SUSTAINABILITY Let’s look at three aspects of ethics in the supply chain: personal ethics, ethics within the supply chain, and ethical behavior regarding the environment.

Personal Ethics Ethical decisions are critical to the long-term success of any organization. However, the supply chain is particularly susceptible to ethical lapses, as the opportunities for uneth- ical behavior are enormous. With sales personnel anxious to sell and purchasing agents spending huge sums, temptations abound. Many salespeople become friends with customers, do favors for them, take them to lunch, or present small (or large) gifts. Determining when tokens of friendship become bribes can be challenging. Many companies have strict rules and codes of conduct that limit what is acceptable. Recognizing these issues, the Institute for Supply Management has developed principles and standards to be used as guidelines for ethical behavior (as shown in Table 11.2). As the supply chain becomes international, operations managers need to expect an additional set of ethical issues to manifest themselves as they deal with new cultural values.

Ethics within the Supply Chain In this age of hyper-specialization, much of any organiza- tion’s resources are purchased, putting great stress on ethics in the supply chain. Managers may be tempted to ignore ethical lapses by suppliers or offload pollution to suppliers. But firms must establish standards for their suppliers, just as they have established standards for themselves. Society expects ethical performance throughout the supply chain. For instance, Gap Inc. reported that of its 3,000-plus factories worldwide, about 90% failed their initial evaluation.1 The report indicated that 10% to 25% of its Chinese factories engaged in psychological or verbal abuse, and more than 50% of the factories visited in sub-Saharan Africa operate without proper safety devices. The challenge of enforcing ethical standards is significant, but responsible firms such as Gap are finding ways to deal with this difficult issue.

Ethical Behavior Regarding the Environment While ethics on both a personal basis and in the supply chain are important, so is ethical behavior in regard to the environment. Good ethics extends to doing business in a way that supports conservation and renewal of resources. This requires evaluation of the entire environmental impact, from raw material, to manufacture, through use, and final disposal. For instance, Darden and Walmart require their shrimp and fish suppliers in Southeast Asia to abide by the standards of the Global Aquaculture Alliance. These standards must be met if suppliers want to maintain the business relationship. Operations

� TABLE 11.2 Principles and Standards of Ethical Supply Management Conduct

INTEGRITY IN YOUR DECISIONS AND ACTIONS; VALUE FOR YOUR EMPLOYER; LOYALTY TO YOUR PROFESSION

1. PERCEIVED IMPROPRIETY Prevent the intent and appearance of unethical or compromising conduct in relationships, actions and communications.

2. CONFLICTS OF INTEREST Ensure that any personal, business or other activity does not conflict with the lawful interests of your employer.

3. ISSUES OF INFLUENCE Avoid behaviors or actions that may negatively influence, or appear to influence, supply management decisions.

4. RESPONSIBILITIES TO YOUR EMPLOYER Uphold fiduciary and other responsibilities using reasonable care and granted authority to deliver value to your employer.

5. SUPPLIER AND CUSTOMER RELATIONSHIPS Promote positive supplier and customer relationships.

6. SUSTAINABILITY AND SOCIAL RESPONSIBILITY Champion social responsibility and sustainability practices in supply management.

7. CONFIDENTIAL AND PROPRIETARY INFORMATION Protect confidential and proprietary information.

8. RECIPROCITY Avoid improper reciprocal agreements.

9. APPLICABLE LAWS, REGULATIONS AND TRADE AGREEMENTS Know and obey the letter and spirit of laws, regulations and trade agreements applicable to supply management.

10. PROFESSIONAL COMPETENCE Develop skills, expand knowledge and conduct business that demonstrates competence and promotes the supply management profession.

Source: www.ism.ws

1Amy Merrick, “Gap Offers Unusual Look at Factory Conditions,” The Wall Street Journal (May 12, 2004): A1, A12.

AUTHOR COMMENT Because so much money

passes through the supply chain, the opportunity for

ethical lapses is significant.

340 PART 3 Managing Operations

EXAMPLE 1 � Profit potential in the supply chain

Hau Lee Furniture Inc. spends 50% of its sales dollar in the supply chain and has a net profit of 4%. Hau wants to know how many dollars of sales is equivalent to supply-chain savings of $1.

APPROACH � Table 11.4 (given Hau’s assumptions) can be used to make the analysis.

SOLUTION � Table 11.4 indicates that every $1 Hau can save in the supply chain results in the same profit that would be generated by $3.70 in sales.

INSIGHT � Effective management of the supply chain can generate substantial benefits.

LEARNING EXERCISE � If Hau increases his profit to 6%, how much of an increase in sales is necessary to equal $1 savings? [Answer: $3.57.]

RELATED PROBLEMS � 11.6, 11.7

Percentage of Sales Spent in the Supply Chain

Percentage Net Profit of Firm 30% 40% 50% 60% 70% 80% 90%

2 $2.78 $3.23 $3.85 $4.76 $6.25 $9.09 $16.67 4 $2.70 $3.13 $3.70 $4.55 $5.88 $8.33 $14.29 6 $2.63 $3.03 $3.57 $4.35 $5.56 $7.69 $12.50 8 $2.56 $2.94 $3.45 $4.17 $5.26 $7.14 $11.11

10 $2.50 $2.86 $3.33 $4.00 $5.00 $6.67 $10.00

aThe required increase in sales assumes that 50% of the costs other than purchases are variable and that half the remaining costs (less profit) are fixed. Therefore, at sales of $100 (50% purchases and 2% mar- gin), $50 are purchases, $24 are other variable costs, $24 are fixed costs, and $2 profit. Increasing sales by $3.85 yields the following:

Purchases at 50% $ 51.93 (50% of $103.85) Other Variable Costs 24.92 (24% of $103.85) Fixed Cost 24.00 (fixed) Profit 3.00 (from $2 to $3 profit)

$103.85

Through $3.85 of additional sales, we have increased profit by $1, from $2 to $3. The same increase in margin could have been obtained by reducing supply-chain costs by $1.

� TABLE 11.4 Dollars of Additional Sales Needed to Equal $1 Saved through the Supply Chaina

managers also ensure that sustainability is reflected in the performance of second- and third-tier suppliers. Enforcement can be done by in-house inspectors, third-party auditors, governmental agencies, or nongovernmental watchdog organizations. All four approaches are used.

The incoming supply chain garners most of the attention, but it is only part of the ethical chal- lenge of sustainability. The “return” supply chain is also significant. Returned products can only be burned, buried, or reused. And the first two options have adverse consequences. Once viewed in this manner, the need for operations managers to evaluate the entire product life cycle is apparent.

While 84% of an automobile and 90% of an airplane are recycled, these levels are not easily achieved. Recycling efforts began at product and process design. Then special end-of-product-life processes were developed. Oil, lead, gasoline, explosives in air bags, acid in batteries, and the many components (axles, differentials, jet engines, hydraulic valves) that still have many years of service all demand their own unique recovery, remanufacturing, or recycling process. This complexity places significant demands on the producer as well as return and reuse supply chains in the quest for sustainability. But pursuing this quest is the ethical thing to do. Saving the earth is a challenging task.

SUPPLY-CHAIN ECONOMICS The supply chain receives such attention because it is an integral part of a firm’s strategy and the most costly activity in most firms. For both goods and services, supply chain costs as a percent of sales are often substantial (see Table 11.3). Because such a huge portion of revenue is devoted to the supply chain, an effective strategy is vital. The supply chain provides a major opportunity to reduce costs and increase contribution margins.

Table 11.4 and Example 1 illustrate the amount of leverage available to the operations man- ager through the supply chain.

These numbers indicate the strong role that supply chains play in profitability.

� TABLE 11.3 Supply-Chain Costs as a Percentage of Sales

% Industry Purchased

Automobile 67 Beverages 52 Chemical 62 Food 60 Lumber 61 Metals 65 Paper 55 Petroleum 79 Transportation 62

AUTHOR COMMENT A huge part of a firm’s

revenue is typically spent on purchases, so this is a good

place to look for savings.

Chapter 11 Supply-Chain Management 341

Make-or-Buy Decisions A wholesaler or retailer buys everything that it sells; a manufacturing operation hardly ever does. Manufacturers, restaurants, and assemblers of products buy components and subassemblies that go into final products. As we saw in Chapter 5, choosing products and services that can be advant- ageously obtained externally as opposed to produced internally is known as the make-or-buy decision. Supply-chain personnel evaluate alternative suppliers and provide current, accurate, and complete data relevant to the buy alternative. Increasingly, firms focus not on an analytical make-or-buy decision but on identifying their core competencies.

Outsourcing Outsourcing transfers some of what are traditional internal activities and resources of a firm to outside vendors, making it slightly different from the traditional make-or-buy decision. Outsourcing is part of the continuing trend toward utilizing the efficiency that comes with specialization. The vendor performing the outsourced service is an expert in that particular specialty. This leaves the outsourcing firm to focus on its critical success factors, that is, its core competencies that yield a competitive advantage. Outsourcing is the focus of the supplement to this chapter.

SUPPLY-CHAIN STRATEGIES For goods and services to be obtained from outside sources, the firm must decide on a supply chain strategy. One such strategy is the approach of negotiating with many suppliers and play- ing one supplier against another. A second strategy is to develop long-term “partnering” rela- tionships with a few suppliers to satisfy the end customer. A third strategy is vertical integration, in which a firm decides to use vertical backward integration by actually buying the supplier. A fourth approach is some type of collaboration that allows two or more firms to com- bine resources—typically in what is called a joint venture—to produce a component. A fifth variation is a combination of few suppliers and vertical integration, known as a keiretsu. In a keiretsu, suppliers become part of a company coalition. Finally, a sixth strategy is to develop virtual companies that use suppliers on an as-needed basis. We will now discuss each of these strategies.

Many Suppliers With the many-suppliers strategy, a supplier responds to the demands and specifications of a “request for quotation,” with the order usually going to the low bidder. This is a common strategy when products are commodities. This strategy plays one supplier against another and places the burden of meeting the buyer’s demands on the supplier. Suppliers aggressively compete with one another. Although many approaches to negotiations can be used with this strategy, long-term “partnering” relationships are not the goal. This approach holds the supplier responsible for maintaining the necessary technology, expertise, and forecasting abilities, as well as cost, qual- ity, and delivery competencies.

Few Suppliers A strategy of few suppliers implies that rather than looking for short-term attributes, such as low cost, a buyer is better off forming a long-term relationship with a few dedicated suppliers. Long- term suppliers are more likely to understand the broad objectives of the procuring firm and the end customer. Using few suppliers can create value by allowing suppliers to have economies of scale and a learning curve that yields both lower transaction costs and lower production costs.

Few suppliers, each with a large commitment to the buyer, may also be more willing to partic- ipate in JIT systems as well as provide design innovations and technological expertise. Many firms have moved aggressively to incorporate suppliers into their supply systems. Ford, for one, now seeks to choose suppliers even before parts are designed. Motorola also evaluates sup- pliers on rigorous criteria, but in many instances has eliminated traditional supplier bidding, placing added emphasis on quality and reliability. On occasion these relationships yield contracts that extend through the product’s life cycle. The expectation is that both the purchaser and

Make-or-buy decision A choice between producing a component or service in-house or purchasing it from an outside source.

Outsourcing Transferring a firm’s activities that have traditionally been internal to external suppliers.

LO2: Identify six supply- chain strategies

AUTHOR COMMENT Supply-chain strategies come in many varieties; choosing the correct one is the trick.

VIDEO 11.2 Supply-Chain Management at

Regal Marine

342 PART 3 Managing Operations

supplier collaborate, becoming more efficient and reducing prices over time. The natural out- come of such relationships is fewer suppliers, but those that remain have long-term relationships.

Service companies like Marks & Spencer, a British retailer, have also demonstrated that coop- eration with suppliers can yield cost savings for customers and suppliers alike. This strategy has resulted in suppliers that develop new products, winning customers for Marks & Spencer and the supplier. The move toward tight integration of the suppliers and purchasers is occurring in both manufacturing and services.

Like all strategies, a downside exists. With few suppliers, the cost of changing partners is huge, so both buyer and supplier run the risk of becoming captives of the other. Poor supplier perfor- mance is only one risk the purchaser faces. The purchaser must also be concerned about trade secrets and suppliers that make other alliances or venture out on their own. This happened when the U.S. Schwinn Bicycle Co., needing additional capacity, taught Taiwan’s Giant Manufacturing Company to make and sell bicycles. Giant Manufacturing is now the largest bicycle manufacturer in the world, and Schwinn was acquired out of bankruptcy by Pacific Cycle LLC.

Vertical Integration Purchasing can be extended to take the form of vertical integration. By vertical integration, we mean developing the ability to produce goods or services previously purchased or to actually buy a supplier or a distributor. As shown in Figure 11.2, vertical integration can take the form of forward or backward integration.

Backward integration suggests a firm purchase its suppliers, as in the case of Ford Motor Company deciding to manufacture its own car radios. Forward integration, on the other hand, suggests that a manufacturer of components make the finished product. An example is Texas Instruments, a manufacturer of integrated circuits that also makes calculators and flat-screens containing integrated circuits for TVs.

Vertical integration can offer a strategic opportunity for the operations manager. For firms with the capital, managerial talent, and required demand, vertical integration may provide sub- stantial opportunities for cost reduction, quality adherence, and timely delivery. Other advan- tages, such as inventory reduction and scheduling, can accrue to the company that effectively manages vertical integration or close, mutually beneficial relationships with suppliers.

Because purchased items represent such a large part of the costs of sales, it is obvious why so many organizations find interest in vertical integration. Vertical integration appears to work best when the organization has large market share and the management talent to operate an acquired vendor successfully.

The relentless march of specialization continues, meaning that a model of “doing everything” or “vertical integration” is increasingly difficult. Backward integration may be particularly dan- gerous for firms in industries undergoing technological change if management cannot keep abreast of those changes or invest the financial resources necessary for the next wave of technol- ogy. The alternative, particularly in high-tech industries, is to establish close-relationship suppli- ers. This allows partners to focus on their specific contribution. Research and development costs are too high and technology changes too rapid for one company to sustain leadership in every component. Most organizations are better served concentrating on their specialty and leveraging

Vertical integration Developing the ability to produce goods or services previously purchased or actually buying a supplier or a distributor.

Raw material (suppliers) Iron ore Silicon

Vertical Integration Examples of Vertical Integration

Farming

Flour milling

Baked goods

Integrated circuits

Circuit boards

Computers Watches

Calculators

Steel

Automobiles

Distribution system

Dealers

Backward integration

Current transformation

Forward integration

Finished goods (customers)

� FIGURE 11.2 Vertical Integration Can Be Forward or Backward

Chapter 11 Supply-Chain Management 343

the partners’ contributions. Exceptions do exist. Where capital, management talent, and technol- ogy are available and the components are also highly integrated, vertical integration may make sense. On the other hand, it made no sense for Jaguar to make commodity components for its autos as it did until recently.

Joint Ventures Because vertical integration is so dangerous, firms may opt for some form of formal collabora- tion. As we noted in Chapter 5, firms may engage in collaboration to enhance their new product prowess or technological skills. But firms also engage in collaboration to secure supply or reduce costs. One version of a joint venture is the current Daimler–BMW effort to develop and produce standard automobile components. Given the global consolidation of the auto industry, these two rivals in the luxury segment of the automobile market are at a disadvantage in volume. Their rel- atively low volume means fewer units over which to spread fixed costs, hence the interest in con- solidating to cut development and production costs. As in all other such collaborations, the trick is to cooperate without diluting the brand or conceding a competitive advantage.

Keiretsu Networks Many large Japanese manufacturers have found another strategy; it is part collaboration, part purchasing from few suppliers, and part vertical integration. These manufacturers are often financial supporters of suppliers through ownership or loans. The supplier becomes part of a company coalition known as a keiretsu. Members of the keiretsu are assured long-term relation- ships and are therefore expected to collaborate as partners, providing technical expertise and sta- ble quality production to the manufacturer. Members of the keiretsu can also have suppliers farther down the chain, making second- and even third-tier suppliers part of the coalition.

Virtual Companies The limitations to vertical integration are severe. Our technological society continually demands more specialization, which complicates vertical integration. Moreover, a firm that has a depart- ment or division of its own for everything may be too bureaucratic to be world class. So rather than letting vertical integration lock an organization into businesses that it may not understand or be able to manage, another approach is to find good flexible suppliers. Virtual companies rely on a variety of supplier relationships to provide services on demand. Virtual companies have fluid, moving organizational boundaries that allow them to create a unique enterprise to meet changing market demands. Suppliers may provide a variety of services that include doing the payroll, hiring personnel, designing products, providing consulting services, manufacturing components, conducting tests, or distributing products. The relationships may be short or long term and may include true partners, collaborators, or simply able suppliers and subcontractors. Whatever the formal relationship, the result can be exceptionally lean performance. The advan- tages of virtual companies include specialized management expertise, low capital investment, flexibility, and speed. The result is efficiency.

The apparel business provides a traditional example of virtual organizations. The designers of clothes seldom manufacture their designs; rather, they license the manufacture. The manufac- turer may then rent space, lease sewing machines, and contract for labor. The result is an organi- zation that has low overhead, remains flexible, and can respond rapidly to the market.

A contemporary example is exemplified by Vizio, Inc., a California-based producer of LCD TVs that has only 85 employees but huge sales. Vizio uses modules to assemble its own brand of TVs. Because the key components of TVs are now readily available and sold almost as com- modities, innovative firms such as Vizio can specify the components, hire a contract manufac- turer, and market the TVs with very little startup cost. In a virtual company, the supply chain is the company. Managing it is dynamic and demanding.

MANAGING THE SUPPLY CHAIN As managers move toward integration of the supply chain, substantial efficiencies are possible. The cycle of materials—as they flow from suppliers, to production, to warehousing, to distribu- tion, to the customer—takes place among separate and often very independent organizations. Therefore, there are significant management issues that may result in serious inefficiencies.

Keiretsu A Japanese term that describes suppliers who become part of a company coalition.

Virtual companies Companies that rely on a variety of supplier relationships to provide services on demand. Also known as hollow corporations or network companies.

AUTHOR COMMENT Trust, agreed-upon goals, and compatible cultures

make supply-chain management easier.

344 PART 3 Managing Operations

Success begins with mutual agreement on goals, followed by mutual trust, and continues with compatible organizational cultures.

Mutual Agreement on Goals An integrated supply chain requires more than just agree- ment on the contractual terms of a buy/sell relationship. Partners in the chain must appreciate that the only entity that puts money into a supply chain is the end customer. Therefore, establish- ing a mutual understanding of the mission, strategy, and goals of participating organizations is essential. The integrated supply chain is about adding economic value and maximizing the total content of the product.

Trust Trust is critical to an effective and efficient supply chain. Members of the chain must enter into a relationship that shares information. Visibility throughout the supply chain—what Darden Restaurants calls a transparent supply chain—is a requirement. Supplier relationships are more likely to be successful if risk and cost savings are shared—and activities such as end- customer research, sales analysis, forecasting, and production planning are joint activities. Such relationships are built on mutual trust.

Compatible Organizational Cultures A positive relationship between the purchasing and supplying organizations that comes with compatible organizational cultures can be a real advan- tage when making a supply chain hum. A champion within one of the two firms promotes both formal and informal contacts, and those contacts contribute to the alignment of the organiza- tional cultures, further strengthening the relationship.

The operations manager is dealing with a supply chain that is made up of independent special- ists, each trying to satisfy its own customers at a profit. This leads to actions that may not opti- mize the entire chain. On the other hand, the supply chain is replete with opportunities to reduce waste and enhance value. We now look at some of the significant issues and opportunities.

Issues in an Integrated Supply Chain Three issues complicate development of an efficient, integrated supply chain: local optimization, incentives, and large lots.

Local Optimization Members of the chain are inclined to focus on maximizing local profit or minimizing immediate cost based on their limited knowledge. Slight upturns in demand are overcompensated for because no one wants to be caught short. Similarly, slight downturns are over- compensated for because no one wants to be caught holding excess inventory. So fluctuations are magnified. For instance, a pasta distributor does not want to run out of pasta for its retail cus- tomers; the natural response to an extra large order from the retailer is to compensate with an even larger order to the manufacturer on the assumption that retail sales are picking up. Neither the distributor nor the manufacturer knows that the retailer had a major one-time promotion that moved a lot of pasta. This is exactly the issue that complicated the implementation of efficient distribution at the Italian pasta maker Barilla.

Incentives (Sales Incentives, Quantity Discounts, Quotas, and Promotions)

Incentives push merchandise into the chain for sales that have not occurred. This generates fluc- tuations that are ultimately expensive to all members of the chain.

Large Lots There is often a bias toward large lots because large lots tend to reduce unit costs. A logistics manager wants to ship large lots, preferably in full trucks, and a production manager wants long production runs. Both actions drive down unit shipping and production costs, but fail to reflect actual sales and increased holding costs.

These three common occurrences—local optimization, incentives, and large lots—contribute to distortions of information about what is really occurring in the supply chain. A well-running supply system needs to be based on accurate information about how many products are truly being pulled through the chain. The inaccurate information is unintentional, but it results in dis- tortions and fluctuations in the supply chain and causes what is known as the bullwhip effect.

The bullwhip effect occurs as orders are relayed from retailers, to distributors, to whole- salers, to manufacturers, with fluctuations increasing at each step in the sequence. The “bull- whip” fluctuations in the supply chain increase the costs associated with inventory, transportation, shipping, and receiving, while decreasing customer service and profitability. Procter & Gamble found that although the use of Pampers diapers was steady and the retail-store orders had little fluctuation, as orders moved through the supply chain, fluctuations increased. By the time orders

VIDEO 11.3 Arnold Palmer Hospital’s Supply

Chain

LO3: Explain issues and opportunities in the supply chain

Bullwhip effect The increasing fluctuation in orders that often occurs as orders move through the supply chain.

Chapter 11 Supply-Chain Management 345

were initiated for raw material, the variability was substantial. Similar behavior has been observed and documented at many companies, including Campbell Soup, Hewlett-Packard, and Applied Materials.

The bullwhip effect can occur when orders decrease as well as when they increase. A number of opportunities exist for reducing the bullwhip effect and improving opportunities in the supply chain. These are discussed in the following section.

Opportunities in an Integrated Supply Chain Opportunities for effective management in the supply chain include the following 11 items.

Accurate “Pull” Data Accurate pull data are generated by sharing (1) point-of-sales (POS) information so that each member of the chain can schedule effectively and (2) computer-assisted ordering (CAO). This implies using POS systems that collect sales data and then adjusting that data for market factors, inventory on hand, and outstanding orders. Then a net order is sent directly to the supplier who is responsible for maintaining the finished-goods inventory.

Lot Size Reduction Lot sizes are reduced through aggressive management. This may include (1) developing economical shipments of less than truckload lots; (2) providing discounts based on total annual volume rather than size of individual shipments; and (3) reducing the cost of ordering through techniques such as standing orders and various forms of electronic purchasing.

Single-Stage Control of Replenishment Single-stage control of replenishment means designating a member in the chain as responsible for monitoring and managing inventory in the supply chain based on the “pull” from the end user. This approach removes distorted information and multiple forecasts that create the bullwhip effect. Control may be in the hands of:

• A sophisticated retailer who understands demand patterns. Walmart does this for some of its inventory with radio frequency ID (RFID) tags as shown in the OM in Action box “Radio Fre- quency Tags: Keeping the Shelves Stocked.”

Pull data Accurate sales data that initiate transactions to “pull” product through the supply chain.

Single-stage control of replenishment Fixing responsibility for monitoring and managing inventory for the retailer.

Supply chains work smoothly when sales are steady, but often break down when confronted by a sudden surge or rapid drop in demand. Radio frequency ID (or RFID) tags

can change that by providing real-time information about what’s happening on store shelves. Here’s how the system works for Procter & Gamble’s (P&G’s) Pampers.

OM in Action �Radio Frequency Tags: Keeping the Shelves Stocked

W al

m ar

t in ven

tory management system

Pr oc

te r &

Gam ble supply-chain software

P&G suppliers

P&G regional supply manager

Walmart distribution center

Walmart SHELF ALERT! NEED

PAMPERS!

STORE ALERT! NEED

PAMPERS! WAREHOUSE

ALERT! NEED

PAMPERS!

RESUPPLY

RESUPPLY

RESUPPLY

!

!

!

!

1. A special promotion causes Walmart shoppers to snap up boxes of Pampers Baby-Dry.

5. P&G’s logistics software tracks its trucks with GPS locators, and tracks their contents with RFID tag readers. Regional managers can reroute trucks to fill urgent needs.

6. P&G suppliers also use RFID tags and readers on their raw materials, giving P&G visibility several tiers down the supply chain, and giving suppliers the ability to accurately forecast demand and production.

2. Each box of Pampers has an RFID tag. Shelf-mounted scanners alert the stockroom of urgent need for restock.

3. Walmart’s inventory management system tracks and links its in-store stock and its warehouse stock, prompting quicker replenish- ment and providing accurate real-time data.

4. Walmart’s systems are linked to the P&G supply- chain management system. Demand spikes reported by RFID tags are immediately visible throughout the supply chain.

WAL*MART

RE-ROUTE # 237

237

Sources: Financial Times (August 22, 2008): 12; Business 2.0 (May 2002): 86; and Knight Ridder Tribune Business News (August 6, 2006): 1.

346 PART 3 Managing Operations

• A distributor who manages the inventory for a particular distribution area. Distributors who handle grocery items, beer, and soft drinks may do this. Anheuser-Busch manages beer inven- tory and delivery for many of its customers.

• A manufacturer who has a well-managed forecasting, manufacturing, and distribution sys- tem. TAL Apparel Ltd., discussed in the OM in Action box, “The JCPenney Supply Chain for Dress Shirts,” does this for JCPenney.

Vendor-Managed Inventory Vendor-managed inventory (VMI) means the use of a local supplier (usually a distributor) to maintain inventory for the manufacturer or retailer. The sup- plier delivers directly to the purchaser’s using department rather than to a receiving dock or stockroom. If the supplier can maintain the stock of inventory for a variety of customers who use the same product or whose differences are very minor (say, at the packaging stage), then there should be a net savings. These systems work without the immediate direction of the purchaser.

Collaborative Planning, Forecasting, and Replenishment Like single-stage control and vendor-managed inventory, Collaborative planning, forecasting, and replenishment (CPFR) is another effort to manage inventory in the supply chain. With CPFR, members of the supply chain share planning, forecasting, and inventory information. Partners in a CPFR effort begin with collaboration on product definition and a joint marketing plan. Promotion, advertising, forecasts, and timing of shipments are all included in the plan in a concerted effort to drive down inventory and related costs.

Blanket Orders Blanket orders are unfilled orders with a vendor.2 A blanket order is a contract to purchase certain items from a vendor. It is not an authorization to ship anything. Shipment is made only on receipt of an agreed-on document, perhaps a shipping requisition or shipment release.

Standardization The purchasing department should make special efforts to increase levels of standardization. That is, rather than obtaining a variety of similar components with labeling, coloring, packaging, or perhaps even slightly different engineering specifications, the purchasing agent should try to have those components standardized.

Postponement Postponement withholds any modification or customization to the product (keeping it generic) as long as possible. The concept is to minimize internal variety while maximizing external variety. For instance, after analyzing the supply chain for its printers, Hewlett-Packard (HP) determined that if the printer’s power supply was moved out of the printer itself and into a power cord, HP could ship the basic printer anywhere in the world. HP modified the printer, its power cord, its packaging, and its documentation so that only the power cord and documentation needed to be added at the final distribution point. This modification allowed the

Postponement Delaying any modifications or customization to a product as long as possible in the production process.

Purchase a white Stafford wrinkle-free dress shirt, size 17 neck, 34/35 sleeve at JCPenney at Atlanta’s Northlake Mall on a Tuesday, and the supply chain responds. Within a day, TAL Apparel Ltd. in Hong Kong downloads a record of the sale. After a run through its forecasting model, TAL decides how many shirts to make and in what styles, colors, and sizes. By Wednesday afternoon, the replacement shirt is packed to be shipped directly to the JCPenney Northlake Mall store. The system bypasses the JCPenney warehouse—indeed all warehouses—as well as the JCPenney corporate decision makers.

In a second instance, two shirts are sold, leaving none in stock. TAL, after downloading the data, runs its forecasting model but comes to the decision that this store needs to have two in stock. Without consulting JCPenney, a TAL factory in Taiwan makes two new shirts. It sends one by ship, but because of the outage, the other goes by air.

As retailers deal with mass customization, fads, and seasonal swings they also strive to cut costs—making a responsive supply chain critical. Before globalization of the supply chain, JCPenney would have had thousands of shirts warehoused across the country. Now JCPenney stores, like those of many retailers, hold a very limited inventory of shirts.

JCPenney’s supplier, TAL, is providing both sales forecasting and inventory management, a situation not acceptable to many retailers. But what is most startling is that TAL also places its own orders! A supply chain like this works only when there is trust between partners. The rapid changes in supply-chain management not only place increasing technical demands on suppliers but also increase demands for trust between the parties.

Sources: Apparel (April 2006): 14–18; The Wall Street Journal (September 11, 2003): A1, A9; and International Trade Forum (Issue 3, 2005): 12–13.

OM in Action � The JCPenney Supply Chain for Dress Shirts

Vendor-managed inventory (VMI) A system in which a supplier maintains material for the buyer, often delivering directly to the buyer’s using department.

Collaborative planning, forecasting, and replen- ishment (CPFR) A joint effort of members of a supply chain to share information in order to reduce supply-chain costs.

Blanket order A long-term purchase commitment to a supplier for items that are to be delivered against short-term releases to ship.

2Unfilled orders are also referred to as “open” orders, or “incomplete” orders.

Chapter 11 Supply-Chain Management 347

firm to manufacture and hold centralized inventories of the generic printer for shipment as demand changed. Only the unique power system and documentation had to be held in each coun- try. This understanding of the entire supply chain reduced both risk and investment in inventory.

Drop Shipping and Special Packaging Drop shipping means the supplier will ship directly to the end consumer, rather than to the seller, saving both time and reshipping costs. Other cost-saving measures include the use of special packaging, labels, and optimal placement of labels and bar codes on containers. The final location down to the department and number of units in each shipping container can also be indicated. Substantial savings can be obtained through management techniques such as these. Some of these techniques can be of particular benefit to wholesalers and retailers by reducing shrinkage (lost, damaged, or stolen merchandise) and handling cost.

For instance, Dell Computer has decided that its core competence is not in stocking peripher- als, but in assembling PCs. So if you order a PC from Dell, with a printer and perhaps other com- ponents, the computer comes from Dell, but the printer and many of the other components will be drop shipped from the manufacturer.

Pass-through Facility A pass-through facility is a distribution center where merchandise is held, but it functions less as a holding area and more as a shipping hub. These facilities, often run by logistics vendors, use the latest technology and automated systems to expedite orders. For instance, UPS works with Nike at such a facility in Louisville, Kentucky, to immediately handle orders. Similarly, FedEx’s warehouse next to the airport in Memphis can receive an order after a store closes for the evening and can locate, package, and ship the merchandise that night. Delivery is guaranteed by 10 A.M. the next day.

Channel Assembly Channel assembly is an extension of the pass-through facility. Channel assembly sends individual components and modules, rather than finished products, to the distributor. The distributor then assembles, tests, and ships. Channel assembly treats distributors more as manufacturing partners than as distributors. This technique has proven suc- cessful in industries where products are undergoing rapid change, such as personal computers. With this strategy, finished-goods inventory is reduced because units are built to a shorter, more accurate forecast. Consequently, market response is better, with lower investment—a nice combination.

E-PROCUREMENT E-procurement uses the Internet to facilitate purchasing. E-procurement speeds purchasing, reduces costs, and integrates the supply chain, enhancing an organization’s competitive advan- tage. The traditional supply chain is full of paper transactions, such as requisitions, requests for bids, bid evaluations, purchase orders, order releases, receiving documents, invoices, and the issuance of checks. E-procurement reduces this barrage of paperwork and at the same time pro- vides purchasing personnel with an extensive database of vendor, delivery, and quality data. With this history, vendor selection has improved.

In this section, we discuss traditional techniques of electronic ordering and funds transfer and then move on to online catalogs, auctions, RFQs, and real-time inventory tracking.

Electronic Ordering and Funds Transfer Electronic ordering and bank transfers are traditional approaches to speeding transactions and reducing paperwork. Transactions between firms often use electronic data interchange (EDI), which is a standardized data-transmittal format for computerized communications between organizations. EDI provides data transfer for virtually any business application, including purchasing. Under EDI, data for a purchase order, such as order date, due date, quantity, part number, purchase order number, address, and so forth, are fitted into the standard EDI format. EDI also provides for the use of advanced shipping notice (ASN), which notifies the purchaser that the vendor is ready to ship. Although some firms are still moving to EDI and ASN, the Internet’s ease of use and lower cost is proving more popular.

Online Catalogs Purchase of standard items is often accomplished via online catalogs. Such catalogs provide cur- rent information about products in electronic form. Online catalogs support cost comparisons

Drop shipping Shipping directly from the supplier to the end consumer rather than from the seller, saving both time and reshipping costs.

Pass-through facility Expedites shipment by holding merchandise and delivering from shipping hubs.

Channel assembly Postpones final assembly of a product so the distribution channel can assemble it.

E-procurement Purchasing facilitated through the Internet.

Electronic data interchange (EDI) A standardized data-transmittal format for computerized communications between organizations.

Advanced shipping notice (ASN) A shipping notice delivered directly from vendor to purchaser.

AUTHOR COMMENT The Internet has revolutionized

procurement.

348 PART 3 Managing Operations

and incorporate voice and video clips, making the process efficient for both buyers and sellers. Online catalogs are available in three versions:

1. Typical of catalogs provided by vendors are those of W. W. Grainger and Office Depot. W. W. Grainger is probably the world’s largest seller of MRO items (items for maintenance, repair, and operations), while Office Depot provides the same service for office supplies.

2. Catalogs provided by intermediaries are Internet sites where business buyers and sellers can meet. These intermediaries typically create industry specific catalogs with content from many suppliers.

3. One of the first online exchanges provided by buyers was Avendra (www.avendra.com). Avendra was created by Marriott and Hyatt (and subsequently joined by other large hotel firms) to economically purchase the huge range of goods needed by the 2,800 hotels now in the exchange.

Such exchanges—and there are many—move companies from a multitude of individual phone calls, faxes, and e-mails to a centralized online system, and drive billions of dollars of waste out of the supply chain.

Auctions Online auction sites can be maintained by sellers, buyers, or intermediaries. Operations man- agers find online auctions a fertile area for disposing of excess raw material and discontinued or excess inventory. Online auctions lower entry barriers, encouraging sellers to join and simultane- ously increase the potential number of buyers.

The key for auction firms, such as Ariba of Sunnyvale, California (see the photo), is to find and build a huge base of potential bidders, improve client buying procedures, and qualify new suppliers.

RFQs When purchasing requirements are nonstandard, time spent preparing requests for quotes (RFQs) and the related bid package can be substantial. Consequently, e-procurement has now moved these often expensive parts of the purchasing process online, allowing purchasing agents to inexpensively attach electronic copies of the necessary drawings to RFQs.

Real-Time Inventory Tracking FedEx’s pioneering efforts at tracking packages from pickup to delivery has shown the way for operations managers to do the same for their shipments and inventory. Because tracking cars and trucks has been a chronic and embarrassingly inexact science, Ford has hired UPS to track millions of vehicles as they move from factory to dealers. Using bar codes and the Internet, Ford dealers are now able to log onto a Web site and find out exactly where the ordered vehicles are in the dis- tribution system. As operations managers move to an era of mass customization, with customers ordering exactly the cars they want, customers will expect to know where their cars are and

Here an Ariba team monitors an online market from the firm’s Global Market Operations Center. Ariba provides support for the entire global sourcing process, including software, supplier development, competitive negotiations, and savings implementation. Online bidding leads to greater cost savings than more traditional procurement.

Chapter 11 Supply-Chain Management 349

exactly when they can be picked up. E-procurement, supported by bar codes and RFID, can pro- vide economical inventory tracking on the shop floor, in warehouses, and in logistics.

VENDOR SELECTION For those goods and services a firm buys, vendors must be selected. Vendor selection considers numerous factors, such as strategic fit, vendor competence, delivery, and quality performance. Because a firm may have some competence in all areas and may have exceptional competence in only a few, selection can be challenging. Procurement policies also need to be established. Those might address issues such as percent of business done with any one supplier or with minority businesses. We now examine vendor selection as a three-stage process: (1) vendor evaluation, (2) vendor development, and (3) negotiations.

Vendor Evaluation The first stage of vendor selection, vendor evaluation, involves finding potential vendors and determining the likelihood of their becoming good suppliers. This phase requires the develop- ment of evaluation criteria such as criteria shown in Example 2. However, both the criteria and the weights selected vary depending on the supply-chain strategy being implemented. (Refer to Table 11.1, on page 337.)

� EXAMPLE 2 Weighted approach to vendor evaluation

Erin Davis, president of Creative Toys in Palo Alto, is interested in evaluating suppliers who will work with him to make nontoxic, environmentally friendly paints and dyes for his line of children’s toys. This is a critical strategic element of his supply chain, and he desires a firm that will contribute to his product.

APPROACH � Erin begins his analysis of one potential supplier, Faber Paint and Dye, by using the weighted approach to vendor evaluation.

SOLUTION � Erin first reviews the supplier differentiation attributes in Table 11.1 and develops the following list of selection criteria. He then assigns the weights shown to help him perform an objec- tive review of potential vendors. His staff assigns the scores shown and computes the total weighted score.

Scores (1–5) Weight � Criteria Weights (5 highest) Score

Engineering/research/innovation skills .20 5 1.0 Production process capability (flexibility/technical assistance) .15 4 .6 Distribution/delivery capability .05 4 .2 Quality systems and performance .10 2 .2 Facilities/location .05 2 .1 Financial and managerial strength (stability and cost structure) .15 4 .6 Information systems capability (e-procurement, ERP) .10 2 .2 Integrity (environmental compliance/ethics) .20 5 1.0

1.00 3.9 Total

Faber Paint and Dye receives an overall score of 3.9.

INSIGHT � Erin now has a basis for comparison with other potential vendors, selecting the one with the highest overall rating.

LEARNING EXERCISE � If Erin believes that the weight for “engineering/research/innovation skills” should be increased to .25 and the weight for “financial and managerial strength” reduced to .10, what is the new score? [Answer: Faber Paint and Dye now goes to 3.95.]

RELATED PROBLEMS � 11.2, 11.3, 11.4

LO4: Describe the steps in vendor selection

The selection of competent suppliers is critical. If good suppliers are not selected, then all other supply-chain efforts are wasted. As firms move toward using fewer longer-term suppliers, the issues of financial strength, quality, management, research, technical ability, and potential for a close long-term relationship play an increasingly important role. These attributes should be noted in the evaluation process.

EXCEL OM Data File Ch11Ex2.xls can be found at www.pearsonhighered.com/heizer.

350 PART 3 Managing Operations

Vendor Development The second stage of vendor selection is vendor development. Assuming that a firm wants to pro- ceed with a particular vendor, how does it integrate this supplier into its system? The buyer makes sure the vendor has an appreciation of quality requirements, product specifications, schedules and delivery, the purchaser’s payment system, and procurement policies. Vendor development may include everything from training, to engineering and production help, to proce- dures for information transfer.

Negotiations Regardless of the supply chain strategy adopted, negotiations regarding the critical elements of the contractual relationship must take place. These negotiations often focus on quality, delivery, payment, and cost. We will look at three classic types of negotiation strategies: the cost-based model, the market-based price model, and competitive bidding.

Cost-Based Price Model The cost-based price model requires that the supplier open its books to the purchaser. The contract price is then based on time and materials or on a fixed cost with an escalation clause to accommodate changes in the vendor’s labor and materials cost.

Market-Based Price Model In the market-based price model, price is based on a pub- lished, auction, or index price. Many commodities (agriculture products, paper, metal, etc.) are priced this way. Paperboard prices, for instance, are available via the Official Board Markets weekly publication (www.advanstar.com). Nonferrous metal prices are quoted in Platt’s Metals Week (www.platts.com/plattsmetals/), and prices of other metals are quoted at www. metalworld.com.

Competitive Bidding When suppliers are not willing to discuss costs or where near-perfect markets do not exist, competitive bidding is often appropriate. Infrequent work (such as con- struction, tooling, and dies) is usually purchased based on a bid. Bidding may take place via mail, fax, or an Internet auction. Competitive bidding is the typical policy in many firms for the majority of their purchases. Bidding policies usually require that the purchasing agent have sev- eral potential suppliers of the product (or its equivalent) and quotations from each. The major disadvantage of this method, as mentioned earlier, is that the development of long-term relations between buyer and seller is hindered. Competitive bidding may effectively determine initial cost. However, it may also make difficult the communication and performance that are vital for engi- neering changes, quality, and delivery.

Yet a fourth approach is to combine one or more of the preceding negotiation techniques. The supplier and purchaser may agree on review of certain cost data, accept some form of market data for raw material costs, or agree that the supplier will “remain competitive.” In any case, a good supplier relationship is one in which both partners have established a degree of mutual trust and a belief in each other’s competence, honesty, and fair dealing.

LOGISTICS MANAGEMENT Procurement activities may be combined with various shipping, warehousing, and inventory activities to form a logistics system. The purpose of logistics management is to obtain effi- ciency of operations through the integration of all material acquisition, movement, and storage activities. When transportation and inventory costs are substantial on both the input and output sides of the production process, an emphasis on logistics may be appropriate. When logistics issues are significant or expensive, many firms opt for outsourcing the logistics function. Logistics specialists can often bring expertise not available in-house. For instance, logistics com- panies often have tracking technology that reduces transportation losses and supports delivery schedules that adhere to precise delivery windows. The potential for competitive advantage is found via both reduced costs and improved customer service.

Firms recognize that the distribution of goods to and from their facilities can represent as much as 25% of the cost of products. In addition, the total distribution cost in the U.S. is over 10% of the gross national product (GNP). Because of this high cost, firms constantly evaluate their means of distribution. Five major means of distribution are trucking, railroads, airfreight, waterways, and pipelines.

Negotiation strategies Approaches taken by supply chain personnel to develop contractual relationships with suppliers.

AUTHOR COMMENT Time, cost, and reliability variables make logistic decisions demanding.

Logistics management An approach that seeks efficiency of operations through the integration of all material acquisition, movement, and storage activities.

Chapter 11 Supply-Chain Management 351

Distribution Systems Trucking The vast majority of manufactured goods moves by truck. The flexibility of shipping by truck is only one of its many advantages. Companies that have adopted JIT programs in recent years have put increased pressure on truckers to pick up and deliver on time, with no damage, with paperwork in order, and at low cost. Trucking firms are using computers to monitor weather, find the most effective route, reduce fuel cost, and analyze the most efficient way to unload. In spite of these advances, the motor carrier industry averages a capacity utilization of only 50%. That under- utilized space costs the U.S. economy over $31 billion per year. To improve logistics efficiency, the industry is establishing Web sites such as Schneider National’s connection (www.schneider.com), which lets shippers and truckers find each other to use some of this idle capacity. Shippers may pick from thousands of approved North American carriers that have registered with Schneider logistics.

Railroads Railroads in the U.S. employ 187,000 people and ship 90% of all coal, 67% of autos, 68% of paper products, and about half of all food, lumber, and chemicals. Containerization has made intermodal shipping of truck trailers on railroad flat cars, often piggybacked as double-deckers, a popular means of distribution. More than 36 million trailer loads are moved in the U.S. each year by rail. With the growth of JIT, however, rail transport has been the biggest loser because small-batch manufacture requires frequent, smaller shipments that are likely to move via truck or air.

Airfreight Airfreight represents only about 1% of tonnage shipped in the U.S. However, the recent proliferation of airfreight carriers such as FedEx, UPS, and DHL makes it the fastest- growing mode of shipping. Clearly, for national and international movement of lightweight items, such as medical and emergency supplies, flowers, fruits, and electronic components, air- freight offers speed and reliability.

Waterways Waterways are one of the nation’s oldest means of freight transportation, dating back to construction of the Erie Canal in 1817. Included in U.S. waterways are the nation’s rivers, canals, the Great Lakes, coastlines, and oceans connecting to other countries. The usual cargo on waterways is bulky, low-value cargo such as iron ore, grains, cement, coal, chemicals, limestone, and petroleum products. Internationally, millions of containers are shipped at very low cost via huge oceangoing ships each year. Water transportation is important when shipping cost is more important than speed.

Pipelines Pipelines are an important form of transporting crude oil, natural gas, and other petroleum and chemical products. An amazing 90% of the state of Alaska’s budget is derived from the 1.5 million barrels of oil pumped daily through the pipeline at Prudhoe Bay.

Third-Party Logistics Supply-chain managers may find that outsourcing logistics is advantageous in driving down inventory investment and costs while improving delivery reliability and speed. Specialized logis- tics firms support this goal by coordinating the supplier’s inventory system with the service

LO5: Explain major issues in logistics management

As this photo of the port of Charleston suggests, with 16 million containers entering the U.S. annually, tracking location, content, and condition of trucks and containers is a challenge. But new technology may improve both security and JIT shipments.

352 PART 3 Managing Operations

capabilities of the delivery firm. FedEx, for example, has a successful history of using the Internet for online tracking. At FedEx.com, a customer can compute shipping costs, print labels, adjust invoices, and track package status all on the same Web site. FedEx, UPS, and DHL play a core role in other firms’ logistics processes. In some cases, they even run the server for retailer Web sites. In other cases, such as for Dell Computer, FedEx operates warehouses that pick, pack, test, and assemble products, then it handles delivery and customs clearance when necessary. The OM in Action box “DHL’s Role in the Supply Chain” provides another example of how outsourc- ing logistics can reduce costs while shrinking inventory and delivery times.

Cost of Shipping Alternatives The longer a product is in transit, the longer the firm has its money invested. But faster shipping is usually more expensive than slow shipping. A simple way to obtain some insight into this trade-off is to evaluate holding cost against shipping options. We do this in Example 3.

Seven farms within a 2-hour drive of Kenya’s Nairobi Airport supply 300 tons of fresh beans, bok choy, okra, and other produce that is packaged at the airport and shipped overnight to Europe. The time between harvest and arrival in Europe is 2 days. When a good supply chain and good logistics work together, the results can be startling—and fresh food.

It’s the dead of night at DHL International’s air express hub in Brussels, yet the massive building is alive with busy forklifts and sorting workers. The boxes going on and off the DHL plane range from Dell computers and Cisco routers to Caterpillar mufflers and Komatsu hydraulic pumps. Sun Microsystems computers from California are earmarked for Finland; DVDs from Teac’s plant in Malaysia are destined for Bulgaria.

The door-to-door movement of time-sensitive packages is key to the global supply chain. JIT, short product life cycles, mass customization, and reduced inventories depend on logistics firms such as DHL, FedEx, and UPS. These powerhouses are in continuous motion.

With a decentralized network covering 225 countries and territories (more than are in the UN), DHL is a true multinational. The Brussels headquarters has only 450

of the company’s 124,000 employees but includes 26 nationalities.

DHL has assembled an extensive global network of express logistics centers for strategic goods. In its Brussels logistics center, for instance, DHL upgrades, repairs, and configures Fijitsu computers, InFocus projectors, and Johnson & Johnson medical equipment. It stores and provides parts for EMC and Hewlett-Packard and replaces Nokia and Philips phones. “If something breaks down on a Thursday at 4 o’clock, the relevant warehouse knows at 4:05, and the part is on a DHL plane at 7 or 8 that evening,” says Robert Kuijpers, DHL International’s CEO.

Sources: Journal of Commerce (August 15, 2005): 1; Hoover’s Company Records (May 1, 2009): 40126; and Forbes (October 18, 1999): 120–124.

OM in Action � DHL’s Role in the Supply Chain

Chapter 11 Supply-Chain Management 353

� EXAMPLE 3 Determining daily cost of holding

A shipment of new connectors for semiconductors needs to go from San Jose to Singapore for assem- bly. The value of the connectors is $1,750 and holding cost is 40% per year. One airfreight carrier can ship the connectors 1 day faster than its competitor, at an extra cost of $20.00. Which carrier should be selected?

APPROACH � First we determine the daily holding cost and then compare the daily holding cost with the cost of faster shipment.

SOLUTION �

Since the cost of saving one day is $20.00, which is much more than the daily holding cost of $1.92, we decide on the less costly of the carriers and take the extra day to make the shipment. This saves $18.08 ($20.00 – $1.92).

INSIGHT � The solution becomes radically different if the 1-day delay in getting the connectors to Singapore delays delivery (making a customer angry) or delays payment of a $150,000 final product. (Even 1 day’s interest on $150,000 or an angry customer makes a savings of $18.08 insignificant.)

LEARNING EXERCISE � If the holding cost is 100% per year, what is the decision? [Answer: Even with a holding cost of $4.79 per day, the less costly carrier is selected.]

RELATED PROBLEMS � 11.8, 11.9, 11.10

= $1.92

= 1.40 * $1,7502>365

Daily cost of holding the product = 1Annual holding cost * Product value2>365

Example 3 looks only at holding costs versus shipping cost. For the operations or logistics manager there are many other considerations, including coordinating shipments to maintain a schedule, getting a new product to market, and keeping a customer happy. Estimates of these other costs can be added to the estimate of daily holding cost. Determining the impact and cost of these many other considerations makes the evaluation of shipping alternatives interesting.

Security and JIT There is probably no society more open than the U.S. This includes its borders and ports—but they are swamped. About 7 million containers enter U.S. ports each year, along with thousands of planes, cars, and trucks each day. Even under the best of conditions, some 5% of the container movements are misrouted, stolen, damaged, or excessively delayed.

Since the September 11, 2001, terrorist attacks, supply chains have become more complex. Technological innovations, though, in the supply chain are improving security and JIT, making logistics more reliable. Technology is now capable of knowing truck and container location, con- tent, and condition. New devices can detect whether someone has broken into a sealed container

Speed and accuracy in the supply chain are supported by bar-code tracking of shipments. At each step of a journey, from initial pickup to final destination, bar codes (left) are read and stored. Within seconds, this tracking information is available online to customers worldwide (right).

354 PART 3 Managing Operations

and can communicate that information to the shipper or receiver via satellite or radio. Motion detectors can also be installed inside containers. Other sensors can record interior data including temperature, shock, radioactivity, and whether a container is moving. Tracking lost containers, identifying delays, or just reminding individuals in the supply chain that a shipment is on its way will help expedite shipments. Improvements in security may aid JIT, and improvements in JIT may aid security—both of which can improve supply-chain logistics.

MEASURING SUPPLY-CHAIN PERFORMANCE Like all other managers, supply-chain managers require standards (or metrics, as they are often called) to evaluate performance. Evaluation of the supply chain is particularly critical for these managers because they spend most of the organization’s money. In addition, they make schedul- ing and quantity decisions that determine the assets committed to inventory. Only with effective metrics can managers determine: (1) how well the supply chain is performing and (2) the assets committed to inventory. We will now discuss these two metrics.

Supply-Chain Performance The benchmark metrics shown in Table 11.5 focus on procure- ment and vendor performance issues. World-class benchmarks are the result of well-managed sup- ply chains that drive down costs, lead times, late deliveries, and shortages while improving quality.

Assets Committed to Inventory Three specific measures can be helpful here. The first is the amount of money invested in inventory, usually expressed as a percentage of assets, as shown in Equation (11-1) and Example 4:

(11-1)Percentage invested in inventory = 1Total inventory investment>Total assets2 * 100

LO6: Compute the percentage of assets committed to inventory and inventory turnover

AUTHOR COMMENT If you can’t measure it,

you can’t control it.

�TABLE 11.5 Metrics for Supply-Chain Performance

Typical Firms Benchmark Firms

Lead time (weeks) 15 8 Time spent placing an order 42 minutes 15 minutes Percent of late deliveries 33% 2% Percent of rejected material 1.5% .0001% Number of shortages per year 400 4

Source: Adapted from a McKinsey & Company report.

EXAMPLE 4 � Tracking Home Depot’s inventory investment

Home Depot’s management wishes to track its investment in inventory as one of its performance mea- sures. Home Depot had $11.4 billion invested in inventory and total assets of $44.4 billion in 2006.

APPROACH � Determine the investment in inventory and total assets and then use Equation (11-1).

SOLUTION �

INSIGHT � Over one-fourth of Home Depot assets are committed to inventory.

LEARNING EXERCISE � If Home Depot can drive its investment down to 20% of assets, how much money will it free up for other uses? [Answer: ]

RELATED PROBLEMS � 11.11b, 11.12b

11.4 - 144.4 * .22 = $2.52 billion.

Percent invested in inventory = 111.4>44.42 * 100 = 25.7%

Inventory turnover Cost of goods sold divided by average inventory.

Specific comparisons with competitors may assist evaluation. Total assets committed to inven- tory in manufacturing approach 15%, in wholesale 34%, and retail 27%—with wide variations, depending on the specific business model, the business cycle, and management (see Table 11.6).

The second common measure of supply chain performance is inventory turnover (see Table 11.7). Its reciprocal, weeks of supply, is the third. Inventory turnover is computed on an annual basis, using Equation (11-2):

(11-2)

Cost of goods sold is the cost to produce the goods or services sold for a given period. Inventory investment is the average inventory value for the same period. This may be the average of several periods of inventory or beginning and ending inventory added together and divided by 2.

Inventory turnover = Cost of goods sold>Inventory investment

Chapter 11 Supply-Chain Management 355

Often, average inventory investment is based on nothing more than the inventory investment at the end of the period—typically at year-end.3

In Example 5, we look at inventory turnover applied to PepsiCo.

� TABLE 11.6 Inventory as Percentage of Total Assets (with examples of exceptional performance)

Manufacturer 15% (Toyota 5%)

Wholesale 34% (Coca-Cola 2.9%)

Restaurants 2.9% (McDonald’s .05%)

Retail 27% (Home Depot 25.7%)

� TABLE 11.7 Examples of Annual Inventory Turnover

Food, Beverage, Retail

Anheuser Busch 15

Coca-Cola 14

Home Depot 5

McDonald’s 112

Manufacturing

Dell Computer 90

Johnson Controls 22

Toyota (overall) 13

Nissan (assembly) 150

� EXAMPLE 5 Inventory turnover at PepsiCo, Inc.

PepsiCo, Inc., manufacturer and distributor of drinks, Frito-Lay, and Quaker Foods, provides the fol- lowing in its 2005 annual report (shown here in $ billions). Determine PepsiCo’s turnover.

APPROACH � Use the inventory turnover computation in Equation (11-2) to measure inventory performance. Cost of goods sold is $14.2 billion. Total inventory is the sum of raw material at $.74 bil- lion, work-in-process at $.11 billion, and finished goods at $.84 billion, for total inventory investment of $1.69 billion.

SOLUTION �

INSIGHT � We now have a standard, popular measure by which to evaluate performance.

LEARNING EXERCISE � If Coca-Cola’s cost of goods sold is $10.8 billion and inventory investment is $.76 billion, what is its inventory turnover? [Answer: 14.2.]

RELATED PROBLEMS � 11.11a, 11.12c, 11.13

= 8.4

= 14.2>1.69

Inventory Turnover = Cost of goods sold>Inventory investment

Net revenue $32.5 Cost of goods sold $14.2 Inventory:

Raw material inventory $.74 Work-in-process inventory $.11 Finished goods inventory $.84

Total inventory investment $1.69

3Inventory quantities often fluctuate wildly, and various types of inventory exist (e.g., raw material, work-in-process, finished goods, and maintenance, repair, and operating supplies [MRO]). Therefore, care must be taken when using inventory values; they may reflect more than just supply-chain performance.

Weeks of supply, as shown in Example 6, may have more meaning in the wholesale and retail portions of the service sector than in manufacturing. It is computed below as the reciprocal of inventory turnover:

(11-3)Weeks of supply = Inventory investment>1Annual cost of goods sold>52 weeks2

356 PART 3 Managing Operations

EXAMPLE 6 � Determining weeks of supply at PepsiCo

Using the PepsiCo data in Example 5, management wants to know the weeks of supply.

APPROACH � We know that inventory investment is $1.69 billion and that weekly sales equal annual cost of goods sold ($14.2 billion) divided by

SOLUTION � Using Equation (11-3), we compute weeks of supply as:

INSIGHT � We now have a standard measurement by which to evaluate a company’s continuing performance or by which to compare companies.

LEARNING EXERCISE � If Coca-Cola’s average inventory investment is $.76 billion and its average weekly cost of goods sold is $.207 billion, what is the firm’s weeks of supply? [Answer: 3.67 weeks.]

RELATED PROBLEMS � 11.12a, 11.14

= 1.69>.273 = 6.19 weeks

Weeks of supply = 1Inventory investment>Average weekly cost of goods sold2

52 = $14.2>52 = $.273 billion.

Supply-chain management is critical in driving down inventory investment. The rapid move- ment of goods is key. Walmart, for example, has set the pace in the retailing sector with its world- renowned supply-chain management. By doing so, it has established a competitive advantage. With its own truck fleet, distribution centers, and a state-of-the-art communication system, Walmart (with the help of its suppliers) replenishes store shelves an average of twice per week. Competitors resupply every other week. Economical and speedy resupply means both rapid response to product changes and customer preferences, as well as lower inventory investment. Similarly, while many manufacturers struggle to move inventory turnover up to 10 times per year, Dell Computer has inventory turns exceeding 90 and supply measured in days—not weeks. Supply-chain management provides a competitive advantage when firms effectively respond to the demands of global markets and global sources.

The SCOR Model In addition to the metrics presented above, the Supply-Chain Council (SCC) has developed 200 process elements, 550 metrics, and 500 best practices. The SCC (www.supply-chain.org) is a 900-member not-for-profit association for the improvement of supply-chain effectiveness. The council has developed the five-part Supply-Chain Operations Reference (SCOR) model. The five parts are Plan, Source, Make, Deliver, and Return, as shown in Figure 11.3.

The council believes the model provides a structure for its processes, metrics, and best prac- tices to be (1) implemented for competitive advantage; (2) defined and communicated pre- cisely; (3) measured, managed, and controlled; and (4) fine-tuned as necessary to a specific application.

Supply-Chain Operations Reference (SCOR) model A set of processes, metrics, and best practices developed by the Supply-Chain Council.

Plan: Demand/Supply Planning and Management

Deliver: Invoice, warehouse, transport, and install

Make: Manage production execution, testing, and packaging

Source: Identify, select, manage, and assess sources

Return: Finished goodsReturn: Raw material

� FIGURE 11.3 The Supply-Chain Operations Reference (SCOR) Model

Chapter 11 Supply-Chain Management 357

Competition is no longer between companies but between supply chains. For many firms, the supply chain determines a substantial portion of product cost and quality, as well as opportunities for responsiveness and differentiation. Six supply-chain strategies have been identified: (1) many sup- pliers, (2) few suppliers, (3) vertical integration, (4) joint

ventures, (5) keiretsu networks, and (6) virtual companies. Skillful supply- chain management provides a great strategic opportunity for competitive advantage.

CHAPTER SUMMARY

Key Terms

Supply-chain management (p. 336) Make-or-buy decision (p. 341) Outsourcing (p. 341) Vertical integration (p. 342) Keiretsu (p. 343) Virtual companies (p. 343) Bullwhip effect (p. 344) Pull data (p. 345) Single-stage control of replenishment (p. 345)

Vendor-managed inventory (VMI) (p. 346) Collaborative planning, forecasting, and

replenishment (CPFR) (p. 346) Blanket order (p. 346) Postponement (p. 346) Drop shipping (p. 347) Pass-through facility (p. 347) Channel assembly (p. 347) E-procurement (p. 347)

Electronic data interchange (EDI) (p. 347) Advanced shipping notice (ASN) (p. 347) Negotiation strategies (p. 350) Logistics management (p. 350) Inventory turnover (p. 354) Supply-Chain Operations Reference

(SCOR) model (p. 356)

Solved Problem Virtual Office Hours help is available at www.myomlab.com

chain performance by measuring his percent of assets in inven- tory, his inventory turnover, and his weeks of supply. We use Equations (11-1), (11-2), and (11-3) to provide these measures.

� SOLVED PROBLEM 11.1 Jack’s Pottery Outlet has total end-of-year assets of $5 million. The first-of-the-year inventory was $375,000, with a year-end inventory of $325,000. The annual cost of goods sold was $7 million. The owner, Eric Jack, wants to evaluate his supply

� SOLUTION First, determine average inventory:

Then, use Equation (11-1) to determine percent invested in inventory:

Third, determine inventory turnover, using Equation (11-2):

Finally, to determine weeks of inventory, use Equation (11-3), adjusted to weeks:

We conclude that Jack’s Pottery Outlet has 7% of its assets invested in inventory, that the inventory turnover is 20, and that weeks of supply is 2.6.

= 2.6 = 350,000>134,615 = 350,000>17,000,000>522

Weeks of inventory = Inventory investment>Weekly cost of goods sold

= 20 = 7,000,000>350,000

Inventory turnover = Cost of goods sold>Inventory investment

= 7% = 1350,000>5,000,0002 * 100

Percent invested in inventory = 1Total inventory investment>Total assets2 * 100

1$375,000 + $325,0002>2 = $350,000

358 PART 3 Managing Operations

Bibliography

Blackburn, Joseph, and Gary Scudder. “Supply Chain Strategies for Perishable Products.” Production and Operations Management 18, no. 2 (March–April 2009): 129–137.

Boyer, Kenneth K., and G. Tomas M. Hult. “Extending the Supply Chain: Integrating Operations and Marketing in the Online Grocery Industry.” Journal of Operations Management 23, no. 6 (September 2005): 642–661.

Chopra, Sunil, and Peter Meindl. Supply Chain Management, 4th ed. Upper Saddle River, NJ: Prentice Hall (2010).

Crook, T. Russell, and James G. Combs. “Sources and Consequences of Bargaining Power in Supply Chains.” Journal of Operations Management 25, no. 2 (March 2007): 546–555.

Hu, J., and C. L. Munson. “Speed versus Reliability Trade-offs in Supplier Selection.” International Journal Procurement Management 1, no. 1/2 (2007): 238–259.

Kersten, Wolfgang, and Thorsten Blecker (eds.). Managing Risk in Supply Chains. Berlin: Erich Schmidt Verlag GmbH & Co. (2006).

Kreipl, Stephan, and Michael Pinedo. “Planning and Scheduling in Supply Chains.” Production and Operations Management 13, no. 1 (Spring 2004): 77–92.

Linton, J. D., R. Klassen, and V. Jayaraman. “Sustainable Supply Chains: An Introduction.” Journal of Operations Management 25, no. 6 (November 2007): 1075–1082.

Monczka, R. M., R. B. Handfield, L. C. Gianipero, and J. L. Patterson. Purchasing and Supply Chain Management, 4th ed. Mason, OH: Cengage (2009).

Narayanan, Sriram, Ann S. Marucheck, and Robert B. Handfield. “Electronic Data Interchange: Research Review and Future Directions.” Decisions Sciences 40, no. 1 (February 2009): 121–163.

Pisano, Gary P., and Roberto Verganti. “Which Kind of Collaboration Is Right for You?” Harvard Business Review 86, no. 12 (December 2008): 78–86.

Sinha, K. K., and E. J. Kohnke. “Health Care Supply Chain Design.” Decision Sciences 40, no. 2 (May 2009): 197–212.

Stanley, L. L., and V. R. Singhal. “Service Quality Along the Supply Chain.” Journal of Operations Management 19, no. 3 (May 2001): 287–306.

Wisner, Joel, K. Tan, and G. Keong Leong. Principles of Supply Chain Management, 3rd ed., Mason, OH: Cengage (2009).

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Amazon.com: Discusses opportunities and issues in an innovative business model for the Internet.

Outsourcing as a Supply-Chain Strategy

Supplement Outline

What Is Outsourcing? 360

Strategic Planning and Core Competencies 361

Risks of Outsourcing 363

Evaluating Outsourcing Risk with Factor Rating 365

Advantages and Disadvantages of Outsourcing 367

Audits and Metrics to Evaluate Performance 368

Ethical Issues in Outsourcing 368

359

SUPPLEMENTSUPPLEMENT

360 PART 3 Managing Operations

LO1: Explain how core competencies relate to outsourcing 362

LO2: Describe the risks of outsourcing 363

AUTHOR COMMENT Outsourcing is a supply-chain

strategy that can deliver tremendous value to an

organization.

WHAT IS OUTSOURCING? Outsourcing is a creative management strategy. Indeed, some organizations use outsourcing to replace entire purchasing, information systems, marketing, finance, and operations departments. Outsourcing is applicable to firms throughout the world. And because outsourcing decisions are risky and many are not successful, making the right decision may mean the difference between success and failure.1

Because outsourcing grows by double digits every year, students and managers need to under- stand the issues, concepts, models, philosophies, procedures, and practices of outsourcing. This supplement describes current concepts, methodologies, and outsourcing strategies.

Outsourcing means procuring from external suppliers services or products that are normally a part of an organization. In other words, a firm takes functions it was performing in-house (such as accounting, janitorial, or call center functions) and has another company do the same job. If a company owns two plants and reallocates production from the first to the second, this is not con- sidered outsourcing. If a company moves some of its business processes to a foreign country but retains control, we define this move as offshoring, not outsourcing. For example, China’s Haier Group recently offshored a $40 million refrigerator factory to South Carolina (with huge savings in transportation costs). Or, as Thomas Friedman wrote in his book The World is Flat, “Offshoring is when a company takes one of its factories that it is operating in Canton, Ohio and moves the whole factory to Canton, China.”

1The authors wish to thank Professor Marc J. Schneiderjans, of the University of Nebraska–Lincoln, for help with the development of this supplement. His book Outsourcing and Insourcing in an International Context, with Ashlyn Schniederjans and Dara Schniederjans (Armonk, NY: M.E. Sharpe, 2005), provided insight, content, and references that shaped our approach to the topic.

Outsourcing Procuring from external sources services or products that are normally part of an organization.

Offshoring Moving a business process to a foreign country but retaining control of it.

Contract manufacturers such as Flextronics provide outsourcing service to IBM, Cisco Systems, HP, Microsoft, Motorola, Sony, Nortel, Ericsson, and Sun, among many others. Flextronics is a high-quality producer that has won over 450 awards, including the Malcolm Baldrige Award. One of the side benefits of outsourcing is that client firms such as IBM can actually improve their performance by using the competencies of an outstanding firm like Flextronics. But there are risks involved in outsourcing. Outsourcing decisions, as part of the supply-chain strategy, are explored in this supplement.

Supplement 11 Learning Objectives

LO3: Use factor rating to evaluate both country and provider outsourcers 365

LO4: List the advantages and disadvantages of outsourcing 367

Supplement 11 Outsourcing as a Supply-Chain Strategy 361

AUTHOR COMMENT Ford Motor used to mine its own ore, make and ship its

own steel, and sell cars directly, but those days are

long gone.

Early in their lives, many businesses handle their activities internally. As businesses mature and grow, however, they often find competitive advantage in the specialization provided by out- side firms. They may also find limitations on locally available labor, services, materials, or other resources. So organizations balance the potential benefits of outsourcing with its potential risks. Outsourcing the wrong activities can cause major problems.

Outsourcing is not a new concept; it is simply an extension of the long-standing practice of subcontracting production activities. Indeed, the classic make-or-buy decision concerning prod- ucts (which we discussed in Chapter 11) is an example of outsourcing.

So why has outsourcing expanded to become a major strategy in business the world over? From an economic perspective, it is due to the continuing move toward specialization in an increasingly technological society. More specifically, outsourcing’s continuing growth is due to (1) increasing expertise, (2) reduced costs of more reliable transportation, and (3) the rapid development and deployment of advancements in telecommunications and computers. Low-cost communication, including the Internet, permits firms anywhere in the world to provide previ- ously limited information services.

Examples of outsourcing include:

• Call centers for Brazil in Angola (a former Portuguese colony in Africa) and for the U.S. and England in India

• DuPont’s legal services routed to the Philippines • IBM handling travel services and payroll, and Hewlett-Packard providing IT services to P&G • ADP providing payroll services for thousands of firms • Production of the Audi A4 convertible and Mercedes CLK convertible by Wilheim Karmann

in Osnabruck, Germany • Blue Cross sending hip resurfacing surgery patients to India

Outsourced manufacturing, also known as contract manufacturing, is becoming standard practice in many industries, from computers to automobiles.

Paralleling the growth of outsourcing is the growth of international trade. With the passage of landmark trade agreements like the North American Free Trade Agreement (NAFTA), the work of the World Trade Organization and the European Union, and other international trade zones established throughout the world, we are witnessing the greatest expansion of international com- merce in history.

Table S11.1 provides a ranking of the top five and bottom five outsourcing locations (out of 50 countries) in the annual A.T. Kearney Global Options survey. Scores are based on a Global Services Location Index tallying financial attractiveness, workforce availability, employee skill set, and business environment.

Types of Outsourcing Nearly any business activity can be outsourced. A general contractor in the building industry, who subcontracts various construction activities needed to build a home, is a perfect example of an outsourcer. Every component of the building process, including the architect’s design, a consultant’s site location analysis, a lawyer’s work to obtain the building permits, plumbing, electrical work, dry walling, painting, furnace installation, landscaping, and sales, is usually outsourced. Outsourcing implies an agreement (typically a legally binding con- tract) with an external organization.

Among the business processes outsourced are (1) purchasing, (2) logistics, (3) R&D, (4) oper- ation of facilities, (5) management of services, (6) human resources, (7) finance/accounting, (8) customer relations, (9) sales/marketing, (10) training, and (11) legal processes. Note that the first six of these are OM functions that we discuss in this text.

STRATEGIC PLANNING AND CORE COMPETENCIES As we saw in Chapter 2, organizations develop missions, long-term goals, and strategies as gen- eral guides for operating their businesses. The strategic planning process begins with a basic mis- sion statement and establishing goals. Given the mission and goals, strategic planners next undertake an internal analysis of the organization to identify how much or little each business activity contributes to the achievement of the mission.

During such an analysis, firms identify their strengths—what they do well or better than their competitors. These unique skills, talents, and capabilities are called core competencies. Core

� TABLE S11.1 Desirable Outsourcing Destinations

Rank Country Score 1 India 6.9 2 China 6.6 3 Malaysia 6.1 4 Thailand 6.0 5 Brazil 5.9

o 46 Ukraine 4.9 47 France 4.9 48 Turkey 4.8 49 Portugal 4.8 50 Ireland 4.2

Core competencies An organization’s unique skills, talents, and capabilities.

VIDEO S11.1 Outsourcing Offshore at Darden

Source: Based on A. T. Kearney,

2009.

362 PART 3 Managing Operations

competencies may include specialized knowledge, proprietary technology or information, and unique production methods. The trick is to identify what the organization does better than any- one else. Common sense dictates that core competencies are the activities that a firm should per- form. By contrast, non-core activities, which can be a sizable portion of an organization’s total business, are good candidates for outsourcing.

Sony’s core competency, for example, is electromechanical design of chips. This is its core, and Sony is one of the best in the world when it comes to rapid response and specialized production of these chips. But, as Figure S11.1 suggests, outsourcing could offer Sony continuous innovation and flexibility. Leading specialized outsource providers are likely to come up with major innovations in such areas as software, human resources, and distribution. That is their business, not Sony’s.

Managers evaluate their strategies and core competencies and ask themselves how to use the assets entrusted to them. Do they want to be the offshore company that does low-margin work at 3%–4% or the innovative firm that makes a 30%–40% margin? PC or iPod assemblers in China and Taiwan earn 3%–4%, but Apple, which innovates, designs, and sells, has a margin 10 times as large.

To summarize, management must be cautious in outsourcing those elements of the product or service that provide a competitive advantage.

The Theory of Comparative Advantage The motivation for international outsourcing comes from the theory of comparative advantage. This theory focuses on the basic economics of outsourcing internationally. According to the the- ory, if an external provider, regardless of its geographic location, can perform activities more productively than the purchasing firm, then the external provider should do the work. This allows the purchasing firm to focus on what it does best, its core competencies.

However, comparative advantage is not static. Companies, and indeed countries, strive to find comparative advantage. Countries such as India, China, and Russia have made it a government priority and set up agencies to support the easy transition of foreign firms into their outsourcing markets. Work and jobs go to countries that reduce risk through the necessary legal structures, effective infrastructure, and an educated workforce.

The dynamics of comparative advantage are evident from a recent study of five manufactured products. In an effort to meet “optimal” prices on auto parts in 2005, companies were moving work from Mexico to China. At that time China had a 22% price advantage on these parts over the U.S. But by 2009 that gap had dropped to 5.5%—and in some instances manufacturing in China was

LO1: Explain how core competencies relate to outsourcing

Outsourcers could provide Sony with:

Core Competency

Best in world at electromechanical

miniaturization design

Post-sales service

Financial functions

Logistics

Maintenance

Real estate management

Parts manufacture

Marketing

Distribution

Accounting

Employee benefit management

� FIGURE S11.1 Sony, an Outsourcing Company Based on J. B. Quinn. “Outsourcing Innovation.” Sloan Management Review (Summer 2000): 20.

Theory of comparative advantage A theory which states that countries benefit from specializing in (and exporting) products and services in which they have relative advantage, and importing goods in which they have a relative disadvantage.

AUTHOR COMMENT Author James Champy writes, “Although you may be good

at something tactically, someone else may do it better

and at lower cost.”

Supplement 11 Outsourcing as a Supply-Chain Strategy 363

20% more expensive than Mexico. As a result, some manufacturing began migrating back to Mexico and the U.S.; the price gap wasn’t large enough to merit the hassle of manufacturing halfway around the world.2

Nonetheless, consistent with the theory of comparative advantage, the trend toward outsourc- ing continues to grow. This does not mean all existing outsourcing decisions are perfect. The term backsourcing has been used to describe the return of business activity to the original firm. We will now discuss the risks associated with outsourcing.

RISKS OF OUTSOURCING Risk management starts with a realistic analysis of risks and results in a strategy that minimizes the impact of these uncertainties. Indeed, outsourcing can look very risky. And it is. Perhaps half of all outsourcing agreements fail because of inappropriate planning and analysis. For one thing, few promoters of international outsourcing mention the erratic power grids in some foreign countries or the difficulties with local government officials, inexperienced managers, and unmo- tivated employees. On the other hand, when managers set an outsourcing goal of 75% cost reduc- tion and receive only a 30%–40% cost reduction, they view the outsourcing as a failure, when, in fact, it may be a success.

Quality can also be at risk. A recent survey of 150 North American companies found that, as a group, those that outsourced customer service saw a drop in their score on the American Consumer Satisfaction Index. We should point out that the declines were roughly the same whether companies outsourced domestically or overseas.3

Another risk is the political backlash that results from outsourcing to foreign countries. The perceived loss of U.S. jobs (as well as the loss of jobs in European countries) has fueled anti- outsourcing rhetoric and action from government officials. (See the OM in Action box “Backsourcing to Small-Town U.S.A.”).

Despite the negative impression created by government actions, the press, and public opinion, data suggest that foreigners outsource far more services to the U.S. than U.S. companies send abroad. And while U.S. jobs are outsourced, a minuscule few are outsourced offshore. A recent Organization for Economic Cooperation and Development (OECD) report on the subject shows that outsourcing is not as big a cause in job losses as, say, improved technology, and has an over- all positive effect.4 It is also a two-way street. India’s cartoon producer Jadoo Works, for exam- ple, outsources projects to U.S. animators.

Backsourcing The return of business activity to the original firm.

2“China’s Eroding Advantage” Business Week (June 15, 2009): 54:55. The report dealt with five categories of machined products, ranging from large engine parts requiring significant labor to small plastic components that need little. 3J. Whitaker, M. S. Krishnan, and C. Fornell. “How Offshore Outsourcing Affects Customer Satisfaction.” The Wall Street Journal (July 7, 2008): R4. 4“Outsourcing: Old Assumptions Are Being Challenged as the Outsourcing Industry Matures,” The Economist (July 28, 2007): 65–66.

In the ultimate risk in outsourcing, NASA has awarded contracts of $3.5 billion to a team, led by Orbital Sciences Corp., to ship cargo to the International Space Station starting in 2011. The company will be solely responsible for designing, building, and launching rockets on a regular basis. NASA hopes to save time and money by outsourcing.

AUTHOR COMMENT The substantial risk in outsourcing requires

managers to invest the effort to make sure they do it right.

LO2: Describe the risks of outsourcing

364 PART 3 Managing Operations

Table S11.2 lists some of the risks inherent in outsourcing. In addition to the external risks, operations managers must deal with other issues that out-

sourcing brings. These include (1) changes in employment levels, (2) changes in facilities and processes needed to receive components in a different state of assembly, and (3) vastly expanded logistics issues, including insurance, customs, and timing.

What can be done to mitigate the risks of outsourcing? Research indicates that of all the rea- sons given for outsourcing failure, the most common is that the decision was made without suf- ficient understanding and analysis. The next section provides a methodology that helps analyze the outsourcing decision process.

Outsourcing Process Examples of Possible Risks Identify non-core competencies Can be incorrectly identified as a non-core

competency. Identify non-core activities that should be outsourced

Just because the activity is not a core competency for your firm does not mean an outsource provider is more competent and efficient.

Identify impact on existing facilities, capacity, and logistics

Failing to understand the change in resources and talents needed internally.

Establish goals and draft outsourcing agreement specifications

Setting goals so high that failure is certain.

Identify and select outsource provider Selecting the wrong outsource provider. Negotiate goals and measures of outsourcing performance

Misinterpreting measures and goals, how they are measured, and what they mean.

Monitor and control current outsourcing program

Being unable to control product development, schedules, and quality.

Evaluate and give feedback to outsource provider

Having a non-responsive provider (i.e., one that ignores feedback).

Evaluate international political and currency risks

Evaluate coordination needed for shipping and distribution

Country’s currency may be unstable, a country may be politically unstable, or cultural and language differences may inhibit successful operations. Understanding of the timing necessary to manage flows to different facilities and markets.

U.S. companies continue their global search for efficiency by outsourcing call centers and back-office operations, but many find they need to look no farther than a place like Dubuque, Iowa.

To U.S. firms facing quality problems with their outsourcing operations overseas and bad publicity at home, small-town America is emerging as a pleasant alternative. Dubuque (pop’n 57,313), Nacogdoches, Texas (pop’n 29,914), or Twin Falls, Idaho (pop’n 34,469), may be the perfect call center location. Even though the pay is only $8 an hour, the jobs are some of the best available to small-town residents.

By moving out of big cities to the cheaper labor and real estate of small towns, companies can save millions and still increase productivity. A call center in a town that just lost its major manufacturing plant finds the jobs easy to fill.

IBM, which has been criticized in the past for moving jobs to India and other offshore locations, picked Dubuque for its new remote computer-services center that opened in 2010 with 1,300 jobs.

Taking advantage of even cheaper wages in other countries will not stop soon, though. Is India the

unstoppable overseas call center capital that people think it is? Not at all. Despite its population of 1.2 billion, only a small percent of its workers have the language skills and technical education to work in Western-style industries. Already, India has been warned that if call centers can’t recruit at reasonable wages, its jobs will move to the Philippines, South Africa, and Ghana. And indeed, Dell, Apple, and Britain’s Powergen have backsourced from Indian call centers, claiming their costs had become too high.

Sources: The Wall Street Journal (January 15, 2009): B2; (April 18–19, 2009): B1, B5; and (May 30/31, 2009): A14

OM in Action OMinAction� Backsourcing to Small-Town U.S.A.

� TABLE S11.2 The Outsourcing Process and Related Risks

AUTHOR COMMENT Cultural differences may

indeed be why companies are less frequently outsourcing

their call centers.

Supplement 11 Outsourcing as a Supply-Chain Strategy 365

EVALUATING OUTSOURCING RISK WITH FACTOR RATING The factor-rating method, first introduced in Chapter 8, is an excellent tool for dealing with both country risk assessment and provider selection problems.

Rating International Risk Factors Suppose a company has identified for outsourcing an area of production that is a non-core com- petency. Example S1 shows how to rate several international risk factors using an unweighted factor-rating approach.

AUTHOR COMMENT The factor-rating model adds

objectivity to decision making.

� EXAMPLE S1 Establishing risk factors for four countries

Toronto Airbags produces auto and truck airbags for Nissan, Chrysler, Mercedes, and BMW. It wants to conduct a risk assessment of outsourcing manufacturing. Four countries—England, Mexico, Spain, and Canada (the current home nation)—are being considered. Only English- or Spanish-speaking countries are included because they “fit” with organizational capabilities.

APPROACH � Toronto’s management identifies nine factors, listed in Table S11.3, and rates each country on a 0–3 scale, where 0 is no risk and 3 is high risk. Risk ratings are added to find the lowest- risk location.

Risk Factor England Mexico Spain Canada (home country)

Economic: Labor cost/laws 1 0 2 1 Economic: Capital availability 0 2 1 0 Economic: Infrastructure 0 2 2 0 Culture: Language 0 0 0 0 Culture: Social norms 2 0 1 2 Migration: Uncontrolled 0 2 0 0 Politics: Ideology 2 0 1 2 Politics: Instability 0 1 2 2 Politics: Legalities 3 0 2 3 Total risk rating scores 8 7 11 10

*Risk rating scale: 0 = no risk, 1 = minor risk, 2 = average risk, 3 = high risk

� TABLE S11.3 Toronto Airbag’s International Risk Factors, by Country (an unweighted approach)*

SOLUTION � Based on these ratings, Mexico is the least risky of the four locations being considered.

INSIGHT � As with many other quantitative methods, assessing risk factors is not easy and may require considerable research, but the technique adds objectivity to a decision.

LEARNING EXERCISE � Social norms in England have just been rescored by an economist, and the new rating is “no risk.” How does this affect Toronto’s decision? [Answer: England now has the lowest rating, at 6, for risk.]

RELATED PROBLEMS � S11.1, S11.3

EXCEL OM Data File Ch11SExS1.xls can be found at www.pearsonhighered.com/heizer.

In Example S1, Toronto Airbags considered only English- and Spanish-speaking countries. But it is worth mentioning that countries like China, India, and Russia have millions of English- speaking personnel. This may have an impact on the final decision.

Example S1 considered the home country of the outsourcing firm. This inclusion helps docu- ment the risks that a domestic outsourcing provider poses compared to the risks posed by inter- national providers. Including the home country in the analysis also helps justify final strategy selection to stakeholders who might question it.

Indeed, nearshoring (i.e., choosing an outsource provider located in the home country or in a nearby country) can be a good strategy for businesses and governments seeking both control and cost advantages. U.S. firms are interested in nearshoring to Canada because of Canada’s cultural similarity and geographic nearness to the U.S. This allows the company wanting to outsource to exert more control than would be possible when outsourcing to most other countries. Nearshoring represents a compromise in which some cost savings are sacrificed for greater con- trol because Canada’s smaller wage differential limits the labor cost reduction advantage.

LO3: Use factor rating to evaluate both country and provider outsourcers

Nearshoring Choosing an outsource provider in the home country or in a nearby country.

366 PART 3 Managing Operations

Rating Outsource Providers In Chapter 8 (see Example 1) we illustrated the factor-rating method’s computations when each factor has its own importance weight. We now apply that concept in Example S2 to compare out- sourcing providers being considered by a firm.

EXAMPLE S2 � Rating provider selection criteria

National Architects, Inc., a San Francisco–based designer of high-rise buildings, has decided to out- source its information technology (IT) function. Three outsourcing providers are being actively consid- ered: one in the U.S., one in India, and one in Israel.

APPROACH � National’s VP–Operations, Susan Cholette, has made a list of seven criteria she considers critical. After putting together a committee of four other VPs, she has rated each firm (on a 1–5 scale, with 5 being highest) and has also placed an importance weight on each of the factors, as shown in Table S11.4.

Outsource Providers

Factor (criterion)*

Importance Weight

BIM (U.S.)

S.P.C. (India)

Telco (Israel)

1. Can reduce operating costs .2 3 3 5 2. Can reduce capital investment .2 4 3 3 3. Skilled personnel .2 5 4 3 4. Can improve quality .1 4 5 2 5. Can gain access

to technology not in company .1 5 3 5 6. Can create additional capacity .1 4 2 4 7. Aligns with policy/

philosophy/culture .1 2 3 5 Totals 1.0 3.9 3.3 3.8

* These seven major criteria are based on a survey of 165 procurement executives, as reported in J. Schildhouse, “Outsourcing

Ins and Outs,” Inside Supply Management (December 2005): 22–29.

�TABLE S11.4 Factor Ratings Applied to National Architects’s Potential IT Outsourcing Providers

SOLUTION � Susan multiplies each rating by the weight and sums the products in each column to generate a total score for each outsourcing provider. She selects BIM, which has the highest overall rating.

INSIGHT � When the total scores are as close (3.9 vs. 3.8) as they are in this case, it is important to examine the sensitivity of the results to inputs. For example, if one of the importance weights or fac- tor scores changes even marginally, the final selection may change. Management preference may also play a role here.

LEARNING EXERCISE � Susan decides that “Skilled personnel” should instead get a weight of 0.1 and “Aligns with policy/philosophy/culture” should increase to 0.2. How do the total scores change? [Answer: and , so Telco is selected.]

RELATED PROBLEMS � S11.2, S11.4, S11.5, S11.6, S11.7

EXCEL OM Data File Ch11SExS2.xls can be found at www.pearsonhighered.com/heizer.

Telco = 4.0BIM = 3.6, S.P.C. = 3.2,

Most U.S. toy companies now outsource their production to Chinese manufacturers. Cost savings are significant, but there are several downsides, including loss of control over such issues as quality. In 2007 alone, Mattel had to recall 10.5 million Elmos, Big Birds, and SpongeBobs. These made-in-China toys contained excessive levels of lead in their paint. In 2008 the quality headlines dealt with poisonous pet food from China, and in 2009 it was tainted milk products.

Supplement 11 Outsourcing as a Supply-Chain Strategy 367

ADVANTAGES AND DISADVANTAGES OF OUTSOURCING Advantages of Outsourcing As mentioned earlier, companies outsource for five main reasons. They are, in order of impor- tance: (1) cost savings, (2) gaining outside expertise, (3) improving operations and service, (4) focusing on core competencies, and (5) gaining outside technology.

Cost Savings The number-one reason driving outsourcing for many firms is the possibility of significant cost savings, particularly for labor. (See the OM in Action box “Walmart’s Link to China.”)

Gaining Outside Expertise In addition to gaining access to a broad base of skills that are unavailable in-house, an outsourcing provider may be a source of innovation for improving prod- ucts, processes, and services.

Improving Operations and Service An outsourcing provider may have production flexi- bility. This may allow the firm outsourcing its work to win orders by more quickly introducing new products and services.

Focusing on Core Competencies An outsourcing provider brings its core competencies to the supply chain. This frees up a firm’s human, physical, and financial resources to reallocate to core competencies.

Gaining Outside Technology Firms can outsource to state-of-the-art providers instead of retaining old (legacy) systems. This means they do not have to invest in new technology, thereby cutting risks.

Other Advantages There are additional advantages in outsourcing. For example, a firm may improve its performance and image by associating with an outstanding supplier. Outsourcing can also be used as a strategy for downsizing, or “reengineering,” a firm.

Disadvantages of Outsourcing There are a number of potential disadvantages in outsourcing. Here are just a few.

Increased Transportation Costs Delivery costs may rise substantially if distance increases from an outsourcing provider to a firm using that provider.

Loss of Control This disadvantage can permeate and link to all other problems with outsourc- ing. When managers lose control of some operations, costs may increase because it’s harder to assess and control them. For example, production of most of the world’s laptops is now outsourced. This means that companies like Dell and HP find themselves using the same contractor (Quanta) to make their machines in China. This can leave them struggling to maintain control over the supplier.

LO4: List the advantages and disadvantages of outsourcing

No other company has a more efficient supply chain, and no other company has embraced outsourcing to China more vigorously than Walmart. Perhaps as much as 85% of Walmart’s merchandise is made abroad, and Chinese factories are by far the most important and fastest growing of these sources.

A whopping 10%–13% of everything China sends to the U.S. ends up on Walmart’s shelves—over $15 billion worth of goods a year. Walmart has almost 600 people on the ground in China just to negotiate and make purchases.

As much as Walmart has been demonized for its part in offshoring jobs, its critical mass allows Chinese firms to build assembly lines that are so huge that they drive prices down through economies of scale.

Walmart’s Chinese suppliers achieve startling, market- shaking price cuts. For example, the price of portable

DVDs with 7 ′′ LCD screens dropped in half when Walmart found a Chinese factory to build in giant quantities. Walmart’s success in going abroad and pressing suppliers for price breaks has forced both retailers and manufacturers to reevaluate their supply chains.

The company has also led the way to sustainability and product safety through its “Responsible Sourcing” program, announced in 2008. Because Chinese products have been riddled with safety issues, Walmart in 2009 required “an identifiable trail” from raw materials to suppliers.

It also told its top 200 Chinese suppliers that they have until 2012 to become energy and resource efficient, cutting energy use by 20%.

Sources: The Wall Street Journal (October 22, 2008): B1; About.com: Logistics/Supply Chain (November 26, 2008); and Financial Times (December 12, 2008): 9.

OM in Action � Walmart’s Link to China

368 PART 3 Managing Operations

Creating Future Competition Intel, for example, outsourced a core competency, chip pro- duction, to AMD when it could not keep up with early demands. Within a few years, AMD became a leading competitor, manufacturing its own chips.

Negative Impact on Employees Employee morale may drop when functions are out- sourced, particularly when friends lose their jobs. Employees believe they may be next, and indeed they may be. Productivity, loyalty, and trust—all of which are needed for a healthy, grow- ing business—may suffer.

Longer-Term Impact Some disadvantages of outsourcing tend to be longer term than the advantages of outsourcing. In other words, many of the risks firms run by outsourcing may not show up on the bottom line until some time in the future. This permits CEOs who prefer short- term planning and are interested only in bottom-line improvements to use the outsourcing strat- egy to make quick gains at the expense of longer-term objectives.

The advantages and disadvantages of outsourcing may or may not occur but should be thought of as possibilities to be managed effectively.

AUDITS AND METRICS TO EVALUATE PERFORMANCE Regardless of the techniques and success in selection of outsourcing providers, agreements must specify results and outcomes. Whatever the outsourced component or service, management needs an evaluation process to ensure satisfactory continuing performance. At a minimum, the product or service must be defined in terms of quality, customer satisfaction, delivery, cost, and improve- ment. The mix and detail of the performance measures will depend on the nature of the product.

In situations where the outsourced product or service plays a major role in strategy and win- ning orders, the relationship needs to be more than after-the-fact audits and reports. It needs to be based on continuing communication, understanding, trust, and performance. The relationship should manifest itself in the mutual belief that “we are in this together” and go well beyond the written agreement.

However, when outsourcing is for less critical components, agreements that include the tradi- tional mix of audits and metrics (such as cost, logistics, quality, and delivery) may be reported weekly or monthly. When a service has been outsourced, more imaginative metrics may be nec- essary. For instance, in an outsourced call center, these metrics may deal with personnel evalua- tion and training, call volume, call type, and response time, as well as tracking complaints. In this dynamic environment, reporting of such metrics may be required daily.

ETHICAL ISSUES IN OUTSOURCING Laws, trade agreements, and business practices are contributing to a growing set of international, ethical practices for the outsourcing industry. Table S11.5 presents several tenets of conduct that have fairly universal acceptance.

In the electronics industry, HP, Dell, IBM, Intel and twelve other companies have created the Electronics Industry Code of Conduct (EICC). The EICC sets environmental standards, bans child labor and excessive overtime, and audits outsourcing producers to ensure compliance.

Ethics Principle Outsourcing Linkage Do no harm to indigenous cultures Avoid outsourcing in a way that violates religious holidays

(e.g., making employees work during religious holidays). Do no harm to the ecological systems

Don’t use outsourcing to move pollution from one country to another.

Uphold universal labor standards Don’t use outsourcing to take advantage of cheap labor that leads to employee abuse.

Uphold basic human rights Don’t accept outsourcing that violates basic human rights. Pursue long-term involvement Don’t use outsourcing as a short-term arrangement to reduce

costs; view it as a long-term partnership. Share knowledge and technology Don’t think outsourcing agreements will prevent loss of

technology, but use the inevitable sharing to build good relationships.

�TABLE S11.5 Ethical Principles and Related Outsourcing Linkages

AUTHOR COMMENT Because outsourcing is rife

with potential abuse, companies have to be careful

not to harm individuals, societies, or nature.

Supplement 11 Outsourcing as a Supply-Chain Strategy 369

SUPPLEMENT SUMMARY Companies can give many different reasons why they out- source, but the reality is that outsourcing’s most attractive feature is that it helps firms cut costs. Workers in low-cost countries simply work much more cheaply, with fewer fringe benefits, work rules, and legal restrictions, than their U.S. and European counterparts. For example, a comparable hourly wage of $20 in the U.S. and $30 in Europe is well above the $1.26 per hour in China. Yet

China often achieves quality levels equivalent to (or even higher than) plants in the West.

There is a growing economic pres- sure to outsource. But there is also a need for planning outsourcing to make it accept- able to all participants. When outsourcing is done in the right way, it creates a win–win situation.

Key Terms

Outsourcing (p. 360) Offshoring (p. 360)

Core competencies (p. 361) Theory of comparative advantage (p. 362)

Backsourcing (p. 363) Nearshoring (p. 365)

Using Software to Solve Outsourcing Problems

Excel, Excel OM, and POM for Windows may be used to solve most of the problems in this supplement. Excel OM and POM for Windows both contain Factor Rating modules that can address issues such as the ones we saw in

Examples S1 and S2. The Factor-Rating module was illustrated earlier in Program 8.1 in Chapter 8.

Bibliography

Aron, R., and J. V. Singh. “Getting Offshoring Right.” Harvard Business Review (December 2005): 135–143.

Bravard, J., and R. Morgan. Smarter Outsourcing. Upper Saddle River, NJ: Pearson (2006).

Champy, James. Avoiding the Seven Deadly Sins of Outsourcing Relationships. Plano, TX: Perot Systems (2005).

Friedman, Thomas. The World Is Flat: A Brief History of the 21st Century. New York: Farrar, Straus, and Giroux (2005).

Greenwald, Bruce C., and Judd Kahn. Globalization: The Irrational Fear That Someone in China Will Take Your Job. New York: Wiley (2009).

Halvey, J. K., and B. M. Melby. Business Process Outsourcing, 2nd ed. New York: Wiley (2007).

Hirschheim, R., A. Heinzl, and J. Dibbern. Information Systems Outsourcing. Secaucus, NJ: Springer (2009).

Lee, Hau L., and Chung-Yee Lee. Building Supply Chain Excellence in Emerging Economies. Secaucus, NJ: Springer (2007).

Messner, W. Working with India, Secaucus, NJ: Springer (2009). Midler, Paul. Poorly Made in China: An Insider’s Account of

the Tactics behind China’s Production Game. New York: Wiley (2009).

Thomas, A. R., and T. J. Wilkinson. “The Outsourcing Compulsion.” MIT Sloan Management Review 48, no. 1 (Fall 2006): 10.

Webb, L., and J. Laborde. “Crafting a Successful Outsourcing Vendor/Client Relationship.” Business Process Management Journal 11, no. 5 (2005): 437–443.

Whitten, Dwayne, and Dorothy Leidner. “Bringing IT Back: An Analysis of the Decision to Backsource or Switch Vendors.” Decision Sciences 37, no. 4 (November 2006): 605–621.

Yourdon, Edward. Outsource: Competing in the Global Productivity Race. Upper Saddle River, NJ: Prentice Hall (2005).

This page intentionally left blank

Inventory Management

Chapter Outline

GLOBAL COMPANY PROFILE: AMAZON.COM

The Importance of Inventory 374

Managing Inventory 375

Inventory Models 380

Inventory Models for Independent Demand 380

Probabilistic Models and Safety Stock 393

Single-Period Model 398

Fixed-Period (P ) Systems 399

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management � Independent Demand

� Dependent Demand

� JIT & Lean Operations

� Scheduling

� Maintenance

371

GLOBAL COMPANY PROFILE: AMAZON.COM

INVENTORY MANAGEMENT PROVIDES COMPETITIVE ADVANTAGE AT AMAZON.COM

W hen Jeff Bezos opened his

revolutionary business in 1995,

Amazon.com was intended to

be a “virtual” retailer—no

inventory, no warehouses, no overhead—

just a bunch of computers taking orders and

authorizing others to fill them. Things clearly

didn’t work out that way. Now, Amazon

stocks millions of items of inventory, amid

hundreds of thousands of bins on metal

shelves, in warehouses (seven around the

U.S. and three in Europe) that have twice

the floor space of the Empire State Building.

Precisely managing this massive

inventory has forced Amazon into

becoming a world-class leader in

warehouse management and automation,

with annual sales of over $20 billion to

88 million customers. This profile shows

what goes on to accurately fill orders.

When you place an order at

Amazon.com, not only are you doing

business with an Internet company, you

are doing business with a company that

obtains competitive advantage through

inventory management.

1. You order three items, and a computer in Seattle takes charge. A computer assigns your order—a book, a game, and a digital camera—to one of Amazon’s massive U.S. distribution centers, such as the 750,000-square-foot facility in Coffeyville, Kansas. 2. The “flow meister” in Coffeyville receives your order. She determines which workers go where to fill your order.

3. Rows of red lights show which products are ordered. Workers move from bulb to bulb, retrieving an item from the shelf above and pressing a button that resets the light. This is known as a “pick-to-light” system. This system doubles the picking speed of manual operators and drops the error rate to nearly zero.

4. Your items are put into crates on moving belts. Each item goes into a large green crate that contains many customers’ orders. When full, the crates ride a series of conveyor belts that wind more than 10 miles through the plant at a constant speed of 2.9 feet per second. The bar code on each item is scanned 15 times, by machines and by many of the 600 workers. The goal is to reduce errors to zero—returns are very expensive.

372

5. All three items converge in a chute and then inside a box. All the crates arrive at a central point where bar codes are matched with order numbers to determine who gets what. Your three items end up in a 3-foot-wide chute—one of several thousand—and are placed into a cardboard box with a new bar code that identifies your order. Picking is sequenced to reduce operator travel. 6. Any gifts you’ve chosen are wrapped by hand. Amazon trains an elite group of gift wrappers, each of whom processes 30 packages an hour.

7. The box is packed, taped, weighed, and labeled before leaving the warehouse in a truck. The Coffeyville plant was designed to ship as many as 200,000 pieces a day. About 60% of orders are shipped via the U.S. Postal Service; nearly everything else goes through United Parcel Service.

8. Your order arrives at your doorstep. In one or two days, your order is delivered.

AMAZON.COM �

373

374 PART 3 Managing Operations

VIDEO 12.1 Frito-Lay’s Inventory

LO1: Conduct an ABC analysis 376

LO2: Explain and use cycle counting 378

LO3: Explain and use the EOQ model for independent inventory demand 381

LO4: Compute a reorder point and explain safety stock 387

Chapter 12 Learning Objectives LO5: Apply the production order

quantity model 388

LO6: Explain and use the quantity discount model 391

LO7: Understand service levels and probabilistic inventory models 396

THE IMPORTANCE OF INVENTORY As Amazon.com well knows, inventory is one of the most expensive assets of many companies, representing as much as 50% of total invested capital. Operations managers around the globe have long recognized that good inventory management is crucial. On the one hand, a firm can reduce costs by reducing inventory. On the other hand, production may stop and customers become dissatisfied when an item is out of stock. The objective of inventory management is to strike a balance between inventory investment and customer service. You can never achieve a low-cost strategy without good inventory management.

All organizations have some type of inventory planning and control system. A bank has meth- ods to control its inventory of cash. A hospital has methods to control blood supplies and phar- maceuticals. Government agencies, schools, and, of course, virtually every manufacturing and production organization are concerned with inventory planning and control.

In cases of physical products, the organization must determine whether to produce goods or to purchase them. Once this decision has been made, the next step is to forecast demand, as dis- cussed in Chapter 4. Then operations managers determine the inventory necessary to service that demand. In this chapter, we discuss the functions, types, and management of inventory. We then address two basic inventory issues: how much to order and when to order.

Functions of Inventory Inventory can serve several functions that add flexibility to a firm’s operations. The four func- tions of inventory are:

1. To “decouple” or separate various parts of the production process. For example, if a firm’s supplies fluctuate, extra inventory may be necessary to decouple the production process from suppliers.

Hedging inventories of oil is complicated when onshore storage units are full. This supertanker is the world’s newest kind of inventory warehouse. When oil traders are betting that prices will rise and want to store oil, a supertanker may be used as a warehouse. These huge floating warehouses can stay at sea for months, waiting for a price that makes the hedge successful.

Chapter 12 Inventory Management 375

2. To decouple the firm from fluctuations in demand and provide a stock of goods that will pro- vide a selection for customers. Such inventories are typical in retail establishments.

3. To take advantage of quantity discounts, because purchases in larger quantities may reduce the cost of goods or their delivery.

4. To hedge against inflation and upward price changes (as shown in the supertanker photo).

Types of Inventory To accommodate the functions of inventory, firms maintain four types of inventories: (1) raw material inventory, (2) work-in-process inventory, (3) maintenance/repair/operating supply (MRO) inventory, and (4) finished-goods inventory.

Raw material inventory has been purchased but not processed. This inventory can be used to decouple (i.e., separate) suppliers from the production process. However, the preferred approach is to eliminate supplier variability in quality, quantity, or delivery time so that separa- tion is not needed. Work-in-process (WIP) inventory is components or raw material that have undergone some change but are not completed. WIP exists because of the time it takes for a product to be made (called cycle time). Reducing cycle time reduces inventory. Often this task is not difficult: During most of the time a product is “being made,” it is in fact sitting idle. As Figure 12.1. shows, actual work time, or “run” time, is a small portion of the material flow time, perhaps as low as 5%.

MROs are inventories devoted to maintenance/repair/operating supplies necessary to keep machinery and processes productive. They exist because the need and timing for maintenance and repair of some equipment are unknown. Although the demand for MRO inventory is often a function of maintenance schedules, other unscheduled MRO demands must be anticipated. Finished-goods inventory is completed product awaiting shipment. Finished goods may be inventoried because future customer demands are unknown.

MANAGING INVENTORY Operations managers establish systems for managing inventory. In this section, we briefly exam- ine two ingredients of such systems: (1) how inventory items can be classified (called ABC analysis) and (2) how accurate inventory records can be maintained. We will then look at inven- tory control in the service sector.

ABC Analysis ABC analysis divides on-hand inventory into three classifications on the basis of annual dollar volume. ABC analysis is an inventory application of what is known as the Pareto principle (named after Vilfredo Pareto, a 19th century Italian economist). The Pareto principle states that there are a “critical few and trivial many.” The idea is to establish inventory policies that focus resources on the few critical inventory parts and not the many trivial ones. It is not realistic to monitor inexpensive items with the same intensity as very expensive items.

To determine annual dollar volume for ABC analysis, we measure the annual demand of each inventory item times the cost per unit. Class A items are those on which the annual dollar volume

95% 5%

Input Wait for inspection

Wait to be moved

Move time

Wait in queue for operator

Setup time

Run time

Output

Cycle time

� FIGURE 12.1 The Material Flow Cycle Most of the time that work is in-process (95% of the cycle time) is not productive time.

Raw material inventory Materials that are usually purchased but have yet to enter the manufacturing process.

Work-in-process (WIP) inventory Products or components that are no longer raw materials but have yet to become finished products.

MRO Maintenance, repair, and operating materials.

Finished-goods inventory An end item ready to be sold, but still an asset on the company’s books.

AUTHOR COMMENT Firms must carefully control critical items, keep accurate

records, count inventory regularly, and avoid theft

and damage.

ABC analysis A method for dividing on-hand inventory into three classifications based on annual dollar volume.

376 PART 3 Managing Operations

is high. Although such items may represent only about 15% of the total inventory items, they represent 70% to 80% of the total dollar usage. Class B items are those inventory items of medium annual dollar volume. These items may represent about 30% of inventory items and 15% to 25% of the total value. Those with low annual dollar volume are Class C, which may rep- resent only 5% of the annual dollar volume but about 55% of the total inventory items.

Graphically, the inventory of many organizations would appear as presented in Figure 12.2. An example of the use of ABC analysis is shown in Example 1.

EXAMPLE 1 � ABC analysis for a chip manufacturer

A items 80 70 60 50 40 30 20 10 0

P e rc

e n ta

g e o

f a n n u a l d

o lla

r u sa

g e

10 20 30 40 50 60 70 80 90 100

B items C items

Percentage of inventory items

� FIGURE 12.2 Graphic Representation of ABC Analysis

Silicon Chips, Inc., maker of superfast DRAM chips, wants to categorize its 10 major inventory items using ABC analysis.

APPROACH � ABC analysis organizes the items on an annual dollar-volume basis. Shown below (in columns 1–4) are the 10 items (identified by stock numbers), their annual demands, and unit costs.

SOLUTION � Annual dollar volume is computed in column 5, along with the percentage of the total represented by each item in column 6. Column 7 groups the 10 items into A, B, and C categories.

ABC Calculation

(1)

Item Stock

Number

(2) Percentage of Number

of Items Stocked

(3)

Annual Volume (units)

:

(4)

Unit Cost

(5)

Annual Dollar

Volume

(6) Percentage of

Annual Dollar

Volume

(7)

Class

#10286 20%

1,000 $ 90.00 $ 90,000 38.8% A #11526 500 154.00 77,000 33.2% A

#12760 1,550 17.00 26,350 11.3% B #10867 30% 350 42.86 15,001 6.4% B #10500 1,000 12.50 12,500 5.4% B

#12572 600 14.17 8,502 3.7% C #14075 2,000 .60 1,200 .5% C #01036 50% 100 8.50 850 .4% C #01307 1,200 .42 504 .2% C #10572 250 .60 150 .1% C

8,550 $232,057 100.0%

72%

23%

5%

INSIGHT � The breakdown into A, B, and C categories is not hard and fast. The objective is to try to separate the “important” from the “unimportant.”

LEARNING EXERCISE � The unit cost for Item #10286 has increased from $90.00 to $120.00. How does this impact the ABC analysis? [Answer: The total annual dollar volume increases by $30,000, to $262,057, and the two A items now comprise 75% of that amount.]

RELATED PROBLEMS � 12.1, 12.2, 12.3

EXCEL OM Data File Ch12Ex1.xls can be found at www.pearsonhighered.com/heizer.

AUTHOR COMMENT A, B, and C categories need not be exact. The idea is to

recognize that levels of control should match the risk.

LO1: Conduct an ABC analysis

Chapter 12 Inventory Management 377

Criteria other than annual dollar volume can determine item classification. For instance, antici- pated engineering changes, delivery problems, quality problems, or high unit cost may dictate upgrading items to a higher classification. The advantage of dividing inventory items into classes allows policies and controls to be established for each class.

Policies that may be based on ABC analysis include the following:

1. Purchasing resources expended on supplier development should be much higher for individ- ual A items than for C items.

2. A items, as opposed to B and C items, should have tighter physical inventory control; per- haps they belong in a more secure area, and perhaps the accuracy of inventory records for A items should be verified more frequently.

3. Forecasting A items may warrant more care than forecasting other items.

Better forecasting, physical control, supplier reliability, and an ultimate reduction in safety stock can all result from appropriate inventory management policies. ABC analysis guides the devel- opment of those policies.

Record Accuracy Good inventory policies are meaningless if management does not know what inventory is on hand. Accuracy of records is a critical ingredient in production and inventory systems. Record accuracy allows organizations to focus on those items that are needed, rather than settling for being sure that “some of everything” is in inventory. Only when an organization can determine accurately what it has on hand can it make precise decisions about ordering, scheduling, and shipping.

To ensure accuracy, incoming and outgoing record keeping must be good, as must be stock- room security. A well-organized stockroom will have limited access, good housekeeping, and storage areas that hold fixed amounts of inventory. Bins, shelf space, and parts will be labeled accurately. The U.S. Marines’ approach to improved inventory record accuracy is discussed in the OM in Action box “What the Marines Learned about Inventory from Walmart.”

Cycle Counting Even though an organization may have made substantial efforts to record inventory accurately, these records must be verified through a continuing audit. Such audits are known as cycle counting. Historically, many firms performed annual physical inventories. This practice often meant shutting down the facility and having inexperienced people count parts and material. Inventory records should instead be verified via cycle counting. Cycle counting uses inventory clas- sifications developed through ABC analysis. With cycle counting procedures, items are counted, records are verified, and inaccuracies are periodically documented. The cause of inaccuracies is then traced and appropriate remedial action taken to ensure integrity of the inventory system.

The U.S. Marine Corps knew it had inventory problems. A few years ago, when a soldier at Camp Pendleton, near San Diego, put in an order for a spare part, it took him a week to get it—from the other side of the base. Worse, the Corps had 207 computer systems worldwide. Called the “Rats’ Nest” by Marine techies, most systems didn’t even talk to each other.

To execute a victory over uncontrolled supplies, the Corps studied Walmart, Caterpillar, Inc., and UPS. “We’re in the middle of a revolution,” says General Gary McKissock. McKissock aims to reduce inventory for the Corps by half, saving $200 million, and to shift 2,000 Marines from inventory detail to the battlefield.

By replacing inventory with information, the Corps won’t have to stockpile tons of supplies near the battlefield, as it

did during the Gulf War, only to find it couldn’t keep track of what was in containers. Then there was the Marine policy requiring a 60-day supply of everything. McKissock figured out there was no need to overstock commodity items, like office supplies, that can be obtained anywhere. And with advice from the private sector, the Marines have been upgrading warehouses, adding wireless scanners for real- time inventory placement and tracking. Now, if containers need to be sent into a war zone, they will have radio frequency transponders that, when scanned, will link to a database detailing what’s inside.

Sources: Modern Materials Handling (August 2005): 24–25; and Business- Week (December 24, 2001): 24.

OM in Action � What the Marines Learned about Inventory from Walmart

Cycle counting A continuing reconciliation of inventory with inventory records.

378 PART 3 Managing Operations

EXAMPLE 2 � Cycle counting at a truck manufacturer

A items will be counted frequently, perhaps once a month; B items will be counted less frequently, perhaps once a quarter; and C items will be counted perhaps once every 6 months. Example 2 illus- trates how to compute the number of items of each classification to be counted each day.

At John Deere, two workers fill orders for 3,000 parts from a six-stand carousel system, using a sophisticated computer system. The computer saves time searching for parts and speeds orders in the miles of warehouse shelving. While a worker pulls a part from one carousel, the computer sends the next request to the adjacent carousel.

Cole’s Trucks, Inc., a builder of high-quality refuse trucks, has about 5,000 items in its inventory. It wants to determine how many items to cycle count each day.

APPROACH � After hiring Matt Clark, a bright young OM student, for the summer, the firm determined that it has 500 A items, 1,750 B items, and 2,750 C items. Company policy is to count all A items every month (every 20 working days), all B items every quarter (every 60 working days), and all C items every 6 months (every 120 working days). The firm then allocates some items to be counted each day.

SOLUTION �

Item Class Quantity Cycle Counting Policy

Number of Items Counted per Day

A 500 Each month (20 working days) 500/20 = 25/day B 1,750 Each quarter (60 working days) 1,750/60 = 29/day C 2,750 Every 6 months (120 working days) 2,750/120 = 23/day

77/day

Seventy-seven items are counted each day.

INSIGHT � This daily audit of 77 items is much more efficient and accurate than conducting a massive inventory count once a year.

LEARNING EXERCISE � Cole’s reclassifies some B and C items so there are now 1,500 B items and 3,000 C items. How does this change the cycle count? [Answer: B and C both change to 25 items each per day, for a total of 75 items per day.]

RELATED PROBLEM � 12.4

In Example 2, the particular items to be cycle counted can be sequentially or randomly selected each day. Another option is to cycle count items when they are reordered.

Cycle counting also has the following advantages:

1. Eliminates the shutdown and interruption of production necessary for annual physical inventories.

2. Eliminates annual inventory adjustments. 3. Trained personnel audit the accuracy of inventory.

LO2: Explain and use cycle counting

Chapter 12 Inventory Management 379

Shrinkage Retail inventory that is unaccounted for between receipt and sale.

Pilferage A small amount of theft.

Pharmaceutical distributor McKesson Corp., which is one of Arnold Palmer Hospital’s main suppliers of surgical materials, makes heavy use of bar-code readers to automate inventory control. The device on the warehouse worker’s arm combines a scanner, a computer, and a two- way radio to check orders. With rapid and accurate data, items are easily verified, improving inventory and shipment accuracy.

A handheld reader can scan RFID tags, aiding control of both incoming and outgoing shipments.

4. Allows the cause of the errors to be identified and remedial action to be taken. 5. Maintains accurate inventory records.

Control of Service Inventories Management of service inventories deserves special consideration. Although we may think of the service sector of our economy as not having inventory, that is not always the case. For instance, extensive inventory is held in wholesale and retail businesses, making inventory management cru- cial and often a factor in a manager’s advancement. In the food-service business, for example, control of inventory can make the difference between success and failure. Moreover, inventory that is in transit or idle in a warehouse is lost value. Similarly, inventory damaged or stolen prior to sale is a loss. In retailing, inventory that is unaccounted for between receipt and time of sale is known as shrinkage. Shrinkage occurs from damage and theft as well as from sloppy paperwork. Inventory theft is also known as pilferage. Retail inventory loss of 1% of sales is considered good, with losses in many stores exceeding 3%. Because the impact on profitability is substantial, inven- tory accuracy and control are critical. Applicable techniques include the following:

1. Good personnel selection, training, and discipline: These are never easy but very necessary in food-service, wholesale, and retail operations, where employees have access to directly consumable merchandise.

2. Tight control of incoming shipments: This task is being addressed by many firms through the use of bar-code and radio frequency ID (RFID) systems that read every incoming ship- ment and automatically check tallies against purchase orders. When properly designed, these systems are very hard to defeat. Each item has its own unique stock keeping unit (SKU; pronounced “skew”).

3. Effective control of all goods leaving the facility: This job is accomplished with bar codes on items being shipped, magnetic strips on merchandise, or via direct observation. Direct observation can be personnel stationed at exits (as at Costco and Sam’s Club wholesale stores) and in potentially high-loss areas or can take the form of one-way mirrors and video surveillance.

Successful retail operations require very good store-level control with accurate inventory in its proper location. One recent study found that consumers and clerks could not find 16% of the items at one of the U.S.’s largest retailers—not because the items were out of stock but because they were misplaced (in a backroom, a storage area, or on the wrong aisle). By the researcher’s estimates, major retailers lose 10% to 25% of overall profits due to poor or inaccurate inven- tory records.1

1See E. Malykhina, “Retailers Take Stock,” Information Week (February 7, 2005): 20–22 and A. Raman, N. DeHoratius, and Z. Ton, “Execution: The Missing Link in Retail Operations,” California Management Review 43, no. 3 (Spring 2001): 136–141.

380 PART 3 Managing Operations

INVENTORY MODELS We now examine a variety of inventory models and the costs associated with them.

Independent vs. Dependent Demand Inventory control models assume that demand for an item is either independent of or dependent on the demand for other items. For example, the demand for refrigerators is independent of the demand for toaster ovens. However, the demand for toaster oven components is dependent on the requirements of toaster ovens.

This chapter focuses on managing inventory where demand is independent. Chapter 14 presents dependent demand management.

Holding, Ordering, and Setup Costs Holding costs are the costs associated with holding or “carrying” inventory over time. Therefore, holding costs also include obsolescence and costs related to storage, such as insur- ance, extra staffing, and interest payments. Table 12.1 shows the kinds of costs that need to be evaluated to determine holding costs. Many firms fail to include all the inventory holding costs. Consequently, inventory holding costs are often understated.

Ordering cost includes costs of supplies, forms, order processing, purchasing, clerical sup- port, and so forth. When orders are being manufactured, ordering costs also exist, but they are a part of what is called setup costs. Setup cost is the cost to prepare a machine or process for man- ufacturing an order. This includes time and labor to clean and change tools or holders. Operations managers can lower ordering costs by reducing setup costs and by using such effi- cient procedures as electronic ordering and payment.

In manufacturing environments, setup cost is highly correlated with setup time. Setups usually require a substantial amount of work even before a setup is actually performed at the work center. With proper planning much of the preparation required by a setup can be done prior to shutting down the machine or process. Setup times can thus be reduced substantially. Machines and processes that traditionally have taken hours to set up are now being set up in less than a minute by the more imaginative world-class manufacturers. As we shall see later in this chapter, reducing setup times is an excellent way to reduce inventory investment and to improve productivity.

INVENTORY MODELS FOR INDEPENDENT DEMAND In this section, we introduce three inventory models that address two important questions: when to order and how much to order. These independent demand models are:

1. Basic economic order quantity (EOQ) model 2. Production order quantity model 3. Quantity discount model

Holding cost The cost to keep or carry inventory in stock.

Ordering cost The cost of the ordering process.

Setup cost The cost to prepare a machine or process for production.

Category

Cost (and range) as a Percentage of Inventory Value

Housing costs (building rent or depreciation, operating cost, taxes, insurance) 6% (3–10%) Material handling costs (equipment lease or depreciation, power, operating cost) 3% (1–3.5%) Labor cost (receiving, warehousing, security) 3% (3–5%) Investment costs (borrowing costs, taxes, and insurance on inventory) 11% (6–24%) Pilferage, scrap, and obsolescence (much higher in industries undergoing rapid change like PCs and cell phones) 3% (2–5%)

Overall carrying cost 26%

Note: All numbers are approximate, as they vary substantially depending on the nature of the business, location, and current interest

rates.

�TABLE 12.1 Determining Inventory Holding Costs

Setup time The time required to prepare a machine or process for production.

AUTHOR COMMENT An overall inventory carrying

cost of less than 15% is very unlikely, but this cost

can exceed 40%, especially in high-tech and fashion

industries.

VIDEO 12.2 Inventory Control at Wheeled

Coach Ambulance

Chapter 12 Inventory Management 381

The Basic Economic Order Quantity (EOQ) Model The economic order quantity (EOQ) model is one of the most commonly used inven- tory-control techniques. This technique is relatively easy to use but is based on several assumptions:

1. Demand for an item is known, reasonably constant, and independent of decisions for other items.

2. Lead time—that is, the time between placement and receipt of the order—is known and consistent.

3. Receipt of inventory is instantaneous and complete. In other words, the inventory from an order arrives in one batch at one time.

4. Quantity discounts are not possible. 5. The only variable costs are the cost of setting up or placing an order (setup or ordering cost)

and the cost of holding or storing inventory over time (holding or carrying cost). These costs were discussed in the previous section.

6. Stockouts (shortages) can be completely avoided if orders are placed at the right time.

With these assumptions, the graph of inventory usage over time has a sawtooth shape, as in Figure 12.3. In Figure 12.3, Q represents the amount that is ordered. If this amount is 500 dresses, all 500 dresses arrive at one time (when an order is received). Thus, the inventory level jumps from 0 to 500 dresses. In general, an inventory level increases from 0 to Q units when an order arrives.

Because demand is constant over time, inventory drops at a uniform rate over time. (Refer to the sloped lines in Figure 12.3.) Each time the inventory level reaches 0, the new order is placed and received, and the inventory level again jumps to Q units (represented by the vertical lines). This process continues indefinitely over time.

Minimizing Costs The objective of most inventory models is to minimize total costs. With the assumptions just given, significant costs are setup (or ordering) cost and holding (or carrying) cost. All other costs, such as the cost of the inventory itself, are constant. Thus, if we minimize the sum of setup and holding costs, we will also be minimizing total costs. To help you visualize this, in Figure 12.4 we graph total costs as a function of the order quantity, Q. The optimal order size, Q*, will be the quantity that minimizes the total costs. As the quantity ordered increases, the total number of orders placed per year will decrease. Thus, as the quantity ordered increases, the annual setup or ordering cost will decrease (Figure 12.4[a]). But as the order quantity increases, the holding cost will increase due to the larger average inventories that are main- tained (Figure 12.4[b]).

As we can see in Figure 12.4(c), a reduction in either holding or setup cost will reduce the total cost curve. A reduction in the setup cost curve also reduces the optimal order quantity (lot size). In addition, smaller lot sizes have a positive impact on quality and production flexibility.

In ve

n to

ry le

ve l

Order quantity = Q (maximum inventory

level)

Minimum inventory 0

Time

Average inventory on hand

Q— 2( )

Usage rate Total order received � FIGURE 12.3

Inventory Usage over Time

AUTHOR COMMENT If the maximum we can ever

have is Q (say, 500 units) and the minimum is zero, then if

inventory is used (or sold) on a fairly steady rate, the

average = (Q + 0)/2 = Q/2.

LO3: Explain and use the EOQ model for independent inventory demand

Economic order quantity (EOQ) model An inventory-control technique that minimizes the total of ordering and holding costs.

382 PART 3 Managing Operations

At Toshiba, the $40 billion Japanese conglomerate, workers can make as few as 10 laptop com- puters before changing models. This lot-size flexibility has allowed Toshiba to move toward a “build-to-order” mass customization system, an important ability in an industry that has product life cycles measured in months, not years.

You should note that in Figure 12.4(c), the optimal order quantity occurs at the point where the ordering-cost curve and the carrying-cost curve intersect. This was not by chance. With the EOQ model, the optimal order quantity will occur at a point where the total setup cost is equal to the total holding cost.2 We use this fact to develop equations that solve directly for Q*. The necessary steps are:

1. Develop an expression for setup or ordering cost. 2. Develop an expression for holding cost. 3. Set setup (order) cost equal to holding cost. 4. Solve the equation for the optimal order quantity.

Using the following variables, we can determine setup and holding costs and solve for Q*:

1.

= D

Q S

= ¢D Q ≤(S)= ¢ Annual demandNumber of units in each order≤1Setup or order cost per order2

Annual setup cost = 1Number of orders placed per year2 * 1Setup or order cost per order2

H = Holding or carrying cost per unit per year S = Setup or ordering cost for each order D = Annual demand in units for the inventory item Q* = Optimum number of units per order (EOQ) Q = Number of units per order

Setup (order) cost

Order quantity (a) Annual setup (order) cost (b) Annual holding cost

A n n u a l c

o st

(c) Total costs

Order quantity

A n n u a l c

o st

Holding cost Holding cost

Setup (order) cost

Total cost for holding and setup (order)

Order quantityOptimal order quantity (Q *)

Minimum total cost

A n n u a l c

o st

� FIGURE 12.4 Costs as a Function of Order Quantity AUTHOR COMMENT This graph is the heart of EOQ inventory modeling. We want to find the smallest total cost (top curve), which is the sum

of the two curves below it.

2This is the case when holding costs are linear and begin at the origin—that is, when inventory costs do not decline (or they increase) as inventory volume increases and all holding costs are in small increments. In addition, there is proba- bly some learning each time a setup (or order) is executed—a fact that lowers subsequent setup costs. Consequently, the EOQ model is probably a special case. However, we abide by the conventional wisdom that this model is a reason- able approximation.

Chapter 12 Inventory Management 383

2.

3. Optimal order quantity is found when annual setup (order) cost equals annual holding cost, namely:

4. To solve for Q*, simply cross-multiply terms and isolate Q on the left of the equal sign:

(12-1)

Now that we have derived the equation for the optimal order quantity, Q*, it is possible to solve inventory problems directly, as in Example 3.

Q* = A

2DS

H

Q2 = 2DS

H

2DS = Q2H

D

Q S =

Q

2 H

= ¢Q 2 ≤(H) = Q

2 H

= ¢Order quantity 2

≤1Holding cost per unit per year2Annual holding cost = 1Average inventory level2 * 1Holding cost per unit per year2

� EXAMPLE 3 Finding the optimal order size at Sharp, Inc.

Sharp, Inc., a company that markets painless hypodermic needles to hospitals, would like to reduce its inventory cost by determining the optimal number of hypodermic needles to obtain per order.

APPROACH � The annual demand is 1,000 units; the setup or ordering cost is $10 per order; and the holding cost per unit per year is $.50.

SOLUTION � Using these figures, we can calculate the optimal number of units per order:

INSIGHT � Sharp, Inc., now knows how many needles to order per order. The firm also has a basis for determining ordering and holding costs for this item, as well as the number of orders to be processed by the receiving and inventory departments.

LEARNING EXERCISE � If D increases to 1,200 units, what is the new Q*? [Answer: ]

RELATED PROBLEMS � 12.5, 12.6, 12.7, 12.8, 12.9, 12.12, 12.13, 12.15, 12.35, 12.37

EXCEL OM Data File Ch12Ex3.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 12.1 This example is further illustrated in Active Model 12.1 at www.pearsonhighered.com/heizer.

Q* = 219 units.

Q* = A 211,00021102

0.50 = 240,000 = 200 units

Q* = A

2DS

H

We can also determine the expected number of orders placed during the year (N) and the expected time between orders (T), as follows:

(12-2)

(12-3)

Example 4 illustrates this concept.

Expected time between orders = T = Number of working days per year

N

Expected number of orders = N = Demand

Order quantity = D

Q*

384 PART 3 Managing Operations

EXAMPLE 4 � Computing number of orders and time between orders at Sharp, Inc.

Sharp, Inc. (in Example 3), has a 250-day working year and wants to find the number of orders (N) and the expected time between orders (T).

APPROACH � Using Equations (12-2) and (12-3), Sharp enters the data given in Example 3.

SOLUTION �

INSIGHT � The company now knows not only how many needles to order per order but that the time between orders is 50 days and that there are five orders per year.

LEARNING EXERCISE � If D = 1,200 units instead of 1,000, find N and T. [Answer: ]

RELATED PROBLEMS � 12.12, 12.13, 12.15

N � 5.48, T = 45.62.

= 250 working days per year

5 orders = 50 days between orders

T = Number of working days per year

Expected number of orders

= 1,000

200 = 5 orders per year

N = Demand

Order quantity

As mentioned earlier in this section, the total annual variable inventory cost is the sum of setup and holding costs:

(12-4)

In terms of the variables in the model, we can express the total cost TC as:

(12-5)

Example 5 shows how to use this formula.

TC = D

Q S +

Q

2 H

Total annual cost = Setup 1order2 cost + Holding cost

EXAMPLE 5 � Computing combined cost of ordering and holding

Sharp, Inc. (from Examples 3 and 4), wants to determine the combined annual ordering and holding costs.

APPROACH � Apply Equation (12-5), using the data in Example 3.

SOLUTION �

INSIGHT � These are the annual setup and holding costs. The $100 total does not include the actual cost of goods. Notice that in the EOQ model, holding costs always equal setup (order) costs.

LEARNING EXERCISE � Find the total annual cost if D = 1,200 units in Example 3. [Answer: $109.54.]

RELATED PROBLEMS � 12.9, 12.12, 12.13, 12.14, 12.37b,c

= $50 + $50 = $100 = 1521$102 + 110021$.502

= 1,000

200 1$102 +

200

2 1$.502

TC = D

Q S +

Q

2 H

Inventory costs may also be expressed to include the actual cost of the material purchased. If we assume that the annual demand and the price per hypodermic needle are known values (e.g., 1,000 hypodermics per year at P = $10) and total annual cost should include purchase cost, then Equation (12-5) becomes:

TC = D

Q S +

Q

2 H + PD

Chapter 12 Inventory Management 385

This store takes 4 weeks to get an order for Levis 501 jeans filled by the manufacturer. If the store sells 10 pairs of size 30–32 Levis a week, the store manager could set up two containers, keep 40 pairs of jeans in the second container, and place an order whenever the first container is empty. This would be a fixed-quantity reordering system. It is also called a “two-bin” system and is an example of a very elementary, but effective, approach to inventory management

3The formula for the economic order quantity (Q*) can also be determined by finding where the total cost curve is at a minimum (i.e., where the slope of the total cost curve is zero). Using calculus, we set the derivative of the total cost with respect to Q* equal to 0.

The calculations for finding the minimum of

are

. Thus, Q* = A

2DS

H

d1TC2

dQ = ¢ –DS

Q2 ≤ + H

2 + 0 = 0

TC = D

Q S +

Q

2 H + PD

Robust Giving satisfactory answers even with substantial variation in the parameters.

� EXAMPLE 6 EOQ is a robust model

Management in the Sharp, Inc., examples underestimates total annual demand by 50% (say demand is actually 1,500 needles rather than 1,000 needles) while using the same Q. How will the annual inven- tory cost be impacted?

APPROACH � We will solve for annual costs twice. First, we will apply the wrong EOQ; then we will recompute costs with the correct EOQ.

SOLUTION � If demand in Example 5 is actually 1,500 needles rather than 1,000, but manage- ment uses an order quantity of Q = 200 (when it should be Q = 244.9 based on D = 1,500), the sum of holding and ordering cost increases to $125:

= $75 + $50 = $125

= 1,500

200 1$102 +

200

2 1$.502

Annual cost = D

Q S +

Q

2 H

Because material cost does not depend on the particular order policy, we still incur an annual material cost of (Later in this chapter we will discuss the case in which this may not be true—namely, when a quantity discount is available.)3

Robust Model A benefit of the EOQ model is that it is robust. By robust we mean that it gives satisfactory answers even with substantial variation in its parameters. As we have observed, determining accurate ordering costs and holding costs for inventory is often difficult. Consequently, a robust model is advantageous. Total cost of the EOQ changes little in the neigh- borhood of the minimum. The curve is very shallow. This means that variations in setup costs, holding costs, demand, or even EOQ make relatively modest differences in total cost. Example 6 shows the robustness of EOQ.

D * P = 11,00021$102 = $10,000.

386 PART 3 Managing Operations

We may conclude that the EOQ is indeed robust and that significant errors do not cost us very much. This attribute of the EOQ model is most convenient because our ability to accurately determine demand, holding cost, and ordering cost is limited.

Reorder Points Now that we have decided how much to order, we will look at the second inventory question, when to order. Simple inventory models assume that receipt of an order is instantaneous. In other words, they assume (1) that a firm will place an order when the inventory level for that particular item reaches zero and (2) that it will receive the ordered items immediately. However, the time between placement and receipt of an order, called lead time, or delivery time, can be as short as a few hours or as long as months. Thus, the when-to-order decision is usually expressed in terms of a reorder point (ROP)—the inventory level at which an order should be placed (see Figure 12.5).

The reorder point (ROP) is given as:

(12-6)= d * L

ROP = 1Demand per day2 * 1Lead time for a new order in days2

However, had we known that the demand was for 1,500 with an EOQ of 244.9 units, we would have spent $122.47, as shown:

INSIGHT � Note that the expenditure of $125.00, made with an estimate of demand that was sub- stantially wrong, is only 2% ($2.52/$122.47) higher than we would have paid had we known the actual demand and ordered accordingly. Note also that were it not due to rounding, the annual holding costs and ordering costs would be exactly equal.

LEARNING EXERCISE � Demand at Sharp remains at 1,000, H is still $.50, and we order 200 needles at a time (as in Example 5). But if the true order cost = S = $15 (rather than $10), what is the annual cost? [Answer: Annual order cost increases to $75, and annual holding cost stays at $50. So the total cost = $125.]

RELATED PROBLEMS � 12.8b, 12.14

= $61.25 + $61.22 = $122.47

= 6.1251$102 + 122.451$.502

Annual cost = 1,500

244.9 1$102 +

244.9

2 1$.502

Slope = units/day = d

Resupply takes place as order arrives

Lead time = L

Q *

In ve

n to

ry le

ve l (

u n its

)

Time (days)

ROP (units)

0

� FIGURE 12.5 The Reorder Point (ROP) Q* is the optimum order quantity, and lead time represents the time between placing and receiving an order.

Lead time In purchasing systems, the time between placing an order and receiving it; in production systems, the wait, move, queue, setup, and run times for each component produced.

Reorder point (ROP) The inventory level (point) at which action is taken to replenish the stocked item.

Chapter 12 Inventory Management 387

This equation for ROP assumes that demand during lead time and lead time itself are constant. When this is not the case, extra stock, often called safety stock, should be added.

The demand per day, d, is found by dividing the annual demand, D, by the number of working days in a year:

Computing the reorder point is demonstrated in Example 7.

d = D

Number of working days in a year

Safety stock Extra stock to allow for uneven demand; a buffer.

� EXAMPLE 7 Computing reorder points (ROP) for iPods

An Apple distributor has a demand for 8,000 iPods per year. The firm operates a 250-day working year. On average, delivery of an order takes 3 working days. It wants to calculate the reorder point.

APPROACH � Compute the daily demand and then apply Equation (12-6).

SOLUTION �

INSIGHT � Thus, when iPod inventory stock drops to 96 units, an order should be placed. The order will arrive 3 days later, just as the distributor’s stock is depleted.

LEARNING EXERCISE � If there are only 200 working days per year, what is the correct ROP? [Answer: 120 iPods.]

RELATED PROBLEMS � 12.9d, 12.10, 12.11, 12.13f

= 96 units ROP = Reorder point = d * L = 32 units per day * 3 days

= 32 units

d = D

Number of working days in a year =

8,000

250

Safety stock is especially important in firms whose raw material deliveries may be uniquely unreliable. For example, San Miguel Corp. in the Philippines uses cheese curd imported from Europe. Because the normal mode of delivery is highly variable, safety stock may be substantial.

Production Order Quantity Model In the previous inventory model, we assumed that the entire inventory order was received at one time. There are times, however, when the firm may receive its inventory over a period of time. Such cases require a different model, one that does not require the instantaneous-receipt assump- tion. This model is applicable under two situations: (1) when inventory continuously flows or builds up over a period of time after an order has been placed or (2) when units are produced and sold simultaneously. Under these circumstances, we take into account daily production (or inventory-flow) rate and daily demand rate. Figure 12.6 shows inventory levels as a function of time (and inventory dropping to zero between orders).

LO4: Compute a reorder point and explain safety stock

t

Demand part of cycle with no production (only usage takes place)

Part of inventory cycle during which production (and usage) takes place

Maximum inventory

In ve

n to

ry le

ve l

Time

� FIGURE 12.6

Change in Inventory Levels over Time for the Production Model

AUTHOR COMMENT Note that inventory buildup is

not instantaneous but gradual. So the formula

reduces the average inventory and thus the holding cost by

the ratio of that buildup.

388 PART 3 Managing Operations

Because this model is especially suitable for the production environment, it is commonly called the production order quantity model. It is useful when inventory continuously builds up over time, and traditional economic order quantity assumptions are valid. We derive this model by setting ordering or setup costs equal to holding costs and solving for optimal order size, Q*. Using the following symbols, we can determine the expression for annual inventory holding cost for the production order quantity model:

1.

2.

3.

However, Therefore:

4. Annual inventory holding cost (or simply holding cost) =

Maximum inventory level

2 1H2 =

Q

2 C1 - ¢d

p ≤ SH

= Q¢1 - d p ≤ Maximum inventory level = p¢Qp≤ - d¢Qp≤ = Q - dpQ

Q = total produced = pt, and thus t = Q/P.

= pt - dt

¢ Maximum inventory level

≤ = ¢Total production during the production run

≤ - ¢ Total used during the production run

≤1Average inventory level2 = 1Maximum inventory level2>2 ¢Annual inventory

holding cost ≤ = (Average inventory level) * ¢ Holding cost

per unit per year ≤t = Length of the production run in daysd = Daily demand rate, or usage rate

p = Daily production rate H = Holding cost per unit per year Q = Number of units per order

Production order quantity model An economic order quantity technique applied to production orders.

Each order may require a change in the way a machine or process is set up. Reducing setup time usually means a reduction in setup cost; and reductions in setup costs make smaller batches (lots) economical to produce. Increasingly, set up (and operation) is performed by computer-controlled machines, such as this one, operating from previously written programs.

LO5: Apply the production order quantity model

Chapter 12 Inventory Management 389

Using this expression for holding cost and the expression for setup cost developed in the basic EOQ model, we solve for the optimal number of pieces per order by equating setup cost and holding cost:

Set ordering cost equal to holding cost to obtain

(12-7)

In Example 8, we use the above equation, , to solve for the optimum order or production quantity when inventory is consumed as it is produced.

Q*p

Q*p = A

2DS

H[1 - 1d>p2]

Q2 = 2DS

H31 - 1d>p24

D

Q S = 12 HQ31 - 1d>p24

Q*p:

Holding cost = 12HQ31 - 1d>p24

Setup cost = 1D>Q2S

� EXAMPLE 8 A production order quantity model

Nathan Manufacturing, Inc., makes and sells specialty hubcaps for the retail automobile aftermarket. Nathan’s forecast for its wire-wheel hubcap is 1,000 units next year, with an average daily demand of 4 units. However, the production process is most efficient at 8 units per day. So the company produces 8 per day but uses only 4 per day. The company wants to solve for the optimum number of units per order. (Note: This plant schedules production of this hubcap only as needed, during the 250 days per year the shop operates.)

APPROACH � Gather the cost data and apply Equation (12-7):

SOLUTION �

INSIGHT � The difference between the production order quantity model and the basic EOQ model is the annual holding cost, which is reduced in the production order quantity model.

LEARNING EXERCISE � If Nathan can increase its daily production rate from 8 to 10, how does change? [Answer:

RELATED PROBLEMS � 12.16, 12.17, 12.18, 12.39

EXCEL OM Data File Ch12Ex8.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 12.2 This example is further illustrated in Active Model 12.2 at www.pearsonhighered.com/heizer.

Q*p = 258.]Q*p

= 282.8 hubcaps, or 283 hubcaps

= A

20,000 0.5011>22

= 280,000

Q*p = A 211,00021102

0.5031 - 14>824

Q*p = A

2DS

H31 - 1d>p24

Daily demand rate = d = 4 units daily

Daily production rate = p = 8 units daily

Holding cost = H = $0.50 per unit per year

Setup costs = S = $10

Annual demand = D = 1,000 units

390 PART 3 Managing Operations

You may want to compare this solution with the answer in Example 3, which had identical D, S, and H values. Eliminating the instantaneous-receipt assumption, where p = 8 and d = 4, resulted in an increase in Q* from 200 in Example 3 to 283 in Example 8. This increase in Q* occurred because holding cost dropped from $.50 to [ ], making a larger order quantity optimal. Also note that:

We can also calculate when annual data are available. When annual data are used, we can express as:

(12-8)

Quantity Discount Models To increase sales, many companies offer quantity discounts to their customers. A quantity dis- count is simply a reduced price (P) for an item when it is purchased in larger quantities. Discount schedules with several discounts for large orders are common. A typical quantity dis- count schedule appears in Table 12.2. As can be seen in the table, the normal price of the item is $5. When 1,000 to 1,999 units are ordered at one time, the price per unit drops to $4.80; when the quantity ordered at one time is 2,000 units or more, the price is $4.75 per unit. As always, man- agement must decide when and how much to order. However, with an opportunity to save money on quantity discounts, how does the operations manager make these decisions?

Q*p =

Q

2DS

H¢1 - Annual demand rate Annual production rate

≤Q*p Q*p

d = 4 = D

Number of days the plant is in operation =

1,000

250

$.50 * (1 - d/p)

Milton Bradley, a division of Hasbro, Inc., has been manufacturing toys for 150 years. Founded by Milton Bradley in 1860, the company started by making a lithograph of Abraham Lincoln. Using his printing skills, Bradley developed games, including the Game of Life, Chutes and Ladders, Candy Land, Scrabble, and Lite Brite. Today, the company produces hundreds of games, requiring billions of plastic parts.

Once Milton Bradley has determined the optimal quantities for each production run, it must make them and assemble them as a part of the proper game. Some games require literally hundreds of plastic parts, including spinners, hotels, people, animals, cars, and so on. According to Gary Brennan, director of manufacturing, getting the right number of pieces to the right toys and production lines is the most important issue for the credibility of the company. Some orders can require 20,000 or more perfectly assembled games delivered to their warehouses in a matter of days.

Games with the incorrect number of parts and pieces can result in some very unhappy customers. It is also

time-consuming and expensive for Milton Bradley to supply the extra parts or to have toys or games returned. When shortages are found during the assembly stage, the entire production run is

stopped until the problem is corrected. Counting parts by hand or machine is not always accurate. As a result, Milton Bradley now weighs pieces and completed games to determine if the correct number of parts have been included. If the weight is not exact, there is a problem that is resolved before shipment. Using highly accurate digital scales, Milton Bradley is now able to get the right parts in the right game at the right time. Without this simple innovation, the most sophisticated production schedule is meaningless.

Sources: The Wall Street Journal (April 15, 1999): B1; Plastics World (March 1997): 22–26; and Modern Materials Handling (September 1997): 55–57.

OM in Action � Inventory Accuracy at Milton Bradley

Discount Number Discount Quantity Discount (%)

Discount Price (P)

1 0 to 999 no discount $5.00 2 1,000 to 1,999 4 $4.80 3 2,000 and over 5 $4.75

Quantity discount A reduced price for items purchased in large quantities.

AUTHOR COMMENT Think of the discount model as the EOQ model run once

for each of the discount price levels offered.

� TABLE 12.2 A Quantity Discount Schedule

Chapter 12 Inventory Management 391

As with other inventory models discussed so far, the overall objective is to minimize total cost. Because the unit cost for the third discount in Table 12.2 is the lowest, you may be tempted to order 2,000 units or more merely to take advantage of the lower product cost. Placing an order for that quantity, however, even with the greatest discount price, may not minimize total inventory cost. Granted, as discount quantity goes up, the product cost goes down. However, holding cost increases because orders are larger. Thus the major trade-off when considering quantity discounts is between reduced product cost and increased holding cost. When we include the cost of the product, the equation for the total annual inventory cost can be calculated as follows:

or

(12-9)

where

Now, we have to determine the quantity that will minimize the total annual inventory cost. Because there are several discounts, this process involves four steps:

STEP 1: For each discount, calculate a value for optimal order size Q*, using the following equation:

(12-10)

Note that the holding cost is IP instead of H. Because the price of the item is a factor in annual holding cost, we cannot assume that the holding cost is a constant when the price per unit changes for each quantity discount. Thus, it is common to express the holding cost as a percent (I) of unit price (P) instead of as a constant cost per unit per year, H.

STEP 2: For any discount, if the order quantity is too low to qualify for the discount, adjust the order quantity upward to the lowest quantity that will qualify for the discount. For example, if Q* for discount 2 in Table 12.2 were 500 units, you would adjust this value up to 1,000 units. Look at the second discount in Table 12.2. Order quantities between 1,000 and 1,999 will qualify for the 4% discount. Thus, if Q* is below 1,000 units, we will adjust the order quantity up to 1,000 units.

The reasoning for Step 2 may not be obvious. If the order quantity, Q*, is below the range that will qualify for a discount, a quantity within this range may still result in the lowest total cost.

As shown in Figure 12.7, the total cost curve is broken into three different total cost curves. There is a total cost curve for the first ( ), second ( ), and third ( ) discount. Look at the total cost (TC) curve for discount 2. Q* for discount 2 is less than the allowable discount range, which is from 1,000 to 1,999 units. As the figure shows, the lowest allowable quan- tity in this range, which is 1,000 units, is the quantity that minimizes total cost. Thus, the second step is needed to ensure that we do not discard an order quantity that may indeed produce the minimum cost. Note that an order quantity computed in step 1 that is greater than the range that would qualify it for a discount may be discarded.

STEP 3: Using the preceding total cost equation, compute a total cost for every Q* determined in Steps 1 and 2. If you had to adjust Q* upward because it was below the allowable quantity range, be sure to use the adjusted value for Q*.

STEP 4: Select the Q* that has the lowest total cost, as computed in Step 3. It will be the quan- tity that will minimize the total inventory cost.

Q Ú 2,0001,000 … Q … 1,999 0 … Q … 999

Q* = A

2DS

IP

H = Holding cost per unit per year P = Price per unit S = Ordering or setup cost per order D = Annual demand in units Q = Quantity ordered

TC = D

Q S +

Q

2 H + PD

Total cost = Ordering (setup) cost + Holding cost + Product cost

LO6: Explain and use the quantity discount model

392 PART 3 Managing Operations

T o ta

l c o st

( d o lla

rs )

Total cost curve for discount 3

Total cost curve for discount 1

Total cost curve for discount 2

Q* for discount 2 is below the allowable range at point a and must be adjusted upward to 1,000 units at point b.

1st price break

2nd price break

a

b

0 1,000 2,000

Order quantity

� FIGURE 12.7 Total Cost Curve for the Quantity Discount Model

EXAMPLE 9 � Quantity discount model

Wohl’s Discount Store stocks toy race cars. Recently, the store has been given a quantity discount schedule for these cars. This quantity schedule was shown in Table 12.2. Thus, the normal cost for the toy race cars is $5.00. For orders between 1,000 and 1,999 units, the unit cost drops to $4.80; for orders of 2,000 or more units, the unit cost is only $4.75. Furthermore, ordering cost is $49.00 per order, annual demand is 5,000 race cars, and inventory carrying charge, as a percent of cost, I, is 20%, or .2. What order quantity will minimize the total inventory cost?

APPROACH � We will follow the four steps just outlined for a quantity discount model.

SOLUTION � The first step is to compute Q* for every discount in Table 12.2. This is done as follows:

The second step is to adjust upward those values of Q* that are below the allowable discount range. Since is between 0 and 999, it need not be adjusted. Because is below the allowable range of 1,000 to 1,999, it must be adjusted to 1,000 units. The same is true for : It must be adjusted to 2,000 units. After this step, the following order quantities must be tested in the total cost equation:

The third step is to use Equation (12-9) and compute a total cost for each order quantity. This step is taken with the aid of Table 12.3, which presents the computations for each level of discount introduced in Table 12.2.

Q*3 = 2,000 — adjusted Q*2 = 1,000 — adjusted Q*1 = 700

Q*3

Q*2Q*1

Q*3 = A 215,00021492

1.2214.752 = 718 cars per order

Q*2 = A 215,00021492

1.2214.802 = 714 cars per order

Q*1 = A 215,00021492

1.2215.002 = 700 cars per order

Discount Number

Unit Price

Order Quantity

Annual Product

Cost

Annual Ordering

Cost

Annual Holding

Cost Total

1 $5.00 700 $25,000 $350 $350 $25,700 2 $4.80 1,000 $24,000 $245 $480 $24,725 3 $4.75 2,000 $23,750 $122.50 $950 $24,822.50

AUTHOR COMMENT Don’t forget to adjust order

quantity upward if the quantity is too low to qualify

for the discount.

�TABLE 12.3 Total Cost Computations for Wohl’s Discount Store

The fourth step is to select that order quantity with the lowest total cost. Looking at Table 12.3, you can see that an order quantity of 1,000 toy race cars will minimize the total cost. You should see, however, that the total cost for ordering 2,000 cars is only slightly greater than the total cost for ordering 1,000

Let us see how this procedure can be applied with an example.

Chapter 12 Inventory Management 393

cars. Thus, if the third discount cost is lowered to $4.65, for example, then this quantity might be the one that minimizes total inventory cost.

INSIGHT � The quantity discount model’s third cost factor, annual product cost, is now a major variable with impact on the final cost and decision. It takes substantial increases in order and holding costs to compensate for a large quantity price break.

LEARNING EXERCISE � Wohl’s has just been offered a third price break. If it orders 2,500 or more cars at a time, the unit cost drops to $4.60. What is the optimal order quantity now? [Answer:

, for a total cost of $24,248.]

RELATED PROBLEMS � 12.19, 12.20, 12.21, 12.22, 12.23, 12.24, 12.25

EXCEL OM Data File Ch12Ex9.xls can be found at www.pearsonhighered.com/heizer.

Q*4 = 2,500

PROBABILISTIC MODELS AND SAFETY STOCK All the inventory models we have discussed so far make the assumption that demand for a prod- uct is constant and certain. We now relax this assumption. The following inventory models apply when product demand is not known but can be specified by means of a probability distribution. These types of models are called probabilistic models.

An important concern of management is maintaining an adequate service level in the face of uncertain demand. The service level is the complement of the probability of a stockout. For instance, if the probability of a stockout is 0.05, then the service level is .95. Uncertain demand raises the possibility of a stockout. One method of reducing stockouts is to hold extra units in inventory. As we noted, such inventory is usually referred to as safety stock. It involves adding a number of units as a buffer to the reorder point. As you recall from our previous discussion:

where Order lead time, or number of working days it takes to deliver an order

The inclusion of safety stock (ss) changes the expression to:

(12-11)

The amount of safety stock maintained depends on the cost of incurring a stockout and the cost of holding the extra inventory. Annual stockout cost is computed as follows:

(12-12)

Example 10 illustrates this concept.

Annual stockout costs = The sum of the units short for each demand level * The probability of that demand level * The stockout cost>unit

* The number of orders per year

ROP = d * L + ss

L = d = Daily demand

Reorder point = ROP = d * L

Probabilistic model A statistical model applicable when product demand or any other variable is not known but can be specified by means of a probability distribution.

Service level The complement of the probability of a stockout.

AUTHOR COMMENT Probabilistic models are a

real-world adjustment because demand and lead

time won’t always be known and constant.

David Rivera Optical has determined that its reorder point for eyeglass frames is 50 ( ) units. Its carrying cost per frame per year is $5, and stockout (or lost sale) cost is $40 per frame. The store has experienced the following probability distribution for inventory demand during the lead time (reorder period). The optimum number of orders per year is six.

d * L

Number of Units Probability

30 .2 40 .2

ROP : 50 .3 60 .2 70 .1

1.0

� EXAMPLE 10 Determining safety stock with probabilistic demand and constant lead time

394 PART 3 Managing Operations

How much safety stock should David Rivera keep on hand?

APPROACH � The objective is to find the amount of safety stock that minimizes the sum of the additional inventory holding costs and stockout costs. The annual holding cost is simply the holding cost per unit multiplied by the units added to the ROP. For example, a safety stock of 20 frames, which implies that the new ROP, with safety stock, is , raises the annual carrying cost by $5(20) = $100.

However, computing annual stockout cost is more interesting. For any level of safety stock, stockout cost is the expected cost of stocking out. We can compute it, as in Equation (12-12), by multiplying the number of frames short (Demand ROP) by the probability of demand at that level, by the stockout cost, by the number of times per year the stockout can occur (which in our case is the number of orders per year). Then we add stockout costs for each possible stockout level for a given ROP.

SOLUTION � We begin by looking at zero safety stock. For this safety stock, a shortage of 10 frames will occur if demand is 60, and a shortage of 20 frames will occur if the demand is 70. Thus the stockout costs for zero safety stock are:

The following table summarizes the total costs for each of the three alternatives:

110 frames short21.221$40 per stockout216 possible stockouts per year2

+ 120 frames short21.121$402162 = $960

-

701= 50 + 202

Safety Stock

Additional Holding Cost Stockout Cost

Total Cost

20 (20) ($5) = $100 $ 0 $100 10 (10) ($5) = $ 50 (10) (.1) ($40) (6) = $240 $290 0 $ 0 (10) (.2) ($40) (6) + (20) (.1) ($40) (6) = $960 $960

The safety stock with the lowest total cost is 20 frames. Therefore, this safety stock changes the reorder point to frames.

INSIGHT � The optical company now knows that a safety stock of 20 frames will be the most eco- nomical decision.

LEARNING EXERCISE � David Rivera’s holding cost per frame is now estimated to be $20, while the stockout cost is $30 per frame. Does the reorder point change? [Answer: Safety stock = 10 now, with a total cost of $380, which is the lowest of the three. ROP = 60 frames.]

RELATED PROBLEMS � 12.29, 12.30, 12.31

50 + 20 = 70

When it is difficult or impossible to determine the cost of being out of stock, a manager may decide to follow a policy of keeping enough safety stock on hand to meet a prescribed customer service level. For instance, Figure 12.8 shows the use of safety stock when demand (for hospital resuscitation kits) is probabilistic. We see that the safety stock in Figure 12.8 is 16.5 units, and the reorder point is also increased by 16.5.

The manager may want to define the service level as meeting 95% of the demand (or, conversely, having stockouts only 5% of the time). Assuming that demand during lead time (the reorder period) follows a normal curve, only the mean and standard deviation are needed to define the inventory requirements for any given service level. Sales data are usu- ally adequate for computing the mean and standard deviation. In the following example we use a normal curve with a known mean ( ) and standard deviation ( ) to determine the reorder point and safety stock necessary for a 95% service level. We use the following formula:

(12-13)

where sdLT = Standard deviation of demand during lead time Z = Number of standard deviations

ROP = Expected demand during lead time + ZsdLT

sm

Chapter 12 Inventory Management 395

ROP = 350 + safety stock of 16.5 = 366.5

Expected demand during lead time (350 kits)

Safety stock

Normal distribution probability of demand during lead time

Mean demand during lead time

Maximum demand during lead time

Minimum demand during lead time

ROP (reorder point)

In ve

n to

ry le

ve l

Lead time

Time 0

Receive order

Place order

16.5 units

Risk of stockout

� FIGURE 12.8 Probabilistic Demand for a Hospital Item Expected number of kits needed during lead time is 350, but for a 95% service level, the reorder point should be raised to 366.5.

Memphis Regional Hospital stocks a “code blue” resuscitation kit that has a normally distributed demand during the reorder period. The mean (average) demand during the reorder period is 350 kits, and the standard deviation is 10 kits. The hospital administrator wants to follow a policy that results in stockouts only 5% of the time.

(a) What is the appropriate value of Z? (b) How much safety stock should the hospital maintain? (c) What reorder point should be used?

APPROACH � The hospital determines how much inventory is needed to meet the demand 95% of the time. The figure in this example may help you visualize the approach. The data are as follows:

Z = Number of standard normal deviations sdLT = Standard deviation of demand during lead time = 10 kits m = Mean demand = 350 kits

Mean demand

350

ROP = ? kits Quantity

0 z

Safety stock

Number of standard deviations

Risk of a stockout (5% of area of normal curve)

Probability of no stockout

95% of the time

SOLUTION � a. We use the properties of a standardized normal curve to get a Z-value for an area under the normal

curve of .95 (or ). Using a normal table (see Appendix I), we find a Z-value of 1.65 standard deviations from the mean.

b. Because:

and:

then: (12-14)Safety stock = ZsdLT

Z = x - m sdLT

Safety stock = x - m

1 - .05

AUTHOR COMMENT Recall that the service

level is 1 minus the risk of a stockout.

� EXAMPLE 11 Safety stock with probabilistic demand

396 PART 3 Managing Operations

Solving for safety stock, as in Equation (12-14), gives:

This is the situation illustrated in Figure 12.8. c. The reorder point is:

INSIGHT � The cost of the inventory policy increases dramatically (exponentially) with an increase in service levels.

LEARNING EXERCISE � What policy results in stockouts 10% of the time? [Answer: safety stock ROP kits.]

RELATED PROBLEMS � 12.27, 12.28, 12.40

= 363= 12.8;Z = 1.28;

= 350 kits + 16.5 kits of safety stock = 366.5, or 367 kits ROP = Expected demand during lead time + Safety stock

Safety stock = 1.651102 = 16.5 kits

Other Probabilistic Models Equations (12-13) and (12-14) assume that both an estimate of expected demand during lead times and its standard deviation are available. When data on lead time demand are not at hand, these formulas cannot be applied. However, three other models are available. We need to deter- mine which model to use for three situations:

1. Demand is variable and lead time is constant 2. Lead time is variable, and demand is constant 3. Both demand and lead time are variable

All three models assume that demand and lead time are independent variables. Note that our examples use days, but weeks can also be used. Let us examine these three situations separately, because a different formula for the ROP is needed for each.

Demand Is Variable and Lead Time Is Constant When only the demand is variable, then:

(12-15)

where

and sd = Standard deviation of demand per day

sdLT = Standard deviation of demand during lead time = sd2Lead time

ROP = 1Average daily demand * Lead time in days2 + ZsdLT

LO7: Understand service levels and probabilistic inventory models

The average daily demand for Apple iPods at a Circuit Town store is 15, with a standard deviation of 5 units. The lead time is constant at 2 days. Find the reorder point if management wants a 90% service level (i.e., risk stockouts only 10% of the time). How much of this is safety stock?

APPROACH � Apply Equation (12-15) to the following data: Average daily demand (normally distributed) Lead time in days (constant) Standard deviation of daily demand Service level

SOLUTION � From the normal table (Appendix I), we derive a Z-value for 90% of 1.28. Then:

Thus, safety stock is about 9 iPods.

INSIGHT � The value of Z depends on the manager’s stockout risk level. The smaller the risk, the higher the Z.

LEARNING EXERCISE � If the Circuit Town manager wants a 95% service level, what is the new ROP? [Answer: , or 42.]

RELATED PROBLEM � 12.32

ROP = 41.63

= 30 + 1.2815211.412 = 30 + 9.02 = 39.02 � 39 = 30 + 1.281521222

ROP = 115 units * 2 days2 + Zsd2Lead time

= 90% = sd = 5

= 2 = 15

EXAMPLE 12 � ROP for variable demand and constant lead time

Chapter 12 Inventory Management 397

Lead Time Is Variable and Demand Is Constant When the demand is constant and only the lead time is variable, then:

(12-16)

where sLT = Standard deviation of lead time in days

ROP = 1Daily demand * Average lead time in days2 + Z1Daily demand2 * sLT

� EXAMPLE 13 ROP for constant demand and variable lead time

The Circuit Town store in Example 12 sells about 10 digital cameras a day (almost a constant quantity). Lead time for camera delivery is normally distributed with a mean time of 6 days and a standard devi- ation of 3 days. A 98% service level is set. Find the ROP.

APPROACH � Apply Equation (12-16) to the following data: Daily demand Average lead time days Standard deviation of lead time days Service level so Z (from Appendix I)

SOLUTION � From the equation we get:

The reorder point is about 122 cameras.

INSIGHT � Note how the very high service level of 98% drives the ROP up.

LEARNING EXERCISE � If a 90% service level is applied, what does the ROP drop to? [Answer: since the Z-value is only 1.28.]

RELATED PROBLEM � 12.33

ROP = 60 + 11.2821102132 = 60 + 38.4 = 98.4,

= 60 + 61.65 = 121.65

ROP = 110 units * 6 days2 + 2.055110 units2132

= 2.055= 98%, = sLT = 3

= 6 = 10

Both Demand and Lead Time Are Variable When both the demand and lead time are variable, the formula for reorder point becomes more complex4:

(12-17)

where

and sdLT = 21Average lead time * sd 22 + 1Average daily demand22sLT 2 sLT = Standard deviation of lead time in days

sd = Standard deviation of demand per day

ROP = 1Average daily demand * Average lead time2 + ZsdLT

4Refer to S. Narasimhan, D. W. McLeavey, and P. Billington, Production Planning and Inventory Control, 2nd ed. (Upper Saddle River, NJ: Prentice Hall, 1995), Chap. 6, for details. Note that Equation (12-17) can also be expressed as

ROP = Average daily demand * Average lead time + Z21Average lead time * sd 22 + d 2 sLT

2 .

The Circuit Town store’s most popular item is six-packs of 9-volt batteries. About 150 packs are sold per day, following a normal distribution with a standard deviation of 16 packs. Batteries are ordered from an out-of-state distributor; lead time is normally distributed with an average of 5 days and a stan- dard deviation of 1 day. To maintain a 95% service level, what ROP is appropriate?

APPROACH � Determine a quantity at which to reorder by applying Equation (12-17) to the fol- lowing data:

Average daily demand packs Standard deviation of demand packs Average lead time days Standard deviation of lead time day Service level so (from Appendix I)

SOLUTION � From the equation we compute:

ROP = 1150 packs * 5 days2 + 1.65 sdLT

Z = 1.65= 95%, = sLT = 1

= 5 = sd = 16

= 150

� EXAMPLE 14 ROP for variable demand and variable lead time

398 PART 3 Managing Operations

where

So

INSIGHT � When both demand and lead time are variable, the formula looks quite complex. But it is just the result of squaring the standard deviations in Equations (12-15) and (12-16) to get their vari- ances, then summing them, and finally taking the square root.

LEARNING EXERCISE � For an 80% service level, what is the ROP? [Answer: and packs.]

RELATED PROBLEM � 12.34

ROP = 879 Z = .84

ROP = 1150 * 52 + 1.6511542 � 750 + 254 = 1,004 packs

= 21,280 + 22,500 = 223,780 � 154

= 215 * 2562 + 122,500 * 12

sdLT = 215 days * 1622 + 11502 * 12)

SINGLE-PERIOD MODEL A single-period inventory model describes a situation in which one order is placed for a product. At the end of the sales period, any remaining product has little or no value. This is a typical problem for Christmas trees, seasonal goods, bakery goods, newspapers, and maga- zines. (Indeed, this inventory issue is often called the “newsstand problem.”) In other words, even though items at a newsstand are ordered weekly or daily, they cannot be held over and used as inventory in the next sales period. So our decision is how much to order at the begin- ning of the period.

Because the exact demand for such seasonal products is never known, we consider a probabil- ity distribution related to demand. If the normal distribution is assumed, and we stocked and sold an average (mean) of 100 Christmas trees each season, then there is a 50% chance we would stock out and a 50% chance we would have trees left over. To determine the optimal stocking policy for trees before the season begins, we also need to know the standard deviation and con- sider these two marginal costs:

The service level, that is, the probability of not stocking out, is set at:

(12-18)

Therefore, we should consider increasing our order quantity until the service level is less than or equal to the ratio of

This model, illustrated in Example 15, is used in many service industries, from hotels to air- lines to bakeries to clothing retailers.

3Cs>(Cs + Co).4

Service level = Cs

Cs + Co

Co = Cost of overage 1we overestimated2 = Cost>unit - Salvage value>unit 1if there is any2 Cs = Cost of shortage 1we underestimated2 = Sales price>unit - Cost>unit

Single-period inventory model A system for ordering items that have little or no value at the end of a sales period.

Chris Ellis’s newsstand, just outside the Smithsonian subway station in Washington, DC, usually sells 120 copies of the Washington Post each day. Chris believes the sale of the Post is normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells for $1.25. The Post gives him a 30-cent credit for each unsold paper. He wants to determine how many papers he should order each day and the stockout risk for that quantity.

APPROACH � Chris’s data are as follows:

Chris will apply Equation (12-18) and the normal table, using and s = 15.m = 120

Co = cost of overage = $.70 - $.30 1salvage value2 = $.40 Cs = cost of shortage = $1.25 - $.70 = $.55

EXAMPLE 15 � Single-period inventory decision

Chapter 12 Inventory Management 399

SOLUTION �

a) Service level =

b) Chris needs to find the Z score for his normal distribution that yields a probability of .578.

Cs Cs + Co

= .55

.55 + .40 =

.55

.95 = .578

� = 120

� = 15 copies

Service level

57.8%

Optimal stocking level

So 57.8% of the area under the normal curve must be to the left of the optimal stocking level.

c) Using Appendix I5, for an area of .578, the Z value

The stockout risk if Chris orders 123 copies of the Post each day is 1 – service level = 1 – .578 = .422 = 42.2%.

INSIGHT � If the service level is ever under .50, Chris should order fewer than 120 copies per day.

LEARNING EXERCISE � How does Chris’s decision change if the Post changes its policy and offers no credit for unsold papers, a policy many publishers are adopting? [Answer: Service level . Therefore, stock or 118 papers].

RELATED PROBLEMS � 12.36, 12.37 12.38

120 + 1- .1521152 = 117.75= .44, Z = - .15

= 120 + 1.2021152 = 120 + 3 = 123 papers Then, the optimal stocking level = 120 copies + 1.2021s2

� .20.

5Alternatively, Microsoft Excel’s NORMSINV (probability) function can be applied. 6Some in OM call these continuous review systems.

FIXED-PERIOD (P ) SYSTEMS The inventory models that we have considered so far are fixed-quantity, or Q, systems. That is, the same fixed amount is added to inventory every time an order for an item is placed. We saw that orders are event triggered. When inventory decreases to the reorder point (ROP), a new order for Q units is placed.

To use the fixed-quantity model, inventory must be continuously monitored.6 This requires a perpetual inventory system. Every time an item is added to or withdrawn from inventory, records must be updated to determine whether the ROP has been reached.

In a fixed-period system (also called a periodic review, or P system), on the other hand, inventory is ordered at the end of a given period. Then, and only then, is on-hand inventory counted. Only the amount necessary to bring total inventory up to a prespecified target level (T ) is ordered. Figure 12.9 illustrates this concept.

AUTHOR COMMENT A fixed-period model orders

a different quantity each time.

Fixed-quantity (Q) system An ordering system with the same order amount each time.

Perpetual inventory system A system that keeps track of each withdrawal or addition to inventory continuously, so records are always current.

Fixed-period (P) system A system in which inventory orders are made at regular time intervals.

P

Q1

Q2

Q 3

Q4

P

P

O n -h

a n d

in ve

n to

ry

Time

Target quantity (T )

� FIGURE 12.9

Inventory Level in a Fixed-Period (P) System Various amounts (Q1, Q2, Q3, etc.) are ordered at regular time intervals (P ) based on the quantity necessary to bring inventory up to the target quantity (T ).

400 PART 3 Managing Operations

Fixed-period systems have several of the same assumptions as the basic EOQ fixed-quantity system:

• The only relevant costs are the ordering and holding costs. • Lead times are known and constant. • Items are independent of one another.

The downward-sloped lines in Figure 12.9 again represent on-hand inventory levels. But now, when the time between orders (P) passes, we place an order to raise inventory up to the target quan- tity (T). The amount ordered during the first period may be the second period and so on. The value is the difference between current on-hand inventory and the target inventory level.

The advantage of the fixed-period system is that there is no physical count of inventory items after an item is withdrawn—this occurs only when the time for the next review comes up. This procedure is also convenient administratively.

A fixed-period system is appropriate when vendors make routine (i.e., at fixed-time interval) visits to customers to take fresh orders or when purchasers want to combine orders to save order- ing and transportation costs (therefore, they will have the same review period for similar inven- tory items). For example, a vending machine company may come to refill its machines every Tuesday. This is also the case at Anheuser-Busch, whose sales reps may visit a store every 5 days (see the OM in Action box “66,207,896 Bottles of Beer on the Wall”).

The disadvantage of the P system is that because there is no tally of inventory during the review period, there is the possibility of a stockout during this time. This scenario is possible if a large order draws the inventory level down to zero right after an order is placed. Therefore, a higher level of safety stock (as compared to a fixed-quantity system) needs to be maintained to provide protection against stockout during both the time between reviews and the lead time.

Qi

Q2,Q1,

When Dereck Gurden pulls up at one of his customers’ stores—7-Eleven, Buy N Save, or one of dozens of liquor marts and restaurants in the 800-square-mile territory he covers in California’s Central Valley—managers usually stop what they’re doing and grab a note pad. This is because, as Gurden claims, “I know more about these guys’ businesses than they do . . . at least in the beer section.”

What makes Gurden and other sales reps for Anheuser- Busch distributors so smart? It’s BudNet, the King of Beer’s top-secret crown jewel—a nationwide data network through which drivers and reps report, in excruciating detail, on sales, shelf space, inventory, and displays at thousands of stores. How does it work? As Gurden walks a store, he inputs what he sees to his handheld PC, then plugs into a cell phone and fires off new orders, along with the data he has gathered. Anheuser has made a deadly accurate science of finding out what beer lovers are buying, as well as when, where, and why.

Matching these data with U.S. census figures of neighborhoods, Anheuser mines data down to the sales at individual stores. The company can pinpoint age, ethnicity, education, political, and sexual orientation of customers at your

local 7-Eleven. BudNet is the primary reason Anheuser’s share of the $75 billion U.S. beer market continues to increase, and the company has posted double-digit profit gains for 20 straight quarters while its competitors have flat-lined.

Sources: Business 2.0 (January/February 2004): 47–49; Beverage Industry (May 2004): 20–23; and The Wall Street Journal (March 23, 2004): C3.

OM in Action � 66,207,896 Bottles of Beer on the Wall

CHAPTER SUMMARY Inventory represents a major investment for many firms. This investment is often larger than it should be because firms find it easier to have “just-in-case” inventory rather than “just-in- time” inventory. Inventories are of four types:

1. Raw material and purchased components 2. Work-in-process 3. Maintenance, repair, and operating (MRO) 4. Finished goods

In this chapter, we discussed independent inventory, ABC analy- sis, record accuracy, cycle counting, and inventory models used to con- trol independent demands. The EOQ model, production order quantity model, and quantity discount model can all be solved using Excel, Excel OM, or POM for Windows software.

Chapter 12 Inventory Management 401

Key Terms

Raw material inventory (p. 375) Work-in-process (WIP) inventory (p. 375) MRO (p. 375) Finished-goods inventory (p. 375) ABC analysis (p. 375) Cycle counting (p. 377) Shrinkage (p. 379) Pilferage (p. 379) Holding cost (p. 380)

Ordering cost (p. 380) Setup cost (p. 380) Setup time (p. 380) Economic order quantity (EOQ) model

(p. 381) Robust (p. 385) Lead time (p. 386) Reorder point (ROP) (p. 386) Safety stock (p. 387)

Production order quantity model (p. 388) Quantity discount (p. 390) Probabilistic model (p. 393) Service level (p. 393) Single-period inventory model (p. 398) Fixed-quantity (Q) system (p. 399) Perpetual inventory system (p. 399) Fixed-period (P) system (p. 399)

Using Software to Solve Inventory Problems This section presents three ways to solve inventory problems with computer software. First, you can create your own Excel spreadsheets. Second, you can use the Excel OM software that comes with this text and is found on our website. Third, POM for Windows, also on our website at www.pearsonhighered.com/heizer, can solve all problems marked with a P.

� PROGRAM 12.1 Using Excel for a Production Model, with Data from Example 8

Creating Your Own Excel Spreadsheets Program 12.1 illustrates how you can make an Excel model to solve Example 8 (p. 389). This is a production order quantity model. A listing of the formulas needed to create the spreadsheet is shown.

=SQRT(2*B3*B4/B5)*SQRT (B6/(B6-B7))

=B12*(B6-B7)/B6

=B18+B19+B21

=B13/2

=B3/B12 =B8/B15

=B14*B5

=B15*B4

=B9*B3

X Using Excel OM Excel OM allows us to easily model inventory problems ranging from ABC analysis, to the basic EOQ model, to the production model, to quantity discount situations.

Program 12.2 shows the input data, selected formulas, and results for an ABC analysis, using data from Example 1 (on p. 376). After the data are entered, we use the Data and Sort Excel commands to rank the items from largest to smallest dollar volumes.

402 PART 3 Managing Operations

The cumulative dollar volumes in column G make sense only after the items have been sorted by dollar volume. Either use the copy and sort button, or, to sort by hand, highlight cells A7 through E17 and then use Data, Sort from Excel 2007 Ribbon or Excel 2003 menu.

Calculate the total dollar volume for each item. = B8*C8

Calculate the percentage of the grand total dollar volume for each item. = E8/E18

= SUM(E8:E17)

= SUM($F$8:F8)

Enter the item name or number, its sales volume, and the unit cost in columns A, B, and C.

� PROGRAM 12.2 Using Excel OM for an ABC Analysis, with Data from Example 1

Solved Problems Virtual Office help is available at www.myomlab.com

� SOLVED PROBLEM 12.1 David Alexander has compiled the following table of six items in inventory at Angelo Products, along with the unit cost and the annual demand in units:

� SOLUTION The item that needs strict control is 33CP, so it is an A item. Items that do not need to be strictly controlled are 3CPO, R2D2, and RMS; these are C items. The B items will be XX1 and B66.

Identification Code Unit Cost ($)

Annual Demand (units)

XX1 5.84 1,200 B66 5.40 1,110 3CPO 1.12 896 33CP 74.54 1,104 R2D2 2.00 1,110 RMS 2.08 961

P Using POM for Windows The POM for Windows Inventory module can also solve the entire EOQ family of problems. Please refer to Appendix IV for further details.

Code Annual dollar volume

= Unit Cost � Demand

XX1 $ 7,008.00 B66 $ 5,994.00 3CPO $ 1,003.52 33CP $ 82,292.16 R2D2 $ 2,220.00 RMS $ 1,998.88

Total cost = $100,516.56 70% of total cost = $70,347.92

� SOLVED PROBLEM 12.2 The Warren W. Fisher Computer Corporation purchases 8,000 transistors each year as components in minicomputers. The unit cost of each transistor is $10, and the cost of carrying one transis- tor in inventory for a year is $3. Ordering cost is $30 per order.

What are (a) the optimal order quantity, (b) the expected number of orders placed each year, and (c) the expected time between orders? Assume that Fisher operates on a 200-day work- ing year.

� SOLUTION

a)

b)

c)

With 20 orders placed each year, an order for 400 transistors is placed every 10 working days.

Time between orders = T = Number of working days

N =

200

20 = 10 working days

N = D

Q* =

8,000

400 = 20 orders

Q* = A

2DS

H = A

218,00021302

3 = 400 units

Use ABC analysis to determine which item(s) should be carefully controlled using a quantitative inventory technique and which item(s) should not be closely controlled.

Chapter 12 Inventory Management 403

� SOLVED PROBLEM 12.3 Annual demand for notebook binders at Meyer’s Stationery Shop is 10,000 units. Brad Meyer operates his business 300 days per

year and finds that deliveries from his supplier generally take 5 working days. Calculate the reorder point for the notebook binders.

� SOLUTION

Thus, Brad should reorder when his stock reaches 167 units.

= 166.7 units ROP = d * L = 133.3 units per day215 days2

d = 10,000

300 = 33.3 units per day

L = 5 days

� SOLVED PROBLEM 12.4 Leonard Presby, Inc., has an annual demand rate of 1,000 units but can produce at an average production rate of 2,000 units. Setup

cost is $10; carrying cost is $1. What is the optimal number of units to be produced each time?

� SOLUTION

= A

20,000

1>2 = 240,000 = 200 units

Q*p =

Q

2DS

H¢1 - Annual demand rate Annual production rate

≤ = A 211,00021102131 - 11,000>2,00024 � SOLVED PROBLEM 12.5 Whole Nature Foods sells a gluten-free product for which the annual demand is 5,000 boxes. At the moment, it is paying $6.40 for each box; carrying cost is 25% of the unit cost; ordering costs are $25. A new supplier has offered to sell the same item for $6.00 if Whole Nature Foods buys at least 3,000 boxes per order. Should the firm stick with the old supplier, or take advantage of the new quantity discount?

� SOLUTION Under present price of $6.40 per box:

Economic order quantity, using Equation (12-10):

where D = period demand S = ordering cost P = price per box I = holding cost as percent

H = holding cost = IP

= 395.3, or 395 boxes

Q* = A 215,00021252

10.25216.402

Q* = A

2DS

IP

Note: Order and carrying costs are rounded.

Under the quantity discount price of $6.00 per box:

We compute which is below the required order level of 3,000 boxes. So Q* is adjusted to 3,000.

Therefore, the new supplier with which Whole Nature Foods would incur a total cost of $32,292 is preferable, but not by a large amount. If buying 3,000 boxes at a time raises problems of storage or freshness, the company may very well wish to stay with the current supplier.

= $32,292 = 42 + 2,250 + 30,000

= 15,00021252

3,000 + 13,000210.25216.002

2 + 16.00215,0002

= DS

Q + Q

2 H + PD

Total cost = Ordering cost + Holding cost + Purchase cost

Q* = 408.25,

= $32,632 = 316 + 316 + 32,000

= 15,00021252

395 + 13952(0.25)16.402

2 + 16.40215,0002

= DS

Q + Q

2 H + PD

Total cost = Order cost + Holding cost + Purchase cost

� SOLVED PROBLEM 12.6 Children’s art sets are ordered once each year by Ashok Kumar, Inc., and the reorder point, without safety stock (dL) is 100 art sets. Inventory carrying cost is $10 per set per year, and the cost of

a stockout is $50 per set per year. Given the following demand probabilities during the lead time, how much safety stock should be carried?

404 PART 3 Managing Operations

� SOLVED PROBLEM 12.8 The daily demand for 52′′ plasma TVs at Sarah’s Discount Emporium is normally distributed, with an average of 5 and a stan- dard deviation of 2 units. The lead time for receiving a shipment of

new TVs is 10 days and is fairly constant. Determine the reorder point and safety stock for a 95% service level.

Demand during Lead Time Probability

0 .1 50 .2

ROP : 100 .4 150 .2 200 .1

1.0

Incremental Costs

Safety Stock Carrying Cost Stockout Cost Total Cost

0 0 50 * 150 * 0.2 + 100 * 0.12 = 1,000 $1,000 50 50 * 10 = 500 50 * 10.1 * 502 = 250 750

100 100 * 10 = 1,000 0 1,000

� SOLUTION

The safety stock that minimizes total incremental cost is 50 sets. The reorder point then becomes or 150 sets.100 sets + 50 sets,

� SOLVED PROBLEM 12.7 What safety stock should Ron Satterfield Corporation maintain if mean sales are 80 during the reorder period, the standard deviation is 7, and Ron can tolerate stockouts 10% of the time?

� = 80 �dLT = 7

10% area under the normal curve

Safety stock

From Appendix I, Z at an area of .9 (or 1 – .10) = 1.28, and Equation (12-14):

= 1.28172 = 8.96 units, or 9 units Safety stock = ZsdLT

� SOLUTION The ROP for this variable demand and constant lead time model uses Equation (12-15):

where

So, with

The safety stock is 10.4, or about 10 TVs.

= 50 + 10.4 = 60.4 � 60 TVs ROP = 15 * 102 + 1.65122210

Z = 1.65, sdLT = sd2Lead time

ROP = 1Average daily demand * Lead time in days2 + ZsdLT

� SOLUTION

Chapter 12 Inventory Management 405

� SOLVED PROBLEM 12.9 The demand at Arnold Palmer Hospital for a specialized surgery pack is 60 per week, virtually every week. The lead time from McKesson, its main supplier, is normally distributed, with a mean

of 6 weeks for this product and a standard deviation of 2 weeks. A 90% weekly service level is desired. Find the ROP.

� SOLUTION Here the demand is constant and lead time is variable, with data given in weeks, not days. We apply Equation (12-16):

where

So, with for a 90% service level:

= 360 + 153.6 = 513.6 � 514 surgery packs ROP = 160 * 62 + 1.281602122

Z = 1.28,

sLT = standard deviation of lead time in weeks = 2

ROP = 1Weekly demand * Average lead time in weeks2 + Z 1Weekly demand2sLT

�Additional Case Studies: Visit www.myomlab.com or www.pearsonhighered.com/heizer for these free case studies: Southwestern University (F): The university must decide how many football day programs to order, and from whom. LaPlace Power and Light: This utility company is evaluating its current inventory policies.

Bibliography

Abernathy, Frederick H., et al. “Control Your Inventory in a World of Lean Retailing.” Harvard Business Review 78, no. 6 (November–December 2000): 169–176.

Arnold, J. R., S. N. Chapman, and L. M. Clive. Introduction to Materials Management, 6th ed. Upper Saddle River, NJ: Prentice Hall (2008).

Bradley, James R., and Richard W. Conway. “Managing Cyclic Inventories.” Production and Operations Management 12, no. 4 (Winter 2003): 464–479.

Burt, D. N., S. Petcavage, and R. Pinkerton. Supply Management, 8th ed. Burr Ridge, IL: Irwin/McGraw (2010).

Chapman, Stephen. Fundamentals of Production Planning and Control. Upper Saddle River, NJ: Prentice Hall (2006).

Chopra, Sunil, Gilles Reinhardt, and Maqbool Dada. “The Effect of Lead Time Uncertainty on Safety Stocks.” Decision Sciences 35, no. 1 (Winter 2004): 1–24.

Keren, Baruch. “The Single Period Inventory Model.” Omega 37, no. 4 (August 2009): 801.

Liu, X., and Z. Lian. “Cost-effective Inventory Control in a Value- added Manufacturing System.” European Journal of Operational Research 196, no. 2 (July 2009): 534.

McDonald, Stan C. Materials Management. New York: Wiley (2009). Noblitt, James M. “The Economic Order Quantity Model: Panacea

or Plague?” APICS—The Performance Advantage (February 2001): 53–57.

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 11th ed. Upper Saddle River, NJ: Prentice Hall (2011).

Rubin, Paul A., and W. C. Benton. “A Generalized Framework for Quantity Discount Pricing Schedules.” Decision Sciences 34, no. 1 (Winter 2003): 173–188.

Vollmann, T. E., W. L. Berry, D. C. Whybark, and F. R. Jacobs. Manufacturing Planning and Control for Supply Chain Management, 5th ed. Burr Ridge, IL: Irwin/McGraw (2005).

Witt, Clyde E. “Mobile Warehouse Supplies U.S. Marines in Iraq.” Material Handling Management 60, no. 8 (August 2005): 24–25.

This page intentionally left blank

Aggregate Planning

Chapter Outline

GLOBAL COMPANY PROFILE: FRITO-LAY

The Planning Process 410

The Nature of Aggregate Planning 411

Aggregate Planning Strategies 412

Methods for Aggregate Planning 415

Aggregate Planning in Services 422

Yield Management 425

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling � Aggregate

� Short-Term

� Maintenance

407

GLOBAL COMPANY PROFILE: FRITO-LAY

AGGREGATE PLANNING PROVIDES A COMPETITIVE ADVANTAGE AT FRITO-LAY

L ike other organizations throughout the world,

Frito-Lay relies on effective aggregate

planning to match fluctuating multi-billion-

dollar demand to capacity in its 36 North

American plants. Planning for the intermediate term (3

to 18 months) is the heart of aggregate planning.

Effective aggregate planning combined with tight

scheduling, effective maintenance, and efficient

employee and facility scheduling are the keys to high

plant utilization. High utilization is a critical factor in

facilities such as Frito-Lay where capital investment

is substantial.

Frito-Lay has more than three dozen brands of

snacks and chips, 15 of which sell more than $100

million annually and 7 of which sell over $1 billion. Its

brands include such well-known names as Fritos,

Lay’s, Doritos, Sun Chips, Cheetos, Tostitos, Flat

Earth, and Ruffles. Unique processes using specially

designed equipment are required to produce each of

these products. Because these specialized processes

generate high fixed cost, they must operate at very

high volume. But such product-focused facilities

benefit by having low variable costs. High utilization

and performance above the break-even point require a

good match between demand and capacity. Idle

equipment is disastrous.

At Frito-Lay’s headquarters near Dallas, planners

create a total demand profile. They use historical

product sales, forecasts of new products, product

innovations, product promotions, and dynamic local

demand data from account managers to forecast

demand. Planners then match the total demand profile

to existing capacity, capacity expansion plans, and

cost. This becomes the aggregate plan. The aggregate

plan is communicated to each of the firm’s 17 regions

and to the 36 plants. Every quarter, headquarters and

each plant modify the respective plans to incorporate

changing market conditions and plant performance.

Each plant uses its quarterly plan to develop a

4-week plan, which in turn assigns specific products to

specific product lines for production runs. Finally, each

week raw materials and labor are assigned to each

process. Effective aggregate planning is a major factor

in high utilization and low cost. As the company’s 60%

market share indicates, excellent aggregate planning

yields a competitive advantage at Frito-Lay.

The aggregate plan adjusts for farm location, yield, and quantities for timely delivery of Frito-Lay’s unique varieties of potatoes. During harvest times, potatoes go directly to the plant. During non-harvest months, potatoes are stored in climate- controlled environments to maintain quality, texture, and taste.

408

As potatoes arrive at the plant, they are promptly washed and peeled to ensure freshness and taste.

After peeling, potatoes are cut into thin slices, rinsed of excess starch, and cooked in sunflower and/or corn oil.

After cooking is complete, inspection, bagging, weighing, and packing operations prepare Lay’s potato chips for shipment to customers—all in a matter of hours.

FRITO-LAY �

409

LO1: Define aggregate planning 410

LO2: Identify optional strategies for developing an aggregate plan 412

LO3: Prepare a graphical aggregate plan 416

THE PLANNING PROCESS Manufacturers such as Frito-Lay, Anheuser-Busch, GE, and Yamaha face tough decisions when trying to schedule products such as snack foods, beer, air conditioners, and jet skis, the demand for which is heavily dependent on seasonal variation. Developing plans that minimize costs con- nected with such forecasts is aggregate planning, one of the main functions of an operations manager. Aggregate planning (also known as aggregate scheduling) is concerned with deter- mining the quantity and timing of production for the intermediate future, often from 3 to 18 months ahead. Operations managers try to determine the best way to meet forecasted demand by adjusting production rates, labor levels, inventory levels, overtime work, subcontracting rates, and other controllable variables. Usually, the objective of aggregate planning is to meet fore- casted demand while minimizing cost over the planning period. However, other strategic issues may be more important than low cost. These strategies may be to smooth employment levels, to drive down inventory levels, or to meet a high level of service.

For manufacturers, the aggregate schedule ties the firm’s strategic goals to production plans, but for service organizations, the aggregate schedule ties strategic goals to workforce schedules.

Four things are needed for aggregate planning:

• A logical overall unit for measuring sales and output, such as pounds of Doritos at Frito-Lay, air-conditioning units at GE, or cases of beer at Anheuser-Busch

• A forecast of demand for a reasonable intermediate planning period in these aggregate terms • A method for determining the relevant costs • A model that combines forecasts and costs so that scheduling decisions can be made for the

planning period

In this chapter we describe the aggregate planning decision, show how the aggregate plan fits into the overall planning process, and describe several techniques that managers use when devel- oping an aggregate plan. We stress both manufacturing and service-sector firms.

Planning Horizons In Chapter 4, we saw that demand forecasting can address short-, medium-, and long-range prob- lems. Long-range forecasts help managers deal with capacity and strategic issues and are the responsibility of top management (see Figure 13.1). Top management formulates policy-related questions, such as facility location and expansion, new product development, research funding, and investment over a period of several years.

Medium-range planning begins once long-term capacity decisions are made. This is the job of the operations manager. Scheduling decisions address the problem of matching productivity to fluc- tuating demands. These plans need to be consistent with top management’s long-range strategy and work within the resources allocated by earlier strategic decisions. Medium- (or “intermediate-”) range planning is accomplished by building an aggregate production plan.

Short-range planning may extend up to a year but is usually less than 3 months. This plan is also the responsibility of operations personnel, who work with supervisors and foremen to “dis- aggregate” the intermediate plan into weekly, daily, and hourly schedules. Tactics for dealing with short-term planning involve loading, sequencing, expediting, and dispatching, which are discussed in Chapter 15.

Figure 13.1 illustrates the time horizons and features for short-, intermediate-, and long-range planning.

Aggregate planning (or aggregate scheduling) An approach to determine the quantity and timing of production for the intermediate future (usually 3 to 18 months ahead).

LO1: Define aggregate planning

LO4: Solve an aggregate plan via the transportation method of linear programming 421

LO5: Understand and solve a yield management problem 426

AUTHOR COMMENT Idle capacity is expensive, and inadequate capacity

loses customers.

Scheduling decisions Plans that match production to changes in demand.

410 PART 3 Managing Operations

Chapter 13 Learning Objectives

Chapter 13 Aggregate Planning 411

Long-range plans (over one year) Capacity decisions (Supplement 7) are critical to long-range plans.

Research and Development New product plans Capital investments Facility location/expansion

Top executives

Operations managers

Operations managers, supervisors, foremen

Responsibility Planning tasks and time horizons

Short-range plans (up to 3 months) The scheduling techniques (Chapter 15) help managers prepare short- range plans. Job assignments Ordering Job scheduling Dispatching Overtime Part-time help

Intermediate-range plans (3 to 18 months) The aggregate planning techniques of this chapter aid managers in building intermediate- range plans.

Sales planning Production planning and budgeting Setting employment, inventory, subcontracting levels Analyzing operating plans

� FIGURE 13.1 Planning Tasks and Responsibilities

THE NATURE OF AGGREGATE PLANNING As the term aggregate implies, an aggregate plan means combining appropriate resources into general, or overall, terms. Given demand forecast, facility capacity, inventory levels, workforce size, and related inputs, the planner has to select the rate of output for a facility over the next 3 to 18 months. The plan can be for firms such as Frito-Lay and Whirlpool, hospitals, colleges, or Prentice Hall, the company that published this textbook.

Take, for a manufacturing example, Snapper, which produces many different models of lawn mowers. It makes walk-behind mowers, rear-engine riding mowers, garden tractors, and many more, for a total of 145 models. For each month in the upcoming 3 quarters, the aggregate plan for Snapper might have the following output (in units of production) for Snapper’s “family” of mowers:

Quarter 1 Quarter 2 Quarter 3

Jan. Feb. March April May June July Aug. Sept. 150,000 120,000 110,000 100,000 130,000 150,000 180,000 150,000 140,000

AUTHOR COMMENT Aggregate plans are

formulated in a variety of units, such as pounds of Fritos, tons of steel, or number of students.

AUTHOR COMMENT If long-term planning is done poorly, problems will develop

that make the aggregate planner’s job very tough.

Operations personnel build an aggregate plan using the total expected demand for all of the family products, such as 145 models at Snapper (a few of which are shown above). Only when the forecasts are assembled in the aggregate plan does the company decide how to meet the total requirement with the available resources. These resource constraints include facility capacity, workforce size, supply-chain limitations, inventory issues, and financial resources.

412 PART 3 Managing Operations

Every bright red Snapper lawn mower sold anywhere in the world comes from a factory in McDonough, Georgia. Ten years ago, the Snapper line had about 40 models of mowers, leaf blowers, and snow blowers. Today, reflecting the demands of mass customization, the product line is much more complex. Snapper designs, manufactures, and sells 145 models. This means that aggregate planning and the related short-term scheduling have become more complex, too.

In the past, Snapper met demand by carrying a huge inventory for 52 regional distributors and thousands of independent dealerships. It manufactured and shipped tens of thousands of lawn mowers, worth tens of millions of dollars, without quite knowing when they would be sold— a very expensive approach to meeting demand. Some changes were necessary. The new plan’s goal is for each distribution center to receive only the minimum inventory necessary to meet demand. Today, operations managers at Snapper evaluate production capacity and use frequent

data from the field as inputs to sophisticated software to forecast sales. The new system tracks customer demand and aggregates forecasts for every model in every region of the country. It even adjusts for holidays and weather. And the number of distribution centers has been cut from 52 to 4.

Once evaluation of the aggregate plan against capacity determines the plan to be feasible, Snapper’s planners break down the plan into production needs for each model. Production by model is accomplished by building rolling monthly and weekly plans. These plans track the pace at which various units are selling. Then, the final step requires juggling work assignments to various work centers for each shift, such as 265 lawn mowers in an 8-hour shift. That’s a new Snapper every 109 seconds.

Sources: Fair Disclosure Wire (January 17, 2008); The Wall Street Journal (July 14, 2006): B1, B6; Fast Company (January/February 2006): 67–71; and www.snapper.com.

OM in Action � Building the Plan at Snapper

Note that the plan looks at production in the aggregate (the family of mowers), not as a product- by-product breakdown. Likewise, an aggregate plan for BMW tells the auto manufacturer how many cars to make but not how many should be two-door vs. four-door or red vs. green. It tells Nucor Steel how many tons of steel to produce but does not differentiate grades of steel. (We extend the discussion of planning at Snapper in the OM in Action box “Building the Plan at Snapper.”)

Aggregate planning is part of a larger production planning system. Therefore, understanding the interfaces between the plan and several internal and external factors is useful. Figure 13.2 shows that the operations manager not only receives input from the marketing department’s demand forecast, but must also deal with financial data, personnel, capacity, and availability of raw materials. In a manufacturing environment, the process of breaking the aggregate plan down into greater detail is called disaggregation. Disaggregation results in a master produc- tion schedule, which provides input to material requirements planning (MRP) systems. The master production schedule addresses the purchasing or production of parts or components needed to make final products (see Chapter 14). Detailed work schedules for people and prior- ity scheduling for products result as the final step of the production planning system (and are discussed in Chapter 15).

AGGREGATE PLANNING STRATEGIES When generating an aggregate plan, the operations manager must answer several questions:

1. Should inventories be used to absorb changes in demand during the planning period? 2. Should changes be accommodated by varying the size of the workforce? 3. Should part-timers be used, or should overtime and idle time absorb fluctuations? 4. Should subcontractors be used on fluctuating orders so a stable workforce can be maintained? 5. Should prices or other factors be changed to influence demand?

All of these are legitimate planning strategies. They involve the manipulation of inventory, production rates, labor levels, capacity, and other controllable variables. We will now exam- ine eight options in more detail. The first five are called capacity options because they do not try to change demand but attempt to absorb demand fluctuations. The last three are demand options through which firms try to smooth out changes in the demand pattern over the plan- ning period.

AUTHOR COMMENT Managers can meet aggregate

plans by adjusting either capacity or demand.

LO2: Identify optional strategies for developing an aggregate plan

Disaggregation The process of breaking an aggregate plan into greater detail.

Master production schedule A timetable that specifies what is to be made and when.

Chapter 13 Aggregate Planning 413

Capacity Options A firm can choose from the following basic capacity (production) options:

1. Changing inventory levels: Managers can increase inventory during periods of low demand to meet high demand in future periods. If this strategy is selected, costs associated with stor- age, insurance, handling, obsolescence, pilferage, and capital invested will increase. On the other hand, with low inventory on hand and increasing demand, shortages can occur, result- ing in longer lead times and poor customer service.

2. Varying workforce size by hiring or layoffs: One way to meet demand is to hire or lay off production workers to match production rates. However, new employees need to be trained, and productivity drops temporarily as they are absorbed into the workforce. Layoffs or terminations, of course, lower the morale of all workers and also lead to lower productivity.

3. Varying production rates through overtime or idle time: Keeping a constant workforce while varying working hours may be possible. Yet when demand is on a large upswing, there is a limit on how much overtime is realistic. Overtime pay increases costs and too much over- time can result in worker fatigue and a drop in productivity. Overtime also implies added overhead costs to keep a facility open. On the other hand, when there is a period of decreased demand, the company must somehow absorb workers’ idle time—often a difficult and expensive process.

4. Subcontracting: A firm can acquire temporary capacity by subcontracting work during peak demand periods. Subcontracting, however, has several pitfalls. First, it may be costly; sec- ond, it risks opening the door to a competitor. Third, developing the perfect subcontract sup- plier can be a challenge.

5. Using part-time workers: Especially in the service sector, part-time workers can fill labor needs. This practice is common in restaurants, retail stores, and supermarkets.

Product decisions

(Ch. 5)

1st Qtr

D e

m a

n d

2nd Qtr

3rd Qtr

4th Qtr

Demand forecasts, orders (Ch.4)

Process planning and

capacity decisions

(Ch. 7 and S7)

Marketplace and demand

Master production

schedule and MRP systems

(Ch.14)

Detailed work

schedules (Ch.15)

Aggregate plan for production

Research and technology

Workforce (Ch.10)

Inventory on hand (Ch.12)

Supply-chain support (Ch.11)

External capacity (subcontractors)

� FIGURE 13.2 Relationships of an Aggregate Plan

414 PART 3 Managing Operations

Demand Options The basic demand options are:

1. Influencing demand: When demand is low, a company can try to increase demand through advertising, promotion, personal selling, and price cuts. Airlines and hotels have long offered weekend discounts and off-season rates; telephone companies charge less at night; some colleges give discounts to senior citizens; and air conditioners are least expensive in winter. However, even special advertising, promotions, selling, and pricing are not always able to balance demand with production capacity.

2. Back ordering during high-demand periods: Back orders are orders for goods or services that a firm accepts but is unable (either on purpose or by chance) to fill at the moment. If customers are willing to wait without loss of their goodwill or order, back ordering is a pos- sible strategy. Many firms back order, but the approach often results in lost sales.

3. Counterseasonal product and service mixing: A widely used active smoothing technique among manufacturers is to develop a product mix of counterseasonal items. Examples include companies that make both furnaces and air conditioners or lawn mowers and snowblowers. However, companies that follow this approach may find themselves involved in products or services beyond their area of expertise or beyond their target market.

These eight options, along with their advantages and disadvantages, are summarized in Table 13.1.

Mixing Options to Develop a Plan Although each of the five capacity options and three demand options discussed above may pro- duce an effective aggregate schedule, some combination of capacity options and demand options may be better.

Many manufacturers assume that the use of the demand options has been fully explored by the marketing department and those reasonable options incorporated into the demand forecast. The operations manager then builds the aggregate plan based on that forecast. However, using the five capacity options at his command, the operations manager still has a multitude of possi- ble plans. These plans can embody, at one extreme, a chase strategy and, at the other, a level- scheduling strategy. They may, of course, fall somewhere in between.

Chase Strategy A chase strategy typically attempts to achieve output rates for each period that match the demand forecast for that period. This strategy can be accomplished in a variety of ways. For example, the operations manager can vary workforce levels by hiring or laying off or

John Deere and Company, the “granddaddy” of farm equipment manufacturers, uses sales incentives to smooth demand. During the fall and winter off-seasons, sales are boosted with price cuts and other incentives. About 70% of Deere’s big machines are ordered in advance of seasonal use—about double the industry rate. Incentives hurt margins, but Deere keeps its market share and controls costs by producing more steadily all year long. Similarly, in service businesses like L.L. Bean, some customers are offered free shipping on orders placed before the Christmas rush.

Chase strategy A planning strategy that sets production equal to forecasted demand.

Chapter 13 Aggregate Planning 415

can vary production by means of overtime, idle time, part-time employees, or subcontracting. Many service organizations favor the chase strategy because the changing inventory levels option is difficult or impossible to adopt. Industries that have moved toward a chase strategy include education, hospitality, and construction.

Level Strategy A level strategy (or level scheduling) is an aggregate plan in which produc- tion is uniform from period to period. Firms like Toyota and Nissan attempt to keep production at uniform levels and may (1) let the finished-goods inventory vary to buffer the difference between demand and production or (2) find alternative work for employees. Their philosophy is that a stable workforce leads to a better-quality product, less turnover and absenteeism, and more employee commitment to corporate goals. Other hidden savings include employees who are more experienced, easier scheduling and supervision, and fewer dramatic startups and shut- downs. Level scheduling works well when demand is reasonably stable.

For most firms, neither a chase strategy nor a level strategy is likely to prove ideal, so a com- bination of the eight options (called a mixed strategy) must be investigated to achieve minimum cost. However, because there are a huge number of possible mixed strategies, managers find that aggregate planning can be a challenging task. Finding the one “optimal” plan is not always pos- sible, but as we will see in the next section, a number of techniques have been developed to aid the aggregate planning process.

METHODS FOR AGGREGATE PLANNING In this section, we introduce several techniques that operations managers use to develop aggre- gate plans. They range from the widely used graphical method to a series of more formal mathe- matical approaches, including the transportation method of linear programming.

Graphical Methods Graphical techniques are popular because they are easy to understand and use. These plans work with a few variables at a time to allow planners to compare projected demand with existing capacity. They are trial-and-error approaches that do not guarantee an optimal production plan,

� TABLE 13.1 Aggregate Planning Options: Advantages and Disadvantages

Option Advantages Disadvantages Comments

Changing inventory levels

Changes in human resources are gradual or none; no abrupt production changes.

Inventory holding costs may increase. Shortages may result in lost sales.

Applies mainly to production, not service, operations.

Varying workforce size by hiring or layoffs

Avoids the costs of other alternatives.

Hiring, layoff, and training costs may be significant.

Used where size of labor pool is large.

Varying production rates through overtime or idle time

Matches seasonal fluctuations without hiring/training costs.

Overtime premiums; tired workers; may not meet demand.

Allows flexibility within the aggregate plan.

Subcontracting Permits flexibility and smoothing of the firm’s output.

Loss of quality control; reduced profits; loss of future business.

Applies mainly in production settings.

Using part-time workers Is less costly and more flexible than full-time workers.

High turnover/training costs; quality suffers; scheduling difficult.

Good for unskilled jobs in areas with large temporary labor pools.

Influencing demand Tries to use excess capacity. Discounts draw new customers.

Uncertainty in demand. Hard to match demand to supply exactly.

Creates marketing ideas. Overbooking used in some businesses.

Back ordering during high-demand periods

May avoid overtime. Keeps capacity constant.

Customer must be willing to wait, but goodwill is lost.

Many companies back order.

Counterseasonal product and service mixing

Fully utilizes resources; allows stable workforce.

May require skills or equipment outside firm’s areas of expertise.

Risky finding products or services with opposite demand patterns.

Level scheduling Maintaining a constant output rate, production rate, or workforce level over the planning horizon.

AUTHOR COMMENT Managers must commit to

employment levels, material purchases, and inventory

levels; aggregate plans help managers do that.

Mixed strategy A planning strategy that uses two or more controllable variables to set a feasible production plan.

Graphical techniques Aggregate planning techniques that work with a few variables at a time to allow planners to compare projected demand with existing capacity.

EXAMPLE 1 � Graphical approach to aggregate planning for a roofing supplier

A Juarez, Mexico, manufacturer of roofing supplies has developed monthly forecasts for a family of products. Data for the 6-month period January to June are presented in Table 13.2. The firm would like to begin development of an aggregate plan.

Month Expected Demand Production Days Demand per Day

(computed) Jan. 900 22 41 Feb. 700 18 39 Mar. 800 21 38 Apr. 1,200 21 57 May 1,500 22 68 June 1,100

6,200

20 124

55

416 PART 3 Managing Operations

but they require only limited computations and can be performed by clerical staff. Following are the five steps in the graphical method:

1. Determine the demand in each period. 2. Determine capacity for regular time, overtime, and subcontracting each period. 3. Find labor costs, hiring and layoff costs, and inventory holding costs. 4. Consider company policy that may apply to the workers or to stock levels. 5. Develop alternative plans and examine their total costs.

These steps are illustrated in Examples 1 through 4.

LO3: Prepare a graphical aggregate plan

�TABLE 13.2 Monthly Forecasts

APPROACH � Plot daily and average demand to illustrate the nature of the aggregate planning problem.

SOLUTION � First, compute demand per day by dividing the expected monthly demand by the number of production days (working days) each month and drawing a graph of those forecasted demands (Figure 13.3). Second, draw a dotted line across the chart that represents the production rate required to meet average demand over the 6-month period. The chart is computed as follows:

Average requirement = Total expected demand

Number of production days =

6,200

124 = 50 units per day

Level production, using average monthly forecast demand

Jan.

22

Forecast demand

70

60

50

40

30

0

P ro

d u ct

io n r

a te

p e r

w o rk

in g d

a y

Feb.

18

Mar.

21

Apr.

21

May

22

June

20

Month

Number of working days

=

=

� FIGURE 13.3 Graph of Forecast and Average Forecast Demand

INSIGHT � Changes in the production rate become obvious when the data are graphed. Note that in the first 3 months, expected demand is lower than average, while expected demand in April, May, and June is above average.

LEARNING EXERCISE � If demand for June increases to 1,200 (from 1,100), what is the impact on Figure 13.3? [Answer: The daily rate for June will go up to 60, and average production will increase to 50.8 ( ).]

RELATED PROBLEM � 13.1

6,300>124

Chapter 13 Aggregate Planning 417

The graph in Figure 13.3 illustrates how the forecast differs from the average demand. Some strategies for meeting the forecast were listed earlier. The firm, for example, might staff in order to yield a production rate that meets average demand (as indicated by the dashed line). Or it might produce a steady rate of, say, 30 units and then subcontract excess demand to other roof- ing suppliers. Other plans might combine overtime work with subcontracting to absorb demand. Examples 2 to 4 illustrate three possible strategies.

One possible strategy (call it plan 1) for the manufacturer described in Example 1 is to maintain a con- stant workforce throughout the 6-month period. A second (plan 2) is to maintain a constant workforce at a level necessary to meet the lowest demand month (March) and to meet all demand above this level by subcontracting. Both plan 1 and plan 2 have level production and are, therefore, called level strate- gies. Plan 3 is to hire and lay off workers as needed to produce exact monthly requirements—a chase strategy. Table 13.3 provides cost information necessary for analyzing these three alternatives:

Inventory carrying cost $ 5 per unit per month Subcontracting cost per unit $ 20 per unit Average pay rate $ 10 per hour ($80 per day) Overtime pay rate $ 17 per hour (above 8 hours per day) Labor-hours to produce a unit 1.6 hours per unit Cost of increasing daily production rate

(hiring and training) $300 per unit

Cost of decreasing daily production rate (layoffs) $600 per unit

� TABLE 13.3 Cost Information

ANALYSIS OF PLAN 1. APPROACH � Here we assume that 50 units are produced per day and that we have a constant workforce, no overtime or idle time, no safety stock, and no subcon- tractors. The firm accumulates inventory during the slack period of demand, January through March, and depletes it during the higher-demand warm season, April through June. We assume beginning inventory and planned ending inventory

SOLUTION � We construct the table below and accumulate the costs:

= 0.= 0

Month Production

Days Production at

50 Units per Day Demand Forecast

Monthly Inventory Change

Ending Inventory

Jan. 22 1,100 900 + 200 200 Feb. 18 900 700 + 200 400 Mar. 21 1,050 800 + 250 650 Apr. 21 1,050 1,200 - 150 500 May 22 1,100 1,500 - 400 100 June 20 1,000 1,100 –100 0

1,850

Because each unit requires 1.6 labor-hours to produce, each worker can make 5 units in an 8-hour day. Therefore, to produce 50 units, 10 workers are needed.

Finally, the costs of plan 1 are computed as follows:

Workforce required to produce 50 units per day = 10 workers Total units of inventory carried over from one month to the next month = 1,850 units

Cost Calculations

Inventory carrying $ 9,250 per unit)(= 1,850 units carried * $5 Regular-time labor 99,200 days)(= 10 workers * $80 per day * 124 Other costs (overtime, hiring,

layoffs, subcontracting) Total cost

0 $108,450

� EXAMPLE 2 Plan 1 for the roofing supplier—a constant workforce

418 PART 3 Managing Operations

INSIGHT � Note the significant cost of carrying the inventory.

LEARNING EXERCISE � If demand for June decreases to 1,000 (from 1,100), what is the change in cost? [Answer: Total inventory carried will increase to 1,950 at $5, for an inventory cost of $9,750 and total cost of $108,950]

RELATED PROBLEMS � 13.2, 13.3, 13.4, 13.5, 13.6, 13.7, 13.8, 13.9, 13.10, 13.11, 13.12, 13.19

EXCEL OM Data File Ch13Ex2.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 13.1 This example is further illustrated in Active Model 13.1 at www.pearsonhighered.com/heizer.

The graph for Example 2 was shown in Figure 13.3. Some planners prefer a cumulative graph to display visually how the forecast deviates from the average requirements. Such a graph is pro- vided in Figure 13.4. Note that both the level production line and the forecast line produce the same total production.

7,000

C u m

u la

tiv e d

e m

a n d u

n its

6,000

5,000

4,000

3,000

2,000

1,000

Jan. Feb. Mar. Apr. May June Month

Cumulative forecast requirements

Cumulative level of production, using average monthly forecast requirements

Excess inventory

Reduction of inventory

6,200 units

� FIGURE 13.4 Cumulative Graph for Plan 1

AUTHOR COMMENT We saw another way to graph

this data in Figure 13.3.

ANALYSIS OF PLAN 2. APPROACH � Although a constant workforce is also maintained in plan 2, it is set low enough to meet demand only in March, the lowest demand-per-day month. To produce 38 units per day (800/21) in-house, 7.6 workers are needed. (You can think of this as 7 full- time workers and 1 part-timer.) All other demand is met by subcontracting. Subcontracting is thus required in every other month. No inventory holding costs are incurred in plan 2.

SOLUTION � Because 6,200 units are required during the aggregate plan period, we must com- pute how many can be made by the firm and how many must be subcontracted:

The costs of plan 2 are computed as follows:

Subcontract units = 6,200 - 4,712 = 1,488 units = 4,712 units

In-house production = 38 units per day * 124 production days

Cost Calculations

Regular-time labor $ 75,392 days)(= 7.6 workers * $80 per day * 124 Subcontracting Total cost

29,760 $105,152

per unit)(= 1,488 units * $20

EXAMPLE 3 � Plan 2 for the roofing supplier—use of subcontractors within a constant workforce

Chapter 13 Aggregate Planning 419

INSIGHT � Note the lower cost of regular labor but the added subcontracting cost.

LEARNING EXERCISE � If demand for June increases to 1,200 (from 1,100), what is the change in cost? [Answer: Subcontracting requirements increase to 1,588 at $20 per unit, for a subcon- tracting cost of $31,760 and a total cost of $107,152.]

RELATED PROBLEMS � 13.2, 13.3, 13.4, 13.5, 13.6, 13.7, 13.8, 13.9, 13.10, 13.11, 13.12, 13.19

� EXAMPLE 4 Plan 3 for the roofing supplier— hiring and layoffs

ANALYSIS OF PLAN 3. APPROACH � The final strategy, plan 3, involves varying the workforce size by hiring and layoffs as necessary. The production rate will equal the demand, and there is no change in production from the previous month, December.

SOLUTION � Table 13.4 shows the calculations and the total cost of plan 3. Recall that it costs $600 per unit produced to reduce production from the previous month’s daily level and $300 per unit change to increase the daily rate of production through hirings.

Thus, the total cost, including production, hiring, and layoff, for plan 3 is $117,800.

INSIGHT � Note the substantial cost associated with changing (both increasing and decreasing) the production levels.

LEARNING EXERCISE � If demand for June increases to 1,200 (from 1,100), what is the change in cost? [Answer: Daily production for June is 60 units, which is a decrease of 8 units in the daily production rate from May’s 68 units, so the new June layoff cost is with a total plan 3 cost of $114,800.]

RELATED PROBLEMS � 13.2, 13.3, 13.4, 13.5, 13.6, 13.7, 13.8, 13.9, 13.10, 13.11, 13.12, 13.19

$4,800 1= 8 * $6002,

The final step in the graphical method is to compare the costs of each proposed plan and to select the approach with the least total cost. A summary analysis is provided in Table 13.5. We see that because plan 2 has the lowest cost, it is the best of the three options.

Cost

Plan 1 (constant

workforce of 10 workers)

Plan 2 (workforce of

7.6 workers plus subcontract)

Plan 3 (hiring and layoffs to

meet demand)

Inventory carrying $ 9,250 $ 0 $ 0 Regular labor 99,200 75,392 99,200 Overtime labor 0 0 0 Hiring 0 0 9,000 Layoffs 0 0 9,600 Subcontracting 0 29,760 0 Total cost $108,450 $105,152 $117,800

� TABLE 13.5 Comparison of the Three Plans

� TABLE 13.4 Cost Computations for Plan 3

Month Forecast (units)

Daily Production

Rate

Basic Production

Cost (demand 1.6 hr per unit $10 per hr)

: :

Extra Cost of

Increasing Production (hiring cost)

Extra Cost of

Decreasing Production (layoff cost)

Total Cost

Jan. 900 41 $14,400 — — $ 14,400 Feb. 700 39 11,200 — $1,200 )(= 2 * $600 12,400 Mar. 800 38 12,800 — $ 600 )(= 1 * $600 13,400 Apr. 1,200 57 19,200 $5,700 (= 19 * $300) — 24,900 May 1,500 68 24,000 $3,300 (= 11 * $300) — 27,300 June 1,100 55 17,600 — $7,800 ( = 13 * $600) $ 25,400

$99,200 $9,000 $9,600 $117,800

420 PART 3 Managing Operations

Of course, many other feasible strategies can be considered in a problem like this, including combinations that use some overtime. Although graphing is a popular management tool, its help is in evaluating strategies, not generating them. To generate strategies, a systematic approach that considers all costs and produces an effective solution is needed.

Mathematical Approaches This section briefly describes some of the mathematical approaches to aggregate planning.

The Transportation Method of Linear Programming When an aggregate planning problem is viewed as one of allocating operating capacity to meet forecasted demand, it can be formulated in a linear programming format. The transportation method of linear program- ming is not a trial-and-error approach like graphing but rather produces an optimal plan for min- imizing costs. It is also flexible in that it can specify regular and overtime production in each time period, the number of units to be subcontracted, extra shifts, and the inventory carryover from period to period.

In Example 5, the supply consists of on-hand inventory and units produced by regular time, overtime, and subcontracting. Costs per unit, in the upper-right corner of each cell of the matrix in Table 13.7, relate to units produced in a given period or units carried in inventory from an ear- lier period.

EXAMPLE 5 � Aggregate planning with the transportation method

Sales Period

Mar. Apr. May Demand 800 1,000 750 Capacity:

Regular 700 700 700 Overtime 50 50 50 Subcontracting 150 150 130

Beginning inventory 100 tires

Costs

Regular time $40 per tire Overtime $50 per tire Subcontract $70 per tire Carrying cost $ 2 per tire per month

Farnsworth Tire Company would like to develop an aggregate plan via the transportation method. Data that relate to production, demand, capacity, and cost at its West Virginia plant are shown in Table 13.6.

� TABLE 13.6 Farnsworth’s Production, Demand, Capacity, and Cost Data

APPROACH � Solve the aggregate planning problem by minimizing the costs of matching pro- duction in various periods to future demands.

SOLUTION � Table 13.7 illustrates the structure of the transportation table and an initial feasible solution.

Transportation method of linear programming A way of solving for the optimal solution to an aggregate planning problem.

Chapter 13 Aggregate Planning 421

� TABLE 13.7 Farnsworth’s Transportation Tablea

aCells with an x indicate that back orders are not used at Farnsworth. When using Excel OM or POM for Windows to solve,

you must insert a very high cost (e.g., 9999) in each cell that is not used for production.

When setting up and analyzing this table, you should note the following:

1. Carrying costs are $2/tire per month. Tires produced in 1 period and held for 1 month will have a $2 higher cost. Because holding cost is linear, 2 months’ holdover costs $4. So when you move across a row from left to right, regular time, overtime, and subcontracting costs are lowest when output is used the same period it is produced. If goods are made in one period and carried over to the next, holding costs are incurred. Beginning inventory, however, is generally given a unit cost of 0 if it is used to satisfy demand in period 1.

2. Transportation problems require that supply equals demand; so, a dummy column called “unused capacity” has been added. Costs of not using capacity are zero.

3. Because back ordering is not a viable alternative for this particular company, no production is pos- sible in those cells that represent production in a period to satisfy demand in a past period (i.e., those periods with an “X”). If back ordering is allowed, costs of expediting, loss of goodwill, and loss of sales revenues are summed to estimate backorder cost.

4. Quantities in red in each column of Table 13.7 designate the levels of inventory needed to meet demand requirements (shown in the bottom row of the table). Demand of 800 tires in March is met by using 100 tires from beginning inventory and 700 tires from regular time.

5. In general, to complete the table, allocate as much production as you can to a cell with the small- est cost without exceeding the unused capacity in that row or demand in that column. If there is still some demand left in that row, allocate as much as you can to the next-lowest-cost cell. You then repeat this process for periods 2 and 3 (and beyond, if necessary). When you are finished, the sum of all your entries in a row must equal the total row capacity, and the sum of all entries in a column must equal the demand for that period. (This step can be accomplished by the transporta- tion method or by using POM for Windows or Excel OM software.)

Try to confirm that the cost of this initial solution is $105,900. The initial solution is not optimal, however. See if you can find the production schedule that yields the least cost (which turns out to be $105,700) using software or by hand.

LO4: Solve an aggregate plan via the transportation method of linear programming

DEMAND FOR

TOTAL Unused CAPACITY

Period 1 Period 2 Period 3 Capacity AVAILABLE SUPPLY FROM (Mar.) (Apr.) (May) (dummy) (supply)

0 2 4 0

Beginning inventory 100 100

40 42 44 0

Regular time 700 700

50 52 54 0

Overtime 50 50

70 72 74 0

Subcontract 150 150

40 42 0

Regular time � 700 700

50 52 0

Overtime � 50 50

70 72 0

Subcontract � 50 100 150

40 0

Regular time � � 700 700

50 0

Overtime � � 50 50 70 0

Subcontract � � 130 130

TOTAL DEMAND 800 1,000 750 230 2,780

P e r i o d

1

P e r i o d

2

P e r i o d

3

422 PART 3 Managing Operations

The transportation method of linear programming described in the above example was originally formulated by E. H. Bowman in 1956. Although it works well in analyzing the effects of holding inventories, using overtime, and subcontracting, it does not work when nonlinear or negative fac- tors are introduced. Thus, when other factors such as hiring and layoffs are introduced, the more general method of linear programming must be used.

Management Coefficients Model Bowman’s management coefficients model1 builds a formal decision model around a manager’s experience and performance. The assumption is that the manager’s past performance is pretty good; therefore, it can be used as a basis for future deci- sions. The technique uses a regression analysis of past production decisions made by managers. The regression line provides the relationship between variables (such as demand and labor) for future decisions. According to Bowman, managers’ deficiencies are mostly inconsistencies in decision making.

Other Models Two additional aggregate planning models are the linear decision rule and simulation. The linear decision rule (LDR) attempts to specify an optimum production rate and workforce level over a specific period. It minimizes the total costs of payroll, hiring, layoffs, overtime, and inventory through a series of quadratic cost curves.2

A computer model called scheduling by simulation uses a search procedure to look for the minimum-cost combination of values for workforce size and production rate.

Comparison of Aggregate Planning Methods Although these mathematical models have been found by researchers to work well under cer- tain conditions, and linear programming has found some acceptance in industry, the fact is that most sophisticated planning models are not widely used. Why? Perhaps it reflects the average manager’s attitude about what he or she views as overly complex models. Like all of us, planners like to understand how and why the models on which they are basing important decisions work. Additionally, operations managers need to make decisions quickly based on the changing dynamics of the competitive environment—and building good models is time- consuming. This may explain why the simpler graphical approach is more generally accepted.

Table 13.8 highlights some of the main features of graphing, transportation, management coefficients, and simulation planning models.

AGGREGATE PLANNING IN SERVICES Some service organizations conduct aggregate planning in exactly the same way as we did in Examples 1 through 5 in this chapter, but with demand management taking a more active role. Because most services pursue combinations of the eight capacity and demand options discussed

Management coefficients model A formal planning model built around a manager’s experience and performance.

1E. H. Bowman, “Consistency and Optimality in Managerial Decision Making,” Management Science 9, no. 2 (January 1963): 310–321. 2Because LDR was developed by Charles C. Holt, Franco Modigliani, John F. Muth, and Herbert Simon, it is popularly known as the HMMS rule. For details, see Martin K. Starr, Production and Operations Management (Cincinnati, OH: Atomic Dog Publishing, 2004): 490–493.

INSIGHT � The transportation method is flexible when costs are linear but does not work when costs are nonlinear.

LEARNING EXAMPLE � What is the impact on this problem if there is no beginning inven- tory? [Answer: Total capacity (units) available is reduced by 100 units and the need to subcontract increases by 100 units.]

RELATED PROBLEMS � 13.13, 13.14, 13.15, 13.16, 13.17, 13.18

EXCEL OM Data File Ch13Ex5.xls can be found at www.pearsonhighered.com/heizer.

AUTHOR COMMENT The major variable in capacity

management for services is labor.

Chapter 13 Aggregate Planning 423

Technique Solution Approaches Important Aspects

Graphical methods Trial and error Simple to understand and easy to use. Many solutions; one chosen may not be optimal.

Transportation method of linear programming

Optimization LP software available; permits sensitivity analysis and new constraints; linear functions may not be realistic.

Management coefficients model

Heuristic Simple, easy to implement; tries to mimic manager’s decision process; uses regression.

Simulation Change parameters

Complex; model may be difficult to build and for managers to understand.

earlier, they usually formulate mixed aggregate planning strategies. In industries such as bank- ing, trucking, and fast foods, aggregate planning may be easier than in manufacturing.

Controlling the cost of labor in service firms is critical. Successful techniques include:

1. Accurate scheduling of labor-hours to assure quick response to customer demand 2. An on-call labor resource that can be added or deleted to meet unexpected demand 3. Flexibility of individual worker skills that permits reallocation of available labor 4. Flexibility in rate of output or hours of work to meet changing demand

These options may seem demanding, but they are not unusual in service industries, in which labor is the primary aggregate planning vehicle. For instance:

• Excess capacity is used to provide study and planning time by real estate and auto salespersons. • Police and fire departments have provisions for calling in off-duty personnel for major emer-

gencies. Where the emergency is extended, police or fire personnel may work longer hours and extra shifts.

• When business is unexpectedly light, restaurants and retail stores send personnel home early. • Supermarket stock clerks work cash registers when checkout lines become too lengthy. • Experienced waitresses increase their pace and efficiency of service as crowds of customers

arrive.

Approaches to aggregate planning differ by the type of service provided. Here we discuss five service scenarios.

� TABLE 13.8 Summary of Four Major Aggregate Planning Methods

The heavy demands of the December holiday season place a special burden on aggregate planning at UPS. UPS maximizes truck and plane resource availability for the season, as well as overtime and temporary workers to match capacity to demand.

424 PART 3 Managing Operations

Restaurants In a business with a highly variable demand, such as a restaurant, aggregate scheduling is directed toward (1) smoothing the production rate and (2) finding the optimal size of the work- force. The general approach usually requires building very modest levels of inventory during slack periods and depleting inventory during peak periods, but using labor to accommodate most of the changes in demand. Because this situation is very similar to those found in manufacturing, traditional aggregate planning methods may be applied to services as well. One difference that should be noted is that even modest amounts of inventory may be perishable. In addition, the rel- evant units of time may be much smaller than in manufacturing. For example, in fast-food restau- rants, peak and slack periods may be measured in fractions of an hour and the “product” may be inventoried for as little as 10 minutes.

Hospitals Hospitals face aggregate planning problems in allocating money, staff, and supplies to meet the demands of patients. Michigan’s Henry Ford Hospital, for example, plans for bed capacity and personnel needs in light of a patient-load forecast developed by moving averages. The necessary labor focus of its aggregate plan has led to the creation of a new floating staff pool serving each nursing pod.

National Chains of Small Service Firms With the advent of national chains of small service businesses such as funeral homes, oil change outlets, and photocopy/printing centers, the question of aggregate planning versus independent planning at each business establishment becomes an issue. Both purchases and production capacity may be centrally planned when demand can be influenced through special promotions. This approach to aggregate scheduling is often advantageous because it reduces costs and helps manage cash flow at independent sites.

Miscellaneous Services Most “miscellaneous” services—financial, transportation, and many communication and recre- ation services—provide intangible output. Aggregate planning for these services deals mainly with planning for human resource requirements and managing demand. The twofold goal is to level demand peaks and to design methods for fully utilizing labor resources during low-demand periods. Example 6 illustrates such a plan for a legal firm.

EXAMPLE 6 � Aggregate planning in a law firm

Klasson and Avalon, a medium-size Tampa law firm of 32 legal professionals, wants to develop an aggregate plan for the next quarter. The firm has developed 3 forecasts of billable hours for the next quarter for each of 5 categories of legal business it performs (column 1, Table 13.9). The 3 forecasts (best, likely, and worst) are shown in columns 2, 3, and 4 of Table 13.9.

Labor-Hours Required Capacity Constraints

(1) (2) (3) (4) (5)

Maximum Demand in

People

(6)

Number of Qualified Personnel

Forecasts

Category of Legal Business

Best (hours)

Likely (hours)

Worst (hours)

Trial work 1,800 1,500 1,200 3.6 4 Legal research 4,500 4,000 3,500 9.0 32 Corporate law 8,000 7,000 6,500 16.0 15 Real estate law 1,700 1,500 1,300 3.4 6 Criminal law 3,500 3,000 2,500 7.0 12 Total hours 19,500 17,000 15,000 Lawyers needed 39 34 30

� TABLE 13.9 Labor Allocation at Klasson and Avalon, Forecasts for Coming Quarter (1 lawyer = 500 hours of labor)

Chapter 13 Aggregate Planning 425

APPROACH � If we make some assumptions about the workweek and skills, we can provide an aggregate plan for the firm. Assuming a 40-hour workweek and that 100% of each lawyer’s hours are billed, about 500 billable hours are available from each lawyer this fiscal quarter.

SOLUTION � We divide hours of billable time (which is the demand) by 500 to provide a count of lawyers needed (lawyers represent the capacity) to cover the estimated demand. Capacity then is shown to be 39, 34, and 30 for the three forecasts, best, likely, and worst, respectively. For example, the best-case scenario of 19,500 total hours, divided by 500 hours per lawyer, equals 39 lawyers needed. Because all 32 lawyers at Klasson and Avalon are qualified to perform basic legal research, this skill has maximum scheduling flexibility (column 6). The most highly skilled (and capacity-constrained) categories are trial work and corporate law. The firm’s best-case forecast just barely covers trial work, with 3.6 lawyers needed (see column 5) and 4 qualified (column 6). And corporate law is short 1 full person.

Overtime may be used to cover the excess this quarter, but as business expands, it may be necessary to hire or develop talent in both of these areas. Available staff adequately covers real estate and crimi- nal practice, as long as other needs do not use their excess capacity. With its current legal staff of 32, Klasson and Avalon’s best-case forecast will increase the workload by [( 21.8% (assuming no new hires). This represents 1 extra day of work per lawyer per week. The worst-case sce- nario will result in about a 6% underutilization of talent. For both of these scenarios, the firm has deter- mined that available staff will provide adequate service.

INSIGHT � While our definitions of demand and capacity are different than for a manufactur- ing firm, aggregate planning is as appropriate, useful, and necessary in a service environment as in manufacturing.

LEARNING EXERCISE � If the criminal law best-case forecast increases to 4,500 hours, what happens to the number of lawyers needed? [Answer: The demand for lawyers increases to 41.]

RELATED PROBLEMS � 13.20, 13.21

Source: Based on Glenn Bassett, Operations Management for Service Industries (Westport, CT: Quorum Books, 1992): 110.

39 - 322>32 = ]

Airline Industry Airlines and auto-rental firms also have unique aggregate scheduling problems. Consider an air- line that has its headquarters in New York, two hub sites in cities such as Atlanta and Dallas, and 150 offices in airports throughout the country. This planning is considerably more complex than aggregate planning for a single site or even for a number of independent sites.

Aggregate planning consists of tables or schedules for (1) number of flights in and out of each hub; (2) number of flights on all routes; (3) number of passengers to be serviced on all flights; (4) number of air personnel and ground personnel required at each hub and airport; and (5) deter- mining the seats to be allocated to various fare classes. Techniques for determining seat alloca- tion are called yield, or revenue, management, our next topic.

YIELD MANAGEMENT Most operations models, like most business models, assume that firms charge all customers the same price for a product. In fact, many firms work hard at charging different prices. The idea is to match the demand curve by charging based on differences in the customer’s willingness to pay. The management challenge is to identify those differences and price accordingly. The tech- nique for multiple price points is called yield management.

Yield (or revenue) management is the aggregate planning process of allocating the com- pany’s scarce resources to customers at prices that will maximize yield or revenue. Popular use of the technique dates to the 1980s, when American Airlines’s reservation system (called SABRE) allowed the airline to alter ticket prices, in real time and on any route, based on demand information. If it looked like demand for expensive seats was low, more discounted seats were offered. If demand for full-fare seats was high, the number of discounted seats was reduced.

AUTHOR COMMENT Yield management changes

the focus of aggregate planning from capacity

management to demand management.

Yield (or revenue) management Capacity decisions that determine the allocation of resources to maximize profit or yield.

426 PART 3 Managing Operations

American Airlines’s success in yield management spawned many other companies and industries to adopt the concept. Yield management in the hotel industry began in the late 1980s at Marriott International, which now claims an additional $400 million a year in profit from its management of revenue. The competing Omni hotel chain uses software that per- forms more than 100,000 calculations every night at each facility. The Dallas Omni, for example, charges its highest rates on weekdays but heavily discounts on weekends. Its sister hotel in San Antonio, which is in a more tourist-oriented destination, reverses this rating scheme, with better deals for its consumers on weekdays. Similarly, Walt Disney World has multiple prices: an annual admission pass for an adult was recently quoted at $421; but for a Florida resident, $318; for a member of the AAA, $307; and for active-duty military, $385. The OM in Action box “Yield Management at Hertz” describes this practice in the rental car industry.

Organizations that have perishable inventory, such as airlines, hotels, car rental agencies, cruise lines, and even electrical utilities, have the following shared characteristics that make yield management of interest3:

1. Service or product can be sold in advance of consumption. 2. Demand fluctuates. 3. The resource (capacity) is relatively fixed. 4. Demand can be segmented. 5. Variable costs are low and fixed costs are high.

Example 7 illustrates how yield management works in a hotel.

LO5: Understand and solve a yield management problem

EXAMPLE 7 � Yield management

The Cleveland Downtown Inn is a 100-room hotel that has historically charged one set price for its rooms, $150 per night. The variable cost of a room being occupied is low. Management believes the cleaning, air-conditioning, and incidental costs of soap, shampoo, and so forth, are $15 per room per night. Sales average 50 rooms per night. Figure 13.5 illustrates the current pricing scheme. Net sales are $6,750 per night with a single price point.

APPROACH � Analyze pricing from the perspective of yield management. We note in Figure 13.5 that some guests would have been willing to spend more than $150 per room—“money left on the table.” Others would be willing to pay more than the variable cost of $15 but less than $150—“passed-up contribution.”

3R. Oberwetter, “Revenue Management,” OR/MS Today (June 2001): 41–44.

For over 90 years, Hertz has been renting standard cars for a fixed amount per day. During the past two decades, however, a significant increase in demand has derived from airline travelers flying for business purposes. As the auto-rental market has changed and matured, Hertz has offered more options, including allowing customers to pick up and drop off in different locations. This option has resulted in excess capacity in some cities and shortages in others.

These shortages and overages alerted Hertz to the need for a yield management system similar to those used in the airline industry. The system is used to set prices, regulate the movement, and ultimately determine the availability of cars at each location. Through research, Hertz found that different city locations peak on different days of the week. So cars are moved to peak-demand locations from locations where the demand is low. By altering both the

price and quantity of cars at various locations, Hertz has been able to increase “yield” and boost revenue.

The yield management system is primarily used by

regional and local managers to better deal with changes in demand in the U.S. market. Hertz’s plan to go global with the system, however, faces major challenges in foreign countries, where restrictions against moving empty cars across national borders are common.

Sources: The Wall Street Journal (December 30, 2003): D1 and (March 3, 2000): W-4; and Cornell Hotel and Restaurant Quarterly (December 2001): 33–46.

OM in Action � Yield Management at Hertz

Chapter 13 Aggregate Planning 427

Passed-up contribution

Money left on the table

Demand curve

100

50

Potential customers exist who are willing to pay more than the $15 variable cost of the room, but not $150.

Some customers who paid $150 were actually willing to pay more for the room.

Total $ contribution = (Price) × (50 rooms) = ($150 � $15)(50) = $6,750

$15 Variable cost

of room (e.g., cleaning, A/C)

$150 Price charged

for room

Price

Room Sales � FIGURE 13.5 Hotel Sets Only One Price Level

INSIGHT � Yield management has increased total contribution to $8,100 ($2,550 from $100 rooms and $5,550 from $200 rooms). It may be that even more price levels are called for at Cleveland Downtown Inn.

LEARNING EXERCISE � If the hotel develops a third price of $150 and can sell half of the $100 rooms at the increased rate, what is the contribution? [Answer: $8,850 = (15 � $85) + (15 � $135) + 30 � $185).]

RELATED PROBLEM � 13.22

SOLUTION � In Figure 13.6, the inn decides to set two price levels. It estimates that 30 rooms per night can be sold at $100 and another 30 rooms at $200, using yield management software that is widely available.

Demand curve Total $ contribution =

(1st price) � 30 rooms + (2nd price) � 30 rooms = ($100 � $15) � 30 + ($200 � $15) � 30 =

$2,550 + $5,550 = $8,100

$15 Variable

cost of room

100

60

30

$100 Price 1

for room

$200 Price 2

for room

Price

Room Sales � FIGURE 13.6 Hotel with Two Price Levels

Industries traditionally associated with revenue management operate in quadrant 2 of Figure 13.7. They are able to apply variable pricing for their product and control product use or availability (number of airline seats or hotel rooms sold at economy rate). On the other hand, movie theaters, arenas, or performing arts centers (quadrant 1) have less pricing flexibility but still use time (evening or matinee) and location (orchestra, side, or balcony) to manage revenue. In both cases, management has control over the amount of the resource used—both the quantity and the duration of the resource.

investment. Output from the aggre- gate schedule leads to a more detailed master production schedule, which is the basis for disaggregation, job scheduling, and MRP systems.

Aggregate plans for manufactur- ing firms and service systems are similar. Restaurants, air- lines, and hotels are all service systems that employ aggregate plans, and have an opportunity to implement yield manage- ment. But regardless of the industry or planning method, the most important issue is the implementation of the plan. In this respect, managers appear to be more comfortable with faster, less complex, and less mathematical approaches to planning.

428 PART 3 Managing Operations

� FIGURE 13.7 Yield Management Matrix Industries in quadrant 2 are traditionally associated with revenue management.

Source: Adapted from S. Kimes and K. McGuire, “Function Space Revenue Management,” Cornell Hotel and Restaurant Administration Quarterly 42, no. 6 (December 2001): 33–46.

Quadrant 1:

Movies Stadiums/arenas

Convention centers Hotel meeting space

Quadrant 2:

Hotels Airlines

Rental cars Cruise lines

Quadrant 3:

Restaurants Golf courses

Internet service providers

Quadrant 4:

Hospitals Continuing care

T e n

d t

o b

e u

n c e rt

a inU

s e

Tend to be fixed Tend to be variable

Price

T e n

d t

o b

e p

re d

ic ta

b le

In the lower half of Figure 13.7, the manager’s job is more difficult because the duration of the use of the resource is less controllable. However, with imagination, managers are using excess capacity even for these industries. For instance, the golf course may sell less desirable tee times at a reduced rate, and the restaurant may have an “early bird” special to generate business before the usual dinner hour.

To make yield management work, the company needs to manage three issues:

1. Multiple pricing structures: These structures must be feasible and appear logical (and preferably fair) to the customer. Such justification may take various forms, for example, first-class seats on an airline or the preferred starting time at a golf course. (See the Ethical Dilemma in the Lecture Guide & Activities Manual).

2. Forecasts of the use and duration of the use: How many economy seats should be available? How much will customers pay for a room with an ocean view?

3. Changes in demand: This means managing the increased use as more capacity is sold. It also means dealing with issues that occur because the pricing structure may not seem logical and fair to all customers. Finally, it means managing new issues, such as overbooking because the forecast was not perfect.

Precise pricing through yield management has substantial potential. Therefore, several firms now have software available to address the issue. These include NCR’s Teradata, SPS, DemandTec, and Oracle with Profit Logic.

CHAPTER SUMMARY Aggregate planning provides companies with a necessary weapon to help capture market shares in the global economy. The aggregate plan provides both manufacturing and service firms the ability to respond to changing customer demands while still producing at low-cost and high-quality levels.

Aggregate schedules set levels of inventory, production, subcontracting, and employment over an intermediate time range, usually 3 to 18 months. This chapter describes several aggregate planning techniques, ranging from the popular graphical approach to a variety of mathematical models such as linear programming.

The aggregate plan is an important responsibility of an oper- ations manager and a key to efficient use of existing capital

Chapter 13 Aggregate Planning 429

Key Terms

Aggregate planning (or aggregate scheduling (p. 410)

Scheduling decisions (p. 410) Disaggregation (p. 412) Master production schedule (p. 412)

Chase strategy (p. 414) Level scheduling (p. 415) Mixed strategy (p. 415) Graphical techniques (p. 415)

Transportation method of linear programming (p. 420)

Management coefficients model (p. 422) Yield (or revenue) management (p. 425)

Using Software for Aggregate Planning This section illustrates the use of Excel OM and POM for Windows in aggregate planning.

X Using Excel OM Excel OM’s Aggregate Planning module is demonstrated in Program 13.1. Again using data from Example 2, Program 13.1 provides input and some of the formulas used to compute the costs of regular time, overtime, subcontracting, holding, shortage, and increase or decrease in production. The user must provide the production plan for Excel OM to analyze.

Enter the demands in column B and the number of units produced in each period in column C.

Enter the costs. Regular time and overtime costs must be computed based on production hours and labor rates, i.e., 10*1.6 and 17*1.6.

= SUM(B17:B22)

= SUM(B25:L25) Although the first period inventory relies on the initial inventory (B12), the others rely on the previous inventory in column G. Thus inventory in the first period is computed somewhat differently than the inventory in the other periods. The formula for G22 is = G21 + SUM(C22:E22) – B22.

The IF function is used [with the command = IF(G17> 0, –G17, 0)] to determine whether the inventory is positive (and therefore held) or negative (and therefore short).

$99,200 $108,450

16 27.2 20

� PROGRAM 13.1 Using Excel OM for Aggregate Planning, with Example 2 Data

P Using POM for Windows The POM for Windows Aggregate Planning module performs aggregate or production planning for up to 90 time periods. Given a set of demands for future periods, you can try various plans to determine the low- est-cost plan based on holding, shortage, production, and changeover costs. Four methods are available for planning. More help is available on each after you choose the method. See Appendix IV for further details.

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 13.1 The roofing manufacturer described in Examples 1 to 4 of this chapter wishes to consider yet a fourth planning strategy (plan 4). This one maintains a constant workforce of eight people and uses overtime whenever necessary to meet demand. Use the information found in Table 13.3 on page 417. Again, assume beginning and ending inventories are equal to zero.

430 PART 3 Managing Operations

Plan 2 is still preferable at $105,152.

Month Production

Days

Production at 40

Units per Day

Beginning- of-Month Inventory

Forecast Demand This

Month

Overtime Production

Needed Ending

Inventory

Jan. 22 880 — 900 20 units 0 units Feb. 18 720 0 700 0 units 20 units Mar. 21 840 20 800 0 units 60 units Apr. 21 840 60 1,200 300 units 0 units May 22 880 0 1,500 620 units 0 units June 20 800 0 1,100 300 units 0 units

1,240 units 80 units

Plan 4

Costs (workforce of 8 plus overtime)

Carrying cost $ 400 180 units carried * $5>unit2 Regular labor 79,360 18 workers * $80>day * 124 days2 Overtime 33,728 11,984 hours * $17>hour2 Hiring or firing 0 Subcontracting 0 Total costs $113,488

Regular pay:

Overtime pay: To produce 1,240 units at overtime rate requires

Overtime cost = $17>hour * 1,984 hours = $33,728

1,240 * 1.6 hours>unit = 1,984 hours.

8 workers * $80>day * 124 days = $79,360

Carrying cost totals = 80 units * $5>unit>month = $400

� SOLVED PROBLEM 13.2 A Dover, Delaware, plant has developed the accompanying sup- ply, demand, cost, and inventory data. The firm has a constant workforce and meets all its demand. Allocate production capac- ity to satisfy demand at a minimum cost. What is the cost of this plan?

Supply Capacity Available (units)

Period Regular Time Overtime Subcontract

1 300 50 200 2 400 50 200 3 450 50 200

Other Data

Initial inventory 50 units Regular-time cost per unit $50 Overtime cost per unit $65 Subcontract cost per unit $80 Carrying cost per unit per period $ 1 Back order cost per unit per period $ 4

Demand Forecast

Period Demand (units)

1 450 2 550 3 750

� SOLUTION Employ eight workers and use overtime when necessary. Note that carrying costs will be encountered in this plan.

Chapter 13 Aggregate Planning 431

Cost of plan:

$99,300 *Includes 50 units of subcontract and carrying cost.

Total cost

Period 3: 50($81) + 450($50) + 50($65) + 200($80) = $45,800* Period 2: 400($50) + 50($65) + 100($80) = $31,250 Period 1: 50($0) + 300($50) + 50($65) + 50($80) = $22,250

� SOLUTION

DEMAND FOR

TOTAL Unused CAPACITY

Capacity AVAILABLE SUPPLY FROM Period 1 Period 2 Period 3 (dummy) (supply)

0 1 2 0

Beginning inventory 50 50

50 51 52 0

Regular time 300 300

65 66 67 0

Period Overtime 50 50

1 80 81 82 0

Subcontract 50 150 200

54 50 51 0

Regular time 400 400

69 65 66 0

Period Overtime 50 50

2 84 80 81 0

Subcontract 100 50 50 200

58 54 50 0

Regular time 450 450

73 69 65 0

Period Overtime 50 50

3 88 84 80 0

Subcontract 200 200

TOTAL DEMAND 450 550 750 200 1,950

Bibliography

Chen, Fangruo. “Salesforce Initiative, Market Information, and Production/Inventory Planning.” Management Science 51, no. 1 (January 2005): 60–75.

Hopp, Wallace J., and Mark L. Spearman. Factory Physics, 3rd ed. New York: Irwin/McGraw-Hill (2008).

Kimes, S. E., and G. M. Thompson. “Restaurant Revenue Management at Chevy’s.” Decision Sciences 35, no. 3 (Summer 2004): 371–393.

Metters, R., K. King-Metters, M. Pullman, and S. Walton. Successful Service Operations Management. 2nd ed. Mason, OH: Thompson-South-Western (2006).

Metters, Richard, et al. “The ‘Killer Application’ of Revenue Management: Harrah’s Cherokee Casino and Hotel.” Interfaces 38, no. 3 (May–June 2008): 161–178.

Mukhopadhyay, S., S. Samaddar, and G. Colville. “Improving Revenue Management Decision Making for Airlines.” Decision Science 38, no. 2 (May 2007): 309–327.

Plambeck, Erica L., and Terry A. Taylor. “Sell the Plant? The Impact of Contract Manufacturing on Innovation, Capacity, and Profitability.” Management Science 51, no. 1 (January 2005): 133–150.

Silver, E. A., D. F. Pyke, and R. Peterson. Inventory Management and Production Planning and Scheduling. New York: Wiley (1998).

Vollmann, T. E., W. L. Berry, D. C. Whybark, and F. R. Jacobs. Manufacturing Planning and Control for Supply Chain Management, 5th ed. Burr Ridge, IL: Irwin (2005).

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Cornwell Glass: Involves setting a production schedule for an auto glass producer.

This page intentionally left blank

Material Requirements Planning (MRP) and ERP

Chapter Outline

GLOBAL COMPANY PROFILE: WHEELED COACH

Dependent Demand 436

Dependent Inventory Model Requirements 436

MRP Structure 441

MRP Management 446

Lot-Sizing Techniques 447

Extensions of MRP 451

MRP in Services 454

Enterprise Resource Planning (ERP) 455 � Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management � Independent Demand

� Dependent Demand

� JIT and Lean Operations

� Scheduling

� Maintenance

433

GLOBAL COMPANY PROFILE: WHEELED COACH

MRP PROVIDES A COMPETITIVE ADVANTAGE FOR WHEELED COACH

W heeled Coach, headquartered in Winter

Park, Florida, is the largest

manufacturer of ambulances in the

world. The $200 million firm is an

international competitor that sells more than 25% of

its vehicles to markets outside the U.S. Twelve major

ambulance designs are produced on assembly lines

(i.e., a repetitive process) at the Florida plant, using

18,000 different inventory items, of which 6,000 are

manufactured and 12,000 purchased. Most of the

product line is custom designed and assembled to

meet the specific and often unique requirements

This cutaway of one ambulance interior indicates the complexity of the product, which for some rural locations may be the equivalent of a hospital emergency room in miniature. To complicate production, virtually every ambulance is custom ordered. This customization necessitates precise orders, excellent bills of materials, exceptional inventory control from supplier to assembly, and an MRP system that works.

Wheeled Coach uses work cells to feed the assembly line. It maintains a complete carpentry shop (to provide interior cabinetry), a paint shop (to prepare, paint, and detail each vehicle), an electrical shop (to provide for the complex electronics in a modern ambulance), an upholstery shop (to make interior seats and benches), and as shown here, a metal fabrication shop (to construct the shell of the ambulance).

434

On six parallel lines, ambulances move forward each day to the next workstation. The MRP system makes certain that just the materials needed at each station arrive overnight for assembly the next day.

demanded by the ambulance’s application and

customer preferences.

This variety of products and the nature of the

process demand good material requirements planning.

Effective use of an MRP system requires accurate bills

of material and inventory records. The Wheeled Coach

system, which uses MAPICS DB software, provides

daily updates and has reduced inventory by more than

30% in just 2 years.

Wheeled Coach insists that four key tasks be

performed properly. First, the material plan must meet

both the requirements of the master schedule and the

capabilities of the production facility. Second, the plan

must be executed as designed. Third, inventory

investment must be minimized through effective “time-

phased” material deliveries, consignment inventories,

and a constant review of purchase methods. Finally,

excellent record integrity must be maintained. Record

accuracy is recognized as a fundamental ingredient of

Wheeled Coach’s successful MRP program. Its cycle

counters are charged with material audits that not only

correct errors but also investigate and correct problems.

Wheeled Coach Industries uses MRP as the

catalyst for low inventory, high quality, tight schedules,

and accurate records. Wheeled Coach has found

competitive advantage via MRP.

Here an employee is installing the wiring for an ambulance. There are an average of 15 miles of wire in a Wheeled Coach vehicle. This compares to 17 miles of wire in a sophisticated F-16 fighter jet.

VIDEO 14.1 MRP at Wheeled Coach

Ambulances

WHEELED COACH �

435

LO1: Develop a product structure 439

LO2: Build a gross requirements plan 442

LO3: Build a net requirements plan 445

LO4: Determine lot sizes for lot-for-lot, EOQ, and PPB 448

436 PART 3 Managing Operations

Chapter 14 Learning Objectives

DEPENDENT DEMAND Wheeled Coach, the subject of the Global Company Profile, and many other firms have found important benefits in MRP. These benefits include (1) better response to customer orders as the result of improved adherence to schedules, (2) faster response to market changes, (3) improved utilization of facilities and labor, and (4) reduced inventory levels. Better response to customer orders and to the market wins orders and market share. Better utiliza- tion of facilities and labor yields higher productivity and return on investment. Less inventory frees up capital and floor space for other uses. These benefits are the result of a strategic deci- sion to use a dependent inventory scheduling system. Demand for every component of an ambulance is dependent.

Demand for items is dependent when the relationship between the items can be determined. Therefore, once management receives an order or makes a forecast for the final product, quanti- ties for all components can be computed. All components are dependent items. The Boeing Aircraft operations manager who schedules production of one plane per week, for example, knows the requirements down to the last rivet. For any product, all components of that product are dependent demand items. More generally, for any product for which a schedule can be estab- lished, dependent techniques should be used.

When the requirements of MRP are met, dependent models are preferable to the EOQ models described in Chapter 12.1 Dependent models are better not only for manufacturers and distribu- tors but also for a wide variety of firms from restaurants to hospitals. The dependent technique used in a production environment is called material requirements planning (MRP).

Because MRP provides such a clean structure for dependent demand, it has evolved as the basis for Enterprise Resource Planning (ERP). ERP is an information system for identifying and planning the enterprise-wide resources needed to take, make, ship, and account for customer orders. We will discuss ERP in the latter part of this chapter.

DEPENDENT INVENTORY MODEL REQUIREMENTS Effective use of dependent inventory models requires that the operations manager know the following:

1. Master production schedule (what is to be made and when) 2. Specifications or bill of material (materials and parts required to make the product) 3. Inventory availability (what is in stock) 4. Purchase orders outstanding (what is on order, also called expected receipts) 5. Lead times (how long it takes to get various components)

We now discuss each of these requirements in the context of material requirements planning.

Master Production Schedule A master production schedule (MPS) specifies what is to be made (i.e., the number of finished products or items) and when. The schedule must be in accordance with a production plan. The production plan sets the overall level of output in broad terms (e.g., product families, standard

LO5: Describe MRP II 452

LO6: Describe closed-loop MRP 452

LO7: Describe ERP 455

AUTHOR COMMENT “Dependent demand” means the demand for one item is related to the demand for

another item.

Material requirements planning (MRP) A dependent demand technique that uses a bill-of-material, inventory, expected receipts, and a master production schedule to determine material requirements.

1The inventory models (EOQ) discussed in Chapter 12 assumed that the demand for one item was independent of the demand for another item. For example, EOQ assumes the demand for refrigerator parts is independent of the demand for refrigerators and that demand for parts is constant.

Master production schedule (MPS) A timetable that specifies what is to be made and when.

Chapter 14 Material Requirements Planning (MRP) and ERP 437

Aggregate production

plan

Management Return on investment Capital

Engineering Design completion

Human resources Staff planning

Finance Cash flow

Marketing Customer demand

Production Capacity Inventory

Procurement Supplier performance

Master production schedule

Material requirements plan

Capacity requirements plan

Realistic?

Execute capacity plans

Execute material plans

Yes

Change capacity?

No

Change requirements?

Change master production schedule?

Is execution meeting the plan?

Is capacity plan being met?

Change production plan?

� FIGURE 14.1 The Planning Process

hours, or dollar volume). The plan also includes a variety of inputs, including financial plans, customer demand, engineering capabilities, labor availability, inventory fluctuations, supplier performance, and other considerations. Each of these inputs contributes in its own way to the production plan, as shown in Figure 14.1

As the planning process moves from the production plan to execution, each of the lower-level plans must be feasible. When one is not, feedback to the next higher level is used to make the necessary adjustment. One of the major strengths of MRP is its ability to determine precisely the feasibility of a schedule within aggregate capacity constraints. This planning process can yield excellent results. The production plan sets the upper and lower bounds on the master production schedule. The result of this production planning process is the master production schedule.

The master production schedule tells us what is required to satisfy demand and meet the produc- tion plan. This schedule establishes what items to make and when: It disaggregates the aggregate production plan. While the aggregate production plan (as discussed in Chapter 13) is established in gross terms such as families of products or tons of steel, the master production schedule is estab- lished in terms of specific products. Figure 14.2 shows the master production schedules for three stereo models that flow from the aggregate production plan for a family of stereo amplifiers.

Managers must adhere to the schedule for a reasonable length of time (usually a major portion of the production cycle—the time it takes to produce a product). Many organizations establish a master production schedule and establish a policy of not changing (“fixing”) the near-term portion of the plan. This near-term portion of the plan is then referred to as the “fixed,” “firm,” or “frozen”

AUTHOR COMMENT

The master production schedule is derived from the

aggregate schedule.

438 PART 3 Managing Operations

schedule. Wheeled Coach, the subject of the Global Company Profile for this chapter, fixes the last 14 days of its schedule. Only changes farther out, beyond the fixed schedule, are permitted. The master production schedule is a “rolling” production schedule. For example, a fixed 7-week plan has an additional week added to it as each week is completed, so a 7-week fixed schedule is maintained. Note that the master production schedule is a statement of what is to be produced, not a forecast of demand. The master schedule can be expressed in any of the following terms:

1. A customer order in a job shop (make-to-order) company 2. Modules in a repetitive (assemble-to-order or forecast) company 3. An end item in a continuous (stock-to-forecast) company

This relationship of the master production schedule to the processes is shown in Figure 14.3. A master production schedule for two of Nancy’s Specialty Foods’ products, crabmeat quiche

and spinach quiche, might look like Table 14.1.

Bills of Material Defining what goes into a product may seem simple, but it can be difficult in practice. As we noted in Chapter 5, to aid this process, manufactured items are defined via a bill of material. A bill of material (BOM) is a list of quantities of components, ingredients, and materials required to make a product. Individual drawings describe not only physical dimensions but also any spe- cial processing as well as the raw material from which each part is made. Nancy’s Specialty

Months

Aggregate Production Plan (Shows the total quantity of amplifiers)

1,500 1,200

Master Production Schedule (Shows the specific type and quantity of amplifier to be produced)

240-watt amplifier

150-watt amplifier

75-watt amplifier

100

500

100

500

100

450

100

450

300 100

Weeks 1

January February

2 3 4 5 6 7 8

� FIGURE 14.2 The Aggregate Production Plan Is the Basis for Development of the Detailed Master Production Schedule

Make to Order Assemble to Order or Forecast

Stock to Forecast

(Process Focus) (Repetitive) (Product Focus)

Schedule finished product

Schedule orders

Schedule modules

Examples: Print shop Machine shop

Fine-dining restaurant

Motorcycles Autos, TVs

Fast-food restaurant

Steel, Beer, Bread Lightbulbs

Paper

Number of end items

Number of inputs

Typical focus of the master production schedule

� FIGURE 14.3 Typical Focus of the Master Production Schedule in Three Process Strategies

Bill of material (BOM) A listing of the components, their description, and the quantity of each required to make one unit of a product.

AUTHOR COMMENT The type of process

determines the units in the master production schedule.

Chapter 14 Material Requirements Planning (MRP) and ERP 439

Foods has a recipe for quiche, specifying ingredients and quantities, just as Wheeled Coach has a full set of drawings for an ambulance. Both are bills of material (although we call one a recipe, and they do vary somewhat in scope).

Because there is often a rush to get a new product to market, however, drawings and bills of material may be incomplete or even nonexistent. Moreover, complete drawings and BOMs (as well as other forms of specifications) often contain errors in dimensions, quantities, or countless other areas. When errors are identified, engineering change notices (ECNs) are created, further complicating the process. An engineering change notice is a change or correction to an engineer- ing drawing or bill of material.

One way a bill of material defines a product is by providing a product structure. Example 1 shows how to develop the product structure and “explode” it to reveal the requirements for each component. A bill of material for item A in Example 1 consists of items B and C. Items above any level are called parents; items below any level are called components or children. By conven- tion, the top level in a BOM is the 0 level.

Gross Requirements for Crabmeat Quiche

Day 6 7 8 9 10 11 12 13 14 and so on Amount 50 100 47 60 110 75

Gross Requirements for Spinach Quiche

Day 7 8 9 10 11 12 13 14 15 16 and so on Amount 100 200 150 60 75 100

� EXAMPLE 1 Developing a product structure and gross requirements

Speaker Kits, Inc., packages high-fidelity components for mail order. Components for the top-of-the- line speaker kit, “Awesome” (A), include 2 standard 12-inch speaker kits (Bs) and 3 speaker kits with amp-boosters (Cs).

Each B consists of 2 speakers (Ds) and 2 shipping boxes each with an installation kit (E). Each of the three 300-watt speaker kits (Cs) has 2 speaker boosters (Fs) and 2 installation kits (Es). Each speaker booster (F) includes 2 speakers (Ds) and 1 amp-booster (G). The total for each Awesome is 4 standard 12-inch speakers and twelve 12-inch speakers with the amp-booster. (Most purchasers require hearing aids within 3 years, and at least one court case is pending because of structural damage to a men’s dormitory.) As we can see, the demand for B, C, D, E, F, and G is completely dependent on the master production schedule for A—the Awesome speaker kits.

APPROACH � Given the above information, we construct a product structure and “explode” the requirements.

SOLUTION � This structure has four levels: 0, 1, 2, and 3. There are four parents: A, B, C, and F. Each parent item has at least one level below it. Items B, C, D, E, F, and G are components because each item has at least one level above it. In this structure, B, C, and F are both parents and components. The number in parentheses indicates how many units of that particular item are needed to make the item immediately above it. Thus, B(2) means that it takes two units of B for every unit of A, and F(2) means that it takes two units of F for every unit of C.

A

Packing box and installation kit of wire,

bolts, and screws

Amp-booster

12" Speaker

0

1

2

3

Product structure for “Awesome” (A)Level

B(2) Std. 12" Speaker kit C(3)

E(2) F(2)

G(1) D(2)D(2)

E(2)

Std. 12" Speaker kit w/ amp-booster

Std. 12" Speaker booster assembly

12" Speaker

LO1: Develop a product structure

� TABLE 14.1 Master Production Schedule for Crabmeat Quiche and Spinach Quiche at Nancy’s Specialty Foods

440 PART 3 Managing Operations

Once we have developed the product structure, we can determine the number of units of each item required to satisfy demand for a new order of 50 Awesome speaker kits. We “explode” the require- ments as shown:

INSIGHT � We now have a visual picture of the Awesome speaker kit requirements and knowl- edge of the quantities required. Thus, for 50 units of A, we will need 100 units of B, 150 units of C, 800 units of D, 500 units of E, 300 units of F, and 300 units of G.

LEARNING EXERCISE � If there are 100 Fs in stock, how many Ds do you need? [Answer: 600.]

RELATED PROBLEMS � 14.1, 14.3a, 14.13a, 14.25a

Part B: 2 * number of As = 1221502 = 100 Part C: 3 * number of As = 1321502 = 150 Part D: 2 * number of Bs + 2 * number of Fs = 12211002 + 12213002 = 800 Part E: 2 * number of Bs + 2 * number of Cs = 12211002 + 12211502 = 500 Part F: 2 * number of Cs = 12211502 = 300 Part G: 1 * number of Fs = 11213002 = 300

Bills of material not only specify requirements but also are useful for costing, and they can serve as a list of items to be issued to production or assembly personnel. When bills of material are used in this way, they are usually called pick lists.

Modular Bills Bills of material may be organized around product modules (see Chapter 5). Modules are not final products to be sold but are components that can be produced and assem- bled into units. They are often major components of the final product or product options. Bills of material for modules are called modular bills. Bills of material are sometimes organized as modules (rather than as part of a final product) because production scheduling and production are often facilitated by organizing around relatively few modules rather than a multitude of final assemblies. For instance, a firm may make 138,000 different final products but may have only 40 modules that are mixed and matched to produce those 138,000 final products. The firm builds an aggregate production plan and prepares its master production schedule for the 40 modules, not the 138,000 configurations of the final product. This approach allows the MPS to be prepared for a reasonable number of items (the narrow portion of the middle graphic in Figure 14.3) and to postpone assembly. The 40 modules can then be configured for specific orders at final assembly.

Planning Bills and Phantom Bills Two other special kinds of bills of material are planning bills and phantom bills. Planning bills (sometimes called “pseudo” bills or super bills) are cre- ated in order to assign an artificial parent to the bill of material. Such bills are used (1) when we want to group subassemblies so the number of items to be scheduled is reduced and (2) when we want to issue “kits” to the production department. For instance, it may not be efficient to issue inexpensive items such as washers and cotter pins with each of numerous subassemblies, so we call this a kit and generate a planning bill. The planning bill specifies the kit to be issued. Consequently, a planning bill may also be known as kitted material, or kit. Phantom bills of material are bills of material for components, usually subassemblies, that exist only temporarily. These components go directly into another assembly and are never inventoried. Therefore, com- ponents of phantom bills of material are coded to receive special treatment; lead times are zero, and they are handled as an integral part of their parent item. An example is a transmission shaft with gears and bearings assembly that is placed directly into a transmission.

Low-Level Coding Low-level coding of an item in a BOM is necessary when identical items exist at various levels in the BOM. Low-level coding means that the item is coded at the lowest level at which it occurs. For example, item D in Example 1 is coded at the lowest level at which it is used. Item D could be coded as part of B and occur at level 2. However, because D is also part of F, and F is level 2, item D becomes a level-3 item. Low-level coding is a convention to allow easy computing of the requirements of an item. When the BOM has thousands of items or when requirements are frequently recomputed, the ease and speed of computation become a major concern.

Modular bills Bills of material organized by major subassemblies or by product options.

Planning bills (or kits) A material grouping created in order to assign an artificial parent to a bill of material; also called “pseudo” bills.

Phantom bills of material Bills of material for components, usually assemblies, that exist only temporarily; they are never inventoried.

Low-level coding A number that identifies items at the lowest level at which they occur.

Chapter 14 Material Requirements Planning (MRP) and ERP 441

Accurate Inventory Records As we saw in Chapter 12, knowledge of what is in stock is the result of good inventory manage- ment. Good inventory management is an absolute necessity for an MRP system to work. If the firm does not exceed 99% record accuracy, then material requirements planning will not work.2

Purchase Orders Outstanding Knowledge of outstanding orders exists as a by-product of well-managed purchasing and inven- tory-control departments. When purchase orders are executed, records of those orders and their scheduled delivery dates must be available to production personnel. Only with good purchasing data can managers prepare meaningful production plans and effectively execute an MRP system.

Lead Times for Components Once managers determine when products are needed, they determine when to acquire them. The time required to acquire (that is, purchase, produce, or assemble) an item is known as lead time. Lead time for a manufactured item consists of move, setup, and assembly or run times for each component. For a purchased item, the lead time includes the time between recognition of need for an order and when it is available for production.

When the bill of material for Awesome speaker kits (As), in Example 1, is turned on its side and modified by adding lead times for each component (see Table 14.2), we then have a time-phased product structure. Time in this structure is shown on the horizontal axis of Figure 14.4 with item A due for completion in week 8. Each component is then offset to accommodate lead times.

MRP STRUCTURE Although most MRP systems are computerized, the MRP procedure is straightforward and we can illustrate a small one by hand. A master production schedule, a bill of material, inventory and purchase records, and lead times for each item are the ingredients of a material requirements planning system (see Figure 14.5).

Lead time In purchasing systems, the time between recognition of the need for an order and receiving it; in production systems, it is the order, wait, move, queue, setup, and run times for each component.

2Record accuracy of 99% may sound good, but note that even when each component has an availability of 99% and a product has only seven components, the likelihood of a product being completed is only .932 (because )..997 = .932

� TABLE 14.2 Lead Times for Awesome Speaker Kits (As)

Lead Component Time

A 1 week B 2 weeks C 1 week D 1 week E 2 weeks F 3 weeks G 2 weeks

Time in weeks

1 2 3 4 5 6 7 8

D

G

F

E

C

B

A

E

D

2 weeks

2 weeks

2 weeks

2 weeks to produce

1 week

1 week

1 week

1 week

3 weeks

Must have D and E completed here so

production can begin on B

Start production of D

� FIGURE 14.4 Time-Phased Product Structure

AUTHOR COMMENT This is a product structure on

its side, with lead times.

442 PART 3 Managing Operations

Once these ingredients are available and accurate, the next step is to construct a gross mater- ial requirements plan. The gross material requirements plan is a schedule, as shown in Example 2. It combines a master production schedule (that requires one unit of A in week 8) and the time-phased schedule (Figure 14.4). It shows when an item must be ordered from suppliers if there is no inventory on hand or when the production of an item must be started to satisfy demand for the finished product by a particular date.

Gross material requirements plan A schedule that shows the total demand for an item (prior to subtraction of on-hand inventory and scheduled receipts) and (1) when it must be ordered from suppliers, or (2) when production must be started to meet its demand by a particular date.

EXAMPLE 2 � Building a gross requirements plan

Each Awesome speaker kit (item A of Example 1) requires all the items in the product structure for A. Lead times are shown in Table 14.2.

APPROACH � Using the information in Example 1 and Table 14.2, we construct the gross material requirements plan with a production schedule that will satisfy the demand of 50 units of A by week 8.

SOLUTION � We prepare a schedule as shown in Table 14.3.

MRP by period report

Planned order report

Purchase advice

MRP by date report

Order early or late or not needed

Order quantity too small or too large

Data Files

Material requirements

planning programs

(computer and software)

Master production schedule

Output Reports

Bill of material

Lead times

Inventory data

Purchasing data

(Item master file)

Exception reports

� FIGURE 14.5 Structure of the MRP System

AUTHOR COMMENT MRP software programs

are popular because manual approaches are slow

and error prone.

Week

1 2 3 4 5 6 7 8 Lead Time

A. Required date 50 Order release date 50 1 week

B. Required date 100 Order release date 100 2 weeks

C. Required date 150 Order release date 150 1 week

E. Required date 200 300 Order release date 200 300 2 weeks

F. Required date 300 Order release date 300 3 weeks

D. Required date 600 200 Order release date 600 200 1 week

G. Required date 300 Order release date 300 2 weeks

� TABLE 14.3 Gross Material Requirements Plan for 50 Awesome Speaker Kits (As)

LO2: Build a gross requirements plan

Chapter 14 Material Requirements Planning (MRP) and ERP 443

You can interpret the gross material requirements shown in Table 14.3 as follows: If you want 50 units of A at week 8, you must start assembling A in week 7. Thus, in week 7, you will need 100 units of B and 150 units of C. These two items take 2 weeks and 1 week, respectively, to produce. Production of B, therefore, should start in week 5, and production of C should start in week 6 (lead time subtracted from the required date for these items). Working backward, we can perform the same computations for all of the other items. Because D and E are used in two different places in Awesome speaker kits, there are two entries in each data record.

INSIGHT � The gross material requirements plan shows when production of each item should begin and end in order to have 50 units of A at week 8. Management now has an initial plan.

LEARNING EXERCISE � If the lead time for G decreases from 2 weeks to 1 week, what is the new order release date for G? [Answer: 300 in week 2.]

RELATED PROBLEMS � 14.2, 14.4, 14.6, 14.8b, 14.9, 14.10a, 14.11a, 14.13b, 14.25b

EXCEL OM Data File Ch14Ex2.xls can be found at www.pearsonhighered.com/heizer.

So far, we have considered gross material requirements, which assumes that there is no inventory on hand. When there is inventory on hand, we prepare a net requirements plan. When consid- ering on-hand inventory, we must realize that many items in inventory contain subassemblies or parts. If the gross requirement for Awesome speaker kits (As) is 100 and there are 20 of those speakers on hand, the net requirement for Awesome speaker kits (As) is 80 (that is, 100 – 20). However, each Awesome speaker kit on hand contains 2 Bs. As a result, the requirement for Bs drops by 40 Bs Therefore, if inventory is on hand for a par- ent item, the requirements for the parent item and all its components decrease because each Awesome kit contains the components for lower-level items. Example 3 shows how to create a net requirements plan.

120 A kits on hand * 2 Bs per A2.

� EXAMPLE 3 Determining net requirements

Speaker Kits, Inc., developed a product structure from a bill of material in Example 1. Example 2 developed a gross requirements plan. Given the following on-hand inventory, Speaker Kits, Inc., now wants to construct a net requirements plan.

APPROACH � A net material requirements plan includes gross requirements, on-hand inventory, net requirements, planned order receipt, and planned order release for each item. We begin with A and work backward through the components.

SOLUTION � Shown in the chart on the next page is the net material requirements plan for product A.

Constructing a net requirements plan is similar to constructing a gross requirements plan. Starting with item A, we work backward to determine net requirements for all items. To do these computations, we refer to the product structure, on-hand inventory, and lead times. The gross requirement for A is 50 units in week 8. Ten items are on hand; therefore, the net requirements and the scheduled planned order receipt are both 40 items in week 8. Because of the 1-week lead time, the planned order release is 40 items in week 7 (see the arrow connecting the order receipt and order release). Referring to week 7 and the product structure in Example 1, we can see that items of B and 120

items of C are required in week 7 to have a total for 50 items of A in week 8. The letter superscripted A to the right of the gross figure for items B and C was generated as a result of the demand for the parent, A. Performing the same type of analysis for B and C yields the net requirements for D, E, F, and G. Note the on-hand inventory in row E in week 6 is zero. It is zero because the on- hand inventory (10 units) was used to make B in week 5. By the same token, the inventory for D was used to make F in week 3.

INSIGHT � Once a net requirement plan is completed, management knows the quantities needed, an ordering schedule, and a production schedule for each component.

13 * 402 80 12 * 402

Item On Hand Item On Hand

A 10 E 10 B 15 F 5 C 20 G 0 D 10

Net material requirements The result of adjusting gross requirements for inventory on hand and scheduled receipts.

Planned order receipt The quantity planned to be received at a future date.

Planned order release The scheduled date for an order to be released.

444 PART 3 Managing Operations

1

15 1515 15 15 15 15 15

80A

120A

65 65

65

Gross RequirementsA0——101Lot- for- Lot

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

2 3 4 5

Week

6 7 8

Lot Size

Lead Time

(weeks)

On Hand

Safety Stock

Allo- cated

Low- Level Code

Item Identi- fication

200 120 120

120

195 195

195

20 2020 20 20 20 20 20 100 100

100

Gross RequirementsB1——152Lot- for- Lot

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

10 1010 10 10 10 10 10 10

50

40 40

40

Gross RequirementsC1——201Lot- for- Lot

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

10 1010 10 10 10

130B

130B390F

195F

200C

200C

200 200

Gross RequirementsE2——102Lot- for- Lot

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

5 55 5 5 5 5 195 195

195

Gross RequirementsF2——53Lot- for- Lot

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

10 1010 10 130 130

130

Gross RequirementsD3——101Lot- for- Lot

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

380 380

380

0

Gross RequirementsG3——02Lot- for- Lot

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

� Net Material Requirements Plan for Product A (the superscript is the source of the demand)

LEARNING EXERCISE � If the on-hand inventory quantity of component F is 95 rather than 5, how many units of G will need to be ordered in week 1? [Answer: 105 units.]

RELATED PROBLEMS � 14.5, 14.7, 14.8c, 14.10b, 14.11b, 14.12, 14.13c, 14.14b, 14.15a,b,c, 14.16a, 14.25c, 14.27

EXCEL OM Data File Ch14Ex3.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 14.1 This example is further illustrated in Active Model 14.1 at www.pearsonhighered.com/heizer.

Examples 2 and 3 considered only product A, the Awesome speaker kit, and its completion only in week 8. Fifty units of A were required in week 8. Normally, however, there is a demand for many products over time. For each product, management must prepare a master production schedule (as we saw earlier in Table 14.1). Scheduled production of each product is added to the

Chapter 14 Material Requirements Planning (MRP) and ERP 445

LO3: Build a net requirements plan

master schedule and ultimately to the net material requirements plan. Figure 14.6 shows how several product schedules, including requirements for components sold directly, can contribute to one gross material requirements plan.

Most inventory systems also note the number of units in inventory that have been assigned to specific future production but not yet used or issued from the stockroom. Such items are often referred to as allocated items. Allocated items increase requirements and may then be included in an MRP planning sheet, as shown in Figure 14.7.

The allocated quantity has the effect of increasing the requirements (or, alternatively, reducing the quantity on hand). The logic, then, of a net requirements MRP is:

Safety Stock The continuing task of operations managers is to remove variability. This is the case in MRP systems as in other operations systems. Realistically, however, managers need to realize that bills of material and inventory records, like purchase and production quantities, as well as lead times, may not be perfect. This means that some consideration of safety stock may be prudent. Because of the significant domino effect of any change in requirements, safety stock should be minimized, with a goal of ultimate elimination. When safety stock is deemed absolutely necessary, the usual policy is to build it into the projected on-hand inventory of the MRP logic. Distortion can be minimized when safety stock is held at the finished goods level and at the purchased component or raw material level.

[(Gross requirements) + (Allocations)]

Total requirements

- [(On hand) + (Scheduled receipts)]

Available inventory

= Net requirements

Lot Size

Lead Time

On Hand

Safety Stock

Allocated Low- Level Code

Item ID

1 2 3 4 5 6 7 8

Period

Gross Requirements Scheduled Receipts Projected On Hand Net Requirements Planned Order Receipts Planned Order Releases

� FIGURE 14.7 Sample MRP Planning Sheet for Item Z

A

B C B C

S

5 6 7 8 9 10 11

40 50 15

8 9 10 11

40

12 13

3020

1

10

2

10

3

Master schedule for B

sold directly Lead time = 6 for S

Master schedule for S Lead time = 4 for A

Master schedule for A

7 8654321

15+30 =45

40+10 =50 20504010

Therefore, these are the gross requirements for B

Gross requirements: B

Periods

Periods

� FIGURE 14.6 Several Schedules Contributing to a Gross Requirements Schedule for B One B is in each A, and one B is in each S; in addition, 10 Bs sold directly are scheduled in week 1, and 10 more that are sold directly are scheduled in week 2.

AUTHOR COMMENT MRP gross requirements

can combine multiple products, spare parts, and

items sold directly.

446 PART 3 Managing Operations

MRP MANAGEMENT The material requirements plan is not static. And since MRP systems increasingly are integrated with just-in-time (JIT) techniques, we now discuss these two issues.

MRP Dynamics Bills of material and material requirements plans are altered as changes in design, schedules, and production processes occur. In addition, changes occur in material requirements whenever the mas- ter production schedule is modified. Regardless of the cause of any changes, the MRP model can be manipulated to reflect them. In this manner, an up-to-date requirements schedule is possible.

The inputs to MRP (the master schedule, BOM, lead times, purchasing, and inventory) fre- quently change. Conveniently, a central strength of MRP systems is timely and accurate replan- ning. This occurs in one of two ways: by recomputing (also known as “regenerating”) the requirement and schedule periodically, often weekly, or via a “net change” calculation. Net change in an MRP system means the MRP system creates new requirements in response to trans- actions. However, many firms find they do not want to respond to minor scheduling or quantity changes even if they are aware of them. These frequent changes generate what is called system nervousness and can create havoc in purchasing and production departments if implemented. Consequently, OM personnel reduce such nervousness by evaluating the need and impact of changes prior to disseminating requests to other departments. Two tools are particularly helpful when trying to reduce MRP system nervousness.

The first is time fences. Time fences allow a segment of the master schedule to be designated as “not to be rescheduled.” This segment of the master schedule is therefore not changed during the periodic regeneration of schedules. The second tool is pegging. Pegging means tracing upward in the BOM from the component to the parent item. By pegging upward, the production planner can determine the cause for the requirement and make a judgment about the necessity for a change in the schedule.

With MRP, the operations manager can react to the dynamics of the real world. How fre- quently the manager wishes to impose those changes on the firm requires professional judgment. Moreover, if the nervousness is caused by legitimate changes, then the proper response may be to investigate the production environment—not adjust via MRP.

MRP and JIT MRP does not do detailed scheduling—it plans. MRP will tell you that a job needs to be com- pleted on a certain week or day but does not tell you that Job X needs to run on Machine A at 10:30 A.M. and be completed by 11:30 A.M. so that Job X can then run on machine B. MRP is also a planning technique with fixed lead times. Fixed lead times can be a limitation. For instance, the lead time to produce 50 units may vary substantially from the lead time to produce 5 units. These limitations complicate the marriage of MRP and just-in-time (JIT). What is needed is a way to make MRP more responsive to moving material rapidly in small batches. An MRP system combined with JIT can provide the best of both worlds. MRP provides the plan and an accurate picture of requirements; then JIT rapidly moves material in small batches, reducing work-in-process inventory. Let’s look at four approaches for integrating MRP and JIT: finite capacity scheduling, small buckets, balanced flow, and supermarkets.

Finite Capacity Scheduling (FCS) Most MRP software loads work into infinite size “buckets.” The buckets are time units, usually one week. Traditionally, when work is to be done in a given week, MRP puts the work there without regard to capacity. Consequently, MRP is con- sidered an infinite scheduling technique. Frequently, as you might suspect, this is not realistic. Finite capacity scheduling (FCS), which we discuss in Chapter 15, considers department and machine capacity, which is finite, hence the name. FCS provides the precise scheduling needed for rapid material movement. We are now witnessing a convergence of FCS and MRP. Sophisticated FCS systems modify the output from MRP systems to provide a finite schedule.

Small Bucket Approach MRP is an excellent tool for resource and scheduling manage- ment in process-focused facilities, that is, in job shops. Such facilities include machine shops, hospitals, and restaurants, where lead times are relatively stable and poor balance between

System nervousness Frequent changes in an MRP system.

Time fences A means for allowing a segment of the master schedule to be designated as “not to be rescheduled.”

Pegging In material requirements planning systems, tracing upward in the bill of material from the component to the parent item.

Buckets Time units in a material requirements planning system.

AUTHOR COMMENT Using MRP to the utmost

is serious work.

Chapter 14 Material Requirements Planning (MRP) and ERP 447

work centers is expected. Schedules are often driven by work orders, and lot sizes are the exploded bill-of-material size. In these enterprises, MRP can be integrated with JIT through the following steps.

STEP 1: Reduce MRP “buckets” from weekly to daily to perhaps hourly. Buckets are time units in an MRP system. Although the examples in this chapter have used weekly time buckets, many firms now use daily or even fraction-of-a-day time buckets. Some systems use a bucketless system in which all time-phased data have dates attached rather than defined time periods or buckets.

STEP 2: The planned receipts that are part of a firm’s planned orders in an MRP system are com- municated to the work areas for production purposes and used to sequence production.

STEP 3: Inventory is moved through the plant on a JIT basis. STEP 4: As products are completed, they are moved into inventory (typically finished-goods

inventory) in the normal way. Receipt of these products into inventory reduces the quantities required for subsequent planned orders in the MRP system.

STEP 5: A system known as back flush is used to reduce inventory balances. Back flushing uses the bill of material to deduct component quantities from inventory as each unit is completed.

The focus in these facilities becomes one of maintaining schedules. Nissan achieves success with this approach by computer communication links to suppliers. These schedules are con- firmed, updated, or changed every 15 to 20 minutes. Suppliers provide deliveries 4 to 16 times per day. Master schedule performance is 99% on time, as measured every hour. On-time delivery from suppliers is 99.9% and for manufactured piece parts, 99.5%.

Balanced Flow Approach MRP supports the planning and scheduling necessary for repeti- tive operations, such as the assembly lines at Harley-Davidson, Whirlpool, and a thousand other places. In these environments, the planning portion of MRP is combined with JIT execution. The JIT portion uses kanbans, visual signals, and reliable suppliers to pull the material through the facility. In these systems, execution is achieved by maintaining a carefully balanced flow of material to assembly areas with small lot sizes.

Supermarket Another technique that joins MRP and JIT is the use of a “supermarket.” In many firms, subassemblies, their components, and hardware items are common to a variety of products. In such cases, releasing orders for these common items with traditional lead-time off- set, as is done in an MRP system, is not necessary. The subassemblies, components, and hard- ware items can be maintained in a common area, sometimes called a supermarket, adjacent to the production areas where they are used. For instance, Ducati, Italy’s high-performance motor- cycle manufacturer, pulls “kits” with the materials needed for one engine or vehicle from the supermarket and delivers them to the assembly line on a JIT basis. Items in the supermarket are replenished by a JIT/kanban system.

LOT-SIZING TECHNIQUES An MRP system is an excellent way to determine production schedules and net requirements. However, whenever we have a net requirement, a decision must be made about how much to order. This decision is called a lot-sizing decision. There are a variety of ways to determine lot sizes in an MRP system; commercial MRP software usually includes the choice of several lot- sizing techniques. We now review a few of them.

Lot-for-Lot In Example 3, we used a lot-sizing technique known as lot-for-lot, which produced exactly what was required. This decision is consistent with the objective of an MRP system, which is to meet the requirements of dependent demand. Thus, an MRP system should produce units only as needed, with no safety stock and no anticipation of further orders. When frequent orders are economical and just-in-time inventory techniques implemented, lot-for-lot can be very efficient. However, when setup costs are significant or management has been unable to implement JIT, lot-for-lot can be expensive. Example 4 uses the lot-for-lot criteria and deter- mines cost for 10 weeks of demand.

Bucketless system Time-phased data are referenced using dated records rather than defined time periods, or buckets.

Back flush A system to reduce inventory balances by deducting everything in the bill of material on completion of the unit.

Supermarket An inventory area that holds common items that are replenished by a kanban system.

Lot-sizing decision The process of, or techniques used in, determining lot size.

Lot-for-lot A lot-sizing technique that generates exactly what is required to meet the plan.

AUTHOR COMMENT Managers need to know how to group/order the “planned

order releases.”

448 PART 3 Managing Operations

EXAMPLE 4 � Lot sizing with lot-for-lot

Speaker Kits, Inc., wants to compute its ordering and carrying cost of inventory on lot-for-lot criteria.

APPROACH � With lot-for-lot, we order material only as it is needed. Once we have the cost of ordering (setting up), the cost of holding each unit for a given time period, and the production schedule, we can assign orders to our net requirements plan.

SOLUTION � Speaker Kits has determined that, for the 12-inch speaker unit, setup cost is $100 and holding cost is $1 per period. The production schedule, as reflected in net requirements for assem- blies, is as follows:

LO4: Determine lot sizes for lot-for-lot, EOQ, and PPB

Economic Order Quantity As discussed in Chapter 12, EOQ can be used as a lot-sizing technique. But as we indicated there, EOQ is preferable when relatively constant independent demand exists, not when we know the demand. EOQ is a statistical technique using averages (such as average demand for a year), whereas the MRP procedure assumes known (dependent)

MRP Lot Sizing: Lot-for-Lot Technique*

1 2 3 4 5 6 7 8 9 10

Gross requirements 35 30 40 0 10 40 30 0 30 55

Scheduled receipts

Projected on hand 35 35 0 0 0 0 0 0 0 0 0

Net requirements 0 30 40 0 10 40 30 0 30 55

Planned order receipts 30 40 10 40 30 30 55

Planned order releases 30 40 10 40 30 30 55

*Holding costs = $1/unit/week; setup cost = $100; gross requirements average per week = 27; lead time = 1 week.

The lot-sizing solution using the lot-for-lot technique is shown in the table. The holding cost is zero as there is never any inventory. (Inventory in the first period is used immediately and therefore has no holding cost.) But seven separate setups (one associated with each order) yield a total cost of $700. (Holding cost )

INSIGHT � When supply is reliable and frequent orders are inexpensive, but holding cost or obso- lescence is high, lot-for-lot ordering can be very efficient.

LEARNING EXERCISE � What is the impact on total cost if holding cost is $2 per period rather than $1? [Answer: Total holding cost remains zero, as no units are held from one period to the next with lot-for-lot.]

RELATED PROBLEMS � 14.17, 14.20, 14.21, 14.22

= 0 * 1 = 0; ordering cost = 7 * 100 = 700.

This Nissan line in Smyrna, Tennessee, has little inventory because Nissan schedules to a razor’s edge. At Nissan, MRP helps reduce inventory to world-class standards. World-class automobile assembly requires that purchased parts have a turnover of slightly more than once a day and that over- all turnover approaches 150 times per year.

Chapter 14 Material Requirements Planning (MRP) and ERP 449

� EXAMPLE 5 Lot sizing with EOQ

With a setup cost of $100 and a holding cost per week of $1, Speaker Kits, Inc., wants to examine its cost with lot sizes based on an EOQ criteria.

APPROACH � Using the same cost and production schedule as in Example 4, we determine net requirements and EOQ lot sizes.

SOLUTION � Ten-week usage equals a gross requirement of 270 units; therefore, weekly usage equals 27, and 52 weeks (annual usage) equals 1,404 units. From Chapter 12, the EOQ model is:

where

(carrying) cost, on an annual basis per unit

Q* = 73 units

= $1 * 52 weeks = $52 H = holding S = setup cost = $100 D = annual usage = 1,404

Q* = A

2DS

H

demand reflected in a master production schedule. Operations managers should take advantage of demand information when it is known, rather than assuming a constant demand. EOQ is examined in Example 5.

MRP Lot Sizing: EOQ Technique*

1 2 3 4 5 6 7 8 9 10

Gross requirements 35 30 40 0 10 40 30 0 30 55

Scheduled receipts

Projected on hand 35 35 0 43 3 3 66 26 69 69 39

Net requirements 0 30 0 0 7 0 4 0 0 16

Planned order receipts 73 73 73 73

Planned order releases 73 73 73 73

*Holding costs = $1/unit/week; setup cost = $100; gross requirements average per week = 27; lead time = 1 week.

The EOQ solution yields a computed 10-week cost of $730 [ ].

INSIGHT � EOQ can be an effective lot-sizing technique when demand is relatively constant. However, notice that actual holding cost will vary from the computed $730, depending on the rate of actual usage. From the preceding table, we can see that in our 10-week example, costs really are $400 for four setups, plus a holding cost of 375 units (includes 57 remaining at the end of the period) at $1 per week for a total of $775. Because usage was not constant, the actual computed cost was in fact more than the theoretical EOQ ($730) and the lot-for-lot rule ($700). If any stockouts had occurred, these costs too would need to be added to our actual EOQ cost of $775.

LEARNING EXERCISE � What is the impact on total cost if holding cost is $2 per period rather than $1? [Answer: The EOQ quantity becomes 52, the theoretical annual total cost becomes $5,404, and the 10-week cost is $1,039 ( ]

RELATED PROBLEMS � 14.18, 14.20, 14.21, 14.22

$5,404 * 110>522.

$3,798 * 110 weeks>52 weeks2 = $730

Annual Setup cost + Holding cost = $1,900 + 1,898 = $3,798 Annual Holding cost = 732 * 1$1 * 52 weeks2 = $1,898

Annual Setup cost = 19 * $100 = $1,900 Setups = 1,404>73 = 19 per year

Part Period Balancing Part period balancing (PPB) is a more dynamic approach to bal- ance setup and holding cost.3 PPB uses additional information by changing the lot size to reflect requirements of the next lot size in the future. PPB attempts to balance setup and holding cost for

3J. J. DeMatteis, “An Economic Lot-Sizing Technique: The Part-Period Algorithms,” IBM Systems Journal 7 (1968): 30–38.

Part period balancing (PPB) An inventory ordering technique that balances setup and holding costs by changing the lot size to reflect requirements of the next lot size in the future.

450 PART 3 Managing Operations

Economic part period (EPP) A period of time when the ratio of setup cost to holding cost is equal.

EXAMPLE 6 � Lot sizing with part period balancing

Speaker Kits, Inc., wants to compute the costs associated with lot sizing using part period balancing. It will use a setup cost of $100 and a $1 holding cost.

APPROACH � Using the same costs and production schedule as Examples 3 and 4, we develop a format that helps us compute the PPB quantity and apply that to our net requirements plan.

SOLUTION � The procedure for computing the order releases of 80, 100, and 55 is shown in the following PPB calculation. In the second table, we apply the PPB order quantities to the net require- ments plan.

EPP is 100 (setup cost divided by holding cost $100/$1). The first lot is to cover periods 2, 3, 4, and 5 and is 80.

The total costs are $490, with setup costs totaling $300 and holding costs totaling $190.

INSIGHT � Both the EOQ and PPB approaches to lot sizing balance holding cost and ordering cost. But PPB places an order each time holding cost equals ordering cost, while EOQ takes a longer averaging approach.

LEARNING EXERCISE � What is the impact on total cost if holding cost is $2 per period rather than $1? [Answer: With higher holding costs [PPB becomes 100/2 = 50], reorder points become more frequent, with orders now being placed for 70 units in period 1, 50 in period 4, 60 in period 6, and 55 in period 9.]

RELATED PROBLEMS � 14.19, 14.20, 14.21, 14.22

=

known demands. Part period balancing develops an economic part period (EPP), which is the ratio of setup cost to holding cost. For our Speaker Kits example, EPP $100/$1 100 units. Therefore, holding 100 units for one period would cost $100, exactly the cost of one setup. Similarly, holding 50 units for two periods also costs $100 (2 periods $1 50 units). PPB merely adds requirements until the number of part periods approximates the EPP—in this case, 100. Example 6 shows the application of part period balancing.

**

==

PPB Calculations

Trial Lot Size Periods (cumulative net Costs

Combined requirements) Part Periods Setup Holding Total

2 30 0 40 units held for 1 period = $40 2, 3 70 40 = 40 × 1 10 units held for 3 periods = $30 2, 3, 4 70 40 2, 3, 4, 5 80 70 = 40 × 1 + 10 × 3 100 + 70 = 170 2, 3, 4, 5, 6 120 230 = 40 × 1 + 10 × 3 + 40 × 4

(Therefore, combine periods 2 through 5; 70 is as close to our EPP of 100 as we are going to get.) 6 40 0 6, 7 70 30 = 30 ×1 6, 7, 8 70 30 = 30 × 1 + 0 × 2 6, 7, 8, 9 100 120 = 30 × 1 + 30 × 3 100 + 120 = 220

(Therefore, combine periods 6 through 9; 120 is as close to our EPP of 100 as we are going to get.) 10 55 0 100 + 0 = 100

300 + 190 = 490

MRP Lot Sizing: PPB Technique*

1 2 3 4 5 6 7 8 9 10

Gross requirements 35 30 40 0 10 40 30 0 30 55

Scheduled receipts

Projected on hand 35 35 0 50 10 10 0 60 30 30 0

Net requirements 0 30 0 0 0 40 0 0 0 55

Planned order receipts 80 100 55

Planned order releases 80 100 55

*Holding costs = $1/unit/week; setup cost = $100; gross requirements average per week = 27; lead time = 1 week.

Chapter 14 Material Requirements Planning (MRP) and ERP 451

Wagner-Whitin Algorithm The Wagner-Whitin procedure is a dynamic programming model that adds some complexity to the lot-size computation. It assumes a finite time horizon beyond which there are no additional net requirements. It does, however, provide good results.4

Lot-Sizing Summary In the three Speaker Kits lot-sizing examples, we found the following costs:

Lot-for-lot $700 EOQ $730 Part period balancing $490

These examples should not, however, lead operations personnel to hasty conclusions about the preferred lot-sizing technique. In theory, new lot sizes should be computed whenever there is a schedule or lot-size change anywhere in the MRP hierarchy. However, in practice, such changes cause the instability and system nervousness referred to earlier in this chapter. Consequently, such frequent changes are not made. This means that all lot sizes are wrong because the produc- tion system cannot respond to frequent changes.

In general, the lot-for-lot approach should be used whenever low-cost deliveries can be achieved. Lot-for-lot is the goal. Lots can be modified as necessary for scrap allowances, process constraints (for example, a heat-treating process may require a lot of a given size), or raw mater- ial purchase lots (for example, a truckload of chemicals may be available in only one lot size). However, caution should be exercised prior to any modification of lot size because the modifica- tion can cause substantial distortion of actual requirements at lower levels in the MRP hierarchy. When setup costs are significant and demand is reasonably smooth, part period balancing (PPB), Wagner-Whitin, or even EOQ should provide satisfactory results. Too much concern with lot siz- ing yields false accuracy because of MRP dynamics. A correct lot size can be determined only after the fact, based on what actually happened in terms of requirements.

EXTENSIONS OF MRP In this section, we review three extensions of MRP.

Material Requirements Planning II (MRP II) Material requirements planning II is an extremely powerful technique. Once a firm has MRP in place, requirements data can be enriched by resources other than just components. When MRP is used this way, resource is usually substituted for requirements, and MRP becomes MRP II. It then stands for material resource planning.

Wagner-Whitin procedure A technique for lot-size computation that assumes a finite time horizon beyond which there are no additional net requirements to arrive at an ordering strategy.

4We leave discussion of the algorithm to mathematical programming texts. The Wagner-Whitin algorithm yields a cost of $455 for the data in Examples 4, 5, and 6.

Many MRP programs, such as Resource Manager for Excel and DB, are commercially available. Resource Manager’s initial menu screen is shown here.

A demo program is available for student use at www.usersolutions.com.

Material requirements planning II (MRP II) A system that allows, with MRP in place, inventory data to be augmented by other resource variables; in this case, MRP becomes material resource planning.

452 PART 3 Managing Operations

Weeks

Lead Time 5 6 7 8

Computer 1 100 Labor-hours: .2 each 20 Machine-hours: .2 each 20 Scrap: 1 ounce fiberglass each 6.25 lbs Payables: $0 $0

PC board (1 each) 2 100 Labor-hours: .15 each 15 Machine-hours: .1 each 10 Scrap: .5 ounces copper each 3.125 lb Payables: raw material at $5 each $500

Processors (5 each) 4 500 Labor-hours: .2 each 100 Machine-hours: .2 each 100 Scrap: .01 ounces of acid waste each 0.3125 lb Payables: processors at $10 each $5,000

So far in our discussion of MRP, we have scheduled products and their components. However, products require many resources, such as energy and money, beyond the product’s tangible compo- nents. In addition to these resource inputs, outputs can be generated as well. Outputs can include such things as scrap, packaging waste, effluent, and carbon emissions. As OM becomes increas- ingly sensitive to the environmental and sustainability issues, identifying and managing byproducts becomes increasingly important. MRP II provides a vehicle for doing so. Table 14.4 provides an example of labor-hours, machine-hours, pounds of scrap, and cash, in the format of a gross require- ments plan. With MRP II, management can identify both the inputs and outputs as well as the rele- vant schedule. MRP II provides another tool in OM’s battle for sustainable operations.

MRP II systems are seldom stand-alone programs. Most are tied into other computer software that provide data to the MRP system or receive data from the MRP system. Purchasing, produc- tion scheduling, capacity planning, inventory, and warehouse management are a few examples of this data integration.

Closed-Loop MRP Closed-loop material requirements planning implies an MRP system that provides feedback to scheduling from the inventory control system. Specifically, a closed-loop MRP system provides information to the capacity plan, master production schedule, and ultimately to the production plan (as shown in Figure 14.8). Virtually all commercial MRP systems are closed-loop.

� TABLE 14.4 Material Resource Planning (MRP II)

By utilizing the logic of MRP, resources such as labor, machine-hours, scrap, and cost can be accurately determined and scheduled. Weekly demand for labor, machine-hours, scrap, and payables for 100 computers are shown.

Closed-loop MRP system A system that provides feedback to the capacity plan, master production schedule, and production plan so planning can be kept valid at all times.

Priority Management

Develop Master Production Schedule

Prepare Materials Requirements Plan

Detailed Production Activity Control (Shop Scheduling/Dispatching)

OK? YES

OK? YES

Capacity Management

Planning (see this chapter)

(see Chapter 13)

Execution (see Chapter 15) (in repetitive systems JIT techniques are used)

Evaluate Resource Availability (Rough Cut)

Determine Capacity Availability

Implement Input/Output Control

OK? NO

OK? NO

Aggregate Production Plan

� FIGURE 14.8 Closed-Loop Material Requirements Planning

LO6: Describe closed-loop MRP

LO5: Describe MRP II

Chapter 14 Material Requirements Planning (MRP) and ERP 453

Capacity Planning In keeping with the definition of closed-loop MRP, feedback about workload is obtained from each work center. Load reports show the resource requirements in a work center for all work currently assigned to the work center, all work planned, and expected orders. Figure 14.9(a) shows that the initial load in the milling center exceeds capacity on days 2, 3, and 5. Closed-loop MRP systems allow production planners to move the work between time periods to smooth the load or at least bring it within capacity. (This is the “capacity planning” part of Figure 14.8.) The closed-loop MRP system can then reschedule all items in the net requirements plan (see Figure 14.9[b]).

Load report A report for showing the resource requirements in a work center for all work currently assigned there as well as all planned and expected orders.

� EXAMPLE 7 Order splitting

Kevin Watson, the production planner at Wiz Products, needs to develop a capacity plan for a work center. He has the production orders shown below for the next 5 days. There are 12 hours available in the work cell each day. The parts being produced require 1 hour each.

APPROACH � Compute the time available in the work center and the time necessary to complete the production requirements.

SOLUTION �

Day 1 2 3 4 5 Orders 10 14 13 10 14

Utilization: Capacity Capacity Over/ New

Units Required Available (Under) Production Production Day Ordered (hours) (hours) (hours) Planner’s Action Schedule

1 10 10 12 (2) 12 2 14 14 12 2 Split order: move 2 units to day 1 12 3 13 13 12 1 Split order: move 1 unit to day 6 13

or request overtime 4 10 10 12 (2) 12 5 14 12 2 Split order: move 2 units to day 4 12

61 14

Capacity exceeded on days 2, 3, and 5

41 2 3 5

Days

14

8

6

4

2

0

10

12

S ta

n d a rd

L a b o r-

H o u rs

Available capacity

Days

(a) (b)

2 orders moved to day 1 from day 2 (a day early) 1 order forced to overtime or to day 6

2 orders moved to day 4 (a day early)

41 2 3 5

14

8

6

4

2

0

10

12

S ta

n d a rd

L a b o r-

H o u rs

� FIGURE 14.9 (a) Initial Resource Requirements Profile for a Work Center (b) Smoothed Resource Requirements Profile for a Work Center

Tactics for smoothing the load and minimizing the impact of changed lead time include the following:

1. Overlapping, which reduces the lead time, sends pieces to the second operation before the entire lot is completed on the first operation.

2. Operations splitting sends the lot to two different machines for the same operation. This involves an additional setup, but results in shorter throughput times, because only part of the lot is processed on each machine.

3. Order or, lot splitting, involves breaking up the order and running part of it earlier (or later) in the schedule.

Example 7 shows a brief detailed capacity scheduling example using order splitting to improve utilization.

454 PART 3 Managing Operations

When the workload consistently exceeds work-center capacity, the tactics just discussed are not adequate. This may mean adding capacity. Options include adding capacity via personnel, machinery, overtime, or subcontracting.

MRP IN SERVICES The demand for many services or service items is classified as dependent demand when it is directly related to or derived from the demand for other services. Such services often require product-struc- ture trees, bills-of-material and labor, and scheduling. MRP can make a major contribution to opera- tional performance in such services. Examples from restaurants, hospitals, and hotels follow.

Restaurants In restaurants, ingredients and side dishes (bread, vegetables, and condiments) are typically meal components. These components are dependent on the demand for meals. The meal is an end item in the master schedule. Figure 14.10 shows (a) a product-structure tree and (b) a bill of material for veal picante, a top-selling entrée in a New Orleans restaurant. Note that the various components of veal picante (that is, veal, sauce, spinach, and linguini) are prepared by different kitchen personnel (see part [a] of Figure 14.10). These preparations also require dif- ferent amounts of time to complete. Figure 14.10(c) shows a bill-of-labor for the veal dish. It lists the operations to be performed, the order of operations, and the labor requirements for each oper- ation (types of labor and labor-hours).

Hospitals MRP is also applied in hospitals, especially when dealing with surgeries that require known equipment, materials, and supplies. Houston’s Park Plaza Hospital and many hos- pital suppliers, for example, use the technique to improve the scheduling and management of expensive surgical inventory.

Hotels Marriott develops a bill of material (BOM) and a bill of labor when it renovates each of its hotel rooms. Marriott managers explode the BOM to compute requirements for materials, furniture, and decorations. MRP then provides net requirements and a schedule for use by pur- chasing and contractors.

Distribution Resource Planning (DRP) When dependent techniques are used in the supply chain, they are called distribution resource planning (DRP). Distribution resource planning (DRP) is a time-phased stock-replenishment plan for all levels of the supply chain.

DRP procedures and logic are analogous to MRP. With DRP, expected demand becomes gross requirements. Net requirements are determined by allocating available inventory to gross requirements. The DRP procedure starts with the forecast at the retail level (or the most distant point of the distribution network being supplied). All other levels are computed. As is the case with MRP, inventory is then reviewed with an aim to satisfying demand. So that stock will arrive when it is needed, net requirements are offset by the necessary lead time. A planned order release quantity becomes the gross requirement at the next level down the distribution chain.

DRP pulls inventory through the system. Pulls are initiated when the retail level orders more stock. Allocations are made to the retail level from available inventory and production after being adjusted to obtain shipping economies. Effective use of DRP requires an integrated information sys- tem to rapidly convey planned order releases from one level to the next. The goal of the DRP system is small and frequent replenishment within the bounds of economical ordering and shipping.5

Distribution resource planning (DRP) A time-phased stock- replenishment plan for all levels of a distribution network.

5For an expanded discussion of time-phased stock-replenishment plans, see the section “Opportunities in an Integrated Supply Chain” in Chapter 11 of this text.

INSIGHT � By moving orders, the production planner is able to utilize capacity more effectively and still meet the order requirements, with only 1 order produced on overtime in day 3.

LEARNING EXERCISE � If the units ordered for day 5 increase to 16, what are the production planner’s options? [Answer: In addition to moving 2 units to day 4, move 2 units of production to day 6, or request overtime.]

RELATED PROBLEMS � 14.23, 14.24

Chapter 14 Material Requirements Planning (MRP) and ERP 455

Cooked linguini #20002Helper one;

Work Center #2

Part Number Description

Uncooked linguini #30004

Veal picante #10001

Asst. Chef; Work

Center #3

Prepared veal and sauce

#20003

Spinach #20004

Chef; Work

Center #1

Sauce #30006

Veal #30005

10001 20002 20003 20004 30004 30005 30006

Veal picante Cooked linguini Prepared veal and sauce Spinach Uncooked linguini Veal Sauce

Quantity

1 1 1 0.1 0.5 1 1

— — —

0.94 —

2.15 0.80

Unit of Measure

Unit Cost

Serving Serving Serving Bag Pound Serving Serving

Work Center Operation

1 2 3

Assemble dish Cook linguini Cook veal and sauce

Labor Type

Chef Helper one Assistant chef

.0041

.0022

.0500

Setup Time

Labor-Hours

Run Time

.0069

.0005

.0125

(a) PRODUCT STRUCTURE TREE

(b) BILL OF MATERIALS

(c) BILL OF LABOR FOR VEAL PICANTE

� FIGURE 14.10 Product Structure Tree, Bill- of-Material, and Bill-of- Labor for Veal Picante

Source: Adapted from John G. Wacker, “Effective Planning and Cost Control for Restaurants,” Production and Inventory Management (Vol. 26, no. 1): 60. Reprinted by permission of American Production and Inventory Control Society.

ENTERPRISE RESOURCE PLANNING (ERP) Advances in MRP II systems that tie customers and suppliers to MRP II have led to the develop- ment of enterprise resource planning (ERP) systems. Enterprise resource planning (ERP) is software that allows companies to (1) automate and integrate many of their business processes, (2) share a common database and business practices throughout the enterprise, and (3) produce information in real time. A schematic showing some of these relationships for a manufacturing firm appears in Figure 14.11.

The objective of an ERP system is to coordinate a firm’s whole business, from supplier eval- uation to customer invoicing. This objective is seldom achieved, but ERP systems are evolving as umbrella systems that tie together a variety of specialized systems. This is accomplished by using a centralized database to assist the flow of information among business functions. Exactly what is tied together, and how, varies on a case-by-case basis. In addition to the traditional com- ponents of MRP, ERP systems usually provide financial and human resource (HR) management information. ERP systems also include:

• Supply chain management (SCM) software to support sophisticated vendor communication, e-commerce, and those activities necessary for efficient warehousing and logistics. The idea is to tie operations (MRP) to procurement, to materials management, and to suppliers, provid- ing the tools necessary for effective management of all four areas.

• Customer relationship management (CRM) software for the incoming side of the business. CRM is designed to aid analysis of sales, target the most profitable customers, and manage the sales force.

In addition to data integration, ERP software promises reduced transaction costs and fast, accurate information. A strategic emphasis on just-in-time systems and supply chain integration

AUTHOR COMMENT ERP tries to integrate all of a

firm’s information.

LO7: Describe ERP

Enterprise resource planning (ERP) An information system for identifying and planning the enterprise-wide resources needed to take, make, ship, and account for customer orders.

456 PART 3 Managing Operations

Inventory Management

Bills of Material

Routings and

Lead Times

Master Production Schedule

Sales Order (order entry, product configuration,

sales management)

Shipping Distributors,

retailers, and end users

General Ledger

Payroll

Accounts Payable

Invoicing

Supply-Chain Management Vendor Communication

(schedules, EDI, advanced shipping notice, e-commerce, etc.)

Accounts Receivable

MRP ERP

Purchasing and

Lead Times

Work Orders

Customer Relationship Management

Finance/ Accounting

� FIGURE 14.11 MRP and ERP Information Flows, Showing Customer Relationship Management (CRM), Supply-Chain Management (SCM), and Finance/Accounting Other functions such as human resources are often also included in ERP systems.

Thanks to ERP, the Italian sportswear company Benetton can probably claim to have the world’s fastest factory and the most efficient distribution in the garment industry. Located in Ponzano, Italy, Benetton makes and ships 50 million pieces of clothing each year. That is 30,000 boxes every day—boxes that must be filled with exactly the items ordered going to the correct store of the 5,000 Benetton outlets in 60 countries. This highly automated distribution center uses only 19 people. Without ERP, hundreds of people would be needed.

Here is how ERP software works:

1. Ordering: A salesperson in the south Boston store finds that she is running out of a best-selling blue sweater. Using a laptop PC, her local Benetton sales agent taps into the ERP sales module.

2. Availability: ERP’s inventory software simultaneously forwards the order to the mainframe in Italy and finds that half the order can be filled immediately from the Italian warehouse. The rest will be manufactured and shipped in 4 weeks.

3. Production: Because the blue sweater was originally created by computer-aided design (CAD), ERP manufac- turing software passes the specifications to a knitting machine. The knitting machine makes the sweaters.

4. Warehousing: The blue sweaters are boxed with a radio frequency ID (RFID) tag addressed to the Boston store and placed in one of the 300,000 slots in the Italian warehouse. A robot flies by, reading RFID tags, picks out any and all boxes ready for the Boston store, and loads them for shipment.

5. Order tracking: The Boston salesperson logs onto the ERP system through the Internet and sees that the sweater (and other items) are completed and being shipped.

6. Planning: Based on data from ERP’s forecasting and financial modules, Benetton’s chief buyer decides that blue sweaters are in high demand and quite profitable. She decides to add three new hues.

Sources: The Wall Street Journal (April 10, 2007): B1; Frontline Solutions (April 2003): 54; and MIT Sloan Management Review (Fall 2001): 46–53.

OM in Action � Managing Benetton with ERP Software

drives the desire for enterprise-wide software. The OM in Action box “Managing Benetton with ERP Software” provides an example of how ERP software helps integrate company operations.

Chapter 14 Material Requirements Planning (MRP) and ERP 457

In an ERP system, data are entered only once into a common, complete, and consistent data- base shared by all applications. For example, when a Nike salesperson enters an order into his ERP system for 20,000 pairs of sneakers for Foot Locker, the data are instantly available on the manufacturing floor. Production crews start filling the order if it is not in stock, accounting prints Foot Locker’s invoice, and shipping notifies the Foot Locker of the future delivery date. The salesperson, or even the customer, can check the progress of the order at any point. This is all accomplished using the same data and common applications. To reach this consistency, however, the data fields must be defined identically across the entire enterprise. In Nike’s case, this means integrating operations at production sites from Vietnam to China to Mexico, at business units across the globe, in many currencies, and with reports in a variety of languages.

Each ERP vendor produces unique products. The major vendors, SAP AG (a German firm), BEA (Canada), SSAGlobal, American Software, PeopleSoft/Oracle, CMS Software (all of the U.S.), sell software or modules designed for specific industries (a set of SAP’s modules is shown in Figure 14.12). However, companies must determine if their way of doing business will fit the standard ERP module. If they determine that the product will not fit the standard ERP product, they can change the way they do business to accommodate the software. But such a change can have an adverse impact on their business process, reducing a competitive advantage. Alternatively, ERP software can be customized to meet their specific process requirements. Although the vendors build the software to keep the customization process simple, many compa- nies spend up to five times the cost of the software to customize it. In addition to the expense, the major downside of customization is that when ERP vendors provide an upgrade or enhancement to the software, the customized part of the code must be rewritten to fit into the new version. ERP programs cost from a minimum of $300,000 for a small company to hundreds of millions of dol- lars for global giants like Ford and Coca-Cola. It is easy to see, then, that ERP systems are expensive, full of hidden issues, and time-consuming to install.

Covers all financial related activity:

Covers internal inventory management:

PROMOTE TO DELIVER Covers front-end

customer-oriented activities:

DESIGN TO MANUFACTURE Covers internal production activities:

PROCURE TO PAY Covers sourcing activities:

RECRUIT TO RETIRE Covers all HR- and payroll-oriented activity:

Accounts receivable

Accounts payable

General ledger

Treasury

Cash management

Asset management

Shop floor reporting

Warehousing

Distribution planning

Forecasting

Replenishment planning

Physical inventory

Material handling

Marketing

Quote and order processing

Transportation

Documentation and labeling

After sales service

Warranty and guarantees

Design engineering

Production engineering

Plant maintenance

Contract/project management

Subcontractor management

Vendor sourcing

Purchase requisitioning

Purchase ordering

Purchase contracts

Inbound logistics

Supplier invoicing/matching

Supplier payment/ settlement

Supplier performance Time and attendance Payroll

Travel and expenses

CASH TO CASH

DOCK TO DISPATCH

� FIGURE 14.12 SAP’s Modules for ERP

Source: www.sap.com. © Copyright 2009. SAP AG. All rights reserved.

458 PART 3 Managing Operations

Advantages and Disadvantages of ERP Systems We have alluded to some of the pluses and minuses of ERP. Here is a more complete list of both.

Advantages: 1. Provides integration of the supply chain, production, and administrative process. 2. Creates commonality of databases. 3. Can incorporate improved, reengineered, “best processes.” 4. Increases communication and collaboration among business units and sites. 5. Has a software database that is off-the-shelf coding. 6. May provide a strategic advantage over competitors.

Disadvantages: 1. Is very expensive to purchase, and even more costly to customize. 2. Implementation may require major changes in the company and its processes. 3. Is so complex that many companies cannot adjust to it. 4. Involves an ongoing process for implementation, which may never be completed. 5. Expertise in ERP is limited, with staffing an ongoing problem.

ERP in the Service Sector ERP vendors have developed a series of service modules for such markets as health care, govern- ment, retail stores, and financial services. Springer-Miller Systems, for example, has created an ERP package for the hotel market with software that handles all front- and back-office functions. This system integrates tasks such as maintaining guest histories, booking room and dinner reservations, scheduling golf tee times, and managing multiple properties in a chain. PeopleSoft/Oracle combines ERP with supply chain management to coordinate airline meal preparation. In the grocery industry, these supply chain systems are known as efficient consumer response (ECR) systems. As is the case in manufacturing, efficient consumer response systems tie sales to buying, to inventory, to logistics, and to production.

Efficient consumer response (ECR) Supply chain management systems in the grocery industry that tie sales to buying, to inventory, to logistics, and to production.

Material requirements planning (MRP) schedules production and inventory when demand is dependent. For MRP to work, management must have a master schedule, precise require- ments for all components, accurate inventory and purchasing records, and accurate lead times.

Production should often be lot-for-lot in an MRP system. When properly implemented, MRP can contribute in a major way to reduction in inventory while improving customer ser- vice levels. MRP techniques allow the operations manager to schedule and replenish stock on a “need-to-order” basis rather than simply a “time-to-order” basis.

The continuing development of MRP systems has led to its use with lean manufacturing techniques. In addition, MRP can integrate produc- tion data with a variety of other activi- ties, including the supply chain and sales. As a result, we now have integrated database-oriented enterprise resource planning (ERP) systems. These expen- sive and difficult-to-install ERP systems, when successful, support strategies of differentiation, response, and cost leadership.

CHAPTER SUMMARY

Key Terms

Material requirements planning (MRP) (p. 436)

Master production schedule (MPS) (p. 436) Bill of material (BOM) (p. 438) Modular bills (p. 440) Planning bills (or kits) (p. 440) Phantom bills of material (p. 440) Low-level coding (p. 440) Lead time (p. 441) Gross material requirements plan (p. 442) Net material requirements (p. 443)

Planned order receipt (p. 443) Planned order release (p. 443) System nervousness (p. 446) Time fences (p. 446) Pegging (p. 446) Buckets (p. 446) Bucketless system (p. 447) Back flush (p. 447) Supermarket (p. 447) Lot-sizing decision (p. 447) Lot-for-lot (p. 447)

Part period balancing (PPB) (p. 449) Economic part period (EPP) (p. 450) Wagner-Whitin procedure (p. 451) Material requirements planning II

(MRP II) (p. 451) Closed-loop MRP system (p. 452) Load report (p. 453) Distribution resource planning

(DRP) (p. 454) Enterprise resource planning (ERP) (p. 455) Efficient consumer response (ECR) (p. 458)

Chapter 14 Material Requirements Planning (MRP) and ERP 459

Using Software to Solve MRP Problems There are many commercial MRP software packages, for companies of all sizes. MRP software for small and medium-size companies includes User Solutions, Inc., a demo of which is available at www. usersolutions.com, and MAX, from Exact Software North America, Inc. Software for larger systems is available from SAP, CMS, BEA, Oracle, i2 Technologies, and many others. The Excel OM software that accompanies this text includes an MRP module, as does POM for Windows. The use of both is explained in the following sections.

X Using Excel OM Using Excel OM’s MRP module requires the careful entry of several pieces of data. The initial MRP screen is where we enter (1) the total number of occurrences of items in the BOM (including the top item), (2) what we want the BOM items to be called (i.e., Item no., Part), (3) total number of periods to be scheduled, and (4) what we want the periods called (i.e., days, weeks).

Excel OM’s second MRP screen provides the data entry for an indented bill of material. Here we enter (1) the name of each item in the BOM, (2) the quantity of that item in the assembly, and (3) the cor- rect indent (i.e., parent/child relationship) for each item. The indentations are critical as they provide the logic for the BOM explosion. The indentations should follow the logic of the product structure tree with indents for each assembly item in that assembly.

Excel OM’s third MRP screen repeats the indented BOM and provides the standard MRP tableau for entries. This is shown in Program 14.1 using the data from Examples 1, 2, and 3.

Enter the quantity on hand.

Enter the lead time.

The data in columns A, B, C, D (down to row 15) are entered on the second screen and automatically transferred here.

Lot size must be ≥1.

� PROGRAM 14.1 Using Excel OM’s MRP Module to Solve Examples 1, 2, and 3

P Using POM for Windows The POM for Windows MRP module can also solve Examples 1 to 3. Up to 18 periods can be analyzed. Here are the inputs required:

1. Item names: The item names are entered in the left column. The same item name will appear in more than one row if the item is used by two parent items. Each item must follow its parents.

2. Item level: The level in the indented BOM must be given here. The item cannot be placed at a level more than one below the item immediately above.

3. Lead-time: The lead time for an item is entered here. The default is 1 week. 4. Number per parent: The number of units of this subassembly needed for its parent is entered

here. The default is 1. 5. On hand: List current inventory on hand once, even if the subassembly is listed twice.

460 PART 3 Managing Operations

Solved Problems Virtual Office Hours help is available at www.myomlab.com

B(1)

Alpha

C(1)B(1)

D(2) C(2)

Alpha

C(1)

E(1) F(1)

E(1) F(1)

� SOLUTION Redraw the product structure with low-level coding. Then multiply down the structure until the require- ments of each branch are determined. Then add across the structure until the total for each is determined.

B(1)

D(2) C(2)

Alpha

C(1)

E(1) F(1)E(1) F(1) ⎧ ⎪ ⎨ ⎪ ⎩

⎧ ⎪ ⎨ ⎪ ⎩

Level 0

Level 1

Level 2

Level 3

Alpha = 1

B = 1

D = 2

F = 3

C = 3

E = 3

� SOLVED PROBLEM 14.1 Determine the low-level coding and the quantity of each component necessary to produce 10 units of an assembly we will call Alpha. The product structure and quantities of each component needed for each assembly are noted in parentheses.

6. Lot size: The lot size can be specified here. A 0 or 1 will perform lot-for-lot ordering. If another number is placed here, then all orders for that item will be in integer multiples of that number.

7. Demands: The demands are entered in the end item row in the period in which the items are demanded.

8. Scheduled receipts: If units are scheduled to be received in the future, they should be listed in the appropriate time period (column) and item (row). (An entry here in level 1 is a demand; all other levels are receipts.)

Further details regarding POM for Windows are seen in Appendix IV.

Chapter 14 Material Requirements Planning (MRP) and ERP 461

Es required for left branch:

and Es required for right branch:

Then “explode” the requirement by multiplying each by 10, as shown in the table to the right:

3 Es required in total 11alpha * 1C * 1E2 = 1 E

11alpha * 1B * 2 C * 1E2 = 2 Es Quantity Total Requirements

Level Item per Unit for 10 Alpha

0 Alpha 1 10 1 B 1 10 2 C 3 30 2 D 2 20 3 E 3 30 3 F 3 30

� SOLVED PROBLEM 14.2 Using the product structure for Alpha in Solved Problem 14.1, and the following lead times, quantity on hand, and master production schedule, prepare a net MRP table for Alphas.

Lead Quantity Item Time on Hand

Alpha 1 10 B 2 20 C 3 0 D 1 100 E 1 10 F 1 50

Master Production Schedule for Alpha

Period 6 7 8 9 10 11 12 13

Gross requirements 50 50 100

� SOLUTION See the chart on the following page.

4 6

2 P A

R T

3 M

a n a g in

g O

p e ra

tio n s

Gross Requirements 50 50 100

1010

40

40 50 100 100

40(A) 50(A) 100(A)

40(A)40(B) 200(B) + 50(A) 100(A)100(B)

40(B) 100(B) 200(B)

100100 60

0 40 200

0 40 200 200400

0

40(C) 40(C) 100(C) 100(C)250(C)

1010

30 40 100 100250

30 40 100 100250

30 40 100 100250

40(C) 40(C) 100(C) 100(C)250(C)

5050 10 —

0 30 100 100250

30 100 100250

30 100 100250

40 250 100100

40

40

40

1004040

250 100100

250 100

2020

20 50 100

20 50 100

5020 100

50

40 50

100

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

Gross Requirements

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

Gross Requirements

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

Gross Requirements

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

Gross Requirements

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

Gross Requirements

Scheduled Receipts

Projected On Hand

Net Requirements

Planned Order Receipts

Planned Order Releases

1 2 3 4 5

Period (week, day)

6 7 8 9 10 11 12 13

Lot Size

Lead Time (# of Periods)

On Hand

Safety Stock

Allo- cated

Low- Level Code

Item ID

Alpha (A)

0——101

Lot- for- Lot

B1——202

Lot- for- Lot

C2——03

Lot- for- Lot

D2——1001

Lot- for- Lot

E3——101

Lot- for- Lot

F3——501

Lot- for- Lot

Net Material Requirements Planning Sheet for Alpha The letter in parentheses (A) is the source of the demand.

Chapter 14 Material Requirements Planning (MRP) and ERP 463

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Ikon’s attempt at ERP: The giant office technology firm faces hurdles with ERP implementation.

Bibliography

Barba-Gutierrez, Y., B. Adenso-Diaz, and S. M. Gupta. “Lot Sizing in Reverse MRP for Scheduling Disassembly.” International Journal of Production Economics 111, no. 2 (February 2008): 741.

Bell, Steve. “Time Fence Secrets.” APICS 16, no. 4 (April 2006): 44–48.

Bolander, Steven, and Sam G. Taylor. “Scheduling Techniques: A Comparison of Logic.” Production and Inventory Management Journal 41, no. 1 (1st Quarter 2000): 1–5.

Crandall, Richard E. “The Epic Life of ERP.” APICS 16, no. 2 (February 2006): 17–19.

Gattiker, Thomas “Anatomy of an ERP Implementation Gone Awry.” Production and Inventory Management 43, nos. 3–4 (3rd/4th Quarter 2002): 96–105.

Kanet, J., and V. Sridharan. “The Value of Using Scheduling Information in Planning Material Requirements.” Decision Sciences 29, no. 2 (Spring 1998): 479–498.

Koh, S. C. L., and S. M. Saad. “Managing Uncertainty in ERP- controlled Manufacturing Environments.” International Journal of Production Economics 101, no. 1 (May 2006): 109.

Krupp, James A. G. “Integrating Kanban and MRP to Reduce Lead Time.” Production and Inventory Management Journal 43, no. 3–4 (3rd/4th quarter 2002): 78–82.

Lawrence, Barry F., Daniel F. Jennings, and Brian E. Reynolds. ERP in Distribution. Florence, KY: Thomson South-Western, (2005).

Moncrief, Stephen. “Push and Pull.” APICS—The Performance Advantage (June 2003): 46–51.

Norris, G. E-Business & ERP. New York: Wiley (2005). O’ Sullivan, Jill, and Gene Caiola. Enterprise Resource Planning,

2nd ed. New York: McGraw-Hill (2008). Segerstedt, A. “Master Production Scheduling and a Comparison

of MRP and Cover-Time Planning.” International Journal of Production Research 44, no. 18–19 (September 2006): 3585.

Summer, M. Enterprise Resource Planning. Upper Saddle River, NJ: Prentice Hall (2005).

Wagner, H. M., and T. M. Whitin. “Dynamic Version of the Economic Lot Size Model.” Management Science 5, no. 1 (1958): 89–96.

Wu, Jen-Hur, et al. “Using Multiple Variables Decision-Making Analysis for ERP Selection.” International Journal of Manufacturing Technology and Management 18, no. 2 (2009): 228.

This page intentionally left blank

Chapter Outline

GLOBAL COMPANY PROFILE: DELTA AIR LINES

The Importance of Short-Term Scheduling 468

Scheduling Issues 468

Scheduling Process-Focused Facilities 471

Loading Jobs 472

Sequencing Jobs 478

Finite Capacity Scheduling (FCS) 484

Scheduling Repetitive Facilities 485

Scheduling Services 486 � Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling � Aggregate

� Short-Term

� Maintenance

Short-Term Scheduling

465

GLOBAL COMPANY PROFILE: DELTA AIR LINES

SCHEDULING AIRPLANES WHEN WEATHER IS THE ENEMY

O perations managers at airlines learn to

expect the unexpected. Events that require

rapid rescheduling are a regular part of life.

Throughout the ordeals of tornadoes, ice

storms, and snowstorms, airlines across the globe

struggle to cope with delays, cancellations, and furious

passengers. The inevitable changes to the schedule

often create a ripple effect that impacts passengers

at dozens of airports in the network. Close to 10% of

12

6

3

1 2

11 10

5 4

7 8

12

3

1 210

5 4

7 8

9

6

3

111 10

5 4

7 8

9

4 A.M. FORECAST: Rain with a chance of light snow for Atlanta.

ACTION: Discuss status of planes and possible need for cancellations.

10 A.M. FORECAST: Freezing rain after 5 P.M.

ACTION: Ready deicing trucks; develop plans to cancel 50% to 80% of flights after 6 P.M.

1:30 P.M. FORECAST: Rain changing to snow.

ACTION: Cancel half the flights from 6 P.M. to 10 A.M.; notify passengers and reroute planes.

5 P.M. FORECAST: Less snow than expected.

ACTION: Continue calling passengers and arrange alternate flights.

10 P.M. FORECAST: Snow tapering off.

ACTION: Find hotels for 1,600 passengers stranded by the storm.

12

6

3

1 2

11 10

5 4

7

9 8

12

6

3

1 2

11 10

5 4

7 8

6

11 2

12

99

Here is what Delta officials had to do one December day when a storm bore down on Atlanta.

To improve flight rescheduling efforts, Delta employees monitor giant screens that display meteorological charts, weather patterns, and maps of Delta flights at its Operations Control Center in Atlanta.

466

Delta Air Lines’s flights are disrupted in a typical year,

half because of weather; the cost is $440 million in lost

revenue, overtime pay, and food and lodging vouchers.

Now Delta is taking the sting out of the scheduling

nightmares that come from weather-related problems

with its $33-million high-tech nerve center adjacent to

the Hartsfield-Jackson Atlanta International Airport.

From computers to telecommunications systems to

deicers, Delta’s Operations Control Center more quickly

Weather-related disruptions can create major scheduling and expensive snow removal issues for airlines (left), just as they create major inconveniences for passengers (right).

In an effort to maintain schedules, Delta Air Lines uses elaborate equipment as shown here for ice removal.

notifies customers of schedule changes, reroutes

flights, and gets jets into the air. The Operations Control

Center’s job is to keep flights flowing as smoothly as

possible in spite of the disruptions.

With earlier access to information, the center’s

staff of 18 pores over streams of data transmitted

by computers and adjusts to changes quickly. Using

mathematical scheduling models described in this

chapter, Delta decides on schedule and route

changes. This means coordinating incoming and

outgoing aircraft, ensuring that the right crews are on

hand, rescheduling connections to coordinate arrival

times, and making sure information gets to passengers

as soon as possible.

Delta’s software, called the Inconvenienced

Passenger Rebooking System, notifies passengers of

cancellations or delays, and even books them onto

rival airlines if necessary. With 150,000 passengers

flying into and out of Atlanta every day, Delta estimates

its scheduling efforts save $35 million a year.

DELTA AIR LINES �

467

468 PART 3 Managing Operations

LO1: Explain the relationship between short-term scheduling, capacity planning, aggregate planning, and a master schedule 468

LO2: Draw Gantt loading and scheduling charts 474

LO3: Apply the assignment method for loading jobs 475

Chapter 15 Learning Objectives

LO4: Name and describe each of the priority sequencing rules 479

LO5: Use Johnson’s rule 483

LO6: Define finite capacity scheduling 484

LO7: Use the cyclical scheduling technique 488

THE IMPORTANCE OF SHORT-TERM SCHEDULING Delta Air Lines doesn’t schedule just its 753 aircraft every day. It also schedules over 10,000 pilots and flight attendants to accommodate passengers who wish to reach their destinations. This schedule, based on huge computer programs, plays a major role in satisfying customers. Delta finds competitive advantage with its flexibility for last-minute adjustments to demand and weather disruptions.

Manufacturing firms also make schedules that match production to customer demands. Lockheed Martin’s Dallas plant schedules machines, tools, and people to make aircraft parts. Lockheed’s mainframe computer downloads schedules for parts production into a flexible machining system (FMS) in which a manager makes the final scheduling decision. The FMS allows parts of many sizes or shapes to be made, in any order. This scheduling versatility results in parts produced on a just-in-time basis, with low setup times, little work-in-process, and high machine utilization. Efficient scheduling is how companies like Lockheed Martin meet due dates promised to customers and face time-based competition.

The strategic importance of scheduling is clear:

• Effective scheduling means faster movement of goods and services through a facility. This means greater use of assets and hence greater capacity per dollar invested, which, in turn, lowers cost.

• Added capacity, faster throughput, and the related flexibility mean better customer service through faster delivery.

• Good scheduling also contributes to realistic commitments and hence dependable delivery.

SCHEDULING ISSUES Scheduling deals with the timing of operations. The types of scheduling decisions made in five organizations—a hospital, a college, a manufacturer, a restaurant, and an airline—are shown in Table 15.1. As you can see from Figure 15.1, a sequence of decisions affects scheduling. Schedule decisions begin with capacity planning, which involves total facility and equipment resources available (discussed in Chapter 7 and Supplement 7). Capacity plans are usually annual or quarterly as new equipment and facilities are purchased or discarded. Aggregate planning (Chapter 13) makes decisions regarding the use of facilities, inventory, people, and outside contractors. Aggregate plans are typically monthly, and resources are allocated in terms of an aggregate measure such as total units, tons, or shop hours. However, the master schedule breaks down the aggregate plan and develops a schedule for specific products or product lines for each week. Short-term schedules then translate capacity decisions, aggregate (intermediate) planning, and master schedules into job sequences and specific assignments of personnel, mate- rials, and machinery. In this chapter, we describe the narrow issue of scheduling goods and services in the short run (that is, matching daily or hourly requirements to specific personnel and equipment).

The objective of scheduling is to allocate and prioritize demand (generated by either forecasts or customer orders) to available facilities. Two significant factors in achieving this allocation and prioritizing are (1) the type of scheduling, forward or backward, and (2) the criteria for priorities. We discuss these two topics next.

LO1: Explain the relationship between short- term scheduling, capacity planning, aggregate planning, and a master schedule

AUTHOR COMMENT Good scheduling means

lower costs and faster and more dependable delivery.

AUTHOR COMMENT Scheduling decisions range

from years, for capacity planning, to minutes/

hours/days, called short- term scheduling. This chapter

focuses on the latter.

Chapter 15 Short-Term Scheduling 469

Organization Managers Schedule the Following: Arnold Palmer Hospital Operating room use

Patient admissions Nursing, security, maintenance staffs Outpatient treatments

University of Missouri Classrooms and audiovisual equipment Student and instructor schedules Graduate and undergraduate courses

Lockheed Martin factory Production of goods Purchases of materials Workers

Hard Rock Cafe Chef, waiters, bartenders Delivery of fresh foods Entertainers Opening of dining areas

Delta Air Lines Maintenance of aircraft Departure timetables Flight crews, catering, gate, and ticketing personnel

� TABLE 15.1 Scheduling Decisions

Capacity Plan for New Facilities Adjust capacity to the demand suggested by strategic plan

Aggregate Production Plan for All Bikes (Determine personnel or subcontracting necessary to

match aggregate demand to existing facilities/capacity)

Master Production Schedule for Bike Models

Work Assigned to Specific Personnel and Work Centers

(Determine weekly capacity schedule)

Make finite capacity schedule by matching specific tasks to specific people and machines

Capacity Planning (Long term; years) Changes in Facilities Changes in Equipment See Chapter 7 and Supplement 7

Aggregate Planning (Intermediate term; quarterly or monthly) Facility utilization Personnel changes Subcontracting See Chapter 13

Master Schedule (Intermediate term; weekly) Material requirements planning Disaggregate the aggregate plan See Chapters 13 and 14

Month 1 2

Bike Production 800 850

1

100

100

2

200

Month 1

3

100

100

Week

Model 22

Model 24

Model 26

4

200

5

150

100

6

200

7

100

100

8

200

Assemble Model 22 in

work center 6

Month 2

Short-Term Scheduling (Short term; days, hours, minutes) Work center loading Job sequencing/dispatching See this chapter

� FIGURE 15.1 The Relationship between Capacity Planning, Aggregate Planning, Master Schedule, and Short-Term Scheduling for a Bike Co.

VIDEO 15.1 Scheduling at Hard Rock

470 PART 3 Managing Operations

Forward scheduling Scheduling that begins the schedule as soon as the requirements are known.

Backward scheduling Scheduling that begins with the due date and schedules the final operation first and the other job steps in reverse order.

U.S. Steel maintains its world- class operation by automating the scheduling of people, machines, and tools through its cold- reduction-mill control room. Computerized scheduling software helps managers monitor production.

Forward and Backward Scheduling Scheduling involves assigning due dates to specific jobs, but many jobs compete simultaneously for the same resources. To help address the difficulties inherent in scheduling, we can categorize scheduling techniques as (1) forward scheduling and (2) backward scheduling.

Forward scheduling starts the schedule as soon as the job requirements are known. Forward scheduling is used in a variety of organizations such as hospitals, clinics, fine-dining restaurants, and machine tool manufacturers. In these facilities, jobs are performed to customer order, and delivery is often requested as soon as possible. Forward scheduling is usually designed to pro- duce a schedule that can be accomplished even if it means not meeting the due date. In many instances, forward scheduling causes a buildup of work-in-process inventory.

Backward scheduling begins with the due date, scheduling the final operation first. Steps in the job are then scheduled, one at a time, in reverse order. By subtracting the lead time for each item, the start time is obtained. However, the resources necessary to accomplish the schedule may not exist. Backward scheduling is used in many manufacturing environments, as well as ser- vice environments such as catering a banquet or scheduling surgery. In practice, a combination of forward and backward scheduling is often used to find a reasonable trade-off between what can be achieved and customer due dates.

Machine breakdowns, absenteeism, quality problems, shortages, and other factors further complicate scheduling. (See the OM in Action box “Scheduling Workers Who Fall Asleep Is a Killer—Literally.”) Consequently, assignment of a date does not ensure that the work will be per- formed according to the schedule. Many specialized techniques have been developed to aid in preparing reliable schedules.

Scheduling Criteria The correct scheduling technique depends on the volume of orders, the nature of operations, and the overall complexity of jobs, as well as the importance placed on each of four criteria. These four criteria are:

1. Minimize completion time: This criterion is evaluated by determining the average comple- tion time per job.

2. Maximize utilization: This is evaluated by determining the percent of the time the facility is utilized. 3. Minimize work-in-process (WIP) inventory: This is evaluated by determining the average num-

ber of jobs in the system. The relationship between the number of jobs in the system and WIP inventory will be high. Therefore, the fewer the number of jobs that are in the system, the lower the inventory.

4. Minimize customer waiting time: This is evaluated by determining the average number of late days.

Chapter 15 Short-Term Scheduling 471

The accidents at the nuclear plants at Three Mile Island, Pennsylvania, and Chernobyl, Russia, and the disaster at Bhopal, India, all had one thing in common: they occurred between midnight and 4:00 A.M. These facilities had other problems, but the need for sleep simply results in unreliable workplace performance. In some cases, unable to cope with a constantly changing work schedule, workers just plain fall asleep.

The same is true for pilots. Their inconsistent schedules and long flights often force them to snooze in the cockpit to get enough sleep. (Delta’s flight from Atlanta to Mumbai, India, for example, takes about 18 hours.) The Bombardier regional jet flying from Honolulu to Hilo, Hawaii, encoun- tered a serious problem in 2008 as it flew over Maui: both pilots were so fast asleep that they failed to respond to frantic calls from air-traffic controllers for 18 minutes. (The plane, with 40 passengers, overshot its destination as it flew 26 miles over the Pacific.) One FedEx pilot even complained of falling asleep while taxiing to take off.

Millions of people work in industries that maintain round-the-clock schedules. Employees from graveyard shifts report tales of seeing sleeping assembly-line workers

fall off their stools, batches of defective parts sliding past dozing inspectors, and exhausted forklift operators crashing into walls. Virtually all shift workers are sleep deprived. And the National Highway Traffic Safety Administration indicates that drowsiness may be a factor in as many as 100,000 crashes annually.

Scheduling is a major problem in firms with 24/7 shifts, but some managers are taking steps to deal with schedule- related sleep problems among workers. Motorola, Dow Chemical, Detroit Edison, Pennzoil, and Exxon, for instance, all give workers several days off between shift changes.

Operations managers can make shift work less dangerous with shifts that do not exceed 12 hours, that encourage 8 hours of sleep each day, and that have extended time off between shift changes. As more is learned about the economic toll of non-daytime schedules and changing schedules, companies are learning to improve scheduling.

Sources: The Wall Street Journal (September 12, 2008): A1, A14 and (October 25, 2009): A:1; and Air Safety and Health (January 2004): 14.

These four criteria are used in this chapter, as they are in industry, to evaluate scheduling perfor- mance. In addition, good scheduling approaches should be simple, clear, easily understood, easy to carry out, flexible, and realistic.

Table 15.2 provides an overview of different processes and approaches to scheduling. We now examine scheduling in process-focused facilities, in repetitive facilities, and in the

service sector.

SCHEDULING PROCESS-FOCUSED FACILITIES Process-focused facilities (also known as intermittent or job-shop facilities),1 as we see in Table 15.2, are high-variety, low-volume systems commonly found in manufacturing and service organizations. These are production systems in which products are made to order. Items made under this system usually differ considerably in terms of materials used, order of processing, pro- cessing requirements, time of processing, and setup requirements. Because of these differences, scheduling can be complex. To run a facility in a balanced and efficient manner, the manager needs a production planning and control system. This system should:

• Schedule incoming orders without violating capacity constraints of individual work centers.

• Check the availability of tools and materials before releasing an order to a department. • Establish due dates for each job and check progress against need dates and order lead

times. • Check work in progress as jobs move through the shop. • Provide feedback on plant and production activities. • Provide work efficiency statistics and monitor operator times for payroll and labor distribu-

tion analyses.

1Much of the literature on scheduling is about manufacturing; therefore, the traditional term job-shop scheduling is often used.

AUTHOR COMMENT The facilities discussed here are built around processes.

OM in Action � Scheduling Workers Who Fall Asleep Is a Killer—Literally

472 PART 3 Managing Operations

Whether the scheduling system is manual or automated, it must be accurate and relevant. This means it requires a production database with both planning and control files. Three types of planning files are:

1. An item master file, which contains information about each component the firm produces or purchases.

2. A routing file, which indicates each component’s flow through the shop. 3. A work-center master file, which contains information about the work center, such as capac-

ity and efficiency.

Control files track the actual progress made against the plan for each work order.

LOADING JOBS Loading means the assignment of jobs to work or processing centers. Operations managers assign jobs to work centers so that costs, idle time, or completion times are kept to a minimum. Loading work centers takes two forms.2 One is oriented to capacity; the second is related to assigning specific jobs to work centers.

First, we examine loading from the perspective of capacity via a technique known as input–output control. Then, we present two approaches used for loading: Gantt charts and the assignment method of linear programming.

Input–Output Control Many firms have difficulty scheduling (that is, achieving effective throughput) because they overload the production processes. This often occurs because they do not know actual performance in the work centers. Effective scheduling depends on matching the schedule to performance. Lack of knowledge about capacity and performance causes reduced throughput.

Input–output control is a technique that allows operations personnel to manage facility work flows. If the work is arriving faster than it is being processed, the facility is overloaded, and a backlog develops. Overloading causes crowding in the facility, leading to inefficiencies and qual- ity problems. If the work is arriving at a slower rate than jobs are being performed, the facility is

Loading The assigning of jobs to work or processing centers.

2Note that this discussion can apply to facilities that might be called a “shop” in a manufacturing firm, a “unit” in a hospital, or a “department” in an office or a large kitchen.

Input–output control A system that allows operations personnel to manage facility work flows by tracking work added to a work center and its work completed.

Process-focused facilities (job shops) • Focus is on generating a forward-looking schedule. • MRP generates due dates that are refined with finite capacity scheduling techniques. • Examples: foundries, machine shops, cabinet shops, print shops, many restaurants, and the

fashion industry. Work cells (focused facilities that process families of similar components) • Focus is on generating a forward-looking schedule. • MRP generates due dates, and subsequent detail scheduling/dispatching is done at the work cell

with kanbans and priority rules. • Examples: work cells at ambulance manufacturer Wheeled Coach, aircraft engine rebuilder Standard

Aero, greeting-card maker Hallmark.

Repetitive facilities (assembly lines) • Focus is on generating a forward-looking schedule that is achieved by balancing the line with

traditional assembly-line techniques. • Pull techniques, such as JIT and kanban, signal component scheduling to support the assembly line. • Challenging scheduling problems typically occur only when the process is new or when products or

models change. • Examples: assembly lines for a wide variety of products from autos to home appliances and computers. Product-focused facilities (continuous) • Focus is on generating a forward-looking schedule that can meet a reasonably stable demand with

the existing fixed capacity. • Capacity in such facilities is usually limited by long-term capital investment. • Capacity is usually known, as is the setup and run time for the limited range of products. • Examples: facilities with very high volume production and limited-variety products such as paper on huge

machines at International Paper, beer in a brewery at Anheuser-Busch, or rolled steel in a Nucor plant.

� TABLE 15.2 Different Processes Suggest Different Approaches to Scheduling

Chapter 15 Short-Term Scheduling 473

� EXAMPLE 1 Input-output control

DNC Machining, Inc., manufactures driveway security fences and gates. It wants to develop an input–output control report for the aluminum machining work center for 5 weeks (weeks 6/6 through 7/4). The planned input is 280 standard hours per week. The actual input is close to this figure, varying between 250 and 285. Output is scheduled at 320 standard hours, which is the assumed capacity. A backlog exists in the work center.

APPROACH � DNC uses schedule information to create Figure 15.2, which monitors the workload-capacity relationship at the work center.

SOLUTION � The deviations between scheduled input and actual output are shown in Figure 15.2. Actual output (270 hours) is substantially less than planned. Therefore, neither the input plan nor the output plan is being achieved.

Week Ending

Planned Input

Actual Input

Planned Output

Actual Output

*Sum of actual inputs minus sum of actual outputs = cumulative change in backlog

6/6 6/13 6/20 6/27 7/4

280

270 250 280 285 280

280 280 280 280

320 320 320 320

270270270270

Explanation: 270 input, 270 output, implies 0 change.

7/11

Explanation: 250 input, 270 output, implies –20 change. (20 standard hours less work in the work center)

Work Center DNC Milling (In standard hours)

–10 – 40 – 40 – 35 Cumulative Deviation

Cumulative Deviation

– 50 –100 –150 –200

Cumulative Change in Backlog*

0 – 20 –10 +5

� FIGURE 15.2 Input–Output Control

INSIGHT � The backlog of work in this work center has actually increased by 5 hours by week 6/27. This increases work-in-process inventory, complicating the scheduling task and indicating the need for manager action.

LEARNING EXERCISE � If actual output for the week of 6/27 was 275 (instead of 270), what changes? [Answer: Output cumulative deviation now is –195, and cumulative change in backlog is 0.]

RELATED PROBLEM � 15.21

Input–output control can be maintained by a system of ConWIP cards, which control the amount of work in a work center. ConWIP is an acronym for constant work-in-process. The ConWIP card travels with a job (or batch) through the work center. When the job is finished, the card is released and returned to the initial workstation, authorizing the entry of a new batch into the work center. The ConWIP card effectively limits the amount of work in the work center, controls lead time, and monitors the backlog.

The options available to operations personnel to manage facility work flow include the following:

1. Correcting performances 2. Increasing capacity 3. Increasing or reducing input to the work center by (a) routing work to or from other work

centers, (b) increasing or decreasing subcontracting, (c) producing less (or producing more)

Producing less is not a popular solution, but the advantages can be substantial. First, customer- service levels may improve because units may be produced on time. Second, efficiency may actually improve because there is less work in process cluttering the work center and adding to overhead costs. Third, quality may improve because less work-in-process hides fewer problems.

ConWIP cards Cards that control the amount of work in a work center, aiding input–output control.

underloaded, and the work center may run out of work. Underloading the facility results in idle capacity and wasted resources. Example 1 shows the use of input–output controls.

474 PART 3 Managing Operations

Gantt charts Planning charts used to schedule resources and allocate time.

EXAMPLE 2 � Gantt load chart

A New Orleans washing machine manufacturer accepts special orders for machines to be used in such unique facilities as submarines, hospitals, and large industrial laundries. The production of each machine requires varying tasks and durations. The company wants to build a load chart for the week of March 8.

APPROACH � The Gantt chart is selected as the appropriate graphical tool.

SOLUTION � Figure 15.3 shows the completed Gantt chart.

Processing

Work Center

Day

Metalworks

Mechanical

Electronics

Painting

Job 408

Job 295 Job 408 Job 349

Job 349

Job 349 Job 350

Job 349 Job 408

Monday Tuesday Wednesday Thursday Friday

Center not available (e.g., maintenance time, repairs, shortages)

Unscheduled

� FIGURE 15.3 Gantt Load Chart for the Week of March 8

The Gantt load chart has a major limitation: It does not account for production variability such as unexpected breakdowns or human errors that require reworking a job. Consequently, the chart must also be updated regularly to account for new jobs and revised time estimates.

A Gantt schedule chart is used to monitor jobs in progress (and is also used for project sched- uling). It indicates which jobs are on schedule and which are ahead of or behind schedule. In practice, many versions of the chart are found. The schedule chart in Example 3 places jobs in progress on the vertical axis and time on the horizontal axis.

LO2: Draw Gantt loading and scheduling charts

Gantt Charts Gantt charts are visual aids that are useful in loading and scheduling. The name is derived from Henry Gantt, who developed them in the late 1800s. The charts show the use of resources, such as work centers and labor.

When used in loading, Gantt charts show the loading and idle times of several departments, machines, or facilities. They display the relative workloads in the system so that the manager knows what adjustments are appropriate. For example, when one work center becomes over- loaded, employees from a low-load center can be transferred temporarily to increase the work- force. Or if waiting jobs can be processed at different work centers, some jobs at high-load centers can be transferred to low-load centers. Versatile equipment may also be transferred among centers. Example 2 illustrates a simple Gantt load chart.

INSIGHT � The four work centers process several jobs during the week. This particular chart indi- cates that the metalworks and painting centers are completely loaded for the entire week. The mechan- ical and electronic centers have some idle time scattered during the week. We also note that the metalworks center is unavailable on Tuesday, and the painting center is unavailable on Thursday, per- haps for preventive maintenance.

LEARNING EXERCISE � What impact results from the electronics work center closing on Tuesday for preventive maintenance? [Answer: none.]

RELATED PROBLEM � 15.1b

Chapter 15 Short-Term Scheduling 475

� EXAMPLE 3 Gantt scheduling chart

First Printing in Winter Park, Florida, wants to use a Gantt chart to show the scheduling of three orders, jobs A, B, and C.

APPROACH � In Figure 15.4, each pair of brackets on the time axis denotes the estimated start- ing and finishing of a job enclosed within it. The solid bars reflect the actual status or progress of the job. We are just finishing day 5.

SOLUTION �

Job Day 1

Day 2

Day 3

Day 4

Day 5

Day 6

Day 7

Day 8

A

B

C

Now

Maintenance

Start of an activity

End of an activity

Scheduled activity time allowed

Actual work progress

Nonproduction time

Point in time when chart is reviewed

Gantt scheduling chart symbols:

� FIGURE 15.4 Gantt Scheduling Chart for Jobs A, B, and C at a Printing Firm

INSIGHT � Figure 15.4 illustrates that job A is about a half-day behind schedule at the end of day 5. Job B was completed after equipment maintenance. We also see that job C is ahead of schedule.

LEARNING EXERCISE � Redraw the Gantt chart to show that job A is a half-day ahead of schedule. [Answer: The orangish bar now extends all the way to the end of the activity.]

RELATED PROBLEMS � 15.1a, 15.2

Assignment Method The assignment method involves assigning tasks or jobs to resources. Examples include assign- ing jobs to machines, contracts to bidders, people to projects, and salespeople to territories. The objective is most often to minimize total costs or time required to perform the tasks at hand. One important characteristic of assignment problems is that only one job (or worker) is assigned to one machine (or project).

Each assignment problem uses a table. The numbers in the table will be the costs or times associated with each particular assignment. For example, if First Printing has three available typesetters (A, B, and C) and three new jobs to be completed, its table might appear as follows. The dollar entries represent the firm’s estimate of what it will cost for each job to be completed by each typesetter.

Assignment method A special class of linear programming models that involves assigning tasks or jobs to resources.

3Opportunity costs are those profits forgone or not obtained.

Typesetter

Job A B C

R-34 $11 $14 $ 6 S-66 $ 8 $10 $11 T-50 $ 9 $12 $ 7

LO3: Apply the assignment method for loading jobs

The assignment method involves adding and subtracting appropriate numbers in the table to find the lowest opportunity cost3 for each assignment. There are four steps to follow:

1. Subtract the smallest number in each row from every number in that row and then, from the resulting matrix, subtract the smallest number in each column from every number in that

476 PART 3 Managing Operations

column. This step has the effect of reducing the numbers in the table until a series of zeros, meaning zero opportunity costs, appear. Even though the numbers change, this reduced problem is equivalent to the original one, and the same solution will be optimal.

2. Draw the minimum number of vertical and horizontal straight lines necessary to cover all zeros in the table. If the number of lines equals either the number of rows or the number of columns in the table, then we can make an optimal assignment (see step 4). If the number of lines is less than the number of rows or columns, we proceed to step 3.

3. Subtract the smallest number not covered by a line from every other uncovered number. Add the same number to any number(s) lying at the intersection of any two lines. Do not change the value of the numbers that are covered by only one line. Return to step 2 and continue until an optimal assignment is possible.

4. Optimal assignments will always be at zero locations in the table. One systematic way of making a valid assignment is first to select a row or column that contains only one zero square. We can make an assignment to that square and then draw lines through its row and column. From the uncovered rows and columns, we choose another row or column in which there is only one zero square. We make that assignment and continue the procedure until we have assigned each person or machine to one task.

Example 4 shows how to use the assignment method.

EXAMPLE 4 � Assignment method

First Printing wants to find the minimum total cost assignment of 3 jobs to 3 typesetters.

APPROACH � The cost table shown earlier in this section is repeated here, and steps 1 through 4 are applied.

TYPESETTER A B C

JOB

R-34 $11 $14 $ 6

S-66 $ 8 $10 $11

T-50 $ 9 $12 $ 7

TYPESETTER A B C

JOB

R-34 5 8 0

S-66 0 2 3

T-50 2 5 0

TYPESETTER B CA

JOB

R-34 5 6 0

S-66 0 0 3

T-50 2 3 0

SOLUTION �

STEP 1A: Using the previous table, subtract the smallest number in each row from every number in the row. The result is shown in the table on the left.

STEP 1B: Using the above left table, subtract the smallest number in each column from every num- ber in the column. The result is shown in the table on the right.

STEP 2: Draw the minimum number of vertical and horizontal straight lines needed to cover all zeros. Because two lines suffice, the solution is not optimal.

TYPESETTER A B C

JOB

R-34 5 6 0

S-66 0 0 3

T-50 2 3 0

Smallest uncovered number

AUTHOR COMMENT You can also tackle

assignment problems with our Excel OM or POM

software or with Excel’s Solver add-in.

Chapter 15 Short-Term Scheduling 477

STEP 3: Subtract the smallest uncovered number (2 in this table) from every other uncovered number and add it to numbers at the intersection of two lines.

Return to step 2. Cover the zeros with straight lines again.

Because three lines are necessary, an optimal assignment can be made (see step 4). Assign R-34 to person C, S-66 to person B, and T-50 to person A. Referring to the original cost table, we see that:

INSIGHT � If we had assigned S-66 to typesetter A, we could not assign T-50 to a zero location.

LEARNING EXERCISE � If it costs $10 for Typesetter C to complete Job R-34 (instead of $6), how does the solution change? [Answer: R-34 to A, S-66 to B, T-50 to C: cost = $28.]

RELATED PROBLEMS � 15.3, 15.4, 15.5, 15.6, 15.7, 15.8, 15.9

EXCEL OM Data File Ch15Ex4.xls can be found at www.pearsonhighered.com/heizer.

Minimum cost = $6 + $10 + $9 = $25

TYPESETTER A B C

JOB

R-34 3 4 0

S-66 0 0 5

T-50 0 1 0

TYPESETTER A B C

JOB

R-34 3 4 0

S-66 0 0

010T-50

Some assignment problems entail maximizing profit, effectiveness, or payoff of an assignment of people to tasks or of jobs to machines. An equivalent minimization problem can be obtained by converting every number in the table to an opportunity loss. To convert a maximizing problem to an equivalent minimization problem, we create a minimizing table by subtracting every number in the original payoff table from the largest single number in that table. We then proceed to step 1 of the four-step assignment method. Minimizing the opportunity loss produces the same assignment solution as the original maximization problem.

The problem of scheduling major league baseball umpiring crews from one series of games to the next is complicated by many restrictions on travel, ranging from coast-to-coast time changes, airline flight schedules, and night games running late. The league strives to achieve these two conflicting objectives: (1) balance crew assignments relatively evenly among all teams over the course of a season and (2) minimize travel costs. Using the assignment problem formulation, the time it takes the league to generate a schedule has been significantly decreased, and the quality of the schedule has improved.

478 PART 3 Managing Operations

SEQUENCING JOBS Scheduling provides a basis for assigning jobs to work centers. Loading is a capacity-control technique that highlights overloads and underloads. Sequencing (also referred to as dispatch- ing) specifies the order in which jobs should be done at each center. For example, sup- pose that 10 patients are assigned to a medical clinic for treatment. In what order should they be treated? Should the first patient to be served be the one who arrived first or the one who needs emergency treatment? Sequencing methods provide such guidelines. These methods are referred to as priority rules for sequencing or dispatching jobs to work centers.

Priority Rules for Dispatching Jobs Priority rules provide guidelines for the sequence in which jobs should be worked. The rules are especially applicable for process-focused facilities such as clinics, print shops, and manufactur- ing job shops. We will examine a few of the most popular priority rules. Priority rules try to min- imize completion time, number of jobs in the system, and job lateness while maximizing facility utilization.

The most popular priority rules are:

• FCFS: first come, first served. The first job to arrive at a work center is processed first. • SPT: shortest processing time. The shortest jobs are handled first and completed. • EDD: earliest due date. The job with the earliest due date is selected first. • LPT: longest processing time. The longer, bigger jobs are often very important and are

selected first.

Example 5 compares these rules.

Sequencing Determining the order in which jobs should be done at each work center.

Priority rules Rules used to determine the sequence of jobs in process- oriented facilities.

First come, first served (FCFS) Jobs are completed in the order they arrived.

Shortest processing time (SPT) Jobs with the shortest processing times are assigned first.

Earliest due date (EDD) Earliest due date jobs are performed first.

Longest processing time (LPT) Jobs with the longest processing time are completed first.

EXAMPLE 5 � Priority rules for dispatching

Five architectural rendering jobs are waiting to be assigned at Avanti Sethi Architects. Their work (pro- cessing) times and due dates are given in the following table. The firm wants to determine the sequence of processing according to (1) FCFS, (2) SPT, (3) EDD, and (4) LPT rules. Jobs were assigned a letter in the order they arrived.

AUTHOR COMMENT Once jobs are loaded,

managers must decide the sequence in which they are

to be completed.

APPROACH � Each of the four priority rules is examined in turn. Four measures of effectiveness can be computed for each rule and then compared to see which rule is best for the company.

SOLUTION �

1. The FCFS sequence shown in the next table is simply A–B–C–D–E. The “flow time” in the sys- tem for this sequence measures the time each job spends waiting plus time being processed. Job B, for example, waits 6 days while job A is being processed, then takes 2 more days of operation time itself; so it will be completed in 8 days—which is 2 days later than its due date.

JOB WORK FLOW JOB DUE JOB JOB SEQUENCE (PROCESSING) TIME TIME DATE LATENESS

A 6 6 8 0 B 2 8 6 2 C 8 16 18 0 D 3 19 15 4 E 9 28 23 5

28 77 11

JOB WORK JOB DUE (PROCESSING) TIME DATE

JOB (DAYS) (DAYS)

A 6 8 B 2 6 C 8 18 D 3 15 E 9 23

Chapter 15 Short-Term Scheduling 479

The first-come, first-served rule results in the following measures of effectiveness:

a.

b.

c.

d.

2. The SPT rule shown in the next table results in the sequence B–D–A–C–E. Orders are sequenced according to processing time, with the highest priority given to the shortest job.

Average job lateness = Total late days

Number of jobs =

11

5 = 2.2 days

= 77 days

28 days = 2.75 jobs

Average number of jobs in the system = Sum of total flow time

Total job work 1processing2 time

= 28

77 = 36.4%

Utilization metric = Total job work 1processing2 time

Sum of total flow time

= 77 days

5 = 15.4 days

Average completion time = Sum of total flow time

Number of jobs

JOB WORK FLOW JOB DUE JOB JOB SEQUENCE (PROCESSING) TIME TIME DATE LATENESS

B 2 2 6 0 D 3 5 A 6 11 8 3 C 8 19 18 1 E 9 28 23 5

28 65 9

15 0

Measurements of effectiveness for SPT are:

a. Average completion time

b.

c. Average number of jobs in the system

d. Average job lateness

3. The EDD rule shown in the next table gives the sequence B–A–D–C–E. Note that jobs are ordered by earliest due date first.

= 9

5 = 1.8 days

= 65

28 = 2.32 jobs

Utilization metric = 28

65 = 43.1%

= 65

3 = 13 days

JOB WORK FLOW JOB DUE JOB JOB SEQUENCE (PROCESSING) TIME TIME DATE LATENESS

B 2 2 6 0 A 6 8 8 0 D 3 11 15 0 C 8 19 18 1 E 9 28 23 5

28 68 6

Measurements of effectiveness for EDD are:

a. Average completion time

b. Utilization metric

c. Average number of jobs in the system

d. Average job lateness = 6

5 = 1.2 days

= 68

28 = 2.43 jobs

= 28

68 = 41.2%

= 68

5 = 13.6 days

LO4: Name and describe each of the priority sequencing rules

480 PART 3 Managing Operations

4. The LPT rule shown in the next table results in the order E–C–A–D–B.

Measures of effectiveness for LPT are:

a. Average completion time

b. Utilization metric

c. Average number of jobs in the system

d. Average job lateness

The results of these four rules are summarized in the following table:

= 48

5 = 9.6 days

= 103

28 = 3.68 jobs

= 28

103 = 27.2%

= 103

5 = 20.6 days

JOB WORK FLOW JOB DUE JOB JOB SEQUENCE (PROCESSING) TIME TIME DATE LATENESS

E 9 9 23 0 C 8 17 18 0 A 6 23 8 15 D 3 26 15 11 B 2 28 6 22

28 103 48

AVERAGE AVERAGE NUMBER AVERAGE COMPLETION

UTILIZATION METRIC OF JOBS IN LATENESS

RULE TIME (DAYS) (%) SYSTEM (DAYS)

FCFS 15.4 36.4 2.75 2.2 SPT 13.0 43.1 2.32 1.8 EDD 13.6 41.2 2.43 1.2 LPT 20.6 27.2 3.68 9.6

INSIGHT � LPT is the least effective measurement for sequencing for the Avanti Sethi firm. SPT is superior in 3 measures, and EDD is superior in the fourth (average lateness).

LEARNING EXERCISE � If job A takes 7 days (instead of 6), how do the 4 measures of effec- tiveness change under the FCFS rule? [Answer: 16.4 days, 35.4%, 2.83 jobs, 2.8 days late.]

RELATED PROBLEMS � 15.10, 15.12a–d, 15.13, 15.14

EXCEL OM Data File Ch15Ex5.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 15.1 This example is further illustrated in Active Model 15.1 at www.pearsonhighered.com/heizer.

The results in Example 5 are typically true in the real world also. No one sequencing rule always excels on all criteria. Experience indicates the following:

1. Shortest processing time is generally the best technique for minimizing job flow and minimizing the average number of jobs in the system. Its chief disadvantage is that long- duration jobs may be continuously pushed back in priority in favor of short-duration jobs. Customers may view this dimly, and a periodic adjustment for longer jobs must be made.

2. First come, first served does not score well on most criteria (but neither does it score par- ticularly poorly). It has the advantage, however, of appearing fair to customers, which is important in service systems.

3. Earliest due date minimizes maximum tardiness, which may be necessary for jobs that have a very heavy penalty after a certain date. In general, EDD works well when lateness is an issue.

Chapter 15 Short-Term Scheduling 481

Your doctor may use a first-come, first-served priority rule satisfactorily. However, such a rule may be less than optimal for this emergency room. What priority rule might be best, and why? What priority rule is often used on TV hospital dramas?

Critical Ratio Another type of sequencing rule is the critical ratio. The critical ratio (CR) is an index number computed by dividing the time remaining until due date by the work time remaining. As opposed to the priority rules, critical ratio is dynamic and easily updated. It tends to perform better than FCFS, SPT, EDD, or LPT on the average job-lateness criterion.

The critical ratio gives priority to jobs that must be done to keep shipping on schedule. A job with a low critical ratio (less than 1.0) is one that is falling behind schedule. If CR is exactly 1.0, the job is on schedule. A CR greater than 1.0 means the job is ahead of schedule and has some slack.

The formula for critical ratio is:

Example 6 shows how to use the critical ratio.

CR = Time remaining

Workdays remaining =

Due date - Today’s date Work 1lead2 time remaining

� EXAMPLE 6 Critical ratio

APPROACH � Zyco wants to compute the critical ratios, using the formula for CR.

SOLUTION �

Today is day 25 on Zyco Medical Testing Laboratories’ production schedule. Three jobs are on order, as indicated here:

Job Due Date Workdays Remaining

A 30 4 B 28 5 C 27 2

Job Critical Ratio Priority Order

A 130 - 252>4 = 1.25 3 B 128 - 252>5 = .60 1 C 127 - 252>2 = 1.00 2

INSIGHT � Job B has a critical ratio of less than 1, meaning it will be late unless expedited. Thus, it has the highest priority. Job C is on time and job A has some slack. Once job B has been completed, we would recompute the critical ratios for jobs A and C to determine whether their priorities have changed.

Critical ratio (CR) A sequencing rule that is an index number computed by dividing the time remaining until due date by the work time remaining.

482 PART 3 Managing Operations

LEARNING EXERCISE � Today is day 24 (a day earlier) on Zyco’s schedule. Recompute the CRs and determine the priorities. [Answer: 1.5, 0.8, 1.5; B is still number 1, but now jobs A and C are tied for second.]

RELATED PROBLEMS � 15.11, 15.12e, 15.16

In most production scheduling systems, the critical-ratio rule can help do the following:

1. Determine the status of a specific job. 2. Establish relative priority among jobs on a common basis. 3. Relate both make-to-stock and make-to-order jobs on a common basis. 4. Adjust priorities (and revise schedules) automatically for changes in both demand and job

progress. 5. Dynamically track job progress.

Sequencing N Jobs on Two Machines: Johnson’s Rule The next step in complexity is the case in which N jobs (where N is 2 or more) must go through two different machines or work centers in the same order. This is called the N/2 problem.

Johnson’s rule can be used to minimize the processing time for sequencing a group of jobs through two work centers. It also minimizes total idle time on the machines. Johnson’s rule involves four steps:

1. All jobs are to be listed, and the time that each requires on a machine is to be shown. 2. Select the job with the shortest activity time. If the shortest time lies with the first machine,

the job is scheduled first. If the shortest time lies with the second machine, schedule the job last. Ties in activity times can be broken arbitrarily.

3. Once a job is scheduled, eliminate it. 4. Apply Steps 2 and 3 to the remaining jobs, working toward the center of the sequence.

Example 7 shows how to apply Johnson’s rule.

Johnson’s rule An approach that minimizes processing time for sequencing a group of jobs through two work centers while minimizing total idle time in the work centers.

EXAMPLE 7 � Johnson’s rule

Five specialty jobs at a La Crosse, Wisconsin, tool and die shop must be processed through two work centers (drill press and lathe). The time for processing each job follows:

Work (processing) Time for Jobs (hours)

Job Work Center 1

(drill press) Work Center 2

(lathe)

A 5 2 B 3 6 C 8 4 D 10 7 E 7 12

The owner, Niranjan Pati, wants to set the sequence to minimize his total processing time for the five jobs.

APPROACH � Pati applies the four steps of Johnson’s rule.

SOLUTION �

1. The job with the shortest processing time is A, in work center 2 (with a time of 2 hours). Because it is at the second center, schedule A last. Eliminate it from consideration.

A

Chapter 15 Short-Term Scheduling 483

2. Job B has the next shortest time (3 hours). Because that time is at the first work center, we sched- ule it first and eliminate it from consideration.

AB

3. The next shortest time is job C (4 hours) on the second machine. Therefore, it is placed as late as possible.

4. There is a tie (at 7 hours) for the shortest remaining job. We can place E, which was on the first work center, first. Then D is placed in the last sequencing position.

The sequential times are:

C AB

B E D C A

Work center 1 3 7 10 8 5

Work center 2 6 12 7 4 2

The time-phased flow of this job sequence is best illustrated graphically:

Thus, the five jobs are completed in 35 hours.

INSIGHT � The second work center will wait 3 hours for its first job, and it will also wait 1 hour after completing job B.

LEARNING EXERCISE � If job C takes 8 hours in work center 2 (instead of 4 hours), what sequence is best? [Answer: B–E–C–D–A.]

RELATED PROBLEMS � 15.15, 15.17, 15.18

EXCEL OM Data File Ch15Ex7.xls can be found at www.pearsonhighered.com/heizer.

Time 0 1 3

B

105 7 11 12 13 17 19 21 22 23 25 27 29 31 33 35

E D C A

= Idle = Job completed

Time 0 3 10 20 28 33

9

Work center

1

Work center

2

B E D C A

B E D C A

LO5: Use Johnson’s rule

Limitations of Rule-Based Dispatching Systems The scheduling techniques just discussed are rule-based techniques, but rule-based systems have a number of limitations. Among these are the following:

1. Scheduling is dynamic; therefore, rules need to be revised to adjust to changes in orders, process, equipment, product mix, and so forth.

484 PART 3 Managing Operations

Finite capacity scheduling (FCS) Computerized short-term scheduling that overcomes the disadvantage of rule-based systems by providing the user with graphical interactive computing.

LO6: Define finite capacity scheduling

4Finite capacity scheduling (FCS) systems go by a number of names, including finite scheduling and advance planning systems (APS). The name manufacturing execution systems (MES) may also be used, but MES tends to suggest an emphasis on the reporting system from shop operations back to the scheduling activity.

2. Rules do not look upstream or downstream; idle resources and bottleneck resources in other departments may not be recognized.

3. Rules do not look beyond due dates. For instance, two orders may have the same due date. One order involves restocking a distributor and the other is a custom order that will shut down the customer’s factory if not completed. Both may have the same due date, but clearly the custom order is more important.

Despite these limitations, schedulers often use sequencing rules such as SPT, EDD, or critical ratio. They apply these methods at each work center and then modify the sequence to deal with a multitude of real-world variables. They may do this manually or with finite capacity scheduling software.

FINITE CAPACITY SCHEDULING (FCS) Short-term scheduling is also called finite capacity scheduling.4 Finite capacity scheduling (FCS) overcomes the disadvantages of systems based exclusively on rules by providing the scheduler with interactive computing and graphic output. In dynamic scheduling environments such as job shops (with a high variety, low volume, and shared resources) we expect changes—but changes disrupt schedules. Therefore, operations managers are moving toward FCS systems that allow virtually instantaneous change by the operator. Improvements in com- munication on the shop floor are also enhancing the accuracy and speed of information neces- sary for effective control in job shops. Computer-controlled machines can monitor events and collect information in near real-time. This means the scheduler can make schedule changes based on up-to-the-minute information. These schedules are often displayed in Gantt chart form. In addition to including priority rule options, many of the current FCS systems also combine an “expert system” or simulation techniques and allow the scheduler to assign costs to various options. The scheduler has the flexibility to handle any situation, including order, labor, or machine changes.

This Lekin® finite capacity scheduling software presents a schedule of the five jobs and the two work centers shown in Example 7 (pages 482–483) in Gantt chart form. The software is capable of using a variety of priority rules, several shop types, up to 50 jobs, 20 work centers, and 100 machines to generate a schedule. The Lekin software is available for free at www.stern.nyc.edu/ om/software/lekin/ download/html and can solve many of the problems in the Lecture Guide & Activities Manual.

Chapter 15 Short-Term Scheduling 485

Setups and run time

Interactive Finite Capacity Scheduling MRP Data Routing files;

work center information

Priority rules

• Expert systems • Simulation models

• Master schedule • BOM • Inventory

Tooling and other resources

Maintenance

Job

A

B

C

D

Day 1

Day 2

Day 3

Day 4

Day 5

Day 6

Day 7

Day 8

� FIGURE 15.5 Finite Capacity Scheduling Systems Combine MRP and Shop Floor Production Data to Generate a Gantt Chart That Can Be Manipulated by the User on a Computer Screen

The initial data for finite scheduling systems is often the output from an MRP system. The output from MRP systems is traditionally in weekly “buckets” that have no capacity constraint. These systems just tell the planner when the material is needed, ignoring the capacity issue. Because infinite-size buckets are unrealistic and inadequate for detail scheduling, MRP data require refinement. MRP output is combined with routing files, due dates, capacity of work cen- ters, tooling, and other resource availability to provide the data needed for effective FCS. These are the same data needed in any manual system, but FCS software formalizes them, speeds analysis, and makes changes easier. The combining of MRP and FCS data, priority rules, models to assist analysis, and Gantt chart output is shown in Figure 15.5.

Finite capacity scheduling allows delivery requirements to be based on today’s conditions and today’s orders, not according to some predefined rule. The scheduler determines what constitutes a “good” schedule. FCS software packages such as Lekin, ProPlanner, Preactor, Asprova, Tactic, and Jobplan are currently used at over 60% of U.S. plants.

SCHEDULING REPETITIVE FACILITIES The scheduling goals defined at the beginning of this chapter are also appropriate for repetitive production. You may recall from Chapter 7 that repetitive producers make standard products from modules. The usual approach is to develop a forward-looking schedule on a balanced assembly line. (Refer to Table 15.2 on page 472).

Repetitive producers want to satisfy customer demands, lower inventory investment, and reduce the batch (or lot) size, with existing equipment and processes. A technique to move toward these goals is to use a level-material-use schedule. Level material use means frequent, high-quality, small lot sizes that contribute to just-in-time production. This is exactly what world-class producers such as Harley-Davidson, John Deere, and Johnson Controls do. The advantages of level material use are:

1. Lower inventory levels, which releases capital for other uses 2. Faster product throughput (that is, shorter lead times) 3. Improved component quality and hence improved product quality 4. Reduced floor-space requirements 5. Improved communication among employees because they are closer together (which can

result in improved teamwork and esprit de corps) 6. Smoother production process because large lots have not “hidden” the problems

Suppose a repetitive producer runs large monthly batches: With a level-material-use schedule, management would move toward shortening this monthly cycle to a weekly, daily, or even hourly cycle.

Level material use The use of frequent, high- quality, small lot sizes that contribute to just-in-time production.

AUTHOR COMMENT Repetitive producers create forward-looking schedules

with level material use.

486 PART 3 Managing Operations

One way to develop a level-material-use schedule is to first determine the minimum lot size that will keep the production process moving. This is illustrated in the next chapter, “JIT and Lean Operations.”

SCHEDULING SERVICES Scheduling service systems differs from scheduling manufacturing systems in several ways:

• In manufacturing, the scheduling emphasis is on machines and materials; in services, it is on staffing levels.

• Inventories can help smooth demand for manufacturers, but many service systems do not maintain inventories.

• Services are labor intensive, and the demand for this labor can be highly variable. • Legal considerations, such as wage and hour laws and union contracts that limit hours worked

per shift, week, or month, constrain scheduling decisions. • Because services usually schedule people rather than material, behavioral, social, seniority,

and status issues complicate scheduling.

The following examples note the complexity of scheduling services.

Hospitals A hospital is an example of a service facility that may use a scheduling system every bit as complex as one found in a job shop. Hospitals seldom use a machine shop priority system such as first-come, first-served (FCFS) for treating emergency patients. However, they do schedule products (such as surgeries) just like a factory, and capacities must meet wide variations in demand.

Banks Cross training of the workforce in a bank allows loan officers and other managers to provide short-term help for tellers if there is a surge in demand. Banks also employ part-time per- sonnel to provide a variable capacity.

Retail Stores Scheduling optimization systems, such as Workbrain, Cybershift, and Kronos, are used at retailers including Walmart, Payless Shoes, Target, and Radio Shack. These systems track individual store sales, transactions, units sold, and customer traffic in 15-minute increments to create work schedules. Walmart’s 1.3 million and Target’s 350,000 employees used to take thousands of managers’ hours to schedule; now staffing is drawn up nationwide in a few hours, and customer checkout experience has improved dramatically.

Airlines Airlines face two constraints when scheduling flight crews: (1) a complex set of FAA work-time limitations and (2) union contracts that guarantee crew pay for some number of hours each day or each trip. Airline planners must build crew schedules that meet or exceed crews’ pay guarantees. Planners must also make efficient use of their other expensive resource: aircraft. These schedules are typically built using linear programming models. The OM in Action box “Scheduling Aircraft Turnaround” details how very short-term schedules (20 minutes) can help an airline become more efficient.

AUTHOR COMMENT Scheduling people to

perform services can be even more complex than

scheduling machines.

Good scheduling in the health care industry can help keep nurses happy and costs contained. Here, nurses in Boston protest nurse-staffing levels in Massachusetts hospitals. Shortages of qualified nurses is a chronic problem.

Chapter 15 Short-Term Scheduling 487

24/7 Operations Emergency hotlines, police/fire departments, telephone operations, and mail- order businesses (such as L.L. Bean) schedule employees 24 hours a day, 7 days a week. To allow management flexibility in staffing, sometimes part-time workers can be employed. This provides both benefits (in using odd shift lengths or matching anticipated workloads) and difficulties (from the large number of possible alternatives in terms of days off, lunch hour times, rest periods, start- ing times). Most companies use computerized scheduling systems to cope with these complexities. The OM in Action box “Scheduling for Peaks by Swapping Employees” provides yet another example of flexibility in scheduling.

� US Airways has cut the turnaround time on commercial flights from the current 45 minutes to 20 minutes for Boeing 737s. To the right is a list of procedures that must be completed before the flight can depart:

1

1

2

2

3

3

4

4

5

5

6

6

Ticket agent takes flight plan to pilot, who loads information into aircraft computer. About 130 passengers disembark from the plane.

Workers clean trash cans, seat pockets, lavatories, etc.

Catering personnel board plane and replenish supply of drinks and ice.

A fuel truck loads up to 5,300 gallons of fuel into aircraft’s wings.

Baggage crews unload up to 4,000 pounds of luggage and 2,000 pounds of freight. “Runners” rush the luggage to baggage claim area in terminal.

Ramp agents, who help park aircraft upon arrival, “push” plane back away from gate.

Airlines that face increasingly difficult financial futures have recently discovered the importance of efficient scheduling of ground turnaround activities for flights. For some low- cost, point-to-point carriers like Southwest Airlines, scheduling turnarounds in 20 minutes has been standard policy for years. Yet for others, like Continental, United, and US Airways, the approach is new. This figure illustrates how US Airways deals with speedier schedules. Now its planes average seven trips a day, instead of six, meaning the carrier can sell tens of thousands more seats a day. And with this improved scheduling, its punctuality moved from near the bottom in 2007 to virtually tie Southwest for first place 2 years later.

OM in Action � Scheduling Aircraft Turnaround

When calls to Choice Hotel International’s reservation line surged after a recent ad campaign, Choice V.P. Don Brockwell found his call center short-staffed. So he quickly arranged to add 20 agents per shift—but not by hiring or calling a temp service. Instead, the additional workers were employees of 1-800-Flowers.com. Choice and Flowers’s unusual deal helps both reduce reliance on outsourcers. It also bolsters recruiting and retention because call center workers have more varied work and are less subject to a seasonal business cycle.

The deal works in part because Choice’s high season is mid-May through early October, while Flowers’s call volume increases between October and May, with surges at Christmas, Valentine’s Day, and Mother’s Day. The companies typically lend each other as many as 100

employees, for weeks at a time, in the three call centers they share. But some workers might even change assignments in the middle of a shift. Most employees like the variety. “When you sit down and sell hotel rooms for 8 hours a day, selling flowers is a nice break,” says Rick Hilliner, a former teacher, now at the Grand Junction, Colorado, center.

Sources: The Wall Street Journal (April 10, 2006): B3; and Call Center Magazine (March 2005): 18–24.

Sources: US Airways, Boeing, The Wall Street Journal (January 6, 2009): D8; and Aviation Week & Space Technology (January 29, 2001): 50.

OM in Action � Scheduling for Peaks by Swapping Employees

488 PART 3 Managing Operations

EXAMPLE 8 � Cyclical scheduling

Hospital administrator Doris Laughlin wants to staff the oncology ward using a standard 5-day work- week with two consecutive days off, but also wants to minimize the staff. However, as in most hospi- tals, she faces an inconsistent demand. Weekends have low usage. Doctors tend to work early in the week, and patients peak on Wednesday then taper off.

APPROACH � Doris must first establish staffing requirements. Then the following five-step process is applied.

SOLUTION �

1. Determine the necessary daily staffing requirements. Doris has done this:

Employee 1

Employee 2

Employee 3

Employee 4

Employee 5

Employee 6

Employee 7

Capacity (measured in number of employees) Excess capacity

5

4

3

2

1

1

5

4

3

2

1

1

6

5

4

3

2

1

5

4

3

2

2

1

4

3

2

2

2

1

3

3

3

3

2

1

1

3

3

3

2

1

0

5 0

5 0

6 0

5 0

4 0

3 1

3 0

MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY SATURDAY SUNDAY

Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday

Staff required 5 5 6 5 4 3 3

Scheduling Service Employees with Cyclical Scheduling A number of techniques and algorithms exist for scheduling service-sector employees such as police officers, nurses, restaurant staff, tellers, and retail sales clerks. Managers, trying to set a timely and efficient schedule that keeps personnel happy, can spend substantial time each month developing employee schedules. Such schedules often consider a fairly long planning period (say, 6 weeks). One approach that is workable yet simple is cyclical scheduling.

Cyclical Scheduling Cyclical scheduling with inconsistent staffing needs is often the case in services such as restaurants and police work. Here the objective focuses on developing a sched- ule with the minimum number of workers. In these cases, each employee is assigned to a shift and has time off. Let’s look at Example 8.

LO7: Use the cyclical scheduling technique

2. Identify the two consecutive days that have the lowest total requirement and circle these. Assign these two days off to the first employee. In this case, the first employee has Saturday and Sunday off because 3 plus 3 is the lowest sum of any 2 days. In the case of a tie, choose the days with the lowest adjacent requirement, or by first assigning Saturday and Sunday as an “off” day. If there are more than one, make an arbitrary decision.

3. We now have an employee working each of the uncircled days; therefore, make a new row for the next employee by subtracting 1 from the first row (because one day has been worked)—except for the circled days (which represent the days not worked) and any day that has a zero. That is, do not subtract from a circled day or a day that has a value of zero.

4. In the new row, identify the two consecutive days that have the lowest total requirement and circle them. Assign the next employee to the remaining days.

5. Repeat the process (steps 3 and 4) until all staffing requirements are met.

Chapter 15 Short-Term Scheduling 489

Doris needs six full-time employees to meet the staffing needs and one employee to work Saturday. Notice that capacity (number of employees) equals requirements, provided an employee works

overtime on Saturday, or a part-time employee is hired for Saturday.

INSIGHT � Doris has implemented an efficient scheduling system that accommodates 2 consecu- tive days off for every employee.

LEARNING EXERCISE � If Doris meets the staffing requirement for Saturday with a full-time employee, how does she schedule that employee? [Answer: That employee can have any 2 days off, except Saturday, and capacity will exceed requirements by 1 person each day the employee works (except Saturday).]

RELATED PROBLEMS � 15.19, 15.20

Using the approach in Example 8, Colorado General Hospital saved an average of 10 to 15 hours a month and found these added advantages: (1) no computer was needed, (2) the nurses were happy with the schedule, (3) the cycles could be changed seasonally to accommodate avid skiers, and (4) recruiting was easier because of predictability and flexibility. This approach yields an optimum, although there may be multiple optimal solutions.

Other cyclical scheduling techniques have been developed to aid service scheduling. Some approaches use linear programming: This is how Hard Rock Cafe schedules its services (see the Video Case Study in the Lecture Guide & Activities Manual). There is a natural bias in schedul- ing to use tools that are understood and yield solutions that are accepted.

CHAPTER SUMMARY Scheduling involves the timing of operations to achieve the efficient movement of units through a system. This chapter addressed the issues of short-term scheduling in process- focused, repetitive, and service environments. We saw that process-focused facilities are production systems in which products are made to order and that scheduling tasks in them can become complex. Several aspects and approaches to scheduling, loading, and sequencing of jobs were intro- duced. These ranged from Gantt charts and the assignment method of scheduling to a series of priority rules, the

critical-ratio rule, Johnson’s rule for sequencing, and finite capac- ity scheduling.

Service systems generally dif- fer from manufacturing systems. This leads to the use of first-come, first-served rules and appointment and reservation sys- tems, as well as to heuristics and linear programming approaches for matching capacity to demand in service environments.

Key Terms

Forward scheduling (p. 470) Backward scheduling (p. 470) Loading (p. 472) Input–output control (p. 472) ConWIP cards (p. 473) Gantt charts (p. 474)

Assignment method (p. 475) Sequencing (p. 478) Priority rules (p. 478) First come, first served (FCFS) (p. 478) Shortest processing time (SPT) (p. 478) Earliest due date (EDD) (p. 478)

Longest processing time (LPT) (p. 478) Critical ratio (CR) (p. 481) Johnson’s rule (p. 482) Finite capacity scheduling (FCS) (p. 484) Level material use (p. 485)

Using Software for Short-Term Scheduling In addition to the commercial software we noted in this chapter, short-term scheduling problems can be solved with the Excel OM software that comes free at our website www.pearsonhighered.com/heizer. POM for Windows also includes a scheduling module. The use of each of these programs is explained next.

490 PART 3 Managing Operations

X Using Excel OM Excel OM has two modules that help solve short-term scheduling problems: Assignment and Job Shop Scheduling. The Assignment module is illustrated in Programs 15.1 and 15.2. The input screen, using the Example 4 data, appears first, as Program 15.1. Once the data are all entered, we choose the Tools command, followed by the Solver command. Excel’s Solver uses linear programming to optimize assignment problems. The constraints are also shown in Program 15.1. We then select the Solve command and the solution appears in Program 15.2.

Excel OM’s Job Shop Scheduling module is illustrated in Program 15.3. Program 15.3 uses Example 5’s data. Because jobs are listed in the sequence in which they arrived (see column A), the results are for the FCFS rule. Program 15.3 also shows some of the formulas (columns F, G, H, I, J) used in the calculations.

To solve with the SPT rule, we need four intermediate steps: (1) Select (that is, highlight) the data in columns A, B, C for all jobs; (2) invoke the Data command; (3) invoke the Sort command; and (4) sort by Time (column C) in ascending order. To solve for EDD, step 4 changes to sort by Due Date (column D) in ascending order. Finally, for an LPT solution, step 4 becomes sort by Due Date (column D) in descending order.

B22 is where we placed our total costs on the data screen.

We need to create row and column totals in order to create the constraints.

The assignments will be filled in by Excel’s Solver.

Copy the names from the above table.

These are the cells that we will ask Excel’s Solver to fill in for us.

These are the constraints for the linear programming representation of the assignment problem. Nonnegativity constraints have been added through the Options button.

In Excel 2007, Solver is in the Analysis section of the Data tab. In prior versions Solver is on the Tools menu. If Solver is not available please visit www.prenhall.com/weiss.

Use the SUMPRODUCT function to calculate the total cost. Notice that this function is multiplying the data table by the assignment table.

� PROGRAM 15.1 Excel OM’s Assignment Module Using Example 4’s Data After entering the problem data in the yellow area, select Tools, then Solver.

Chapter 15 Short-Term Scheduling 491

Solver has filled in the assignments with 1s.

It is important to check the statement made by the Solver. In this case, it says that Solver found a solution. In other problems, this may not be the case. For some problems there may be no feasible solution, and for others more iterations may be required.

� PROGRAM 15.2 Excel OM Output Screen for Assignment Problem Described in Program 15.1

An IF function is used to determine whether or not the job was late. = IF(I13–D13>=0, I13–D13,0)

The results are for an FCFS schedule. To create other results, sort cells A9 through D13 based on a new criterion.

= AVERAGE(H9:H13)

Calculate the slack as = D9 – C9.

In this example, all work begins on Day 1 and all jobs are available on Day 1.

The completion times and the flow times are identical since work begins on Day 1= H14/C14

� PROGRAM 15.3 Excel OM’s Job Shop Scheduling Module Applied to Example 5’s Data

P Using POM For Windows POM for Windows can handle both categories of scheduling problems we see in this chapter. Its Assignment module is used to solve the traditional one-to-one assignment problem of people to tasks, machines to jobs, and so on. Its Job Shop Scheduling module can solve a one- or two-machine job-shop problem. Available priority rules include SPT, FCFS, EDD, and LPT. Each can be examined in turn once the data are all entered. Refer to Appendix IV for specifics regarding POM for Windows.

492 PART 3 Managing Operations

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 15.1 King Finance Corporation, headquartered in New York, wants to assign three recently hired college graduates, Julie Jones, Al Smith, and Pat Wilson, to regional offices. However, the firm also has an opening in New York and would send one of the three there if it were more economical than a move to Omaha, Dallas, or Miami. It will cost $1,000 to relocate Jones to New York, $800 to relocate Smith there, and $1,500 to move Wilson. What is the optimal assignment of personnel to offices?

� SOLUTION (a) The cost table has a fourth column to represent New York. To

“balance” the problem, we add a “dummy” row (person) with a zero relocation cost to each city.

(b) Subtract the smallest number in each row and cover all zeros (column subtraction of each column’s zero will give the same numbers and therefore is not necessary):

OFFICE OMAHA MIAMI DALLAS

HIREE

Jones $800 $1,100 $1,200 Smith $500 $1,600 $1,300 Wilson $500 $1,000 $2,300

OFFICE OMAHA MIAMI DALLAS NEW YORK

HIREE

Jones $800 $1,100 $1,200 $1,000 Smith $500 $1,600 $1,300 $ 800 Wilson $500 $1,000 $2,300 $1,500 Dummy 0 0 0 0

OFFICE OMAHA MIAMI DALLAS NEW YORK

HIREE

Jones 0 300 400 200 Smith 0 1,100 800 300 Wilson 0 500 1,800 1,000 Dummy 0 0 0 0

(c) Only 2 lines cover, so subtract the smallest uncovered number (200) from all uncovered numbers, and add it to each square where two lines intersect. Then cover all zeros:

(d) Only 3 lines cover, so subtract the smallest uncovered number (100) from all uncovered numbers, and add it to each square where two lines intersect. Then cover all zeros:

(e) Still only 3 lines cover, so subtract the smallest uncovered number (100) from all uncovered numbers, add it to squares where two lines intersect, and cover all zeros:

(f) Because it takes four lines to cover all zeros, an optimal assignment can be made at zero squares. We assign:

Wilson to Omaha Jones to Miami Dummy (no one) to Dallas Smith to New York

= $2,400 Cost = $500 + $1,100 + $0 + $800

� SOLVED PROBLEM 15.2 A defense contractor in Dallas has six jobs awaiting processing. Processing time and due dates are given in the table. Assume that jobs arrive in the order shown. Set the processing sequence according to FCFS and evaluate.

OFFICE OMAHA MIAMI DALLAS NEW YORK

HIREE

Jones 0 100 200 0 Smith 0 900 600 100 Wilson 0 300 1,600 800 Dummy 200 0 0 0

OFFICE OMAHA MIAMI DALLAS NEW YORK

HIREE

Jones 0 0 100 0 Smith 0 800 500 100 Wilson 0 200 1,500 800 Dummy 300 0 0 100

OFFICE OMAHA MIAMI DALLAS NEW YORK

HIREE

Jones 100 0 100 0 Smith 0 700 400 0 Wilson 0 100 1,400 700 Dummy 400 0 0 100

JOB PROCESSING JOB DUE JOB TIME (DAYS) DATE (DAYS)

A 6 22 B 12 14 C 14 30 D 2 18 E 10 25 F 4 34

Chapter 15 Short-Term Scheduling 493

1. 2. 3. 4. Utilization = 48>182 = 26.4%

Average job lateness = 55>6 = 9.16 days Average number of jobs in system = 182>48 = 3.79 jobs Average completion time = 182>6 = 30.33 days

� SOLUTION FCFS has the sequence A–B–C–D–E–F.

JOB JOB PROCESSING

SEQUENCE TIME FLOW TIME DUE DATE JOB LATENESS

A 6 6 22 0 B 12 18 14 4 C 14 32 30 2 D 2 34 18 16 E 10 44 25 19 F 4 48 34 14

48 182 55

� SOLVED PROBLEM 15.3 The Dallas firm in Solved Problem 15.2 also wants to consider job sequencing by the SPT priority rule. Apply SPT to the same data and provide a recommendation.

� SOLUTION SPT has the sequence D–F–A–E–B–C.

1. 2. 3. 4.

SPT is superior to FCFS in this case on all four measures. If we were to also analyze EDD, we would, however, find its average job lateness to be lowest at 5.5 days. SPT is a good recommendation. SPT’s major disadvantage is that it makes long jobs wait, sometimes for a long time.

Utilization = 48>124 = 38.7% Average job lateness = 38>6 = 6.33 days Average number of jobs in system = 124>48 = 2.58 jobs Average completion time = 124>6 = 20.67 days

JOB JOB PROCESSING

SEQUENCE TIME FLOW TIME DUE DATE JOB LATENESS

D 2 2 18 0 F 4 6 34 0 A 6 12 22 0 E 10 22 25 0 B 12 34 14 20 C 14 48 30 18

48 124 38

� SOLVED PROBLEM 15.4 Use Johnson’s rule to find the optimum sequence for processing the jobs shown through two work centers. Times at each center are in hours.

JOB WORK CENTER 1 WORK CENTER 2

A 6 12 B 3 7 C 18 9 D 15 14 E 16 8 F 10 15

494 PART 3 Managing Operations

� SOLVED PROBLEM 15.5 Illustrate the throughput time and idle time at the two work centers in Solved Problem 15.4 by constructing a time- phased chart.

� SOLUTION

� SOLUTION

The sequential times are:

B A F D C E

Work center 1 3 0 15 18 16 Work center 2 7 12

6 15 1

14 9 8

0 10

A

37 51 52 68 76

D E Idle time

0 9 19 52 68

22

Work center

1 Work center

2

B A D C E

B F E

3

3

F

A

B F

34

D C

61

C

Bibliography

Baker, Kenneth A., and Dan Trietsch. Principles of Sequencing and Scheduling. New York: Wiley (2009).

Bard, Jonathan F. “Staff Scheduling in High Volume Service Facilities with Downgrading.” IIE Transactions 36 (2004): 985–997.

Bolander, Steven, and Sam G. Taylor. “Scheduling Techniques: A Comparison of Logic.” Production and Inventory Management Journal (1st Quarter 2000): 1–5.

Cayirli, Tugba, and Emre Veral. “Outpatient Scheduling in Health Care: A Review of Literature.” Production and Operations Management 12, no. 4 (Winter 2003): 519–549.

Chapman, Stephen. Fundamentals of Production Planning and Control. Upper Saddle River, NJ: Prentice Hall (2006).

Deng, Honghui, Q. Wang, G. K. Leong, and S. X. Sun. “Usage of Opportunity Cost to Maximize Performance in Revenue Management.” Decision Sciences 38, no. 4 (November 2008): 737–758.

Dietrich, Brenda, G. A. Paleologo, and L. Wynter. “Revenue Management in Business Services.” Production and Operations Management 17, no. 4 (July–August 2008): 475–480.

Farmer, Adam, Jeffrey S. Smith, and Luke T. Miller. “Scheduling Umpire Crews for Professional Tennis Tournaments.” Interfaces 37, no. 2 (March–April 2007): 187–196.

Geraghty, Kevin. “Revenue Management and Digital Marketing.” OR/MS Today 35, no. 6 (December 2008): 22–28.

Kellogg, Deborah L., and Steven Walczak. “Nurse Scheduling.” Interfaces 37, no. 4 (July–August 2007): 355–369.

Lopez, P., and F. Roubellat. Production Scheduling. New York: Wiley (2008).

Mondschein, S. V., and G. Y. Weintraub. “Appointment Policies in Service Operations.” Production and Operations Management 12, no. 2 (Summer 2003): 266–286.

Morton, Thomas E., and David W. Pentico. Heuristic Scheduling Systems. New York: Wiley (1993).

Pinedo, M. Scheduling: Theory, Algorithms, and Systems, 2nd ed. Upper Saddle River, N.J.: Prentice Hall (2002).

Plenert, Gerhard, and Bill Kirchmier. Finite Capacity Scheduling. New York: Wiley (2000).

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall (2009).

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Payroll Planning, Inc.: Describes setting a schedule for handling the accounting for dozens of client firms.

JIT and Lean Operations

Chapter Outline

GLOBAL COMPANY PROFILE: TOYOTA MOTOR CORPORATION

Just-in-Time, the Toyota Production System, and Lean Operations 498

Just-in-Time (JIT) 500

JIT Layout 503

JIT Inventory 504

JIT Scheduling 506

JIT Quality 510

Toyota Production System (TPS) 511

Lean Operations 512

Lean Operations in Services 513 � Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management � Independent Demand

� Dependent Demand

� JIT and Lean Operations

� Scheduling

� Maintenance

495

GLOBAL COMPANY PROFILE: TOYOTA MOTOR CORPORATION

ACHIEVING COMPETITIVE ADVANTAGE WITH LEAN OPERATIONS AT TOYOTA MOTOR CORPORATION

• Central to JIT is a philosophy of continued problem

solving. In practice, JIT means making only what is

needed, when it is needed. JIT provides an

excellent vehicle for finding and eliminating

problems because problems are easy to find in a

system that has no slack. When excess inventory is

eliminated, quality, layout, scheduling, and supplier

issues become immediately evident—as does

excess production.

• Central to TPS is employee learning and a

continuing effort to create and produce products

under ideal conditions. Ideal conditions exist only

when facilities, machines, and people are brought

T oyota Motor Corporation, with annual sales of

over 9 million cars and trucks, is the largest

vehicle manufacturer in the world. Two

techniques, just-in-time (JIT) and the Toyota

Production System (TPS), have been instrumental in

this post-WWII growth. Toyota, with a wide range of

vehicles, competes head-to-head with successful long-

established companies in Europe and the U.S. Taiichi

Ohno, a former vice president of Toyota, created the

basic framework for the world’s most discussed

systems for improving productivity, JIT and TPS. These

two concepts provide much of the foundation for lean

operations:

6

5

4

3

21

1

2

3

4

5

6

7

8

9 11

10 12 13 14

14

13

12

11

10

9

8

7

Reception entrance

Land available for Toyota expansion

Large supplier sites for future expansion.

Main assembly complex Tundras are built here.

Toyota Logistics Services coordinates the shipment of finished Tundras by truck or rail.

Supplier buildings surround main assembly complex.

Completed trucks exit here

Railway lines bring in engines from a Toyota plant in Alabama, axles from a supplier in Arkansas, and ship out finished trucks.

Tundras go from main assembly complex to test track or to staging area where they are shipped by truck or rail.

Metalsa Truck frames

Kautex Fuel tanks

Tenneco Automotive Exhaust systems

Curtis-Maruyasu America Inc. Tubing

Millenium Steel Service Texas LLC Steel processing

Green Metals Inc. Scrap steel recycling

Avanzar Interior Technologies Seats and interior parts

Toyotetsu Texas Stamped parts

Futaba Industrial Texas Corp. Stamped Parts

14 Suppliers outside the main plant

Outside: Toyota has a 2,000-acre site with 14 of the 21 onsite suppliers, adjacent rail lines, and near-by interstate highway. The site provides expansion space for both Toyota and for its suppliers — and provides an environment for Just-in-time.

Reyes-Amtex Interior parts

Toyoda-Gosei Texas LLC Interior/exterior parts

Vutex Inc. Assembly services

Takumi Stamping Texas Inc. Stamped Parts

MetoKote E-coater

496

together, adding value without waste. Waste

undermines productivity by diverting resources

to excess inventory, unnecessary processing, and

poor quality. Respect for people, extensive training,

cross-training, and standard work practices of

empowered employees focusing on driving out

waste are fundamental to TPS.

Toyota’s latest implementation of TPS and JIT

is present at its new San Antonio plant, the largest

Toyota land site for an automobile assembly plant in

the U.S. Interestingly, despite its annual production

capability of 200,000 Tundra pick-up trucks, the

building itself is one of the smallest in the industry.

Modern automobiles have 30,000 parts, but at Toyota,

independent suppliers combine many of these parts

into sub-assemblies. Twenty-one of these suppliers

are onsite at the San Antonio facility and transfer

components to the assembly line on a JIT basis.

Operations such as these taking place in the new

San Antonio plant are why Toyota continues to perform

near the top in quality and maintain the lowest labor-

hour assembly time in the industry. JIT, TPS, and lean

operations work—and they provide a competitive

advantage at Toyota Motor Corporation.

122

3

4

5

6

7

Level Schedules models mixed on production lines to meet customer orders.

JIT parts and supplies delivered just as needed in the quantity needed.

Standard Work Practices rigorous, agreed upon, documented procedures for production.

Andon problem display board that communicates abnormalities.

Minimal machines Proprietary machines designed for specific Toyota applications.

Pull System units produced only when more production is needed.

Jidoka machines with built-in devices for monitoring performance and making judgements.

Assembly Components placed in cab for easy access rather than on shelves adjacent to the assembly line.

Respect for People employees treated as knowledge workers.

Empowered Employees can stop production, ideas solicited, quality circles, etc.

Kaizen Area an area where suggestions are tested and evaluated.

Kanban signal that indicates production of small batches of components.

Toyota’s San Antonio plant has about 2 million interior sq. ft., providing facilities within the final assembly building for 7 of the 21 onsite suppliers, and capacity to build 200,000 pick-up trucks annually. But most importantly, Toyota practices the world-class Toyota Production System and expects its suppliers to do the same thing wherever they are.

7 Suppliers inside the main plant

AGC Automotive Americas Glass assemblies

ARK Inc. Industrial waste management, recycling

HERO Assemblers LLP Assembly of tire on to wheel

HERO Logistics LLP Logistics

PPG Industries Inc. Glass assemblies

Reyes Automotive Group Interior/exterior parts

Tokai Rika Functional parts

1

TOYOTA MOTOR CORPORATION �

497

498 PART 3 Managing Operations

JUST-IN-TIME, THE TOYOTA PRODUCTION SYSTEM, AND LEAN OPERATIONS As shown in the Global Company Profile, the Toyota Production System (TPS) contributes to a world-class operation at Toyota Motor Corporation. In this chapter, we discuss JIT, TPS, and lean operations as approaches to continuing improvement that drive out waste and lead to world- class organizations.

Just-in-time (JIT) is an approach of continuous and forced problem solving via a focus on throughput and reduced inventory. The Toyota Production System (TPS), with its emphasis on continuous improvement, respect for people, and standard work practices, is particularly suited for assembly lines. Lean operations supplies the customer with exactly what the customer wants when the customer wants it, without waste, through continuous improvement. Lean oper- ations are driven by workflow initiated by the “pull” of the customer’s order. When implemented as a comprehensive manufacturing strategy, JIT, TPS, and lean systems sustain competitive advantage and result in increased overall returns.

If there is any distinction between JIT, TPS, and lean operations, it is that:

• JIT emphasizes forced problem solving. • TPS emphasizes employee learning and empowerment in an assembly-line environment. • Lean operations emphasize understanding the customer.

However, in practice, there is little difference, and the terms are often used interchangeably. Leading organizations use the approaches and techniques that make sense for them. In this chap- ter, we use the term lean operations to encompass all of the related approaches and techniques.

Regardless of the label put on operations improvement, good production systems require that managers address three issues that are pervasive and fundamental to operations management: eliminate waste, remove variability, and improve throughput. We first introduce these three issues and then discuss the major attributes of JIT, TPS, and lean operations. Finally, we look at lean operations applied to services.

Eliminate Waste Traditional producers have limited goals—accepting, for instance, the production of some defec- tive parts and some inventory. Lean producers set their sights on perfection; no bad parts, no inventory, only value-added activities, and no waste. Any activity that does not add value in the eyes of the customer is a waste. The customer defines product value. If the customer does not want to pay for it, it is a waste. Taiichi Ohno, noted for his work on the Toyota Production System, iden- tified seven categories of waste. These categories have become popular in lean organizations and cover many of the ways organizations waste or lose money. Ohno’s seven wastes are:

• Overproduction: Producing more than the customer orders or producing early (before it is demanded) is waste. Inventory of any kind is usually a waste.

• Queues: Idle time, storage, and waiting are wastes (they add no value). • Transportation: Moving material between plants or between work centers and handling more

than once is waste. • Inventory: Unnecessary raw material, work-in-process (WIP), finished goods, and excess

operating supplies add no value and are wastes.

LO2: Define the seven wastes and the 5Ss

Seven wastes Overproduction Queues Transportation Inventory Motion Overprocessing Defective product

LO1: Define just-in-time, TPS, and lean operations 498

LO2: Define the seven wastes and the 5Ss 498

LO3: Explain JIT partnerships 502

LO4: Determine optimal setup time 505

Chapter 16 Learning Objectives

LO5: Define kanban 508

LO6: Compute the required number of kanbans 510

LO7: Explain the principles of the Toyota Production System 511

Lean operations Eliminates waste through a focus on exactly what the customer wants.

Toyota Production System (TPS) Focus on continuous improvement, respect for people, and standard work practices.

Just-in-time (JIT) Continuous and forced problem solving via a focus on throughput and reduced inventory.

LO1: Define just-in-time, TPS, and lean operations

AUTHOR COMMENT World-class firms

everywhere are using these three techniques.

Chapter 16 JIT and Lean Operations 499

• Motion: Movement of equipment or people that adds no value is waste. • Overprocessing: Work performed on the product that adds no value is waste. • Defective product: Returns, warranty claims, rework, and scrap are a waste.

A broader perspective—one that goes beyond immediate production—suggests that other resources, such as energy, water, and air, are often wasted but should not be. Efficient, sustain- able production minimizes inputs and maximizes outputs, wasting nothing.

For over a century, managers have pursued “housekeeping” for a neat, orderly, and efficient workplace and as a means of reducing waste. Operations managers have embellished “housekeep- ing” to include a checklist—now known as the 5Ss.1 The Japanese developed the initial 5Ss. Not only are the 5Ss a good checklist for lean operations, they also provide an easy vehicle with which to assist the culture change that is often necessary to bring about lean operations. The 5Ss follow:

• Sort/segregate: Keep what is needed and remove everything else from the work area; when in doubt, throw it out. Identify non-value items and remove them. Getting rid of these items makes space available and usually improves work flow.

• Simplify/straighten: Arrange and use methods analysis tools (see Chapter 7 and Chapter 10) to improve work flow and reduce wasted motion. Consider long-run and short-run ergonomic issues. Label and display for easy use only what is needed in the immediate work area. For examples of visual displays see Chapter 10, Figure 10.8.

• Shine/sweep: Clean daily; eliminate all forms of dirt, contamination, and clutter from the work area.

• Standardize: Remove variations from the process by developing standard operating proce- dures and checklists; good standards make the abnormal obvious. Standardize equipment and tooling so that cross-training time and cost are reduced. Train and retrain the work team so that when deviations occur, they are readily apparent to all.

• Sustain/self-discipline: Review periodically to recognize efforts and to motivate to sustain progress. Use visuals wherever possible to communicate and sustain progress.

U.S. managers often add two additional Ss that contribute to establishing and maintaining a lean workplace:

• Safety: Build good safety practices into the above five activities. • Support/maintenance: Reduce variability, unplanned downtime, and costs. Integrate daily

shine tasks with preventive maintenance.

The Ss provide a vehicle for continuous improvement with which all employees can identify. Operations managers need think only of the examples set by a well-run hospital emergency room or the spit-and-polish of a fire department for a benchmark. Offices and retail stores, as well as manufacturers, have successfully used the 5Ss in their respective efforts to eliminate waste and move to lean operations. A place for everything and everything in its place does make a differ- ence in a well-run office. And retail stores successfully use the Ss to reduce misplaced merchan- dise and improve customer service. An orderly workplace reduces waste so that assets are released for other, more productive, purposes.

Remove Variability Managers seek to remove variability caused by both internal and external factors. Variability is any deviation from the optimum process that delivers perfect product on time, every time. Variability is a polite word for problems. The less variability in a system, the less waste in the system. Most variability is caused by tolerating waste or by poor management. Among the many sources of variability are:

• Poor production processes that allow employees and suppliers to produce improper quantities or late or non-conforming units

• Unknown customer demands • Incomplete or inaccurate drawings, specifications, and bills of material

5Ss A lean production checklist: Sort Simplify Shine Standardize Sustain

1The term 5S comes from the Japanese words seiri (sort and clear out), seiton (straighten and configure), seiso (scrub and cleanup), seiketsu (maintain sanitation and cleanliness of self and workplace), and shitsuke (self-discipline and standardization of these practices).

Variability Any deviation from the optimum process that delivers perfect product on time, every time.

500 PART 3 Managing Operations

Both JIT and inventory reduction are effective tools for identifying causes of variability. The pre- cise timing of JIT makes variability evident, just as reducing inventory exposes variability. The removal of variability allows managers to move good materials on schedule, add value at each step of the production process, drive down costs, and win orders.

Improve Throughput Throughput time is the time that it takes to move an order from receipt to delivery. Each minute products remain on the books, costs accumulate and competitive advantage is lost. The time that an order is in the shop is called manufacturing cycle time. This is the time between the arrival of raw materials and the shipping of finished product. For example, phone-system manufacturer Northern Telecom now has materials pulled directly from qualified suppliers to the assembly line. This effort has reduced a segment of Northern’s manufacturing cycle time from 3 weeks to just 4 hours, the incoming inspection staff from 47 to 24, and problems on the shop floor caused by defective materials by 97%. Driving down manufacturing cycle time can make a major improvement in throughput.

A technique for increasing throughput is a pull system. A pull system pulls a unit to where it is needed just as it is needed. Pull systems are a standard tool of JIT systems. Pull systems use signals to request production and delivery from supplying stations to stations that have produc- tion capacity available. The pull concept is used both within the immediate production process and with suppliers. By pulling material through the system in very small lots—just as it is needed—waste and inventory are removed. As inventory is removed, clutter is reduced, problems become evident, and continuous improvement is emphasized. Removing the cushion of inven- tory also reduces both investment in inventory and manufacturing cycle time. A push system dumps orders on the next downstream workstation, regardless of timeliness and resource avail- ability. Push systems are the antithesis of JIT. Pulling material through a production process as it is needed rather than in a “push” mode typically lowers cost and improves schedule perfor- mance, enhancing customer satisfaction.

JUST-IN-TIME (JIT) With its forced problem solving via a focus on rapid throughput and reduced inventory, JIT pro- vides a powerful strategy for improving operations. With JIT, materials arrive where they are needed only when they are needed. When good units do not arrive just as needed, a “problem” has been identified. By driving out waste and delay in this manner, JIT reduces costs associated with excess inventory, cuts variability and waste, and improves throughput. JIT is a key ingredient of lean operations and is particularly helpful in supporting strategies of rapid response and low cost.

Throughput time The time required to move orders through the production process, from receipt to delivery.

Manufacturing cycle time The time between the arrival of raw materials and the shipping of finished products.

Pull system A concept that results in material being produced only when requested and moved to where it is needed just as it is needed.

AUTHOR COMMENT JIT places added demands on performance, but that

is why it pays off.

Many services have adopted JIT techniques as a normal part of their business. Restaurants like Olive Garden and Red Lobster expect and receive JIT deliveries. Both buyer and supplier expect fresh, high-quality produce delivered without fail just when it is needed. The system doesn’t work any other way.

Chapter 16 JIT and Lean Operations 501

JIT partnerships Partnerships of suppliers and purchasers that remove waste and drive down costs for mutual benefits.

Consignment inventory An arrangement in which the supplier maintains title to the inventory until it is used.

Every moment material is held, an activity that adds value should be occurring. Consequently, as Figure 16.1 suggests, JIT often yields a competitive advantage.

Effective JIT requires a meaningful buyer–supplier partnership.

JIT Partnerships A JIT partnership exists when a supplier and a purchaser work together with open communica- tion and a goal of removing waste and driving down costs. Close relationships and trust are crit- ical to the success of JIT. Figure 16.2 shows the characteristics of JIT partnerships. Some specific goals of JIT partnerships are:

• Removal of unnecessary activities, such as receiving, incoming inspection, and paperwork related to bidding, invoicing, and payment.

• Removal of in-plant inventory by delivery in small lots directly to the using department as needed.

• Removal of in-transit inventory by encouraging suppliers to locate nearby and provide fre- quent small shipments. The shorter the flow of material in the resource pipeline, the less inventory. Inventory can also be reduced through a technique known as consignment. Consignment inventory (see the OM in Action box “Lean Production at Cessna Aircraft”), a variation of vendor-managed inventory (Chapter 11), means the supplier maintains the title to the inventory until it is used. For instance, an assembly plant may find a hardware supplier that is willing to locate its warehouse where the user currently has its stockroom. In this manner, when hardware is needed, it is no farther than the stockroom. Schedule and produc- tion information must be shared with the consignment supplier, or inventory holding costs will just be transferred from the buyer to the supplier, with no net cost reduction. Another option is to have the supplier ship to other, perhaps smaller, purchasers from the “stockroom.”

• Obtain improved quality and reliability through long-term commitments, communication, and cooperation.

Layout: Work-cells; Group technology; Flexible machinery; Organized workplace; Reduced space for inventory.

Few vendors; Supportive supplier relationships; Quality deliveries on time, directly to work areas.

Suppliers:

JIT TECHNIQUES:

Inventory: Small lot sizes; Low setup time; Specialized parts bins

Zero deviation from schedules; Level schedules; Suppliers informed of schedules; Kanban techniques

Scheduling:

Scheduled; Daily routine; Operator involvement

Statistical process control; Quality suppliers; Quality within the firm

Preventive maintenance:

Quality production:

Empowered and cross-trained employees; Training support; Few job classifications to ensure flexibility of employees

Employee empowerment:

Support of management, employees, and suppliers

Rapid throughput frees assets

Quality improvement reduces waste

Cost reduction adds pricing flexibility

Variability reduction

Rework reduction

Commitment:

WHICH RESULTS IN:

WHICH WINS ORDERS BY:

Faster response to the customer at lower cost and higher quality—

A Competitive Advantage

� FIGURE 16.1 JIT Contributes to Competitive Advantage

502 PART 3 Managing Operations

Leading organizations view suppliers as extensions of their own organizations and expect suppliers to be fully committed to improvement. Such relationships require a high degree of respect by both supplier and purchaser. Supplier concerns can be significant; Harley-Davidson, for example, ini- tially had difficulty implementing JIT because supplier issues outweighed the perceived benefits.

Concerns of Suppliers Successful JIT partnerships require that supplier concerns be addressed. These concerns include:

1. Diversification: Suppliers may not want to tie themselves to long-term contracts with one customer. The suppliers’ perception is that they reduce their risk if they have a variety of customers.

2. Scheduling: Many suppliers have little faith in the purchaser’s ability to produce orders to a smooth, coordinated schedule.

Mutual Understanding

and Trust

Suppliers Locate near buyer Extend JIT techniques to their suppliers Include packaging and routing details Detail ID and routing labels Focus on core competencies

Quantities Produce small lots Deliver with little overage and underage Meet mutually developed quality requirements Produce with zero defects

Shipping Seek joint scheduling and shipping efficiencies Consider third-party logistics Use advance shipping notice (ASN) Ship frequent small orders

Buyers Share customer preferences and demand forecasts Minimize product specifications and encourage innovation Support supplier innovation and price competitiveness Develop long-term relationships Focus on core competencies Process orders with minimal paperwork (use EDI or Internet)

� FIGURE 16.2 Characteristics of JIT Partnerships

Third, the company used group technology and manufacturing cells to move away from a batch process that resulted in large inventories and unsold planes. Now, Cessna pulls product through its plant only when a specific order is placed.

These commitments to manufacturing efficiency are part of the lean operations that has made Cessna the world’s largest manufacturer of single-engine aircraft.

Sources: www.cessna.com (2007); Strategic Finance (November 2002): 32; Purchasing (September 4, 2003): 25–30; and Fortune (May 1, 2000): 1222B.

OM in Action � Lean Production at Cessna Aircraft

LO3: Explain JIT partnerships

When Cessna Aircraft opened its new plant in Independence, Kansas, it saw the opportunity to switch from a craftwork mentality producing small single-engine planes to a lean manufacturing system. In doing so, Cessna adopted three lean practices.

First, Cessna set up consignment- and vendor- managed inventories with several of its suppliers. Blanket purchase orders allow Honeywell, for example, to maintain a 30-day supply of avionic parts onsite. Other vendors were encouraged to use a nearby warehouse to keep parts that could then be delivered daily to the production line.

Second, Cessna managers committed to cross-training, in which team members learn the duties of other team members and can shift across assembly lines as needed. To develop these technical skills, Cessna brought in 60 retired assembly-line workers to mentor and teach new employees. Employees were taught to work as a team and to assume responsibility for their team’s quality.

Chapter 16 JIT and Lean Operations 503

� TABLE 16.1 JIT Layout Tactics

Build work cells for families of products

Include a large number of operations in a small area

Minimize distance Design little space for

inventory Improve employee

communication Use poka-yoke devices Build flexible or movable

equipment Cross-train workers to add

flexibility

3. Lead time: Engineering or specification changes can play havoc with JIT because of inade- quate lead time for suppliers to implement the necessary changes.

4. Quality: Suppliers’capital budgets, processes, or technology may limit ability to respond to changes in product and quality.

5. Lot sizes: Suppliers may see frequent delivery in small lots as a way to transfer buyers’ holding costs to suppliers.

JIT LAYOUT JIT layouts reduce another kind of waste—movement. The movement of material on a factory floor (or paper in an office) does not add value. Consequently, managers want flexible layouts that reduce the movement of both people and material. JIT layouts place material directly in the location where needed. For instance, an assembly line should be designed with delivery points next to the line so material need not be delivered first to a receiving department and then moved again. This is what VF Corporation’s Wrangler Division in Greensboro, North Carolina, did; denim is now delivered directly to the line. Toyota has gone one step farther and places hardware and components in the chassis of each vehicle moving down the assembly line. This is not only convenient, but it allows Toyota to save space and opens areas adjacent to the assembly line pre- viously occupied by shelves. When a layout reduces distance, firms often save labor and space and may have the added bonus of eliminating potential areas for accumulation of unwanted inventory. Table 16.1 provides a list of JIT layout tactics.

Distance Reduction Reducing distance is a major contribution of work cells, work centers, and focused factories (see Chapter 9). The days of long production lines and huge economic lots, with goods passing through monumental, single-operation machines, are gone. Now firms use work cells, often arranged in a U shape, containing several machines performing different operations. These work cells are often based on group technology codes (as discussed in Chapter 5). Group technology codes help identify components with similar characteristics so we can group them into families. Once families are identified, work cells are built for them. The result can be thought of as a small product-oriented facility where the “product” is actually a group of similar products—a family of products. The cells produce one good unit at a time, and ideally they produce the units only after a customer orders them.

Increased Flexibility Modern work cells are designed so they can be easily rearranged to adapt to changes in volume, product improvements, or even new designs. Almost nothing in these new departments is bolted down. This same concept of layout flexibility applies to office environments. Not only is most office furniture and equipment movable, but so are office walls, computer connections, and telecommuni- cations. Equipment is modular. Layout flexibility aids the changes that result from product and process improvements that are inevitable with a philosophy of continuous improvement.

Impact on Employees JIT layouts allow cross-trained employees to bring flexibility and efficiency to the work cell. Employees working together can tell each other about problems and opportunities for improve- ment. When layouts provide for sequential operations, feedback can be immediate. Defects are waste. When workers produce units one at a time, they test each product or component at each subsequent production stage. Machines in work cells with self-testing poka-yoke functions detect defects and stop automatically when they occur. Before JIT, defective products were replaced from inventory. Because surplus inventory is not kept in JIT facilities, there are no such buffers. Getting it right the first time is critical.

Reduced Space and Inventory Because JIT layouts reduce travel distance, they also reduce inventory by removing space for inventory. When there is little space, inventory must be moved in very small lots or even single units. Units are always moving because there is no storage. For instance, each month Security

504 PART 3 Managing Operations

� TABLE 16.2 JIT Inventory Tactics

Use a pull system to move inventory

Reduce lot size Develop just-in-time

delivery systems with suppliers

Deliver directly to the point of use

Perform to schedule Reduce setup time Use group technology

� FIGURE 16.3 High levels of inventory hide problems (a), but as we reduce inventory, problems are exposed (b), and finally after reducing inventory and removing problems we have lower inventory, lower costs, and smooth sailing (c).

Inventory level

Scrap

Setup time

Late deliveries

Quality problems

Process downtime

(a)

Inventory level

(c)

Inventory level

Scrap

Setup time

Late deliveries

Quality problems

Process downtime

(b)

No scrap

Setup time reduced

No late deliveries

Quality problems removed Process

downtime removed

Pacific Corporation’s focused facility sorts 7 million checks, processes 5 million statements, and mails 190,000 customer statements. With a JIT layout, mail processing time has been reduced by 33%, salary costs by tens of thousands of dollars per year, floor space by 50%, and in-process waiting lines by 75% to 90%. Storage, including shelves and drawers, has been removed.

JIT INVENTORY Inventories in production and distribution systems often exist “just in case” something goes wrong. That is, they are used just in case some variation from the production plan occurs. The “extra” inventory is then used to cover variations or problems. Effective inventory tactics require “just in time,” not “just in case.” Just-in-time inventory is the minimum inventory necessary to keep a perfect system running. With just-in-time inventory, the exact amount of goods arrives at the moment it is needed, not a minute before or a minute after. Some useful JIT inventory tactics are shown in Table 16.2 and discussed in more detail in the following sections.

Reduce Inventory and Variability Operations managers move toward JIT by first removing inventory. The idea is to eliminate variabil- ity in the production system hidden by inventory. Reducing inventory uncovers the “rocks” in Figure 16.3(a) that represent the variability and problems currently being tolerated. With reduced inventory, management chips away at the exposed problems. After the lake is lowered, managers make addi- tional cuts in inventory and continue to chip away at the next level of exposed problems (see Figure 16.3[b,c]). Ultimately, there will be virtually no inventory and no problems (variability).

Dell estimates that the rapid changes in technology costs % to 2% of its inventory’s value each week. Shigeo Shingo, co-developer of the Toyota JIT system, says, “Inventory is evil.” He is not far from the truth. If inventory itself is not evil, it hides evil at great cost.

Reduce Lot Sizes Just-in-time has also come to mean elimination of waste by reducing investment in inventory. The key to JIT is producing good product in small lot sizes. Reducing the size of batches can be a major help in reducing inventory and inventory costs. As we saw in Chapter 12, when inventory usage is constant, the average inventory level is the sum of the maximum inventory plus the min- imum inventory divided by 2. Figure 16.4 shows that lowering the order size increases the num- ber of orders but drops inventory levels.

Ideally, in a JIT environment, order size is one and single units are being pulled from one adjacent process to another. More realistically, analysis of the process, transportation time, and containers used for transport are considered when determining lot size. Such analysis typically results in a small lot size but a lot size larger than one. Once a lot size has been determined, the

1 2

Just-in-time inventory The minimum inventory necessary to keep a perfect system running.

AUTHOR COMMENT Accountants book inventory as an asset, but operations managers know it is costly.

Inventory

“Inventory is evil.” S. Shingo

Chapter 16 JIT and Lean Operations 505

� FIGURE 16.4 Frequent Orders Reduce Average Inventory A lower order size increases the number of orders and total ordering cost but reduces average inventory and total holding cost.

200

100

In ve

n to

ry

Time

Q1 When average order size = 200 average inventory is 100

Q2 When average order size = 100 average inventory is 50

EOQ production order quantity model can be modified to determine the desired setup time. We saw in Chapter 12 that the production order quantity model takes the form:

(16-1)

where

Example 1 shows how to determine the desired setup time.

H = Holding cost p = Daily productionS = Setup cost d = Daily demandD = Annual demand

Q* = A

2DS

H31 - 1d>p24

� EXAMPLE 1 Determining optimal setup time

Crate Furniture, Inc., a firm that produces rustic furniture, desires to move toward a reduced lot size. Crate Furniture’s production analyst, Aleda Roth, determined that a 2-hour production cycle would be acceptable between two departments. Further, she concluded that a setup time that would accommo- date the 2-hour cycle time should be achieved.

APPROACH � Roth developed the following data and procedure to determine optimum setup time analytically:

Annual demand 400,000 units

Daily demand 400,000 per 250 days 1,600 units per day

Daily production rate 4,000 units per day

EOQ desired 400 (which is the 2-hour demand; that is, 1,600 per day per four 2-hour periods)

Holding cost $20 per unit per year

Setup cost (to be determined)

SOLUTION � Roth determines that the cost, on an hourly basis, of setting up equipment is $30. Further, she computes that the setup cost per setup should be:

(16-2)

= 0.08 hour, or 4.8 minutes = $2.40>1$30 per hour2

Setup time = $2.40>1hourly labor rate2

= 13,200,000210.62

800,000 = $2.40

= 140022120211 - 1,600>4,0002

2(400,000)

S = (Q2)(H)(1 - d>p)

2D

Q2 = 2DS

H11 - d>p2

Q = A

2DS

H11 - d>p2

S = =H =

=Q = =p =

==d = =D =

LO4: Determine optimal setup time

Only two changes need to be made for small-lot material flow to work. First, material handling and work flow need to be improved. With short production cycles, there can be very little wait time. Improving material handling is usually easy and straightforward. The second change is more challenging, and that is a radical reduction in setup times. We discuss setup reduction next.

Reduce Setup Costs Both inventory and the cost of holding it go down as the inventory-reorder quantity and the max- imum inventory level drop. However, because inventory requires incurring an ordering or setup cost that must be applied to the units produced, managers tend to purchase (or produce) large orders. With large orders, each unit purchased or ordered absorbs only a small part of the setup cost. Consequently, the way to drive down lot sizes and reduce average inventory is to reduce setup cost, which in turn lowers the optimum order size.

The effect of reduced setup costs on total cost and lot size is shown in Figure 16.5. Moreover, smaller lot sizes hide fewer problems. In many environments, setup cost is highly correlated with setup time. In a manufacturing facility, setups usually require a substantial amount of preparation. Much of the preparation required by a setup can be done prior to shut- ting down the machine or process. Setup times can be reduced substantially, as shown in Figure 16.6. For instance, in Kodak’s Guadalajara, Mexico, plant a team reduced the setup time to change a bearing from 12 hours to 6 minutes! This is the kind of progress that is typi- cal of world-class manufacturers.

Just as setup costs can be reduced at a machine in a factory, setup time can also be reduced during the process of getting the order ready. It does little good to drive down factory setup time from hours to minutes if orders are going to take 2 weeks to process or “set up” in the office. This is exactly what happens in organizations that forget that JIT concepts have applications in offices as well as in the factory. Reducing setup time (and cost) is an excellent way to reduce inventory investment and to improve productivity.

JIT SCHEDULING Effective schedules, communicated both within the organization and to outside suppliers, sup- port JIT. Better scheduling also improves the ability to meet customer orders, drives down inventory by allowing smaller lot sizes, and reduces work-in-process. For instance, Ford

506 PART 3 Managing Operations

INSIGHT � Now, rather than produce components in large lots, Crate Furniture can produce in a 2-hour cycle with the advantage of an inventory turnover of four per day.

LEARNING EXERCISE � If labor cost goes to $40 per hour, what should be the setup time? [Answer: .06 hour, or 3.6 minutes.]

RELATED PROBLEMS � 16.8, 16.9, 16.10

AUTHOR COMMENT Reduced lot sizes must

be accompanied by reduced setup times.

AUTHOR COMMENT Effective scheduling is

required for effective use of capital and personnel.

C o

st

Holding cost

T2

S2

T1

S1

Sum of ordering and holding cost

Setup cost curves (S1, S2)

Lot size

� FIGURE 16.5 Lower Setup Costs Will Lower Total Cost More frequent orders require reducing setup costs; otherwise, inventory costs will rise. As the setup costs are lowered (from S1 to S2), total inventory costs also fall (from T1 to T2).

Chapter 16 JIT and Lean Operations 507

Motor Company now ties some suppliers to its final assembly schedule. Ford communicates its schedules to bumper manufacturer Polycon Industries from the Ford Oakville production control system. The scheduling system describes the style and color of the bumper needed for each vehicle moving down the final assembly line. The scheduling system transmits the infor- mation to portable terminals carried by Polycon warehouse personnel who load the bumpers onto conveyors leading to the loading dock. The bumpers are then trucked 50 miles to the Ford plant. Total time is 4 hours. However, as we saw in our opening Global Company Profile, Toyota has moved its seat supplier inside the new Tundra plant; this has driven down delivery time even further.

Table 16.3 suggests several items that can contribute to achieving these goals, but two tech- niques (in addition to communicating schedules) are paramount. They are level schedules and kanban.

Level Schedules Level schedules process frequent small batches rather than a few large batches. Because this technique schedules many small lots that are always changing, it has on occasion been called “jelly bean” scheduling. Figure 16.7 contrasts a traditional large-lot approach using large batches with a JIT level schedule using many small batches. The operations manager’s task is to make and move small lots so the level schedule is economical. This requires success with the issues discussed in this chapter that allow small lots. As lots get smaller, the constraints may change and become increasingly challenging. At some point, processing a unit or two may not be feasible.

90 min

60 min

40 min

25 min

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

15 min

13 min

Train operators and standardize work procedures (save 2 minutes)

Repeat cycle until subminute setup is achieved

Use one-touch system to eliminate adjustments (save 10 minutes)

Separate setup into preparation and actual setup, doing as much as possible while the

machine/process is operating (save 30 minutes)

Initial Setup Time

Move material closer and improve material handling

(save 20 minutes)

Standardize and improve tooling

(save 15 minutes)

� FIGURE 16.6 Steps for Reducing Setup Times Reduced setup times are a major JIT component.

� TABLE 16.3 JIT Scheduling Tactics

Communicate schedules to suppliers

Make level schedules Freeze part of the

schedule Perform to schedule Seek one-piece-make

and one-piece-move Eliminate waste Produce in small lots Use kanbans Make each operation

produce a perfect part

Level schedules Scheduling products so that each day’s production meets the demand for that day.

AA BBB C AA BBB C AA BBB C AA BBB C AA BBB C AA BBB C AA BBB C AA BBB C

AAAAAA BBBBBBBBB CCC AAAAAA BBBBBBBBB CCC AAAAAA BBBBBBBBB CCC

JIT Level Material-Use Approach

Large-Lot Approach

Time

� FIGURE 16.7 Scheduling Small Lots of Parts A, B, and C Increases Flexibility to Meet Customer Demand and Reduces Inventory The JIT approach to scheduling produces just as many of each model per time period as the large-lot approach, provided that setup times are lowered.

The constraint may be the way units are sold and shipped (four to a carton), or an expensive paint changeover (on an automobile assembly line), or the proper number of units in a sterilizer (for a food-canning line).

The scheduler may find that freezing the portion of the schedule closest to due dates allows the production system to function and the schedule to be met. Freezing means not allowing changes to be part of the schedule. Operations managers expect the schedule to be achieved with no deviations from the schedule.

Kanban One way to achieve small lot sizes is to move inventory through the shop only as needed rather than pushing it on to the next workstation whether or not the personnel there are ready for it. As noted earlier, when inventory is moved only as needed, it is referred to as a pull system, and the ideal lot size is one. The Japanese call this system kanban. Kanbans allow arrivals at a work cen- ter to match (or nearly match) the processing time.

Kanban is a Japanese word for card. In their effort to reduce inventory, the Japanese use sys- tems that “pull” inventory through work centers. They often use a “card” to signal the need for another container of material—hence the name kanban. The card is the authorization for the next container of material to be produced. Typically, a kanban signal exists for each container of items to be obtained. An order for the container is then initiated by each kanban and “pulled” from the producing department or supplier. A sequence of kanbans “pulls” the material through the plant.

The system has been modified in many facilities so that even though it is called a kanban, the card itself does not exist. In some cases, an empty position on the floor is sufficient indication that the next container is needed. In other cases, some sort of signal, such as a flag or rag (Figure 16.8) alerts that it is time for the next container.

When there is visual contact between producer and user, the process works like this:

1. The user removes a standard-size container of parts from a small storage area, as shown in Figure 16.8.

2. The signal at the storage area is seen by the producing department as authorization to replen- ish the using department or storage area. Because there is an optimum lot size, the produc- ing department may make several containers at a time.

Figure 16.9 shows how a kanban works, pulling units as needed from production. This system is similar to the resupply that occurs in your neighborhood supermarket: The customer buys; the stock clerk observes the shelf or receives notice from the end-of-day sales list and restocks. When the limited supply, if any, in the store’s storage is depleted, a “pull” signal is sent to the warehouse, distributor, or manufacturer for resupply, usually that night. The com- plicating factor in a manufacturing firm is the time needed for actual manufacturing (produc- tion) to take place.

508 PART 3 Managing Operations

Kanban The Japanese word for card, which has come to mean “signal”; a kanban system moves parts through production via a “pull” from a signal.

A kanban need not be as formal as signal lights or empty carts. The cook in a fast-food restaurant knows that when six cars are in line, eight meat patties and six orders of french fries should be cooking.

LO5: Define kanban

Chapter 16 JIT and Lean Operations 509

Several additional points regarding kanbans may be helpful:

• When the producer and user are not in visual contact, a card can be used; otherwise, a light or flag or empty spot on the floor may be adequate.

• Because a pull station may require several resupply components, several kanban pull tech- niques can be used for different products at the same pull station.

• Usually, each card controls a specific quantity of parts, although multiple card systems are used if the producing work cell produces several components or if the lot size is different from the move size.

• In an MRP system (see Chapter 14), the schedule can be thought of as a “build” authorization and the kanban as a type of “pull” system that initiates the actual production.

• The kanban cards provide a direct control (limit) on the amount of work-in-process between cells.

• If there is an immediate storage area, a two-card system may be used—one card circulates between user and storage area, and the other circulates between the storage area and the pro- ducing area.

Determining the Number of Kanban Cards or Containers The number of kanban cards, or containers, in a JIT system sets the amount of authorized inventory. To determine the number of containers moving back and forth between the using area and the producing areas, management first sets the size of each container. This is done by computing the lot size, using a

X201

Y302

Z405

Z405

Y302

X201

Signal marker hanging on post for part Z405 shows that production should start for that part. The post is located so that workers in normal locations can easily see it.

Signal marker on stack of boxes.

Part numbers mark location of specific part.

� FIGURE 16.8 Diagram of Outbound Stockpoint with Warning-Signal Marker

Work cell

Finished goods

Final assembly

Information flow

Material flow

Legend:

Material/Parts Supplier Customer

order

Kanban card

(pull signal)

Kanban card

(pull signal)

Kanban card

(pull signal)

� FIGURE 16.9 Kanban Signals “Pull” Material Through the Production Process As a customer “pulls” an order from finished goods, a signal (kanban card) is sent to the final assembly area. Final assembly produces and resupplies finished goods. When final assembly needs components, it sends a signal to its supplier, a work cell. The work cell, in turn, sends a signal to the material/parts supplier.

510 PART 3 Managing Operations

model such as the production order quantity model (discussed in Chapter 12 and shown again on pages 505–506 in Equation [16-1]). Setting the number of containers involves knowing (1) lead time needed to produce a container of parts and (2) the amount of safety stock needed to account for variability or uncertainty in the system. The number of kanban cards is computed as follows:

(16-3)

Example 2 illustrates how to calculate the number of kanbans needed.

Number of kanbans 1containers2 = Demand during lead time + Safety stock

Size of container

EXAMPLE 2 � Determining the number of kanban containers

Hobbs Bakery produces short runs of cakes that are shipped to grocery stores. The owner, Ken Hobbs, wants to try to reduce inventory by changing to a kanban system. He has developed the following data and asked you to finish the project.

APPROACH � Having determined that the EOQ size is 250, we then determine the number of kanbans (containers) needed.

SOLUTION �

INSIGHT � Once the reorder point is hit, five containers should be released.

LEARNING EXERCISE � If lead time drops to 1 day, how many containers are needed? [Answer: 3.]

RELATED PROBLEMS � 16.1, 16.2, 16.3, 16.4, 16.5, 16.6

Demand during lead time + Safety stock Container size

= 1,000 + 250

250 = 5

Number of kanbans 1containers2 needed =

Safety stock = 250 Lead time * Daily demand = 2 days * 500 cakes = 1,000

Demand during lead time =

Container size 1determined on a production order size EOQ basis2 = 250 cakes Safety stock = 12 day

Production lead time = Wait time + Material handling time + Processing time = 2 days Daily demand = 500 cakes

Advantages of Kanban Containers are typically very small, usually a matter of a few hours’ worth of production. Such a system requires tight schedules. Small quantities must be produced sev- eral times a day. The process must run smoothly with little variability in quality of lead time because any shortage has an almost immediate impact on the entire system. Kanban places added emphasis on meeting schedules, reducing the time and cost required by setups, and economical material handling.

Whether it is called kanban or something else, the advantages of small inventory and pulling material through the plant only when needed are significant. For instance, small batches allow only a very limited amount of faulty or delayed material. Problems are immediately evident. Numerous aspects of inventory are bad; only one aspect—availability—is good. Among the bad aspects are poor quality, obsolescence, damage, occupied space, committed assets, increased insurance, increased material handling, and increased accidents. Kanban systems put downward pressure on all these negative aspects of inventory.

In-plant kanban systems often use standardized, reusable containers that protect the specific quantities to be moved. Such containers are also desirable in the supply chain. Standardized con- tainers reduce weight and disposal costs, generate less wasted space in trailers, and require less labor to pack, unpack, and prepare items.

JIT QUALITY The relationship between JIT and quality is a strong one. They are related in three ways. First, JIT cuts the cost of obtaining good quality. This saving occurs because scrap, rework, inventory investment, and damage costs are buried in inventory. JIT forces down inventory; therefore, fewer bad units are produced and fewer units must be reworked. In short, whereas inventory hides bad quality, JIT immediately exposes it.

AUTHOR COMMENT Good quality costs less.

LO6: Compute the required number of kanbans

Chapter 16 JIT and Lean Operations 511

Second, JIT improves quality. As JIT shrinks queues and lead time, it keeps evidence of errors fresh and limits the number of potential sources of error. In effect, JIT creates an early warning system for quality problems so that fewer bad units are produced and feedback is immediate. This advantage can accrue both within the firm and with goods received from outside vendors.

Finally, better quality means fewer buffers are needed and, therefore, a better, easier-to- employ JIT system can exist. Often the purpose of keeping inventory is to protect against unreli- able quality. If consistent quality exists, JIT allows firms to reduce all costs associated with inventory. Table 16.4 suggests some requirements for quality in a JIT environment.

TOYOTA PRODUCTION SYSTEM (TPS) Toyota Motor’s Eiji Toyoda and Taiichi Ohno are given credit for the Toyota Production System (TPS) (see the Global Company Profile that opens this chapter). Three core components of TPS are continuous improvement, respect for people, and standard work practice.

Continuous Improvement Continuous improvement under TPS means building an organizational culture and instilling in its people a value system stressing that processes can be improved—indeed, that improvement is an integral part of every employee’s job. This process is formalized in TPS by kaizen, the Japanese word for change for the good, or what is more generally known as continuous improve- ment. In application, it means making a multitude of small or incremental changes as one seeks ellusive perfection. (See the OM in Action box “Kaizen at Ducati.”). Instilling the mantra of con- tinuous improvement begins at recruiting and continues through extensive and continuing train- ing. One of the reasons continuous improvement works at Toyota, we should note, is because of another core value at Toyota, Toyota’s respect for people.

Respect for People At Toyota, people are recruited, trained, and treated as knowledge workers. Aided by aggressive cross-training and few job classifications, TPS engages the mental as well as physical capacities of employees in the challenging task of improving operations. Employees are empowered. They are empowered to make improvements. They are empowered to stop machines and processes when quality problems exist. Indeed, empowered employees are a necessary part of TPS. This means that those tasks that have traditionally been assigned to staff are moved to employees. Toyota recognizes that employees know more about their jobs than anyone else. TPS respects employees by giving them the opportunity to enrich both their jobs and their lives.

Standard Work Practice Standard work practice at Toyota includes these underlying principles:

• Work is completely specified as to content, sequence, timing, and outcome. • Internal and external customer–supplier connections are direct, specifying personnel,

methods, timing, and quantity.

This auto plant, like most JIT facilities, empowers employees so they can stop the entire production line by pulling the overhead cord if any quality problems are spotted.

� TABLE 16.4 JIT Quality Tactics

Use statistical process control

Empower employees Build fail-safe methods

(poka-yoke, checklists, etc.)

Expose poor quality with small lot JIT

Provide immediate feedback

AUTHOR COMMENT TPS brings the entire

person to work.

LO7: Explain the principles of the Toyota Production System

Kaizen A focus on continuous improvement.

512 PART 3 Managing Operations

• Product and service flows are to be simple and direct. Goods and services are directed to a specific person or machine.

• Improvements in the system must be made in accordance with the “scientific method,” at the lowest possible level in the organization.2

TPS requires that activities, connections, and flows include built-in tests to automatically signal problems. Any gap between what is expected and what occurs becomes immediately evident. The education and training of Toyota’s employees and the responsiveness of the system to prob- lems make the seemingly rigid system flexible and adaptable to changing circumstances. The result is ongoing improvements in reliability, flexibility, safety, and efficiency.

LEAN OPERATIONS Lean production can be thought of as the end result of a well-run OM function. While JIT and TPS tend to have an internal focus, lean production begins externally with a focus on the cus- tomer. Understanding what the customer wants and ensuring customer input and feedback are starting points for lean production. Lean operations means identifying customer value by analyz- ing all the activities required to produce the product and then optimizing the entire process from the customer’s perspective.

Building a Lean Organization The transition to lean production is difficult. Building an organizational culture where learning, empowerment, and continuous improvement are the norm is a challenge. However, organiza- tions that focus on JIT, quality, and employee empowerment are often lean producers. Such firms drive out activities that do not add value in the eyes of the customer: they include leaders like United Parcel Service, Harley-Davidson, and, of course, Toyota. Even traditionally craft- oriented organizations such as Louis Vuitton (see the OM in Action box) find improved produc- tivity with lean operations. Lean operations adopt a philosophy of minimizing waste by striving for perfection through continuous learning, creativity, and teamwork. They tend to share the fol- lowing attributes:

• Use JIT techniques to eliminate virtually all inventory. • Build systems that help employees produce a perfect part every time. • Reduce space requirements by minimizing travel distance.

2Adopted from Steven J. Spear, “Learning to Lead at Toyota,” Harvard Business Review 82, no. 5 (May 2004): 78–86; and Steven Spear and H. Kent Bowen, “Decoding the DNA of the Toyota Production System,” Harvard Business Review 77, no. 5 (September–October 1999): 97–106.

Ducati Motor Holding SpA of Bologna, Italy, is a motorcycle racing company whose engineering department replicates its high-performance racing machines for street use. But the production department is more interested in replicating lean thinking and adapting the Toyota Production System to Ducati’s culture. Ducati has trained everyone throughout the plant, not just assembly specialists, in lean thinking. One result is a total productive maintenance effort and improved material flow that has increased machine reliability 12% and cut hourly costs 23%.

Another successful approach to drive out waste was Ducati’s 4-week workshop approach to kaizen. This is a longer commitment to kaizen teams than is typical, as kaizens are not designed for perfection on the first pass; progress, not perfection, is the objective. This approach provided an opportunity for incremental but significant

changes. The kaizen workshops also provided the added advantage of bringing people together in cross-functional teams, which reinforces a

culture of continuous improvement. The astounding results at Ducati would make Eiji

Toyoda and Taiichi Ohno, founders of TPS, proud. Production costs are down by 25%, manufacturing cycle time has been reduced by 50%, and quality before delivery has been increased by 70%.

Sources: The Wall Street Journal (March 26, 2008): D1, D5; Target 27, no. 4 (2007): 10–15; and www.oracle.com.

OM in Action � Kaizen at Ducati

AUTHOR COMMENT Lean drives out non-

value-added activities.

Chapter 16 JIT and Lean Operations 513

• Develop partnerships with suppliers, helping them to understand the needs of the ultimate customer.

• Educate suppliers to accept responsibility for satisfying end customer needs. • Eliminate all but value-added activities. Material handling, inspection, inventory, and rework

are the likely targets because these do not add value to the product. • Develop employees by constantly improving job design, training, employee commitment,

teamwork, and empowerment. • Make jobs challenging, pushing responsibility to the lowest level possible. • Build worker flexibility through cross-training and reducing job classifications.

Success requires the full commitment and involvement of managers, employees, and suppliers. The rewards that lean producers reap are spectacular. Lean producers often become benchmark performers.

LEAN OPERATIONS IN SERVICES The features of lean operations apply to services just as they do in other sectors. (See the OM in Action box “Toyota University Teaches Lean Thinking.”) Here are some examples applied to suppliers, layout, inventory, and scheduling in the service sector.

Suppliers As we have noted, virtually every restaurant deals with its suppliers on a JIT basis. Those that do not are usually unsuccessful. The waste is too evident—food spoils, and customers complain or get sick.

Layouts Lean layouts are required in restaurant kitchens, where cold food must be served cold and hot food hot. McDonald’s, for example, has reconfigured its kitchen layout at great expense to drive seconds out of the production process, thereby speeding delivery to customers. With the new process, McDonald’s can produce made-to-order hamburgers in 45 seconds. Layouts also make a difference in airline baggage claim, where customers expect their bags just-in-time.

Inventory Stockbrokers drive inventory down to nearly zero every day. Most sell and buy orders occur on an immediate basis because an unexecuted sell or buy order is not acceptable to the client. A broker may be in serious trouble if left holding an unexecuted trade. Similarly, McDonald’s reduces inventory waste by maintaining a finished-goods inventory of only 10 min- utes; after that, it is thrown away. Hospitals, such as Arnold Palmer (described in this chapter’s

LVMH Moet Hennessy Louis Vuitton is the world’s largest luxury-goods company. Its Louis Vuitton unit, responsible for half of the company’s profit, makes very upscale handbags and enjoys a rich markup on sales of about $5 billion. The return-on-investment is excellent, but sales could be even better: the firm often can’t match production to the sales pace of a successful new product. In the high fashion business that is all about speed-to-market, this is bad news; a massive overhaul was in order.

Changes on the factory floor were key to the overhaul. The traditional approach to manufacturing at Louis Vuitton was batch production: craftsmen, working on partially completed handbags, performed specialized tasks such as cutting, gluing, sewing, and assembly. Carts moved batches of semi-finished handbags on to the next workstation. It took 20 to 30 workers 8 days to make a handbag. And defects were high. Lean manufacturing looked like the way to go.

Craftsmen were retrained to do multiple tasks in small U-shaped work cells. Each work cell now contains 6 to

12 cross-trained workers and the necessary sewing machines and work tables. Consistent with one-piece flow, the work is passed through the cell from worker to worker. The system reduces inventory and allows workers to detect flaws earlier.

Rework under the old system was sometimes as high as 50% and internal losses as high as 4%. Returns are down by two-thirds. The system has not only improved productivity and quality, it also allows Louis Vuitton to respond to the market faster—with daily scheduling as opposed to weekly scheduling.

Sources: The Wall Street Journal (October 9, 2006): A1, A15 and (January 31, 2006): A1, A13.

OM in Action � Going Lean at Louis Vuitton

AUTHOR COMMENT JIT, TPS, and lean began in factories but are now

also used in services throughout the world.

VIDEO 16.1 JIT at Arnold Palmer Hospital

514 PART 3 Managing Operations

Video Case Study in the Lecture Guide & Activities Manual), manage JIT inventory and low safety stocks for many items. Even critical supplies such as pharmaceuticals may be held to low levels by developing community networks as backup systems. In this manner, if one pharmacy runs out of a needed drug, another member of the network can supply it until the next day’s shipment arrives.

Scheduling At airline ticket counters, the focus of the system is on adjusting to customer demand. But rather than being accommodated by inventory availability, demand is satisfied by personnel. Through elaborate scheduling, ticket counter personnel show up just-in-time to cover peaks in customer demand. In other words, rather than “things” inventoried, personnel are sched- uled. At a salon, the focus is only slightly different: the customer and the staff are scheduled to assure prompt service. At McDonald’s and Walmart, scheduling of personnel is down to 15-minute increments, based on precise forecasting of demand. Additionally, at McDonald’s, production is done in small lots to ensure that fresh, hot hamburgers are delivered just-in-time. In short, both personnel and production are scheduled to meet specific demand. Notice that in all three of these lean organizations—the airline ticket counter, the salon, and McDonald’s— scheduling is a key ingredient. Excellent forecasts drive those schedules. Those forecasts may be very elaborate, with seasonal, daily, and even hourly components in the case of the airline ticket counter (holiday sales, flight time, etc.), seasonal and weekly components at the salon (holidays and Fridays create special problems), and down to a few minutes (to respond to the daily meal cycle) at McDonald’s.

To deliver goods and services to customers under continuously changing demand, suppliers need to be reliable, inventories lean, cycle times short, and schedules nimble. A lean focus engages and empowers employees to create and deliver the customer’s perception of value, elim- inating whatever does not contribute to this goal. Lean operations are currently being developed with great success in many firms, regardless of their products. Lean techniques are widely used in both goods-producing and service-producing firms; they just look different.

Lean operations take on an unusual form in an operating room. McKesson-General, Baxter International, and many other hospital suppliers provide surgical supplies for hospitals on a JIT basis. (1) They deliver prepackaged surgical supplies based on hospital operating schedules, and (2) the surgical packages themselves are prepared so supplies are available in the sequence in which they will be used during surgery.

Based in Gardenia, California, Toyota University teaches its employees the Toyota Production System. But Toyota has also opened its door to others. As a public service, Toyota has been teaching lean thinking classes to the Los Angeles Police Department and the U.S. military. Classes begin, as one might expect, with a car-building exercise. Using model cars and desks as workstations and delivery areas, students begin with a focus on fast throughput and high production goals. This results in a “push” system, with lots of work-in- process piling up, lots of defects to be reworked, and too many of the wrong kind of cars on the “dealer’s” lot.

The exercise is then revised, and students are taught to respond to orders and to form kaizen (continuous

improvement) teams. The revised exercise then uses a “pull” system that responds to orders and fixes even the most minor problems immediately. With a focus only on filling orders and “pulling” demand through the production process with no defects, a faster, more efficient production line is formed.

Instructor Matthew May’s observation about adapting lean methods beyond the factory: “If you can do it with LAPD, you can do it anywhere.”

Sources: The Wall Street Journal (March 5, 2007): B1, B4; and www. isosupport.com.

OM in Action � Toyota University Teaches Lean Thinking

Chapter 16 JIT and Lean Operations 515

CHAPTER SUMMARY JIT, TPS, and lean operations are philosophies of continuous improvement. Lean operations focus on customer desires, TPS focuses on respect for people and standard work prac- tices, and JIT focuses on driving out waste by reducing inven- tory. But all three approaches reduce waste in the production process. And because waste is found in anything that does not add value, organizations that implement these techniques are

adding value more efficiently than other firms. The expectation of these systems is that empowered employ- ees work with committed manage- ment to build systems that respond to customers with ever-lower cost and higher quality.

Key Terms

Just-in-time (JIT) (p. 498) Toyota Production System (TPS) (p. 498) Lean operations (p. 498) Seven wastes (p. 498) 5Ss (p. 499)

Variability (p. 499) Throughput time (p. 500) Manufacturing cycle time (p. 500) Pull system (p. 500) JIT partnerships (p. 501)

Consignment inventory (p. 501) Just-in-time inventory (p. 504) Level schedules (p. 507) Kanban (p. 508) Kaizen (p. 511)

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 16.1 Krupp Refrigeration, Inc., is trying to reduce inventory and wants you to install a kanban system for compressors on one of its assembly lines. Determine the size of the kanban and the number of kanbans (containers) needed.

Safety stock = 12 day’s production of compressors Lead time = 3 days

* daily usage of 100 compressors2 Annual usage = 25,000 150 weeks * 5 days each Daily production = 200 compressors Annual holding cost per compressor = $100 Setup cost = $10

Bibliography

Burke, Robert, and Gregg Messel. “From Simulation to Implementation: Cardinal Health’s Lean Journey.” Target: Innovation at Work 19, no. 2 (2nd Quarter 2003): 27–32.

Flinchbauh, Jamie. The Hitchhiker’s Guide to Lean, Dearborn, MI: Society of Manufacturing Engineers (2006).

Graban, Mark. Lean Hospitals. New York: CRC Press (2009).

Hall, Robert W. “‘Lean’ and the Toyota Production System.” Target 20, no. 3 (3rd Issue 2004): 22–27.

Keyte, Beau, and Drew Locher. The Complete Lean Enterprise. University Park, IL: Productivity Press (2004).

Morgan, James M., and Jeffrey K. Liker. The Toyota Product Development System. New York: Productivity Press (2007).

� SOLUTION First, we must determine kanban container size. To do this, we determine the production order quantity (see dis- cussion in Chapter 12 or Equation [16-1]), which determines the kanban size:

So the production order size and the size of the kanban container .

Then we determine the number of kanbans:

= 300 + 100

100 =

400

100 = 4 containers

Number of kanbans = Demand during lead time + Safety stock

Size of container

Safety stock = 100 1= 12 * daily production of 2002

Demand during lead time = 300 1= 3 days * daily usage of 1002

= 100= 210,000 = 100 compressors.

Q*p =

Q

2DS

Ha1 - d

p b

=

Q

2125,00021102

Ha1 - d

p b

=

Q

500,000

100a1 - 100

200 b

= A

500,000

50

516 PART 3 Managing Operations

Nelson-Peterson, Dana L., and Carol J. Leppa, “Creating an Environment of Caring Using Lean Principles of the Virginia Mason Production System,” Journal of Nursing Administration 37 (2007): 289.

Parks, Charles M. “The Bare Necessities of Lean.” Industrial Engineer 35, no. 8 (August 2003): 39.

Schonberger, Richard J. “Lean Extended.” Industrial Engineer (December 2005): 26–31.

van Veen-Dirks, Paula. “Management Control and the Production Environment.” International Journal of Production Economics 93 (January 8, 2005): 263.

Womack, James P., and Daniel T. Jones. “Lean Consumption.” Harvard Business Review 83 (March 2005): 58–68.

Womack, James P., and Daniel T. Jones. Lean Solutions: How Companies and Customers Can Create Value and Wealth Together. New York: The Free Press (2005).

Maintenance and Reliability

Chapter Outline

GLOBAL COMPANY PROFILE: ORLANDO UTILITIES COMMISSION

The Strategic Importance of Maintenance and Reliability 520

Reliability 521

Maintenance 524

Total Productive Maintenance 528

Techniques for Enhancing Maintenance 529

� Design of Goods and Services

� Managing Quality

� Process Strategy

� Location Strategies

� Layout Strategies

� Human Resources

� Supply-Chain Management

� Inventory Management

� Scheduling

� Maintenance

517

GLOBAL COMPANY PROFILE: ORLANDO UTILITIES COMMISSION

MAINTENANCE PROVIDES A COMPETITIVE ADVANTAGE FOR ORLANDO UTILITIES COMMISSION

T he Orlando Utilities Commission (OUC) owns

and operates power plants that supply power to

two central Florida counties. Every year, OUC

takes each one of its power-generating units

off-line for 1 to 3 weeks to perform maintenance work.

Additionally, each unit is also taken off-line every

3 years for a complete overhaul and turbine generator

inspection. Overhauls are scheduled for spring and

fall, when the weather is mildest and demand for

power is low. These overhauls last from 6 to 8 weeks.

Units at OUC’s Stanton Energy Center require that

maintenance personnel perform approximately 12,000

repair and preventive maintenance tasks a year. To

accomplish these tasks efficiently, many of these jobs

are scheduled daily via a computerized maintenance

management program. The computer generates

preventive maintenance work orders and lists of

required materials.

Every day that a plant is down for maintenance

costs OUC about $110,000 extra for the replacement

The Stanton Energy Center in Orlando.

cost of power that must be generated elsewhere.

However, these costs pale beside the costs associated

with a forced outage. An unexpected outage could cost

OUC an additional $350,000 to $600,000 each day!

Scheduled overhauls are not easy; each one has

1,800 distinct tasks and requires 72,000 labor-hours.

But the value of preventive maintenance was

illustrated by the first overhaul of a new turbine

generator. Workers discovered a cracked rotor blade,

which could have destroyed a $27 million piece of

equipment. To find such cracks, which are invisible to

the naked eye, metals are examined using dye tests,

X-rays, and ultrasound.

At OUC, preventive maintenance is worth its

weight in gold. As a result, OUC’s electric distribution

system has been ranked number one in the

Southeast U.S. by PA Consulting Group—a leading

consulting firm. Effective maintenance provides a

competitive advantage for the Orlando Utilities

Commission.

518

� Two employees are on scaffolding near the top of Stanton Energy Center’s 23-story high boiler, checking and repairing super heaters.

� This inspector is examining a low-pressure section of turbine. The tips of these turbine blades will travel at supersonic speeds of 1,300 miles per hour when the plant is in operation. A crack in one of the blades can cause catastrophic failure.

� Maintenance of capital-intensive facilities requires good planning to minimize downtime. Here, turbine overhaul is under way. Organizing the thousands of parts and pieces necessary for a shutdown is a major effort.

ORLANDO UTILITIES COMMISSION �

519

LO1: Describe how to improve system reliability 521

LO2: Determine system reliability 522

LO3: Determine mean time between failures (MTBF) 523

LO4: Distinguish between preventive and breakdown maintenance 524

520 PART 3 Managing Operations

Chapter 17 Learning Objectives

THE STRATEGIC IMPORTANCE OF MAINTENANCE AND RELIABILITY Managers at Orlando Utilities Commission (OUC), the subject of the chapter-opening Global Company Profile, fight for reliability to avoid the undesirable results of equipment failure. At OUC, a generator failure is very expensive for both the company and its customers. Power outages are instantaneous, with potentially devastating consequences. Similarly, managers at Frito-Lay, Walt Disney Company, and United Parcel Service (UPS) are intolerant of failures or breakdowns. Maintenance is critical at Frito-Lay to achieve high plant utilization and excellent sanitation. At Disney, sparkling-clean facilities and safe rides are necessary to retain its standing as one of the most popular vacation destinations in the world. Likewise, UPS’s famed maintenance strategy keeps its delivery vehicles operating and looking as good as new for 20 years or more.

These companies, like most others, know that poor maintenance can be disruptive, inconve- nient, wasteful, and expensive in dollars and even in lives. As Figure 17.1 illustrates, the interde- pendency of operator, machine, and mechanic is a hallmark of successful maintenance and reliability. Good maintenance and reliability management enhances a firm’s performance and protects its investment.

The objective of maintenance and reliability is to maintain the capability of the system. Good maintenance removes variability. Systems must be designed and maintained to reach expected performance and quality standards. Maintenance includes all activities involved in keeping a system’s equipment in working order. Reliability is the probability that a machine part or prod- uct will function properly for a specified time under stated conditions.

In this chapter, we examine four important tactics for improving the reliability and mainte- nance not only of products and equipment but also of the systems that produce them. The four tactics are organized around reliability and maintenance.

The reliability tactics are:

1. Improving individual components 2. Providing redundancy

Maintenance The activities involved in keeping a system’s equipment in working order.

Reliability The probability that a machine part or product will function properly for a specified time under stated conditions.

LO5: Describe how to improve maintenance 525

LO6: Compare preventive and breakdown maintenance costs 527

LO7: Define autonomous maintenance 528

AUTHOR COMMENT If the system is not reliable,

everything else is more difficult.

AUTHOR COMMENT Employee commitment makes a big difference.

Maintenance and Reliability Procedures

Results

Reduced inventory

Improved quality

Improved capacity

Reputation for quality

Continuous improvement

Reduced variability Clean and lubricate

Monitor and adjust

Make minor repairs

Keep computerized records

Employee Involvement

Partnering with maintenance personnel

Skill training

Reward system

Employee empowerment

� FIGURE 17.1 Good Maintenance and Reliability Management Requires Employee Involvement and Good Procedures

VIDEO 17.1 Maintenance Drives Profits

at Frito-Lay

Chapter 17 Maintenance and Reliability 521

The maintenance tactics are:

1. Implementing or improving preventive maintenance 2. Increasing repair capabilities or speed

Variability corrupts processes and creates waste. The operations manager must drive out variabil- ity: Designing for reliability and managing for maintenance are crucial ingredients for doing so.

RELIABILITY Systems are composed of a series of individual interrelated components, each performing a spe- cific job. If any one component fails to perform, for whatever reason, the overall system (for example, an airplane or machine) can fail. First, we discuss improving individual components, and then we discuss providing redundancy.

Improving Individual Components Because failures do occur in the real world, understanding their occurrence is an important relia- bility concept. We now examine the impact of failure in a series. Figure 17.2 shows that as the number of components in a series increases, the reliability of the whole system declines very quickly. A system of interacting parts, each of which has a 99.5% reliability, has an over- all reliability of 78%. If the system or machine has 100 interacting parts, each with an individual reliability of 99.5%, the overall reliability will be only about 60%!

To measure reliability in a system in which each individual part or component may have its own unique rate of reliability, we cannot use the reliability curve in Figure 17.2. However, the method of computing system reliability ( ) is simple. It consists of finding the product of indi- vidual reliabilities as follows:

(17-1)

where

and so on. Equation (17-1) assumes that the reliability of an individual component does not depend on

the reliability of other components (that is, each component is independent). Additionally, in this equation as in most reliability discussions, reliabilities are presented as probabilities. Thus, a .90 reliability means that the unit will perform as intended 90% of the time. It also means that it will fail of the time. We can use this method to evaluate the reliability of a service or a product, such as the one we examine in Example 1.

1 - .90 = .10 = 10%

R2 = reliability of component 2 R1 = reliability of component 1

Rs = R1 * R2 * R3 * Á * Rn

Rs

n = 50

Average reliability of each component (percent)

100 98 97 96 0

20

40

60

80

100

R e lia

b ili

ty o

f th

e s

ys te

m (

p e rc

e n t)

99

n = 300 n

= 400

n = 100

n = 50

n = 10

n = 1

n = 200

� FIGURE 17.2 Overall System Reliability as a Function of Number of n Components (Each with the Same Reliability) and Component Reliability with Components in a Series

LO1: Describe how to improve system reliability

AUTHOR COMMENT Designing for reliability is an

excellent place to start reducing variability.

522 PART 3 Managing Operations

EXAMPLE 1 � Reliability in a series

The National Bank of Greeley, Colorado, processes loan applications through three clerks set up in series, with reliabilities of .90, .80, and .99. It wants to find the system reliability.

APPROACH � Apply Equation (17-1) to solve for Rs.

R3R2R1

.90 .80 .99 RS

SOLUTION � The reliability of the loan process is:

INSIGHT � Because each clerk in the series is less than perfect, the error probabilities are cumu- lative and the resulting reliability for this series is .713, which is less than any one clerk.

LEARNING EXERCISE � If the lowest-performing clerk (.80) is replaced by a clerk perform- ing at .95 reliability, what is the new expected reliability? [Answer: .846.]

RELATED PROBLEMS � 17.1, 17.2, 17.5, 17.11

EXCEL OM Data File Ch17Ex1.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 17.1 This example is further illustrated in Active Model 17.1 at www.pearsonhighered.com/heizer.

Rs = R1 * R2 * R3 = 1.9021.8021.992 = .713, or 71.3%

Component reliability is often a design or specification issue for which engineering design personnel may be responsible. However, supply-chain personnel may be able to improve compo- nents of systems by staying abreast of suppliers’ products and research efforts. Supply-chain personnel can also contribute directly to the evaluation of supplier performance.

The basic unit of measure for reliability is the product failure rate (FR). Firms producing high-technology equipment often provide failure-rate data on their products. As shown in Equations (17-2) and (17-3), the failure rate measures the percent of failures among the total number of products tested, FR(%), or a number of failures during a period of time, FR(N):

(17-2)

(17-3)

Perhaps the most common term in reliability analysis is the mean time between failures (MTBF), which is the reciprocal of FR(N):

(17-4)

In Example 2, we compute the percentage of failure FR(%), number of failures FR(N), and mean time between failures (MTBF).

MTBF = 1

FR1N2

FR1N2 = Number of failures

Number of unit-hours of operation time

FR1%2 = Number of failures

Number of units tested * 100%

EXAMPLE 2 � Determining mean time between failures

Twenty air-conditioning systems designed for use by astronauts in NASA’s space shuttles were oper- ated for 1,000 hours at NASA’s Huntsville, Alabama, test facility. Two of the systems failed during the test—one after 200 hours and the other after 600 hours.

APPROACH � To determine the percent of failures [FR(%)], the number of failures per unit of time [FR(N )], and the mean time between failures (MTBF), we use Equations (17-2), (17-3), and (17-4), respectively.

Mean time between failures (MTBF) The expected time between a repair and the next failure of a component, machine, process, or product.

LO2: Determine system reliability

Chapter 17 Maintenance and Reliability 523

SOLUTION � Percentage of failures:

Number of failures per operating hour:

where Total time (1,000 hr)(20 units) 20,000 unit-hour

Nonoperating time 800 hr for 1st failure + 400 hr for 2nd failure 1,200 unit-hour

Operating time Total time Nonoperating time

.000106 failure/unit-hour

Because

If the typical space shuttle trip lasts 6 days, NASA may be interested in the failure rate per trip:

INSIGHT � Mean time between failures (MTBF) is the standard means of stating reliability.

LEARNING EXERCISE � If non-operating time drops to 800, what is the new MTBF? [Answer: 9,606 hr.]

RELATED PROBLEMS � 17.6, 17.7

= .0153 failure/trip = 1.00010621242162

Failure rate = 1Failures/unit-hr2124 hr>day216 days>trip2

MTBF = 1

.000106 = 9,434 hr

MTBF = 1

FR1N2

=

FR1N2 = 2

20,000 - 1,200 =

2

18,800

-= = = = =

FR1N2 = Number of failures

Operating time

FR1%2 = Number of failures

Number of units tested =

2

20 1100%2 = 10%

If the failure rate recorded in Example 2 is too high, NASA will have to either increase the relia- bility of individual components, and thus of the system, or install several backup air-conditioning units on each space shuttle. Backup units provide redundancy.

Providing Redundancy To increase the reliability of systems, redundancy is added. The technique here is to “back up” components with additional components. This is known as putting units in parallel and is a stan- dard operations management tactic. Redundancy is provided to ensure that if one component fails, the system has recourse to another. For instance, say that reliability of a component is .80 and we back it up with another component with reliability of .80. The resulting reliability is the probability of the first component working plus the probability of the backup (or parallel) com- ponent working multiplied by the probability of needing the backup component ( ). Therefore:

1.82 + 31.82 * 11 - .824 = .8 + .16 = .96

£Probabilityof firstcomponent working

≥ + C£Probabilityof secondcomponent working

≥ * £Probabilityof needing second component

≥S = 1 - .8 = .2

LO3: Determine mean time between failures (MTBF)

Redundancy The use of components in parallel to raise reliability.

524 PART 3 Managing Operations

EXAMPLE 3 � Reliability with a parallel process

The National Bank is disturbed that its loan-application process has a reliability of only .713 (see Example 1) and would like to improve this situation.

APPROACH � The bank decides to provide redundancy for the two least reliable clerks.

SOLUTION � This procedure results in the following system:

INSIGHT � By providing redundancy for two clerks, National Bank has increased reliability of the loan process from .713 to .94.

LEARNING EXERCISE � What happens when the bank replaces both clerks with one new clerk who has a reliability of .90. [Answer: ]

RELATED PROBLEMS � 17.8, 17.9, 17.10, 17.12, 17.13, 17.14, 17.16, 17.18

EXCEL OM Data File Ch17Ex3.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL 17.2 This example is further illustrated in Active Model 17.2 at www.pearsonhighered.com/heizer.

Rs = .88. R2

= .99 * .96 * .99 = .94 = 3.9 + 1.921.124 * 3.8 + 1.821.224 * .99

0.90 : 0.80 : 0.99 = 3.9 + .911 - .9)4 * 3.8 + .811 - .824 * .99

R1 R2 R3 0.90 0.80

T T

Example 3 shows how redundancy can improve the reliability of the loan process presented in Example 1.

MAINTENANCE There are two types of maintenance: preventive maintenance and breakdown maintenance. Preventive maintenance involves performing routine inspections and servicing and keeping facilities in good repair. These activities are intended to build a system that will find potential failures and make changes or repairs that will prevent failure. Preventive maintenance is much more than just keeping machinery and equipment running. It also involves designing technical and human systems that will keep the productive process working within tolerance; it allows the system to perform. The emphasis of preventive maintenance is on understanding the process and keeping it working without interruption. Breakdown maintenance occurs when equipment fails and must be repaired on an emergency or priority basis.

Implementing Preventive Maintenance Preventive maintenance implies that we can determine when a system needs service or will need repair. Therefore, to perform preventive maintenance, we must know when a system requires ser- vice or when it is likely to fail. Failures occur at different rates during the life of a product. A high initial failure rate, known as infant mortality, may exist for many products.1 This is why many electronic firms “burn in” their products prior to shipment: That is to say, they execute a variety of tests (such as a full wash cycle at Whirlpool) to detect “startup” problems prior to ship- ment. Firms may also provide 90-day warranties. We should note that many infant mortality fail- ures are not product failures per se, but rather failure due to improper use. This fact points up the importance in many industries of operations management’s building an after-sales service sys- tem that includes installing and training.

Once the product, machine, or process “settles in,” a study can be made of the MTBF (mean time between failures) distribution. Such distributions often follow a normal curve. When these distributions exhibit small standard deviations, then we know we have a candidate for preventive maintenance, even if the maintenance is expensive.

AUTHOR COMMENT Even the most

reliable systems require maintenance.

LO4: Distinguish between preventive and breakdown maintenance

Preventive maintenance A plan that involves routine inspections, servicing, and keeping facilities in good repair to prevent failure.

Breakdown maintenance Remedial maintenance that occurs when equipment fails and must be repaired on an emergency or priority basis.

Infant mortality The failure rate early in the life of a product or process.

1Infant mortality failures often follow a negative exponential distribution.

Chapter 17 Maintenance and Reliability 525

Once our firm has a candidate for preventive maintenance, we want to determine when pre- ventive maintenance is economical. Typically, the more expensive the maintenance, the nar- rower must be the MTBF distribution (that is, have a small standard deviation). In addition, if the process is no more expensive to repair when it breaks down than the cost of preventive maintenance, perhaps we should let the process break down and then do the repair. However, the consequence of the breakdown must be fully considered. Even some relatively minor breakdowns have catastrophic consequences. (See the OM in Action box “Preventive Maintenance Saves Lives” on the next page). At the other extreme, preventive maintenance costs may be so incidental that preventive maintenance is appropriate even if the MTBF distri- bution is rather flat (that is, it has a large standard deviation). In any event, consistent with job enrichment practices, machine operators must be held responsible for preventive maintenance of their own equipment and tools.

With good reporting techniques, firms can maintain records of individual processes, machines, or equipment. Such records can provide a profile of both the kinds of maintenance required and the timing of maintenance needed. Maintaining equipment history is an important part of a preventive maintenance system, as is a record of the time and cost to make the repair. Such records can also provide information about the family of equipment and suppliers.

Reliability and maintenance are of such importance that most systems are now computerized. Figure 17.3 shows the major components of such a system with files to be maintained on the left and reports generated on the right.

Both Boeing and General Motors are pursuing competitive advantage via their reliability and maintenance information systems. Boeing can now monitor the health of an airplane in flight and relay relevant information in real time to the ground, providing a head start on reliability and maintenance issues. Similarly, General Motors, with its On Star wireless satellite service, alerts car owners to 1,600 possible diagnostic failures, such as faulty airbags sensor or even the need for an oil change. For GM, the service provides immediate data that its engineers can use to jump on quality issues before customers even notice a problem. This has saved the firm an estimated $100 million in warranty costs by catching problems early.

Figure 17.4(a) shows a traditional view of the relationship between preventive maintenance and breakdown maintenance. In this view, operations managers consider a balance between the two costs. Allocating more resources to preventive maintenance will reduce the number of break- downs. At some point, however, the decrease in breakdown maintenance costs may be less than the increase in preventive maintenance costs. At this point, the total cost curve begins to rise. Beyond this optimal point, the firm will be better off waiting for breakdowns to occur and repair- ing them when they do.

Inventory and purchasing reports

Computer

Repair history file Data entry

• Work requests • Purchase requests • Time reporting • Contract work

Data Files Output Reports

Equipment parts list

Equipment history reports

Costs analysis (Actual vs. standard)

Work orders • Preventive maintenance • Scheduled downtime • Emergency maintenance

Maintenance and work order schedule

Equipment file with parts list

Inventory of spare parts

Personnel data with skills, wages, etc.

� FIGURE 17.3 A Computerized Maintenance System

LO5: Describe how to improve maintenance

526 PART 3 Managing Operations

Unfortunately, cost curves such as in Figure 17.4(a) seldom consider the full costs of a break- down. Many costs are ignored because they are not directly related to the immediate breakdown. For instance, the cost of inventory maintained to compensate for downtime is not typically con- sidered. Moreover, downtime can have a devastating effect on safety and morale. Employees may also begin to believe that performance to standard and maintaining equipment are not important. Finally, downtime adversely affects delivery schedules, destroying customer relations and future sales. When the full impact of breakdowns is considered, Figure 17.4(b) may be a bet- ter representation of maintenance costs. In Figure 17.4(b), total costs are at a minimum when the system does not break down.

Assuming that all potential costs associated with downtime have been identified, the operations staff can compute the optimal level of maintenance activity on a theoretical basis. Such analysis, of course, also requires accurate historical data on maintenance costs, breakdown probabilities,

Flight 5481’s trip was short. It lasted 70 seconds. The flight left the Charlotte Airport, bound for Greenville/ Spartanburg, but seconds after lift-off, the nose of the aircraft pitched upward, the plane rolled, and, moments later, slammed into the corner of a maintenance facility at the airport. The Beech 1900D commuter plane carried 21 people to their death. The following are selected comments from the final moments of the flight:

8:47:02—Co-pilot Jonathan Gibbs: “Wuh.” 8:47:03—Capt. Katie Leslie: “Help me. . . . You got it?” 8:47:05—Gibbs: “Oh (expletive). Push down.” 8:47:12—Leslie: “Push the nose down.” 8:47:14—Leslie: “Oh my God.” 8:47:16—Leslie (calling to controllers): “We have an

emergency for Air Midwest fifty-four eighty-one.” 8:47:18—Faint voice from passenger area: “Daddy.” 8:47:26—Leslie: “Oh my God, ahh.” 8:47:26—Gibbs: “Uh, uh, God, ahh (expletive).” 8:47:28 End of recording

The National Transportation Safety Board’s focus in this situation is a preventive maintenance error made two days prior to the crash. The mechanic and a supervisor skipped at least 12 steps required in the maintenance of the tension of the pitch-control cables during the Detail 6 check that include the pitch of the control cable tension. Data show that the control column position changed during the maintenance and the plane lost about two-thirds down- elevator capability. Investigators believe that the aircraft would have been flyable with fully functioning controls had it been given proper preventive maintenance. Maintenance can improve quality, reduce costs, and win orders. It can also be a matter of life and death.

Sources: Aviation Week and Space Technology (May 26, 2003): 52; USA Today (May 21, 2003): 8A; and The Wall Street Journal (May 21, 2003): D3 and (May 20, 2003): D1, D3.

OM in Action � Preventive Maintenance Saves Lives

Total costs

Preventive maintenance costs

Preventive maintenance costs

Breakdown maintenance costs

Maintenance commitment

(a) Traditional View of Maintenance (b) Full Cost View of Maintenance

Optimal point (lowest- cost maintenance policy)

C o st

s

Total costs

Full cost of breakdowns

Maintenance commitment

Optimal point (lowest- cost maintenance policy)

C o st

s

� FIGURE 17.4 Maintenance Costs

AUTHOR COMMENT When all breakdown costs

are considered, much more maintenance may

be advantageous.

Chapter 17 Maintenance and Reliability 527

� EXAMPLE 4 Comparing preventive and breakdown maintenance costs

Farlen & Halikman is a CPA firm specializing in payroll preparation. The firm has been successful in automating much of its work, using high-speed printers for check processing and report preparation. The computerized approach, however, has problems. Over the past 20 months, the printers have broken down at the rate indicated in the following table:

Number of Breakdowns

Number of Months That Breakdowns Occurred

0 2 1 8 2 6 3 4

Total: 20

Each time the printers break down, Farlen & Halikman estimates that it loses an average of $300 in pro- duction time and service expenses. One alternative is to purchase a service contract for preventive maintenance. Even if Farlen & Halikman contracts for preventive maintenance, there will still be breakdowns, averaging one breakdown per month. The price for this service is $150 per month.

APPROACH � To determine if the CPA firm should follow a “run until breakdown” policy or contract for preventive maintenance, we follow a 4-step process:

STEP 1. Compute the expected number of breakdowns (based on past history) if the firm continues as is, without the service contract.

STEP 2. Compute the expected breakdown cost per month with no preventive maintenance contract. STEP 3. Compute the cost of preventive maintenance. STEP 4. Compare the two options and select the one that will cost less.

SOLUTION �

STEP 1.

Number of Number of Breakdowns Frequency Breakdowns Frequency

0 2 1 3 4>20 = 0.28>20 = .4

6>20 = 0.32>20 = .1

STEP 2.

STEP 3.

= $450>month = 11 breakdown>month21$3002 + $150>month

a Preventive

maintenance cost b = £Cost of expectedbreakdowns if service

contract signed

≥ + aCost of service contract

b

= $480>month = 11.621$3002

Expected breakdown cost = a Expected number

of breakdowns b * a

Cost per

breakdown b

= 1.6 breakdowns/month = 0 + .4 + .6 + .6 = 1021.12 + 1121.42 + 1221.32 + 1321.22

a Expected number

of breakdowns b = aBaNumber ofbreakdownsb * aCorrespondingfrequency bR

LO6: Compare preventive and breakdown maintenance costs

and repair times. Example 4 shows how to compare preventive and breakdown maintenance costs to select the least expensive maintenance policy.

528 PART 3 Managing Operations

STEP 4. Because it is less expensive overall to hire a maintenance service firm ($450) than to not do so ($480), Farlen & Halikman should hire the service firm.

INSIGHT � Determining the expected number of breakdowns for each option is crucial to making a good decision. This typically requires good maintenance records.

LEARNING EXERCISE � What is the best decision if the preventive maintenance contract cost increases to $195 per month? [Answer: At per month, “run until breakdown” becomes less expensive (assuming that all costs are included in the $300 per breakdown cost).]

RELATED PROBLEMS � 17.3, 17.4, 17.17

$4951= $300 + $1952

Using variations of the technique shown in Example 4, operations managers can examine main- tenance policies.

Increasing Repair Capabilities Because reliability and preventive maintenance are seldom perfect, most firms opt for some level of repair capability. Enlarging or improving repair facilities can get the system back in operation faster. A good maintenance facility should have these six features:

1. Well-trained personnel 2. Adequate resources 3. Ability to establish a repair plan and priorities2

4. Ability and authority to do material planning 5. Ability to identify the cause of breakdowns 6. Ability to design ways to extend MTBF

However, not all repairs can be done in the firm’s facility. Managers must, therefore, decide where repairs are to be performed. Figure 17.5 provides a continuum of options and how they rate in terms of speed, cost, and competence. Moving to the right in Figure 17.5 may improve the competence of the repair work, but at the same time it increases costs and replacement time.

Autonomous Maintenance Preventive maintenance policies and techniques must include an emphasis on employees accept- ing responsibility for the “observe, check, adjust, clean, and notify” type of equipment mainte- nance. Such policies are consistent with the advantages of employee empowerment. This approach is known as autonomous maintenance. Employees can predict failures, prevent breakdowns, and prolong equipment life. With autonomous maintenance, the manager is making a step toward both employee empowerment and maintaining system performance.

TOTAL PRODUCTIVE MAINTENANCE Many firms have moved to bring total quality management concepts to the practice of preventive maintenance with an approach known as total productive maintenance (TPM). It involves the concept of reducing variability through autonomous maintenance and excellent maintenance practices. Total productive maintenance includes:

• Designing machines that are reliable, easy to operate, and easy to maintain • Emphasizing total cost of ownership when purchasing machines, so that service and mainte-

nance are included in the cost • Developing preventive maintenance plans that utilize the best practices of operators, mainte-

nance departments, and depot service • Training for autonomous maintenance so operators maintain their own machines and partner

with maintenance personnel

2You may recall from our discussion of network planning in Chapter 3 that DuPont developed the critical path method (CPM) to improve the scheduling of maintenance projects.

LO7: Define autonomous maintenance

AUTHOR COMMENT Maintenance improves

productivity.

Total productive maintenance (TPM) Combines total quality management with a strategic view of maintenance from process and equipment design to preventive maintenance.

Autonomous maintenance Operators partner with maintenance personnel to observe, check, adjust, clean, and notify.

Chapter 17 Maintenance and Reliability 529

Operator (autonomous maintenance)

Increasing Operator Ownership Increasing Complexity

Manufacturer’s field service

Depot service (return equipment)

Competence is higher as we move to the right.

Maintenance department

Preventive maintenance costs less and is faster the more we move to the left.

� FIGURE 17.5 The Operations Manager Determines How Maintenance Will Be Performed

High utilization of facilities, tight scheduling, low inventory, and consistent quality demand reliability. Total productive maintenance is the key to reducing variability and improving reliability.

TECHNIQUES FOR ENHANCING MAINTENANCE Three techniques have proven beneficial to effective maintenance: simulation, expert systems, and sensors.

Simulation Because of the complexity of some maintenance decisions, computer simulation is a good tool for evaluating the impact of various policies. For instance, operations personnel can decide whether to add more staff by determining the trade-offs between machine reliability and the costs of additional labor. Management can also simulate the replacement of parts that have not yet failed as a way of preventing future breakdowns. Simulation via physical models can also be useful. For example, a physical model can vibrate an airplane to simulate thousands of hours of flight time to evaluate maintenance needs.

Expert Systems OM managers use expert systems (that is, computer programs that mimic human logic) to assist staff in isolating and repairing various faults in machinery and equipment. For instance, General Electric’s DELTA system asks a series of detailed questions that aid the user in identifying a problem. DuPont uses expert systems to monitor equipment and to train repair personnel.

Automated Sensors Sensors warn when production machinery is about to fail or is becom- ing damaged by heat, vibration, or fluid leaks. The goal of such procedures is not only to avoid failures but also to perform preventive maintenance before machines are damaged.

AUTHOR COMMENT Both OM techniques and the physical sciences can

improve maintenance.

Operations managers focus on design improvements and backup components to improve reliability. Reliability improve- ments also can be obtained through the use of preventive main- tenance and excellent repair facilities.

Firms give employees “ownership” of their equipment. When workers repair or do preventive maintenance on their own machines, breakdowns are less common. Well-trained and empowered employees ensure reliable systems through

preventive maintenance. In turn, reli- able, well-maintained equipment not only provides higher utilization but also improves quality and performance to schedule. Top firms build and maintain systems that drive out variability so that cus- tomers can rely on products and services to be produced to specifications and on time.

CHAPTER SUMMARY

Key Terms

Maintenance (p. 520) Reliability (p. 520) Mean time between failures

(MTBF) (p. 522)

Redundancy (p. 523) Preventive maintenance (p. 524) Breakdown maintenance (p. 524) Infant mortality (p. 524)

Autonomous maintenance (p. 528) Total productive maintenance

(TPM) (p. 528)

530 PART 3 Managing Operations

`Using Software to Solve Reliability Problems

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM 17.1 The semiconductor used in the Sullivan Wrist Calculator has five circuits, each of which has its own reliability rate. Component 1 has a reliability of .90; component 2, .95; component 3, .98; com- ponent 4, .90; and component 5, .99. What is the reliability of one semiconductor?

� SOLUTION

= .7466 = 1.9021.9521.9821.9021.992

Semiconductor reliability, Rs = R1 * R2 * R3 * R4 * R5

R4 R5R2 R3

.95 .98 .90 .99.90

R1

.90 .90

� SOLVED PROBLEM 17.2 A recent engineering change at Sullivan Wrist Calculator places a backup component in each of the two least reliable transistor circuits. The new circuits will look like the following:

� SOLUTION

= .903 = .99 * .95 * .98 * .99 * .99 = 3.9 + .094 * .95 * .98 * 3.9 + .094 * .99

Reliability = 3.9 + 11 - .92 * .94 * .95 * .98 * 3.9 + 11 - .92 * .94 * .99

PX Excel OM and POM for Windows may be used to solve reliability problems. The reliability module allow us to enter (1) number of systems (components) in the series (1 through 10); (2) number of backup, or parallel, components (1 through 12); and (3) component reliability for both series and parallel data.

What is the reliability of the new system?

Bibliography

Bauer, Eric, X. Zhang, and D. A. Kimber. Practical System Reliability. New York: Wiley (2009).

Blank, Ronald. The Basics of Reliability. University Park, IL: Productivity Press (2004).

Cua, K. O., K. E. McKone, and R. G. Schroeder. “Relationships between Implementation of TQM, JIT, and TPM and Manufacturing Performance.” Journal of Operations Management 19, no. 6 (November 2001): 675–694.

Finigen, Tim, and Jim Humphries. “Maintenance Gets Lean.” IE Industrial Systems 38, no. 10 (October 2006): 26–31.

Sova, Roger, and Lea A. P. Tonkin. “Total Productive Maintenance at Crown International.” Target: Innovation at Work 19, no. 1 (1st Quarter 2003): 41–44.

Stephens, M. P. Productivity and Reliability-Based Maintenance Management. Upper Saddle River, NJ: Prentice Hall (2004).

Weil, Marty. “Beyond Preventive Maintenance.” APICS 16, no. 4 (April 2006): 40–43.

�Additional Case Studies: Visit www.myomlab.com or www.pearsonhighered.com/heizer for these free case studies: Cartak’s Department Store: Requires the evaluation of the impact of an additional invoice verifier. Worldwide Chemical Company: The maintenance department in this company is in turmoil.

QUANTITATIVE MODULE

Decision-Making Tools

Module Outline

The Decision Process in Operations 532

Fundamentals of Decision Making 533

Decision Tables 534

Types of Decision-Making Environments 534

Decision Trees 538

PART FOUR Quantitative Modules (A–F)

531

532 PART 4 Quantitative Modules

LO1: Create a simple decision tree 534

LO2: Build a decision table 534

LO3: Explain when to use each of the three types of decision-making environments 534

LO4: Calculate an expected monetary value (EMV) 536

Module A Learning Objectives

THE DECISION PROCESS IN OPERATIONS Operations managers are not gamblers. But they are decision makers. To achieve the goals of their organizations, managers must understand how decisions are made and know which deci- sion-making tools to use. To a great extent, the success or failure of both people and companies depends on the quality of their decisions. Overcoming uncertainty is a manager’s challenge.

What makes the difference between a good decision and a bad decision? A “good” decision— one that uses analytic decision making—is based on logic and considers all available data and possible alternatives. It also follows these six steps:

1. Clearly define the problem and the factors that influence it. 2. Develop specific and measurable objectives.

*To see the details of Phillips’s decision, see Example A9.

Source: Based on Business 2.0 (November 2003): 128–134.

77 7 7

Of all the hands he might have opened with, 80% are likely worse than 5 5 or very high face cards. That means there’s an 80% chance he’ll fold and I’ll collect $99,000.

If I raise him “all in,” he’ll have to either bet all $422,000 of his chips or fold. My guess is, he’ll fold unless he has a 5 5 or better, or very high face cards.

So my overall expected value is $71,570, or nearly 5% of all chips in the game. I’m going for it. *

“ALL IN”

A call would put $853,000 on the table. Hmmm. But if I read him right, there’s only a 20% probability his cards are good enough for him to call, and even then, there’s a 45% chance my 7s win.

T.J. probably has good cards, or he wouldn’t have opened. But he doesn’t know I have a pair of 7s.

WILL T.J. FOLD?

WOULD YOU GO ALL IN? At the Legends of Poker tournament in Los Angeles, veteran T.J. Cloutier opens with a $60,000 bet. (Antes and required bets of $39,000 are already on the table.) Former Go2net CTO Paul Phillips ponders going “all in”—betting virtually all his chips. Using decision theory, here's how he decided.

WHAT IF HE CALLS?

LO5: Compute the expected value of perfect information (EVPI) 537

LO6: Evaluate the nodes in a decision tree 539

LO7: Create a decision tree with sequential decisions 540

Module A Decision-Making Tools 533

AUTHOR COMMENT This section uses a

decision tree to introduce the terminology of decision theory.

3. Develop a model—that is, a relationship between objectives and variables (which are mea- surable quantities).

4. Evaluate each alternative solution based on its merits and drawbacks. 5. Select the best alternative. 6. Implement the decision and set a timetable for completion.

Throughout this book, we have introduced a broad range of mathematical models and tools that help operations managers make better decisions. Effective operations depend on careful decision making. Fortunately, there are a whole variety of analytic tools to help make these decisions. This module introduces two of them—decision tables and decision trees. They are used in a wide number of OM situations, ranging from new-product analysis (Chapter 5), to capacity planning (Supplement 7), to location planning (Chapter 8), to scheduling (Chapter 15), and to mainte- nance planning (Chapter 17).

FUNDAMENTALS OF DECISION MAKING Regardless of the complexity of a decision or the sophistication of the technique used to analyze it, all decision makers are faced with alternatives and “states of nature.” The following notation will be used in this module:

1. Terms: a. Alternative—A course of action or strategy that may be chosen by a decision maker

(e.g., not carrying an umbrella tomorrow). b. State of nature—An occurrence or a situation over which the decision maker has little

or no control (e.g., tomorrow’s weather). 2. Symbols used in a decision tree:

a. □—decision node from which one of several alternatives may be selected. b. �—a state-of-nature node out of which one state of nature will occur.

To present a manager’s decision alternatives, we can develop decision trees using the above sym- bols. When constructing a decision tree, we must be sure that all alternatives and states of nature are in their correct and logical places and that we include all possible alternatives and states of nature.

� EXAMPLE A1 A simple decision tree

Getz Products Company is investigating the possibility of producing and marketing backyard storage sheds. Undertaking this project would require the construction of either a large or a small manufactur- ing plant. The market for the product produced—storage sheds—could be either favorable or unfavor- able. Getz, of course, has the option of not developing the new product line at all.

APPROACH � Getz decides to build a decision tree.

SOLUTION � Figure A.1 illustrates Getz’s decision tree.

Unfavorable market

Favorable market

A decision node A state of nature node

1

2 Unfavorable market

Favorable market Co

nst ruc

t

lar ge

pla nt

Do nothing

Construct small plant

� FIGURE A.1 Getz Products Decision Tree

534 PART 4 Quantitative Modules

DECISION TABLES We may also develop a decision or payoff table to help Getz Products define its alternatives. For any alternative and a particular state of nature, there is a consequence or outcome, which is usually expressed as a monetary value. This is called a conditional value. Note that all of the alternatives in Example A2 are listed down the left side of the table, that states of nature (out- comes) are listed across the top, and that conditional values (payoffs) are in the body of the decision table.

Decision table A tabular means of analyzing decision alternatives and states of nature.

LO2: Build a decision table

EXAMPLE A2 � A decision table

Getz Products now wishes to organize the following information into a table. With a favorable market, a large facility will give Getz Products a net profit of $200,000. If the market is unfavorable, a $180,000 net loss will occur. A small plant will result in a net profit of $100,000 in a favorable market, but a net loss of $20,000 will be encountered if the market is unfavorable.

APPROACH � These numbers become conditional values in the decision table. We list alterna- tives in the left column and states of nature across the top of the table.

SOLUTION � The completed table is shown in Table A.1.

�TABLE A.1 Decision Table with Conditional Values for Getz Products

States of Nature

Alternatives Favorable Market Unfavorable Market

Construct large plant $200,000 Construct small plant $100,000 Do nothing $ 0 $ 0

- $ 20,000 - $180,000

INSIGHT � The toughest part of decision tables is obtaining the data to analyze.

LEARNING EXERCISE � In Examples A3 and A4, we see how to use decision tables to make decisions.

AUTHOR COMMENT Decision tables force logic

into decision making.

TYPES OF DECISION-MAKING ENVIRONMENTS The types of decisions people make depend on how much knowledge or information they have about the situation. There are three decision-making environments:

• Decision making under uncertainty • Decision making under risk • Decision making under certainty

AUTHOR COMMENT Depending on the certainty

of information, there are three approaches in

decision theory.

LO3: Explain when to use each of the three types of decision-making environments

INSIGHT � We never want to overlook the option of “doing nothing” as that is usually a possible decision.

LEARNING EXERCISE � Getz now considers constructing a medium-sized plant as a fourth option. Redraw the tree in Figure A.1 to accommodate this. [Answer: Your tree will have a new node and branches between “Construct large plant” and “Construct small plant.”]

RELATED PROBLEMS � A.2e, A.8b, A.14a, A.15a, A.17a, A.18

LO1: Create a simple decision tree

Module A Decision-Making Tools 535

� EXAMPLE A3 A decision table analysis under uncertainty

Getz Products Company would like to apply each of these three approaches now.

APPROACH � Given Getz’s decision table of Example A2, he determines the maximax, max- imin, and equally likely decision criteria.

SOLUTION � Table A.2 provides the solution.

� TABLE A.2 Decision Table for Decision Making under Uncertainty

States of Nature

Favorable Unfavorable Maximum Minimum Row Alternatives Market Market in Row in Row Average

Construct large plant $200,000 $200,000 $10,000

Construct small plant $100,000 $100,000 $40,000

Do nothing $ 0 $ 0 $ 0 $ 0 $ 0

Maximax Maximin Equally likely

– $ 20,000– $ 20,000

– $180,000– $180,000

1. The maximax choice is to construct a large plant. This is the maximum of the maximum number within each row, or alternative.

2. The maximin choice is to do nothing. This is the maximum of the minimum number within each row, or alternative.

3. The equally likely choice is to construct a small plant. This is the maximum of the average out- come of each alternative. This approach assumes that all outcomes for any alternative are equally likely.

INSIGHT � There are optimistic decision makers (“maximax”) and pessimistic ones (“maximin”). Maximax and maximin present best case–worst case planning scenarios.

LEARNING EXERCISE � Getz reestimates the outcome for constructing a large plant when the market is favorable and raises it to $250,000. What numbers change in Table A.2? Do the decisions change? [Answer: The maximax is now $250,000, and the row average is $35,000 for large plant. No decision changes.]

RELATED PROBLEMS � A.1, A.2b–d, A.4, A.6

Maximax A criterion that finds an alternative that maximizes the maximum outcome.

Maximin A criterion that finds an alternative that maximizes the minimum outcome.

Equally likely A criterion that assigns equal probability to each state of nature.

Decision Making under Uncertainty When there is complete uncertainty as to which state of nature in a decision environment may occur (i.e., when we cannot even assess probabilities for each possible outcome), we rely on three decision methods:

1. Maximax: This method finds an alternative that maximizes the maximum outcome for every alternative. First, we find the maximum outcome within every alternative, and then we pick the alternative with the maximum number. Because this decision criterion locates the alterna- tive with the highest possible gain, it has been called an “optimistic” decision criterion.

2. Maximin: This method finds the alternative that maximizes the minimum outcome for every alternative. First, we find the minimum outcome within every alternative, and then we pick the alternative with the maximum number. Because this decision criterion locates the alter- native that has the least possible loss, it has been called a “pessimistic” decision criterion.

3. Equally likely: This method finds the alternative with the highest average outcome. First, we calculate the average outcome for every alternative, which is the sum of all outcomes divided by the number of outcomes. We then pick the alternative with the maximum number. The equally likely approach assumes that each state of nature is equally likely to occur.

536 PART 4 Quantitative Modules

Decision Making under Risk Decision making under risk, a more common occurrence, relies on probabilities. Several possi- ble states of nature may occur, each with an assumed probability. The states of nature must be mutually exclusive and collectively exhaustive and their probabilities must sum to 1.1 Given a decision table with conditional values and probability assessments for all states of nature, we can determine the expected monetary value (EMV) for each alternative. This figure represents the expected value or mean return for each alternative if we could repeat this decision (or similar types of decisions) a large number of times.

The EMV for an alternative is the sum of all possible payoffs from the alternative, each weighted by the probability of that payoff occurring:

Example A4 illustrates how to compute the maximum EMV.

* 1Probability of last state of nature2 + Á + 1Payoff of last state of nature2

* 1Probability of 2nd state of nature2 + 1Payoff of 2nd state of nature2

* 1Probability of 1st state of nature2 EMV1Alternative i2 = 1Payoff of 1st state of nature2

Expected monetary value (EMV) The expected payout or value of a variable that has different possible states of nature, each with an associated probability.

LO4: Calculate an expected monetary value (EMV)

1To review these other statistical terms, refer to Tutorial 1, “Statistical Review for Managers” at www.pearsonhighered. com/heizer.

EXAMPLE A4 � Expected monetary value

Getz would like to find the EMV for each alternative.

APPROACH � Getz Products’ operations manager believes that the probability of a favorable market is exactly the same as that of an unfavorable market; that is, each state of nature has a .50 chance of occurring. He can now determine the EMV for each alternative (see Table A.3):

� TABLE A.3 Decision Table for Getz Products

States of Nature

Alternatives Favorable Market Unfavorable Market

Construct large plant ( ) $200,000 Construct small plant ( ) $100,000 Do nothing ( ) $ 0 $ 0

Probabilities .50 .50

A3

– $ 20,000A2

– $180,000A1

SOLUTION � 1. EMV 2. EMV 3. EMV

INSIGHT � The maximum EMV is seen in alternative . Thus, according to the EMV decision criterion, Getz would build the small facility.

LEARNING EXERCISE � What happens to the three EMVs if Getz increases the conditional value on the “large plant/favorable market” result to $250,000? [Answer: EMV . No change in decision.]

RELATED PROBLEMS � A.2e, A.3a, A.5a, A.7a, A.8, A.9a, A.10, A.11, A.12, A.14a,b, A.16a, A.22

EXCEL OM Data File ModAExA4.xls can be found at www.pearsonhighered.com/heizer.

(A1) = $35,000

A2

1A32 = 1.521$02 + 1.521$02 = $0 1A22 = 1.521$100,0002 + 1.521– $20,0002 = $40,000 1A12 = 1.521$200,0002 + 1.521– $180,0002 = $10,000

Module A Decision-Making Tools 537

Decision Making under Certainty Now suppose that the Getz operations manager has been approached by a marketing research firm that proposes to help him make the decision about whether to build the plant to produce storage sheds. The marketing researchers claim that their technical analysis will tell Getz with certainty whether the market is favorable for the proposed product. In other words, it will change Getz’s environment from one of decision making under risk to one of decision making under certainty. This information could prevent Getz from making a very expensive mistake. The mar- keting research firm would charge Getz $65,000 for the information. What would you recom- mend? Should the operations manager hire the firm to make the study? Even if the information from the study is perfectly accurate, is it worth $65,000? What might it be worth? Although some of these questions are difficult to answer, determining the value of such perfect information can be very useful. It places an upper bound on what you would be willing to spend on information, such as that being sold by a marketing consultant. This is the concept of the expected value of perfect information (EVPI), which we now introduce.

Expected Value of Perfect Information (EVPI) If a manager were able to determine which state of nature would occur, then he or she would know which decision to make. Once a manager knows which decision to make, the payoff increases because the payoff is now a certainty, not a probability. Because the payoff will increase with knowledge of which state of nature will occur, this knowledge has value. Therefore, we now look at how to determine the value of this information. We call this difference between the payoff under perfect information and the payoff under risk the expected value of perfect information (EVPI).

To find the EVPI, we must first compute the expected value with perfect information (EVwPI), which is the expected (average) return if we have perfect information before a deci- sion has to be made. To calculate this value, we choose the best alternative for each state of nature and multiply its payoff times the probability of occurrence of that state of nature:

In Example A5 we use the data and decision table from Example A4 to examine the expected value of perfect information.

* 1Probability of last state of nature2 + Á + 1Best outcome for last state of nature2

* 1Probability of 2nd state of nature2 + 1Best outcome for 2nd state of nature2

* 1Probability of 1st state of nature2 perfect information 1EVwPI2 = 1Best outcome or consequence for 1st state of nature2

Expected value with

EVPI = Expected value with perfect information - Maximum EMV

AUTHOR COMMENT EVPI places an upper limit on what you should pay

for information.

Expected value of per- fect information (EVPI) The difference between the payoff under perfect information and the payoff under risk.

Expected value with perfect information (EVwPI) The expected (average) return if perfect information is available.

LO5: Compute the expected value of perfect information (EVPI)

� EXAMPLE A5 Expected value of perfect information

The Getz operations manager would like to calculate the maximum that he would pay for information— that is, the expected value of perfect information, or EVPI.

APPROACH � Referring to Table A.3 in Example 4, the follows a two-stage process. First, the expected value with perfect information (EVwPI) is computed. Then, using this information, the EVPI is calculated.

SOLUTION �

1. The best outcome for the state of nature “favorable market” is “build a large facility” with a payoff of $200,000. The best outcome for the state of nature “unfavorable market” is “do nothing” with a payoff of $0. Expected value with perfect information

. Thus, if we had perfect information, we would expect (on the average) $100,000 if the decision could be repeated many times. 1$200,000210.502 + 1$0210.502 = $100,000

=

538 PART 4 Quantitative Modules

DECISION TREES Decisions that lend themselves to display in a decision table also lend themselves to display in a decision tree. We will therefore analyze some decisions using decision trees. Although the use of a decision table is convenient in problems having one set of decisions and one set of states of nature, many problems include sequential decisions and states of nature.

When there are two or more sequential decisions, and later decisions are based on the out- come of prior ones, the decision tree approach becomes appropriate. A decision tree is a graphic display of the decision process that indicates decision alternatives, states of nature and their respective probabilities, and payoffs for each combination of decision alternative and state of nature.

Expected monetary value (EMV) is the most commonly used criterion for decision tree analy- sis. One of the first steps in such analysis is to graph the decision tree and to specify the mone- tary consequences of all outcomes for a particular problem.

Analyzing problems with decision trees involves five steps:

1. Define the problem. 2. Structure or draw the decision tree. 3. Assign probabilities to the states of nature. 4. Estimate payoffs for each possible combination of decision alternatives and states of nature. 5. Solve the problem by computing the expected monetary values (EMV) for each state-of-

nature node. This is done by working backward—that is, by starting at the right of the tree and working back to decision nodes on the left.

AUTHOR COMMENT Decision trees can become complex, so we illustrate

three of them in this section.

Decision tree A graphical means of analyzing decision alternatives and states of nature.

When Tomco Oil had to decide which of its new Kentucky lease areas to drill for oil, it turned to decision tree analysis. The 74 different factors, including geological, engineering, economic, and political factors, became much clearer. Decision tree software such as DPL (shown here), Tree Plan, and Supertree allow decision problems to be analyzed with less effort and greater depth than ever before.

2. The maximum EMV is $40,000 for , which is the expected outcome without perfect informa- tion. Thus:

INSIGHT � The most Getz should be willing to pay for perfect information is $60,000. This con- clusion, of course, is again based on the assumption that the probability of each state of nature is 0.50.

LEARNING EXERCISE � How does the EVPI change if the “large plant/favorable market” conditional value is $250,000? [Answer: EVPI ]

RELATED PROBLEMS � A.3b, A.5b, A.7, A.9, A.14, A.16

= $85,000.

= $100,000 - $40,000 = $60,000 EVPI = EVwPI - Maximum EMV

A2

Module A Decision-Making Tools 539

� EXAMPLE A6 Solving a tree for EMV

Getz wants to develop a completed and solved decision tree.

APPROACH � The payoffs are placed at the right-hand side of each of the tree’s branches (see Figure A.2). The probabilities (first used by Getz in Example A4) are placed in parentheses next to each state of nature. The expected monetary values for each state-of-nature node are then calculated and placed by their respective nodes. The EMV of the first node is $10,000. This represents the branch from the decision node to “construct a large plant.” The EMV for node 2, to “construct a small plant,” is $40,000. The option of “doing nothing” has, of course, a payoff of $0.

SOLUTION � The branch leaving the decision node leading to the state-of-nature node with the highest EMV will be chosen. In Getz’s case, a small plant should be built.

Unfavorable market (.5)

Favorable market (.5)

1

2 Unfavorable market (.5)

Favorable market (.5) Co

nst ruc

t la rge

pla nt

Do nothing

Construct small plant

EMV for node 1 = $10,000

EMV for node 2 = $40,000

= (.5) ($200,000) + (.5) (–$180,000)

= (.5) ($100,000) + (.5) (–$20,000)

Payoffs

$200,000

–$180,000

$100,000

20,000–$

$0

� FIGURE A.2 Completed and Solved Decision Tree for Getz Products

INSIGHT � This graphical approach is an excellent way for managers to understand all the options in making a major decision. Visual models are often preferred over tables.

LEARNING EXERCISE � Correct Figure A.2 to reflect a $250,000 payoff for “construct large plant/favorable market.” [Answer: Change one payoff and recompute the EMV for node 1.]

RELATED PROBLEMS � A.2e, A.8b, A.14a,b, A.17, A.18

EXCEL OM Data File ModAExA6.xls can be found at www.pearsonhighered.com/heizer.

LO6: Evaluate the nodes in a decision tree

A More Complex Decision Tree When a sequence of decisions must be made, decision trees are much more powerful tools than are decision tables. Let’s say that Getz Products has two decisions to make, with the second deci- sion dependent on the outcome of the first. Before deciding about building a new plant, Getz has the option of conducting its own marketing research survey, at a cost of $10,000. The informa- tion from this survey could help it decide whether to build a large plant, to build a small plant, or not to build at all. Getz recognizes that although such a survey will not provide it with perfect information, it may be extremely helpful.

Getz’s new decision tree is represented in Figure A.3 of Example A7. Take a careful look at this more complex tree. Note that all possible outcomes and alternatives are included in their logical sequence. This procedure is one of the strengths of using decision trees. The manager is forced to examine all possible outcomes, including unfavorable ones. He or she is also forced to make decisions in a logical, sequential manner.

540 PART 4 Quantitative Modules

EXAMPLE A7 � A decision tree with sequential decisions

Getz Products wishes to develop the new tree for this sequential decision.

APPROACH � Examining the tree in Figure A.3, we see that Getz’s first decision point is whether to conduct the $10,000 market survey. If it chooses not to do the study (the lower part of the tree), it can either build a large plant, a small plant, or no plant. This is Getz’s second decision point. If the decision is to build, the market will be either favorable (.50 probability) or unfavorable (also .50 probability). The payoffs for each of the possible consequences are listed along the right-hand side. As a matter of fact, this lower portion of Getz’s tree is identical to the simpler decision tree shown in Figure A.2.

S ur

ve y

re su

lts fa

vo ra

bl e

First Decision Point

Second Decision Point

1

2

3 Unfavorable market

Favorable marketLa rge

pl an

t

No plant

Small plant

Unfavorable market

Favorable market $190,000

–$190,000

$ 90,000

–$ 30,000

–$ 10,000

Payoffs

4

5 Unfavorable market

Favorable market La

rge pl

an t

Small plant

Unfavorable market

Favorable market $190,000

–$190,000

$ 90,000

–$ 30,000

–$ 10,000

6

7 Unfavorable market

Favorable market Small plant

Unfavorable market

Favorable market $200,000

–$180,000

$100,000

20,000–$

$0

S urvey

results

negative

C o n d u ct

m a rk

e t su

rv e y

D o not conduct survey

$ 1

0 6

,4 0

0

$ 4

9 ,2

0 0

$ 2

,4 0

0 $

4 0

,0 0

0

$49,200

No plant

No plant

La rge

pl an

t

$106,400

$63,600

–$87,400

$2,400

$10,000

$40,000

(.22)

(.78)

(.22)

(.78)

(.73)

(.27)

(.73)

(.27)

(.5)

(.5)

(.5)

(.5)

(. 45

)

(.55)

� FIGURE A.3 Getz Products Decision Tree with Probabilities and EMVs Shown

LO7: Create a decision tree with sequential decisions

AUTHOR COMMENT The short parallel lines

mean “prune” that branch, as it is less favorable than

another available option and may be dropped.

SOLUTION � The upper part of Figure A.3 reflects the decision to conduct the market survey. State-of-nature node number 1 has 2 branches coming out of it. Let us say there is a 45% chance that the survey results will indicate a favorable market for the storage sheds. We also note that the probabil- ity is .55 that the survey results will be negative.

The rest of the probabilities shown in parentheses in Figure A.3 are all conditional probabilities. For example, .78 is the probability of a favorable market for the sheds given a favorable result from the market survey. Of course, you would expect to find a high probability of a favorable market given that the research indicated that the market was good. Don’t forget, though: There is a chance that Getz’s $10,000 market survey did not result in perfect or even reliable information. Any market research study is subject to error. In this case, there remains a 22% chance that the market for sheds will be unfavor- able given positive survey results.

Likewise, we note that there is a 27% chance that the market for sheds will be favorable given neg- ative survey results. The probability is much higher, .73, that the market will actually be unfavorable given a negative survey.

Module A Decision-Making Tools 541

Finally, when we look to the payoff column in Figure A.3, we see that $10,000—the cost of the marketing study—has been subtracted from each of the top 10 tree branches. Thus, a large plant con- structed in a favorable market would normally net a $200,000 profit. Yet because the market study was conducted, this figure is reduced by $10,000. In the unfavorable case, the loss of $180,000 would increase to $190,000. Similarly, conducting the survey and building no plant now results in a payoff.

With all probabilities and payoffs specified, we can start calculating the expected monetary value of each branch. We begin at the end or right-hand side of the decision tree and work back toward the ori- gin. When we finish, the best decision will be known.

1. Given favorable survey results:

The EMV of no plant in this case is . Thus, if the survey results are favorable, a large plant should be built.

2. Given negative survey results:

The EMV of no plant is again for this branch. Thus, given a negative survey result, Getz should build a small plant with an expected value of $2,400.

3. Continuing on the upper part of the tree and moving backward, we compute the expected value of conducting the market survey:

4. If the market survey is not conducted:

The EMV of no plant is $0. Thus, building a small plant is the best choice, given the marketing research is not performed.

5. Because the expected monetary value of conducting the survey is $49,200—vs. an EMV of $40,000 for not conducting the study—the best choice is to seek marketing information. If the survey results are favorable, Getz Products should build the large plant; if they are unfavorable, it should build the small plant.

INSIGHT � You can reduce complexity in a large decision tree by viewing and solving a number of smaller trees—start at the end branches of a large one. Take one decision at a time.

LEARNING EXERCISE � Getz estimates that if he conducts a market survey, there is really only a 35% chance the results will indicate a favorable market for the sheds. How does the tree change? [Answer: The EMV of conducting the survey , so Getz should not do it now.]

RELATED PROBLEMS � A.13, A.18, A.19, A.20, A.21, A.23

= $38,800

EMV 1node 72 = 1.5021$100,0002 + 1.5021– $20,0002 = $40,000 EMV 1node 62 = 1.5021$200,0002 + 1.5021– $180,0002 = $10,000

EMV 1node 12 = 1.4521$106,4002 + 1.5521$2,4002 = $49,200

– $10,000

EMV 1node 52 = 1.2721$90,0002 + 1.7321– $30,0002 = $2,400 EMV 1node 42 = 1.2721$190,0002 + 1.7321– $190,0002 = – $87,400

– $10,000

EMV 1node 32 = 1.7821$90,0002 + 1.2221– $30,0002 = $63,600 EMV 1node 22 = 1.7821$190,0002 + 1.2221– $190,0002 = $106,400

– $10,000

Using Decision Trees in Ethical Decision Making Decision trees can also be a useful tool to aid ethical corporate decision making. The decision tree illustrated in Example A8, developed by Harvard Professor Constance Bagley, provides guidance as to how managers can both maximize shareholder value and behave ethically. The tree can be applied to any action a company contemplates, whether it is expanding operations in a developing country or reducing a workforce at home.

542 PART 4 Quantitative Modules

EXAMPLE A8 � Ethical decision making

Smithson Corp. is opening a plant in Malaysia, a country with much less stringent environmental laws than the U.S., its home nation. Smithson can save $18 million in building the manufacturing facility— and boost its profits—if it does not install pollution-control equipment that is mandated in the U.S. but not in Malaysia. But Smithson also calculates that pollutants emitted from the plant, if unscrubbed, could damage the local fishing industry. This could cause a loss of millions of dollars in income as well as create health problems for local inhabitants.

APPROACH � Smithson decides to build a decision tree to model the problem.

SOLUTION � Figure A.4 outlines the choices management can consider. For example, if in man- agement’s best judgment the harm to the Malaysian community by building the plant will be greater than the loss in company returns, the response to the question “Is it ethical?” will be no.

Now, say Smithson proposes building a somewhat different plant, one with pollution controls, despite a negative impact on company returns. That decision takes us to the branch “Is it ethical not to take action?” If the answer (for whatever reason) is no, the decision tree suggests proceeding with the plant but notifying the Smithson Board, shareholders, and others about its impact.

Ye s

Ye s

Y es

No

No

N o

Action outcome

Do it

Don't do it

Don't do it

Is action legal?

Does action maximize company returns?

Ye s

No

Don't do it

Do it but notify appropriate parties

Is it ethical? (Weigh the effect on employees,

customers, suppliers, community versus

shareholder benefit.)

Is it ethical not to take action? (Weigh the

harm to shareholders versus benefits to

other stakeholders.)

� FIGURE A.4 Smithson’s Decision Tree for Ethical Dilemma

Source: Modified from Constance E. Bagley, “The Ethical Leader’s Decision Tree,” Harvard Business Review (January–February 2003): 18–19.

INSIGHT � This tree allows managers to view the options graphically. This is a good way to start the process.

Ethical decisions can be quite complex: What happens, for example, if a company builds a polluting plant overseas, but this allows the company to sell a life-saving drug at a lower cost around the world? Does a decision tree deal with all possible ethical dilemmas? No—but it does provide managers with a framework for examining those choices.

The Poker Decision Process We opened Module A with ex-dot-commer Paul Phillips’s decision to go “all in” at the Legends of Poker tournament in Los Angeles. Example A9 shows how he computed the expected value. Homework Problem A.24 gives you a chance to create a decision tree for this process.

EXAMPLE A9 � Phillips’s Poker Decision

As on the first page in this module, Paul Phillips is deciding whether to bet all his chips against poker star T.J. Cloutier. Phillips holds a pair of 7s. Phillips reasons that T.J. will fold (with 80% probability) if he does not have a pair of 5s or better, or very high cards like a Jack, Queen, King, or Ace. But he also figures that a call would put $853,000 into the pot and surmises that even then, there is 45% chance his pair of 7s will win.

APPROACH � Phillips does an expected monetary analysis.

Module A Decision-Making Tools 543

This module examines two of the most widely used decision techniques—decision tables and decision trees. These tech- niques are especially useful for making decisions under risk. Many decisions in research and development, plant and equipment, and even new buildings and structures can be analyzed with these decision models. Problems in inventory

control, aggregate planning, mainte- nance, scheduling, and production con- trol also lend themselves to decision table and decision tree applications.

MODULE SUMMARY

Key Terms

Decision table (p. 534) Maximax (p. 535) Maximin (p. 535) Equally likely (p. 535)

Expected monetary value (EMV) (p. 536) Expected value of perfect information

(EVPI) (p. 537)

Expected value with perfect information (EVwPI) (p. 537)

Decision tree (p. 538)

SOLUTION � If T.J. folds,

If T.J. calls,

INSIGHT � The overall EMV of $71,570 indicates that if this decision were to be made many times, the average payoff would be large. So Phillips decides to bet almost all of his chips. As it turns out, T.J. was holding a pair of Jacks. Even though Phillips’s decision in this instance did not work out, his analysis and procedure was the correct one.

LEARNING EXERCISE � What would happen if the amount of money already in the pot were only $39,000? [Answer: The overall EMV = $23,570.]

RELATED PROBLEM � A.24

Overall EMV = $79,200 - $7,630 = $71,570

= .20 3– $38,1504 = – $7,630 = .20 3$383,850 - $422,0004

EMV = .20 31.4521$853,0002 - Phillips’s bet of $422,0004

= $79,200 EMV = 1.8021$99,0002

the chance T.J. will call

The amount of money already in the pot

Using Software for Decision Models Analyzing decision tables is straightforward with Excel, Excel OM, and POM for Windows. When decision trees are involved, Excel OM or commercial packages such as DPL, Tree Plan, and Supertree provide flexi- bility, power, and ease. POM for Windows will also analyze trees but does not have graphic capabilities.

X Using Excel OM Excel OM allows decision makers to evaluate decisions quickly and to perform sensitivity analysis on the results. Program A.1 uses the Getz data to illustrate input, output, and selected formulas needed to compute the EMV and EVPI values.

544 PART 4 Quantitative Modules

= MAX(B8:C8)

Compute the EMV for each alternative using = SUMPRODUCT(B$7:C$7, B8:C8).

= MIN(B8:C8)

Find the best outcome for each measure using = MAX(G8:G10).

= SUMPRODUCT(B$7:C$7, B14:C14) = E14 – E11

To calculate the EVPI, find the best outcome for each scenario. = MAX(B8:B10)

Program A.2 uses Excel OM to create the decision tree for Getz Products shown earlier in Example A6. The tool to create the tree is seen in the window on the right.

Use this Decision Tree Creation window to create the tree.

Expected profit for the small plant = F15*F13 + F19*F17

Maximum Profit = MAX(D7 + C9, D15 + C1)

Use the branch that leads to node 3 in order to achieve the maximum profit.

P Using POM for Windows POM for Windows can be used to calculate all of the information described in the decision tables and decision trees in this module. For details on how to use this software, please refer to Appendix IV.

� PROGRAM A.1 Using Excel OM to Compute EMV and Other Measures for Getz

� PROGRAM A.2 Getz Products’ Decision Tree Using Excel OM

Module A Decision-Making Tools 545

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM A.1 Stella Yan Hua is considering the possibility of opening a small dress shop on Fairbanks Avenue, a few blocks from the university. She has located a good mall that attracts students. Her options are to open a small shop, a medium-sized shop, or no shop at all. The market for a dress shop can be good, average, or bad. The proba- bilities for these three possibilities are .2 for a good market, .5 for an average market, and .3 for a bad market. The net profit or loss for the medium-sized or small shops for the various market condi- tions are given in the following table. Building no shop at all yields no loss and no gain. What do you recommend?

� SOLUTION The problem can be solved by computing the expected monetary value (EMV) for each alternative:

As you can see, the best decision is to build the medium-sized shop. The EMV for this alternative is $19,500.

EMV 1No shop2 = 1.221$02 + 1.521$02 + 1.321$02 = $0 EMV 1Medium-sized shop2 = 1.221$100,0002 + 1.521$35,0002 + 1.321- $60,0002 = $19,500

EMV 1Small shop2 = 1.221$75,0002 + 1.521$25,0002 + 1.321- $40,0002 = $15,500

� SOLVED PROBLEM A.2 T.S. Amer’s Ski Shop in Nevada has a 100-day season. T.S. has established the probability of various store traffic, based on histor- ical records of skiing conditions, as indicated in the table to the right. T.S. has four merchandising plans, each focusing on a popu- lar name brand. Each plan yields a daily net profit as noted in the table. He also has a meteorologist friend, who for a small fee, will accurately tell tomorrow’s weather so T.S. can implement one of his four merchandising plans. a) What is the expected monetary value (EMV) under risk? b) What is the expected value with perfect information (EVwPI)? c) What is the expected value of perfect information (EVPI)?

� SOLUTION a) The highest expected monetary value under risk is:

So the maximum EMV = $55

b) The expected value with perfect information is:

c) The expected value of perfect information is:

EVPI = EVwPI - Maximum EMV = 61 - 55 = $6

= 10 + 23 + 12 + 16 = $61 EVwPI = .201502 + .251922 + .301402 + .251642

EMV 1Columbia2 = .201452 + .251722 + .301102 + .251602 = $45 EMV 1Cloud Veil2 = .201352 + .251802 + .301402 + .251642 = $55 EMV 1North Face2 = .201502 + .251842 + .301102 + .251522 = $47

EMV 1Patagonia2 = .201402 + .251922 + .301202 + .251482 = $49

States of Nature

Good Average Bad Market Market Market

Alternatives ($) ($) ($)

Small shop 75,000 25,000 –40,000 Medium-sized

shop 100,000 35,000 –60,000 No shop 0 0 0

Probabilities .20 .50 .30

Traffic in Store Because

Decision Alternatives of Ski Conditions

(merchandising plan (states of nature)

focusing on:) 1 2 3 4

Patagonia $40 92 20 48 North Face 50 84 10 52 Cloud Veil 35 80 40 64 Columbia 45 72 10 60

Probabilities .20 .25 .30 .25

546 PART 4 Quantitative Modules

� FIGURE A.5 Demand at Ravinder Nath’s Supermarket

� SOLVED PROBLEM A.3 Daily demand for cases of Tidy Bowl cleaner at Ravinder Nath’s Supermarket has always been 5, 6, or 7 cases. Develop a decision tree that illustrates her decision alternatives as to whether to stock 5, 6, or 7 cases.

� SOLUTION The decision tree is shown in Figure A.5

Demand is 5 cases

Demand is 6 cases

Demand is 7 cases

Demand is 5 cases

Demand is 6 casesStock 6 cases

Demand is 7 cases

Demand is 5 cases

Demand is 6 cases

Demand is 7 cases

St oc

k 5 ca

se s

Stock 7 cases

�Additional Case Studies: Visit www.myomlab.com or www.pearsonhighered.com/heizer for these additional free case studies: Arctic, Inc.: A refrigeration company has several major options with regard to capacity and expansion. Ski Right Corp.: Which of four manufacturers should be selected to manufacture ski helmets?

Bibliography

Balakrishnan, R., B. Render, and R. M. Stair Jr. Managerial Decision Modeling with Spreadsheets, 2nd ed. Upper Saddle River, NJ: Prentice Hall (2007).

Buchannan, Leigh, and Andrew O’Connell. “A Brief History of Decision Making.” Harvard Business Review 84, no. 1 (January 2006): 32–41.

Hammond, J. S., R. L. Kenney, and H. Raiffa. “The Hidden Traps in Decision Making.” Harvard Business Review 84, no. 1 (January 2006): 118–126.

Keefer, Donald L. “Balancing Drug Safety and Efficacy for a Go/No-Go Decision.” Interfaces 34, no. 2 (March–April 2004): 113–116.

Miller, C. C., and R. D. Ireland. “Intuition in Strategic Decision Making.” Academy of Management Executive 19, no. 1 (February 2005): 19.

Parmigiani, G., and L. Inoue. Decision Theory: Principles and Approaches. New York: Wiley (2010).

Raiffa, H., and R. Schlaifer. Applied Statistical Decision Theory. New York: Wiley (2000).

Render, B., R. M. Stair Jr., and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall (2009).

Module Outline

Why Use Linear Programming? 548

Requirements of a Linear Programming Problem 549

Formulating Linear Programming Problems 549

Graphical Solution to a Linear Programming Problem 550

Sensitivity Analysis 555

Solving Minimization Problems 557

Linear Programming Applications 559

The Simplex Method of LP 562

QUANTITATIVE MODULE

Linear Programming

547

548 PART 4 Quantitative Modules

The storm front closed in quickly on Chicago’s O’Hare Airport, shutting it down without warning. The heavy thunderstorms, lightning, and poor visibility sent American Airlines passengers and ground crew scurrying. Because American Airlines uses linear programming (LP) to schedule flights, hotels, crews, and refueling, LP has a direct impact on profitability. If American gets a major weather disruption at one of its hubs, a lot of flights may get canceled, which means a lot of crews and airplanes in the wrong places. LP is the tool that helps airlines such as American unsnarl and cope with this weather mess.

LO1: Formulate linear programming models, including an objective function and constraints 550

LO2: Graphically solve an LP problem with the iso-profit line method 552

LO3: Graphically solve an LP problem with the corner-point method 554

Module B Learning Objectives LO4: Interpret sensitivity analysis and

shadow prices 555

LO5: Construct and solve a minimization problem 558

LO6: Formulate production-mix, diet, and labor scheduling problems 559

WHY USE LINEAR PROGRAMMING? Many operations management decisions involve trying to make the most effective use of an orga- nization’s resources. Resources typically include machinery (such as planes, in the case of an air- line), labor (such as pilots), money, time, and raw materials (such as jet fuel). These resources may be used to produce products (such as machines, furniture, food, or clothing) or services (such as airline schedules, advertising policies, or investment decisions). Linear programming (LP) is a widely used mathematical technique designed to help operations managers plan and make the decisions necessary to allocate resources.

A few examples of problems in which LP has been successfully applied in operations man- agement are:

1. Scheduling school buses to minimize the total distance traveled when carrying students 2. Allocating police patrol units to high crime areas to minimize response time to 911 calls 3. Scheduling tellers at banks so that needs are met during each hour of the day while

minimizing the total cost of labor 4. Selecting the product mix in a factory to make best use of machine- and labor-hours avail-

able while maximizing the firm’s profit 5. Picking blends of raw materials in feed mills to produce finished feed combinations at

minimum cost 6. Determining the distribution system that will minimize total shipping cost from several

warehouses to various market locations 7. Developing a production schedule that will satisfy future demands for a firm’s product and

at the same time minimize total production and inventory costs 8. Allocating space for a tenant mix in a new shopping mall so as to maximize revenues to the

leasing company (see the OM in Action box “Using LP to Select Tenants in a Shopping Mall”)

Linear programming (LP) A mathematical technique designed to help operations managers plan and make decisions relative to the trade- offs necessary to allocate resources.

Module B Linear Programming 549

Homart Development Company is one of the largest shopping-center developers in the U.S. When starting a new center, Homart produces a tentative floor plan, or “footprint,” for the mall. This plan outlines sizes, shapes, and spaces for large department stores. Leasing agreements are reached with the two or three major department stores that will become anchor stores in the mall. The anchor stores are able to negotiate highly favorable occupancy agreements. Homart’s profits come primarily from the rent paid by the nonanchor tenants—the smaller stores that lease space along the aisles of the mall. The decision as to allocating space to potential tenants is, therefore, crucial to the success of the investment.

The tenant mix describes the desired stores in the mall by their size, general location, and type of merchandise or service provided. For example, the mix might specify two small jewelry stores in a central section of the mall and a medium-size shoe store and a large restaurant in one of

the side aisles. In the past, Homart developed a plan for tenant mix using “rules of thumb” developed over years of experience in mall development.

Now, to improve its bottom line in an increasingly competitive marketplace, Homart treats the tenant-mix problem as an LP model. First, the model assumes that tenants can be classified into categories according to the type of merchandise or service they provide. Second, the model assumes that for each store type, store sizes can be estimated by distinct category. For example, a small jewelry store is said to contain about 700 square feet and a large one about 2,200 square feet. The tenant-mix model is a powerful tool for enhancing Homart’s mall planning and leasing activities.

Sources: Journal of Retail and Leisure Property (October 2006): 270–278; Real Estate Review (Spring 1995): 52–56; and Interfaces (March–April 1988): 1–9.

OM in Action � Using LP to Select Tenants in a Shopping Mall

REQUIREMENTS OF A LINEAR PROGRAMMING PROBLEM All LP problems have four requirements: an objective, constraints, alternatives, and linearity:

1. LP problems seek to maximize or minimize some quantity (usually profit or cost). We refer to this property as the objective function of an LP problem. The major objective of a typi- cal firm is to maximize dollar profits in the long run. In the case of a trucking or airline dis- tribution system, the objective might be to minimize shipping costs.

2. The presence of restrictions, or constraints, limits the degree to which we can pursue our objective. For example, deciding how many units of each product in a firm’s product line to manufacture is restricted by available labor and machinery. We want, therefore, to maximize or minimize a quantity (the objective function) subject to limited resources (the constraints).

3. There must be alternative courses of action to choose from. For example, if a company pro- duces three different products, management may use LP to decide how to allocate among them its limited production resources (of labor, machinery, and so on). If there were no alter- natives to select from, we would not need LP.

4. The objective and constraints in linear programming problems must be expressed in terms of linear equations or inequalities.

FORMULATING LINEAR PROGRAMMING PROBLEMS One of the most common linear programming applications is the product-mix problem. Two or more products are usually produced using limited resources. The company would like to deter- mine how many units of each product it should produce to maximize overall profit given its lim- ited resources. Let’s look at an example.

Shader Electronics Example The Shader Electronics Company produces two products: (1) the Shader x-pod, a portable music player, and (2) the Shader BlueBerry, an internet-connected color telephone. The production process for each product is similar in that both require a certain number of hours of electronic work and a certain number of labor-hours in the assembly department. Each x-pod takes 4 hours of electronic work and 2 hours in the assembly shop. Each BlueBerry requires 3 hours in elec- tronics and 1 hour in assembly. During the current production period, 240 hours of electronic time are available, and 100 hours of assembly department time are available. Each x-pod sold yields a profit of $7; each BlueBerry produced may be sold for a $5 profit.

AUTHOR COMMENT Here we set up an LP

example that we will follow for most of this module.

Objective function A mathematical expression in linear programming that maximizes or minimizes some quantity (often profit or cost, but any goal may be used).

Constraints Restrictions that limit the degree to which a manager can pursue an objective.

ACTIVE MODEL B.1 This example is further illustrated in Active Model B.1 at www.pearson highered.com/heizer.

550 PART 4 Quantitative Modules

Now we can create the LP objective function in terms of and

Our next step is to develop mathematical relationships to describe the two constraints in this problem. One general relationship is that the amount of a resource used is to be less than or equal to ( ) the amount of resource available.

First constraint: Electronic time used is Electronic time available.

Second constraint: Assembly time used is Assembly time available.

Both these constraints represent production capacity restrictions and, of course, affect the total profit. For example, Shader Electronics cannot produce 70 x-pods during the production period because if both constraints will be violated. It also cannot make x-pods and BlueBerrys. This constraint brings out another important aspect of linear programming; that is, certain interactions will exist between variables. The more units of one product that a firm produces, the fewer it can make of other products.

GRAPHICAL SOLUTION TO A LINEAR PROGRAMMING PROBLEM The easiest way to solve a small LP problem such as that of the Shader Electronics Company is the graphical solution approach. The graphical procedure can be used only when there are two decision variables (such as number of x-pods to produce, and number of BlueBerrys to produce, ). When there are more than two variables, it is not possible to plot the solution on a two-dimensional graph; we then must turn to more complex approaches described later in this module.

Graphical Representation of Constraints To find the optimal solution to a linear programming problem, we must first identify a set, or region, of feasible solutions. The first step in doing so is to plot the problem’s constraints on a graph.

The variable (x-pods, in our example) is usually plotted as the horizontal axis of the graph, and the variable (BlueBerrys) is plotted as the vertical axis. The complete problem may be restated as:

Maximize profit = $7X1 + $5X2

X2

X1

X2

X1,

X2 = 10 X1 = 50X1 = 70,

2X1 + 1X2 … 100 1hours of assembly time2

4X1 + 3X2 … 240 1hours of electronic time2

… …

Maximize profit = $7X1 + $5X2

X2:X1

LO1: Formulate linear programming models, including an objective function and constraints

Graphical solution approach A means of plotting a solution to a two-variable problem on a graph.

Decision variables Choices available to a decision maker.

Shader’s problem is to determine the best possible combination of x-pods and BlueBerrys to manufacture to reach the maximum profit. This product-mix situation can be formulated as a lin- ear programming problem.

We begin by summarizing the information needed to formulate and solve this problem (see Table B.1). Further, let’s introduce some simple notation for use in the objective function and constraints. Let:

X2 = number of BlueBerrys to be produced X1 = number of x-pods to be produced

Hours Required to Produce One Unit

x-pods BlueBerrys Department 1X12 1X22 Available Hours This Week

Electronic 4 3 240 Assembly 2 1 100 Profit per unit $7 $5

�TABLE B.1 Shader Electronics Company Problem Data

Module B Linear Programming 551

Subject to the constraints:

(These last two constraints are also called nonnegativity constraints). The first step in graphing the constraints of the problem is to convert the constraint

inequalities into equalities (or equations).

The equation for constraint A is plotted in Figure B.1 and for constraint B in Figure B.2. To plot the line in Figure B.1, all we need to do is to find the points at which the line

intersects the and axes. When (the location where the line touches the axis), it implies that and that Likewise, when we see that and that Thus, constraint A is bounded by the line running from

to The shaded area represents all points that satisfy the original inequality.

Constraint B is illustrated similarly in Figure B.2. When then and when then Constraint B, then, is bounded by the line between

and The shaded area represents the original inequality. Figure B.3 shows both constraints together. The shaded region is the part that satisfies both

restrictions. The shaded region in Figure B.3 is called the area of feasible solutions, or simply the feasible region. This region must satisfy all conditions specified by the program’s constraints and is thus the region where all constraints overlap. Any point in the region would be a feasible solution to the Shader Electronics Company problem. Any point outside the shaded area would represent an infeasible solution. Hence, it would be feasible to manufacture 30 x-pods and 20 BlueBerrys but it would violate the constraints to produce 70 x-pods and 40 BlueBerrys. This can be seen by plotting these points on the graph of Figure B.3.

Iso-Profit Line Solution Method Now that the feasible region has been graphed, we can proceed to find the optimal solution to the problem. The optimal solution is the point lying in the feasible region that produces the highest profit.

1X1 = 30, X2 = 202,

1X1 = 50, X2 = 02. 1X1 = 0, X2 = 1002X1 = 50.X2 = 0, X2 = 100;X1 = 0,

1X1 = 60, X2 = 02.1X1 = 0, X2 = 802 X1 = 60.4X1 = 240

X2 = 0,X2 = 80.3X2 = 240X2 X1 = 0X2X14X1 + 3X2 = 240

Constraint B: 2X1 + 1X2 = 100 Constraint A: 4X1 + 3X2 = 240

X2 Ú 0 1number ofBlueBerrysproduced is greater thanor equal to 02 X1 Ú 0 1number ofx-podsproduced is greater thanor equal to 02

2X1 + 1X2 … 100 1assembly constraint2 4X1 + 3X2 … 240 1electronics constraint2

N u m

b e r

o f B

lu e B

e rr

ys

0

Number of x-pods

X1

X2

20

40

60

80

100

Constraint A

(X1 = 0, X2 = 80)

(X1 = 60, X2 = 0)

20 40 60 80 100

� FIGURE B.1 Constraint A

N u m

b e r

o f B

lu e B

e rr

ys

0

Number of x-pods

X1

X2

20

40

60

80

100

Constraint B

(X1 = 0, X2 = 100)

(X1 = 50, X2 = 0)

20 40 60 80 100

� FIGURE B.2 Constraint B

Feasible region The set of all feasible combinations of decision variables.

552 PART 4 Quantitative Modules

Once the feasible region has been established, several approaches can be taken in solving for the optimal solution. The speediest one to apply is called the iso-profit line method.1

We start by letting profits equal some arbitrary but small dollar amount. For the Shader Electronics problem, we may choose a profit of $210. This is a profit level that can easily be obtained without violating either of the two constraints. The objective function can be written as

This expression is just the equation of a line; we call it an iso-profit line. It represents all com- binations (of ) that will yield a total profit of $210. To plot the profit line, we proceed exactly as we did to plot a constraint line. First, let and solve for the point at which the line crosses the axis:

Then let and solve for

We can now connect these two points with a straight line. This profit line is illustrated in Figure B.4. All points on the line represent feasible solutions that produce a profit of $210.

We see, however, that the iso-profit line for $210 does not produce the highest possible profit to the firm. In Figure B.5, we try graphing three more lines, each yielding a higher profit. The middle equation, was plotted in the same fashion as the lower line. When

When

Again, any combination of x-pods and BlueBerrys on this iso-profit line will produce a total profit of $280.

1X221X12

X1 = 40 x-pods $280 = $7X1 + $5102

X2 = 0:

X2 = 56 BlueBerrys $280 = $7102 + $5X2

X1 = 0: $280 = $7X1 + $5X2,

X1 = 30 x-pods $210 = $7X1 + $5102

X1:X2 = 0

X2 = 42 BlueBerrys $210 = $7102 + $5X2

X2

X1 = 0 X1, X2

$210 = 7X1 + 5X2.

20 40 100 Number of x-pods

N u m

b e r

o f B

lu e B

e rr

ys

0 X 1

X 2

40

60

80

100

Electronics (constraint A)

Assembly (constraint B)

60 80

Feasible region

20

� FIGURE B.3 Feasible Solution Region for the Shader Electronics Company Problem

1Iso means “equal” or “similar.” Thus, an iso-profit line represents a line with all profits the same, in this case $210.

LO2: Graphically solve an LP problem with the iso-profit line method

Iso-profit line method An approach to solving a linear programming maximization problem graphically.

Module B Linear Programming 553

Note that the third line generates a profit of $350, even more of an improvement. The farther we move from the 0 origin, the higher our profit will be. Another important point to note is that these iso-profit lines are parallel. We now have two clues as to how to find the optimal solution to the original problem. We can draw a series of parallel profit lines (by carefully moving our ruler in a plane parallel to the first profit line). The highest profit line that still touches some point of the feasible region will pinpoint the optimal solution. Notice that the fourth line ($420) is too high to count because it does not touch the feasible region.

The highest possible iso-profit line is illustrated in Figure B.6. It touches the tip of the feasi- ble region at the corner point and yields a profit of $410.

Corner-Point Solution Method A second approach to solving linear programming problems employs the corner-point method. This technique is simpler in concept than the iso-profit line approach, but it involves looking at the profit at every corner point of the feasible region.

The mathematical theory behind linear programming states that an optimal solution to any problem (that is, the values of that yield the maximum profit) will lie at a corner point, orX1, X2

1X1 = 30, X2 = 402

20 40 100 Number of x-pods

N u

m b

e r

o f

B lu

e B

e rr

ys

0 X 1

X 2

40

60

80

100

(30, 0)

$210 = $7

60 80

(0, 42)

20

X1 + $5X2

� FIGURE B.4 A Profit Line of $210 Plotted for the Shader Electronics Company

20 40 100 Number of x-pods

N u

m b

e r

o f

B lu

e B

e rr

ys

0 X1

X 2

40

60

80

100

60 80

20

$350 = $7X1+ $5X2

$280 = $7X1 + $5X2

$210 = $7X1 + $5X2

$420 = $7X1 + $5X2

� FIGURE B.5 Four Iso-Profit Lines Plotted for the Shader Electronics Company

20 40 100 Number of x-pods

N u m

b e r

o f

B lu

e B

e rr

ys

0 X1

X 2

40

60

80

100

60 80

20

Maximum profit line

$410 = $7X1 + $5X2

Optimal solution point (X1 = 30, X2 = 40)

� FIGURE B.6 Optimal Solution for the Shader Electronics Problem

Corner-point method A method for solving graphical linear programming problems.

554 PART 4 Quantitative Modules

extreme point, of the feasible region. Hence, it is necessary to find only the values of the vari- ables at each corner; the maximum profit or optimal solution will lie at one (or more) of them.

Once again we can see (in Figure B.7) that the feasible region for the Shader Electronics Company problem is a four-sided polygon with four corner, or extreme, points. These points are labeled �, �, �, and � on the graph. To find the values producing the maximum profit, we find out what the coordinates of each corner point are, then determine and compare their profit levels:

We skipped corner point � momentarily because to find its coordinates accurately, we will have to solve for the intersection of the two constraint lines. As you may recall from algebra, we can apply the method of simultaneous equations to the two constraint equations:

To solve these equations simultaneously, we multiply the second equation by –2:

and then add it to the first equation:

or:

Doing this has enabled us to eliminate one variable, and to solve for We can now substi- tute 40 for in either of the original constraint equations and solve for Let us use the first equation. When then:

X1 = 30 4X1 = 120

4X1 + 120 = 240 4X1 + 31402 = 240

X2 = 40, X1.X2

X2.X1,

X2 = 40

+ 1X2 = 40 – 4X1 - 2X2 = – 200 + 4X1 + 3X2 = 240

– 212X1 + 1X2 = 1002 = – 4X1 - 2X2 = – 200

2X1 + 1X2 = 100 1assembly time2 4X1 + 3X2 = 240 1electronics time2

Point �: 1X1 = 50, X2 = 02 Profit $71502 + $5102 = $350 Point �: 1X1 = 0, X2 = 802 Profit $7102 + $51802 = $400 Point �: 1X1 = 0, X2 = 02 Profit $7102 + $5102 = $0

1X1, X22

20 40 100

Number of x-pods

N u m

b e r

o f B

lu e B

e rr

ys

0 X 1

X 2

40

60

80

100

60 80

20

1

4

3

2

� FIGURE B.7 The Four Corner Points of the Feasible Region

AUTHOR COMMENT We named the decision

variables X1 and X 2 here, but any notations (e.g., x-p and

B or X and Y ) would do as well.

LO3: Graphically solve an LP problem with the corner- point method

Module B Linear Programming 555

Thus, point � has the coordinates We can compute its profit level to com- plete the analysis:

Because point � produces the highest profit of any corner point, the product mix of x-pods and BlueBerrys is the optimal solution to the Shader Electronics problem. This solution will yield a profit of $410 per production period; it is the same solution we obtained using the iso-profit line method.

SENSITIVITY ANALYSIS Operations managers are usually interested in more than the optimal solution to an LP problem. In addition to knowing the value of each decision variable (the ) and the value of the objective function, they want to know how sensitive these answers are to input parameter changes. For example, what happens if the coefficients of the objective function are not exact, or if they change by 10% or 15%? What happens if right-hand-side values of the constraints change? Because solutions are based on the assumption that input parameters are constant, the subject of sensitivity analysis comes into play. Sensitivity analysis, or postoptimality analysis, is the study of how sensitive solutions are to parameter changes.

There are two approaches to determining just how sensitive an optimal solution is to changes. The first is simply a trial-and-error approach. This approach usually involves resolving the entire problem, preferably by computer, each time one input data item or parameter is changed. It can take a long time to test a series of possible changes in this way.

The approach we prefer is the analytic postoptimality method. After an LP problem has been solved, we determine a range of changes in problem parameters that will not affect the optimal solution or change the variables in the solution. This is done without resolving the whole prob- lem. LP software, such as Excel’s Solver or POM for Windows, has this capability. Let us exam- ine several scenarios relating to the Shader Electronics example.

Program B.1 is part of the Excel Solver computer-generated output available to help a deci- sion maker know whether a solution is relatively insensitive to reasonable changes in one or more of the parameters of the problem. (The complete computer run for these data, including input and full output, is illustrated in Programs B.2 and B.3 later in this module.)

Xis

X2 = 40 X1 = 30

Point �: 1X1 = 30, X2 = 402 Profit = $71302 + $51402 = $410

1X1 = 30, X2 = 402.

Parameter Numerical value that is given in a model.

Sensitivity analysis An analysis that projects how much a solution may change if there are changes in the variables or input data.

AUTHOR COMMENT Here we look at the sensitivity

of the final answers to changing inputs.

The solution values for the variables appear. We should make 30 X-pods and 40 BlueBerrys.

We will use 240 hours and 100 hours of Electronics and Assembly time, respectively.

If we use 1 more Electronics hours our profit will increase by $1.50. This is true for up to 60 more hours.The profit will fall by $1.50 for each Electronics hour less than 240 hours, down as low as 200 hours.

� PROGRAM B.1 Sensitivity Analysis for Shader Electronics Using Excel’s Solver

LO4: Interpret sensitivity analysis and shadow prices

556 PART 4 Quantitative Modules

Sensitivity Report The Excel Sensitivity Report for the Shader Electronics example in Program B.1 has two distinct components: (1) a table titled Adjustable Cells and (2) a table titled Constraints. These tables permit us to answer several what-if questions regarding the problem solution.

It is important to note that while using the information in the sensitivity report to answer what-if questions, we assume that we are considering a change to only a single input data value at a time. That is, the sensitivity information does not always apply to simultaneous changes in several input data values.

The Adjustable Cells table presents information regarding the impact of changes to the objec- tive function coefficients (i.e., the unit profits of $7 and $5) on the optimal solution. The Constraints table presents information related to the impact of changes in constraint right-hand- side (RHS) values (i.e., the 240 hours and 100 hours) on the optimal solution. Although different LP software packages may format and present these tables differently, the programs all provide essentially the same information.

Changes in the Resources or Right-Hand-Side Values The right-hand-side values of the constraints often represent resources available to the firm. The resources could be labor-hours or machine time or perhaps money or production materials avail- able. In the Shader Electronics example, the two resources are hours available of electronics time and hours of assembly time. If additional hours were available, a higher total profit could be real- ized. How much should the company be willing to pay for additional hours? Is it profitable to have some additional electronics hours? Should we be willing to pay for more assembly time? Sensitivity analysis about these resources will help us answer these questions.

If the right-hand side of a constraint is changed, the feasible region will change (unless the constraint is redundant), and often the optimal solution will change. In the Shader example, there were 100 hours of assembly time available each week and the maximum possible profit was $410. If the available assembly hours are increased to 110 hours, the new optimal solution seen in Figure B.8(a) is (45,20) and the profit is $415. Thus, the extra 10 hours of time resulted in an increase in profit of $5 or $0.50 per hour. If the hours are decreased to 90 hours as shown in Figure B.8(b), the new optimal solution is (15,60) and the profit is $405. Thus, reducing the hours by 10 results in a decrease in profit of $5 or $0.50 per hour. This $0.50 per hour change in profit that resulted from a change in the hours available is called the shadow price, or dual value. The shadow price for a constraint is the improvement in the objective function value that results from a one-unit increase in the right-hand side of the constraint.

20 40 60 80 100

100

(a)

80

60

40

20

0

Changed assembly constraint from 2X1 + 1X2 = 100 to 2X1 + 1X2 = 110

Electronics constraint is unchanged3

4

2

1

Corner point 3 is still optimal, but values at this point are now X1 = 45, X2 = 20, with a profit = $415.

X1

X2

� FIGURE B.8 Shader Electronics Sensitivity Analysis on Right-Hand-Side (RHS) Resources

100

20 40 60 80 100

80

60

40

20

0

Changed assembly constraint from 2X1 + 1X2 = 100 to 2X1 + 1X2 = 90

Electronics constraint is unchanged

Corner point 3 is still optimal, but values at this point are now X1 = 15, X2 = 60, with a profit = $405.3

4

2

1

X1

X2(b)

Shadow price (or dual value) The value of one additional unit of a scarce resource in LP.

Module B Linear Programming 557

Validity Range for the Shadow Price Given that Shader Electronics’ profit increases by $0.50 for each additional hour of assembly time, does it mean that Shader can do this indefi- nitely, essentially earning infinite profit? Clearly, this is illogical. How far can Shader increase its assembly time availability and still earn an extra $0.50 profit per hour? That is, for what level of increase in the RHS value of the assembly time constraint is the shadow price of $0.50 valid?

The shadow price of $0.50 is valid as long as the available assembly time stays in a range within which all current corner points continue to exist. The information to compute the upper and lower limits of this range is given by the entries labeled Allowable Increase and Allowable Decrease in the Sensitivity Report in Program B.1. In Shader’s case, these values show that the shadow price of $0.50 for assembly time availability is valid for an increase of up to 20 hours from the current value and a decrease of up to 20 hours. That is, the available assembly time can range from a low of 80 to a high of 120 for the shadow price of $0.50 to be valid. Note that the allowable decrease implies that for each hour of assembly time that Shader loses (up to 20 hours), its profit decreases by $0.50.

Changes in the Objective Function Coefficient Let us now focus on the information provided in Program B.1 titled Adjustable Cells. Each row in the Adjustable Cells table contains information regarding a decision variable (i.e., x-pods or BlueBerrys) in the LP model.

Allowable Ranges for Objective Function Coefficients As the unit profit contribution of either product changes, the slope of the iso-profit lines we saw earlier in Figure B.5 changes. The size of the feasible region, however, remains the same. That is, the locations of the corner points do not change.

The limits to which the profit coefficient of x-pods or BlueBerrys can be changed without affecting the optimality of the current solution is revealed by the values in the Allowable Increase and Allowable Decrease columns of the Sensitivity Report in Program B.1. The allowable increase in the objective function coefficient for BlueBerrys is only $0.25. In contrast, the allow- able decrease is $1.50. Hence, if the unit profit of BlueBerrys drops to $4 (i.e., a decrease of $1 from the current value of $5), it is still optimal to produce 30 x-pods and 40 BlueBerrys. The total profit will drop to $370 (from $410) because each BlueBerry now yields less profit (of $1 per unit). However, if the unit profit drops below $3.50 per BlueBerry (i.e., a decrease of more than $1.50 from the current $5 profit), the current solution is no longer optimal. The LP problem will then have to be resolved using Solver, or other software, to find the new optimal corner point.

SOLVING MINIMIZATION PROBLEMS Many linear programming problems involve minimizing an objective such as cost instead of maximizing a profit function. A restaurant, for example, may wish to develop a work schedule to meet staffing needs while minimizing the total number of employees. Also, a manufacturer may seek to distribute its products from several factories to its many regional warehouses in such a way as to minimize total shipping costs.

Minimization problems can be solved graphically by first setting up the feasible solution region and then using either the corner-point method or an iso-cost line approach (which is anal- ogous to the iso-profit approach in maximization problems) to find the values of and that yield the minimum cost.

Example B1 shows how to solve a minimization problem.

X2X1

1= 100 + 2021= 100 - 202

Iso-cost An approach to solving a linear programming minimization problem graphically.

AUTHOR COMMENT LP problems can be

structured to minimize costs as well as maximize profits.

� EXAMPLE B1 A minimization problem with two variables

Cohen Chemicals, Inc., produces two types of photo-developing fluids. The first, a black-and-white picture chemical, costs Cohen $2,500 per ton to produce. The second, a color photo chemical, costs $3,000 per ton.

Based on an analysis of current inventory levels and outstanding orders, Cohen’s production man- ager has specified that at least 30 tons of the black-and-white chemical and at least 20 tons of the color chemical must be produced during the next month. In addition, the manager notes that an existing inventory of a highly perishable raw material needed in both chemicals must be used within 30 days. To avoid wasting the expensive raw material, Cohen must produce a total of at least 60 tons of the photo chemicals in the next month.

558 PART 4 Quantitative Modules

APPROACH � Formulate this information as a minimization LP problem. Let:

Subject to:

SOLUTION � To solve the Cohen Chemicals problem graphically, we construct the problem’s feasible region, shown in Figure B.9.

X1, X2 Ú 0 nonnegativity requirements X1 + X2 Ú 60 tons total

X2 Ú 20 tons of color chemical X1 Ú 30 tons of black-and-white chemical

Objective: Minimize cost = $2,500X1 + $3,000X2 X2 = number of tons of color photo chemical produced X1 = number of tons of black-and-white photo chemical produced

0 X 1

X2

Feasible region

X1 = 30 X2 = 20

10

10

20

30

40

50

20 30 40 50 60

60 X1 + X2 = 60

b

a

� FIGURE B.9 Cohen Chemicals’ Feasible Region

Minimization problems are often unbounded outward (that is, on the right side and on the top), but this characteristic causes no problem in solving them. As long as they are bounded inward (on the left side and the bottom), we can establish corner points. The optimal solution will lie at one of the corners.

In this case, there are only two corner points, a and b, in Figure B.9. It is easy to determine that at point a, and and that at point b, and The optimal solution is found at the point yielding the lowest total cost.

Thus:

The lowest cost to Cohen Chemicals is at point a. Hence the operations manager should produce 40 tons of the black-and-white chemical and 20 tons of the color chemical.

INSIGHT � The area is either not bounded to the right or above in a minimization problem (as it is in a maximization problem).

LEARNING EXERCISE � Cohen’s second constraint is recomputed and should be Does anything change in the answer? [Answer: Now and ]

RELATED PROBLEMS � B.3, B.5, B.6, B.11, B.12, B.22, B.24

EXCEL OM Data File ModBExB1.xls can be found at www.pearsonhighered.com/heizer.

Total cost = $157,500.X1 = 45, X2 = 15, X2 Ú 15.

= $165,000 = 2,5001302 + 3,0001302

Total cost at b = 2,500X1 + 3,000X2 = $160,000 = 2,5001402 + 3,0001202

Total cost at a = 2,500X1 + 3,000X2

X2 = 30.X1 = 30X2 = 20,X1 = 40 LO5: Construct and solve a minimization problem

Module B Linear Programming 559

LINEAR PROGRAMMING APPLICATIONS The foregoing examples each contained just two variables ( and ). Most real-world prob- lems contain many more variables, however. Let’s use the principles already developed to formu- late a few more-complex problems. The practice you will get by “paraphrasing” the following LP situations should help develop your skills for applying linear programming to other common operations situations.

Production-Mix Example Example B2 involves another production-mix decision. Limited resources must be allocated among various products that a firm produces. The firm’s overall objective is to manufacture the selected products in such quantities as to maximize total profits.

X2X1

LO6: Formulate production-mix, diet, and labor scheduling problems

� EXAMPLE B2 A production-mix problem

It has been said that an airline seat is the most perishable commodity in the world. Each time an airliner takes off with an empty seat, a revenue opportunity is lost forever. For Continental, Delta, and Southwest, which each flies thousands of flight legs per day on hundreds of planes, the schedule is their very heartbeat. These schedules, all developed with massive LP models (Southwest’s program has 90,000 constraints and 2 million variables), assign aircraft to specific routes and assign pilots and flight attendants to each of these aircraft.

One flight leg for Continental might consist of a Boeing 777 assigned to fly at 7:05 A.M. from Houston to Chicago to arrive at 9:15 A.M. Continental’s problem, like that of Delta and every other competitor, is to match planes such as 737s, 767s, or 777s to flight legs such as Houston–Chicago

and to fill seats with paying passengers. And when schedule disruptions occur due to a hurricane (like Katrina in 2005), mechanical problems, or crew unavailability, planes and people are often in the wrong place.

That is why Continental runs its OptSolver, Delta its ColdStart, and Southwest its ILOG Optimizer every day. These LP models include constraints such as aircraft availability, maintenance needs, crew training requirements, arrival/departure needs, and so on. The airlines’ objectives are to minimize a combination of operating costs and lost passenger revenue. The savings from LP have been in the $100s of millions per year at these airlines.

Sources: Computers & Operations Research (June 2009): 2031; Aviation Daily (June 16, 2009): 6; Interfaces (July–August 2004): 253–271; and www.blogsouthwest.com (2010).

OM in Action � Continental, Delta, and Southwest Save $100s of Millions with LP

AUTHOR COMMENT Now we look at three larger problems—ones that have

more than two decision variables each and therefore

are not graphed.

Failsafe Electronics Corporation primarily manufactures four highly technical products, which it sup- plies to aerospace firms that hold NASA contracts. Each of the products must pass through the follow- ing departments before they are shipped: wiring, drilling, assembly, and inspection. The time requirements in each department (in hours) for each unit produced and its corresponding profit value are summarized in this table:

The production time available in each department each month and the minimum monthly production requirement to fulfill contracts are as follows:

Department

Product Wiring Drilling Assembly Inspection Unit Profit

XJ201 .5 3 2 .5 $ 9 XM897 1.5 1 4 1.0 $12 TR29 1.5 2 1 .5 $15 BR788 1.0 3 2 .5 $11

Department Capacity (hours) Product

Minimum Production Level

Wiring 1,500 XJ201 150 Drilling 2,350 XM897 100 Assembly 2,600 TR29 200 Inspection 1,200 BR788 400

560 PART 4 Quantitative Modules

APPROACH � Formulate this production-mix situation as an LP problem. The production man- ager first specifies production levels for each product for the coming month. He lets:

SOLUTION � The LP formulation is:

INSIGHT � There can be numerous constraints in an LP problem. The constraint right-hand sides may be in different units, but the objective function uses one common unit—dollars of profit, in this case. Because there are more than two decision variables, this problem is not solved graphically.

LEARNING EXERCISE � Solve this LP problem as formulated. What is the solution? [Answer: ]

RELATED PROBLEMS � B.7, B.8, B.10, B.19, B.20, B.21, B.23, B.28, B.29

X1 = 150, X2 = 300, X3 = 200, X4 = 400.

X1,X2,X3,X4 Ú 0 X4 Ú 400 units of BR788 X3 Ú 200 units of TR29 X2 Ú 100 units of XM897 X1 Ú 150 units of XJ201

.5X1 + 1X2 + .5X3 + .5X4 … 1,200 hours of inspection 2X1 + 4X2 + 1X3 + 2X4 … 2,600 hours of assembly available 3X1 + 1X2 + 2X3 + 3X4 … 2,350 hours of drilling available

subject to: .5X1 + 1.5X2 + 1.5X3 + 1X4 … 1,500 hours of wiring available

Objective: Maximize profit = 9X1 + 12X2 + 15X3 + 11X4

X4 = number of units of BR788 produced X3 = number of units of TR29 produced X2 = number of units of XM897 produced X1 = number of units of XJ201 produced

Diet Problem Example Example B3 illustrates the diet problem, which was originally used by hospitals to determine the most economical diet for patients. Known in agricultural applications as the feed-mix problem, the diet problem involves specifying a food or feed ingredient combination that will satisfy stated nutritional requirements at a minimum cost level.

EXAMPLE B3 � A diet problem

The Feed ’N Ship feedlot fattens cattle for local farmers and ships them to meat markets in Kansas City and Omaha. The owners of the feedlot seek to determine the amounts of cattle feed to buy to satisfy minimum nutritional standards and, at the same time, minimize total feed costs.

Each grain stock contains different amounts of four nutritional ingredients: A, B, C, and D. Here are the ingredient contents of each grain, in ounces per pound of grain:

The cost per pound of grains X, Y, and Z is $0.02, $0.04, and $0.025, respectively. The minimum requirement per cow per month is 64 ounces of ingredient A, 80 ounces of ingredient B, 16 ounces of ingredient C, and 128 ounces of ingredient D.

The feedlot faces one additional restriction—it can obtain only 500 pounds of stock Z per month from the feed supplier, regardless of its need. Because there are usually 100 cows at the Feed ’N Ship feedlot at any given time, this constraint limits the amount of stock Z for use in the feed of each cow to no more than 5 pounds, or 80 ounces, per month.

Feed

Ingredient Stock X Stock Y Stock Z A 3 oz 2 oz 4 oz B 2 oz 3 oz 1 oz C 1 oz 0 oz 2 oz D 6 oz 8 oz 4 oz

Module B Linear Programming 561

APPROACH � Formulate this as a minimization LP problem.

SOLUTION � Objective: Minimize cost

subject to: Ingredient A requirement:

Ingredient B requirement:

Ingredient C requirement:

Ingredient D requirement:

Stock Z limitation:

The cheapest solution is to purchase 40 pounds of grain at a cost of $0.80 per cow.

INSIGHT � Because the cost per pound of stock X is so low, the optimal solution excludes grains Y and Z.

LEARNING EXERCISE � The cost of a pound of stock X just increased by 50%. Does this affect the solution? [Answer: Yes, when the cost per pound of grain X is $0.03, pounds,

pounds, and per cow.]

RELATED PROBLEMS � B.6, B.30

cost = $1.12X3 = 0,X2 = 16 X1 = 16

X1,

X1,X2,X3 Ú 0 X3 … 5

6X1 + 8X2 + 4X3 Ú 128 1X1 + 0X2 + 2X3 Ú 16 2X1 + 3X2 + 1X3 Ú 80 3X1 + 2X2 + 4X3 Ú 64

= .02X1 + .04X2 + .025X3

X3 = number of pounds of stock Z purchased per cow each month X2 = number of pounds of stock Y purchased per cow each month

Let: X1 = number of pounds of stock X purchased per cow each month

Labor Scheduling Example Labor scheduling problems address staffing needs over a specific time period. They are espe- cially useful when managers have some flexibility in assigning workers to jobs that require over- lapping or interchangeable talents. Large banks and hospitals frequently use LP to tackle their labor scheduling. Example B4 describes how one bank uses LP to schedule tellers.

Mexico City Bank of Commerce and Industry is a busy bank that has requirements for between 10 and 18 tellers depending on the time of day. Lunchtime, from noon to 2 P.M., is usually heaviest. The table below indicates the workers needed at various hours that the bank is open.

The bank now employs 12 full-time tellers, but many people are on its roster of available part-time employees. A part-time employee must put in exactly 4 hours per day but can start anytime between 9 A.M. and 1 P.M. Part-timers are a fairly inexpensive labor pool because no retirement or lunch benefits are provided them. Full-timers, on the other hand, work from 9 A.M. to 5 P.M. but are allowed 1 hour for lunch. (Half the full-timers eat at 11 A.M., the other half at noon.) Full-timers thus provide 35 hours per week of productive labor time.

By corporate policy, the bank limits part-time hours to a maximum of 50% of the day’s total requirement. Part-timers earn $6 per hour (or $24 per day) on average, whereas full-timers earn $75 per day in

salary and benefits on average.

APPROACH � The bank would like to set a schedule, using LP, that would minimize its total manpower costs. It will release 1 or more of its full-time tellers if it is profitable to do so.

We can let: full-time tellers part-timers starting at 9 A.M. (leaving at 1 P.M.) part-timers starting at 10 A.M. (leaving at 2 P.M.) part-timers starting at 11 A.M. (leaving at 3 P.M.) part-timers starting at noon (leaving at 4 P.M.) part-timers starting at 1 P.M. (leaving at 5 P.M.)P5 =

P4 = P3 = P2 = P1 = F =

Time Period Number of

Tellers Required Time Period Number of

Tellers Required

9 A.M.–10 A.M. 10 1 P.M.–2 P.M. 18 10 A.M.–11 A.M. 12 2 P.M.–3 P.M. 17 11 A.M.–Noon 14 3 P.M.–4 P.M. 15 Noon–1 P.M. 16 4 P.M.–5 P.M. 10

� EXAMPLE B4 Scheduling bank tellers

562 PART 4 Quantitative Modules

SOLUTION � Objective function:

Constraints: For each hour, the available labor-hours must be at least equal to the required labor-hours:

(9 A.M. to 10 A.M. needs) (10 A.M. to 11 A.M. needs)

(11 A.M. to noon needs)

(noon to 1 P.M. needs)

(1 P.M. to 2 P.M. needs)

(2 P.M. to 3 P.M. needs)

(3 P.M. to 4 P.M. needs) (4 P.M. to 5 P.M. needs)

Only 12 full-time tellers are available, so:

Part-time worker-hours cannot exceed 50% of total hours required each day, which is the sum of the tellers needed each hour:

or:

There are two alternative optimal schedules that Mexico City Bank can follow. The first is to employ only 10 full-time tellers ( ) and to start 7 part-timers at 10 A.M. ( ), 2 part-timers at 11 A.M. and noon ( and ), and 3 part-timers at 1 P.M. ( ). No part-timers would begin at 9 A.M.P5 = 3P4 = 2P3 = 2

P2 = 7F = 10

F,P1,P2,P3,P4,P5 Ú 0 4P1 + 4P2 + 4P3 + 4P4 + 4P5 … 0.5011122

41P1 + P2 + P3 + P4 + P52 … .50110 + 12 + 14 + 16 + 18 + 17 + 15 + 102

F … 12

F + P5 Ú 10 F + P4 + P5 Ú 15 F + P3 + P4 + P5 Ú 17 F + P2 + P3 + P4 + P5 Ú 18 1 2F + P1 + P2 + P3 + P4 Ú 16 1 2F + P1 + P2 + P3 Ú 14 F + P1 + P2 Ú 12 F + P1 Ú 10

Minimize total daily manpower cost = $75F + $241P1 + P2 + P3 + P4 + P52

THE SIMPLEX METHOD OF LP Most real-world linear programming problems have more than two variables and thus are too complex for graphical solution. A procedure called the simplex method may be used to find the optimal solution to such problems. The simplex method is actually an algorithm (or a set of instructions) with which we examine corner points in a methodical fashion until we arrive at the best solution—highest profit or lowest cost. Computer programs (such as Excel OM and POM for Windows) and Excel spreadsheets are available to solve linear programming problems via the simplex method.

For details regarding the algebraic steps of the simplex algorithm, see Tutorial 3 at our text website or refer to a management science textbook.2

Simplex method An algorithm for solving linear programming problems of all sizes.

2See, for example, Barry Render, Ralph M. Stair, and Michael Hanna, Quantitative Analysis for Management, 10th ed. (Pearson Education, Inc., Upper Saddle River, NJ, 2009): Chapters 7–9; or Raju Balakrishnan, Barry Render, and Ralph M. Stair, Managerial Decision Modeling with Spreadsheets, 2nd ed. (Pearson Education, Inc., Upper Saddle River, NJ, 2007): Chapters 2–4.

The second solution also employs 10 full-time tellers, but starts 6 part-timers at 9 A.M. ( ), 1 part-timer at 10 A.M. ( ), 2 part-timers at 11 A.M. and noon ( and ), and 3 part- timers at 1 P.M. ( ). The cost of either of these two policies is $1,086 per day.

INSIGHT � It is not unusual for multiple optimal solutions to exist in large LP problems. In this case, it gives management the option of selecting, at the same cost, between schedules. To find an alter- nate optimal solution, you may have to enter the constraints in a different sequence.

LEARNING EXERCISE � The bank decides to give part-time employees a raise to $7 per hour. Does the solution change? [Answer: Yes,

]

RELATED PROBLEM � B.18

P4 = 5, P5 = 0. cost = $1,142, F = 10, P1 = 6, P2 = 1, P3 = 2,

P5 = 3 P4 = 2P3 = 2P2 = 1

P1 = 6

Module B Linear Programming 563

This module introduces a special kind of model, linear pro- gramming. LP has proven to be especially useful when try- ing to make the most effective use of an organization’s resources.

The first step in dealing with LP models is problem for- mulation, which involves identifying and creating an objec- tive function and constraints. The second step is to solve the problem. If there are only two decision variables, the prob-

lem can be solved graphically, using the corner-point method or the iso- profit/iso-cost line method. With either approach, we first identify the feasible region, then find the corner point yielding the greatest profit or least cost. LP is used in a wide variety of business applications, as the examples and homework problems in this module reveal.

Key Terms

Linear programming (LP) (p. 548) Objective function (p. 549) Constraints (p. 549) Graphical solution approach (p. 550) Decision variables (p. 550)

Feasible region (p. 551) Iso-profit line method (p. 552) Corner-point method (p. 553) Parameter (p. 555) Sensitivity analysis (p. 555)

Shadow price (or dual value) (p. 556) Iso-cost (p. 557) Simplex method (p. 562)

Using Software to Solve LP Problems All LP problems can be solved with the simplex method, using software such as Excel OM and POM for Windows or Excel. This approach produces valuable economic information such as the shadow price, or dual value, and provides complete sensitivity analysis on other inputs to the problems. Excel uses Solver, which requires that you enter your own constraints. Excel OM and POM for Windows require only that demand data, supply data, and shipping costs be entered. In the following section we illustrate how to create an Excel spreadsheet for LP problems.

X Using Excel Spreadsheets Excel offers the ability to analyze linear programming problems using built-in problem-solving tools. Excel’s tool is named Solver. Solver is limited to 200 changing cells (variables), each with 2 boundary constraints and up to 100 additional constraints. These capabilities make Solver suitable for the solution of complex, real-world problems.

We use Excel to set up the Shader Electronics problem in Program B.2. The objective and constraints are repeated here:

Objective function: Maximize profit =

21x-pods2 + 11BlueBerry2 … 100 Subject to: 41x-pods2 + 31BlueBerrys2 … 240

$71No. of x-pods2 + $51No. of BlueBerrys2

MODULE SUMMARY

� PROGRAM B.2 Using Excel to Formulate the Shader Electronics Problem

564 PART 4 Quantitative Modules

� PROGRAM B.3 Excel Solution to Shader Electronics LP Problem

The Excel screen in Program B.3 shows Solver’s solution to the Shader Electronics Company problem. Note that the optimal solution is now shown in the changing cells (cells B8 and C8, which served as the variables). The Reports selection performs more extensive analysis of the solution and its environment. Excel’s sensitivity analysis capability was illustrated earlier in Program B.1.

PX Using Excel OM and POM for Windows Excel OM and POM for Windows can handle relatively large LP problems. As output, the software pro- vides optimal values for the variables, optimal profit or cost, and sensitivity analysis. In addition, POM for Windows provides graphical output for problems with only two variables.

Solved Problems Virtual Office Hours help is available at www.myomlab.com

� SOLVED PROBLEM B.1 Smith’s, a Niagara, New York, clothing manufacturer that pro- duces men’s shirts and pajamas, has two primary resources avail- able: sewing-machine time (in the sewing department) and cutting-machine time (in the cutting department). Over the next month, owner Barbara Smith can schedule up to 280 hours of work on sewing machines and up to 450 hours of work on cutting machines. Each shirt produced requires 1.00 hour of sewing time

and 1.50 hours of cutting time. Producing each pair of pajamas requires .75 hour of sewing time and 2 hours of cutting time.

To express the LP constraints for this problem mathemati- cally, we let:

X2 = number of pajamas produced X1 = number of shirts produced

� SOLUTION First constraint: hours of sewing-machine time

available—our first scarce resource Second constraint: hours of cutting-machine time

available—our second scarce resource

Note: This means that each pair of pajamas takes 2 hours of the cutting resource. Smith’s accounting department analyzes cost and sales figures and states that each shirt produced will

yield a $4 contribution to profit and that each pair of pajamas will yield a $3 contribution to profit. This information can be used to create the LP objective function for this problem:

Objective function: Maximize total contribution to profit = $4X1 + $3X2

1.5X1 + �X2 … 450

1X1 + .75X2 … 280

Computations

Value Cell Excel Formula Action

Left Hand Side D4 =SUMPRODUCT($B$8:$C$8,B4:C4) Copy to D5:D6 Slack G5 =F5–D5 Copy to G6

Select Tools, Solver Set Solver parameters as displayed Press Solve

Module B Linear Programming 565

� SOLVED PROBLEM B.2 We want to solve the following LP problem for Kevin Caskey Wholesale Inc. using the corner-point method:

� SOLUTION Figure B.10 illustrates these constraints:

Corner-point a:

Corner-point b:

Corner-point d:

Corner-point c is obtained by solving equations and simultaneously. Multiply the second equa- tion by and add it to the first.

And or or

Corner-point c:

Hence the optimal solution is:

1x1 = 18, x2 = 42 Profit = $190

Profit = 91182+ 7142= $1901X1 = 18,X2 = 42

X1 = 18X1 + 12 = 30X1 + 3142 = 30

Thus X2 = 4. – 5X2 = - 20

– 2X1 + 6X2 = - 60 2X1 + 1X2 = 40

- 2 X1 + 3X2 = 30

2X1 + 1X2 = 40

1X1 = 20, X2 = 02 Profit = 91202 + 7102 = $180 1X1 = 0, X2 = 102 Profit = 9102 + 71102 = $70 1X1 = 0, X2 = 02 Profit = 0

X1,X2 Ú 0 X1 + 3X2 … 30

Constraints: 2X1 + 1X2 … 40 Objective: Maximize profit = $9X1 + $7X2

0 X 1

X 2

10

10

20

30

40

20 30 40

dc

a

b

� FIGURE B.10 K. Caskey Wholesale, Inc.’s Feasible Region

subject to these constraints:

Figure B.11 illustrates these constraints.

1 2X1 Ú 1

1 2 oz 1ingredientA constraint2

4X1 + 3X2 Ú 48 oz 1ingredientB constraint2 5X1 + 10X2 Ú 90 oz 1ingredientA constraint2

Composition of Each Pound of Feed

Ingredient ` Brand Y

Feed Brand Z

Feed Minimum Monthly

Requirement

A 5 oz 10 oz 90 oz B 4 oz 3 oz 48 oz C .5 oz 0 1.5 oz Cost/lb $.02 $.03

� SOLVED PROBLEM B.3 Holiday Meal Turkey Ranch is considering buying two different types of turkey feed. Each feed contains, in varying proportions, some or all of the three nutritional ingredients essential for fatten- ing turkeys. Brand Y feed costs the ranch $.02 per pound. Brand Z costs $.03 per pound. The rancher would like to determine the lowest-cost diet that meets the minimum monthly intake require- ment for each nutritional ingredient.

The following table contains relevant information about the composition of brand Y and brand Z feeds, as well as the minimum monthly requirement for each nutritional ingredient per turkey.

� SOLUTION If we let:

then we may proceed to formulate this linear programming prob- lem as follows:

Objective: Minimize cost 1in cents2 = 2X1 + 3X2

X2 = number of pounds of brand Z feed purchased X1 = number of pounds of brand Y feed purchased Pounds of brand

P o u n d s

o f b ra

n d

0 X1

X2

5 10 15 20 Y

Z

5

10

15

20

b

Feasible region

Ingredient C constraint

Ingredient B constraint

Ingredient A constraint

c

a

� FIGURE B.11 Feasible Region for the Holiday Meal Turkey Ranch Problem

Bibliography

Bard, J. F. “Staff Scheduling in High Volume Services with Downgrading.” IIE Transactions 36 (October 2004): 985.

Brown, G., R. F. Dell, and A. M. Newman. “Optimizing Military Capital Planning.” Interfaces 34, no. 6 (November–December 2004): 415–425.

daSilva, C. G., et al. “An Interactive Decision Support System for an Aggregate Planning Production Model.” Omega 34 (April 2006): 167.

Denton, Brian T. “AusWest Timbers Uses an Optimization Model to Improve Its Manufacturing Process.” Interfaces 38, no. 4 (July–August 2008): 341–344.

Duran, G., et al. “Scheduling the Chilean Soccer League by Integer Programming.” Interfaces 37, no. 6 (November–December 2007): 539–555.

Harrod, Steven. “A Spreadsheet-Based, Matrix Formulation Linear Programming Lesson.” Decision Sciences Journal of Innovative Education 7, no. 1 (January 2009): 249.

Martin, C. H. “Ohio University’s College of Business Uses Integer Programming to Schedule Classes.” Interfaces 34 (November–December 2004): 460–465.

Neureuther, B. D., G. G. Polak, and N. R. Sanders. “A Hierarchical Production Plan for a Make-to-Order Steel Fabrication Plant.” Production Planning & Control 15 (April 2004): 324.

Pasupathy, K., and A. Medina-Borja. “Integrating Excel, Access, and Visual Basic to Deploy Performance Measurement and Evaluation at the American Red Cross.” Interfaces 38, no. 4 (July–August 2008): 324–340.

Render, B., R. M. Stair, and Michael Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall (2009).

Render, B., R. M. Stair, and R. Balakrishman. Managerial Decision Modeling with Spreadsheets, 2nd ed. Upper Saddle River, NJ: Prentice Hall (2007).

Sodhi, M. S., and S. Norri. “A Fast and Optimal Modeling Approach Applied to Crew Rostering at London Underground.” Annals of OR 127 (March 2004): 259.

Taylor, Bernard. Introduction to Management Science, 10th ed. Upper Saddle River, NJ: Prentice Hall (2011).

�Additional Case Studies: Visit www.myomlab.com or www.pearsonhighered.com/heizer for these additional free case studies: Chase Manhattan Bank: This scheduling case involves finding the optimal number of full-time versus part-time employees at a bank. Coastal States Chemical: The company must prepare for a shortage of natural gas.

566 PART 4 Quantitative Modules

Pounds of brand

P o u n d s

o f b ra

n d

0 X 1

X2

5 10 15 20 25 Y

Z

5

10

15

20

Feasible region (shaded area)

(X1 = 8.4, X2 = 4.8)

X 1

31.2¢ = 2 + 3X

2

54¢ = 2X 1 + 3X

2 iso-cost line

Direction of decreasing cost

� FIGURE B.12 Graphical Solution to the Holiday Meal Turkey Ranch Problem Using the Iso-Cost Line

AUTHOR COMMENT Note that the last line parallel

to the 54¢ iso-cost line that touches the feasible

region indicates the optimal corner point.

The iso-cost line approach may be used to solve LP mini- mization problems such as that of the Holiday Meal Turkey Ranch. As with iso-profit lines, we need not compute the cost at each corner point, but instead draw a series of parallel cost lines. The last cost point to touch the feasible region provides us with the optimal solution corner.

For example, we start in Figure B.12 by drawing a 54¢ cost line, namely, Obviously, there are many points54 = 2X1 + 3X2.

in the feasible region that would yield a lower total cost. We pro- ceed to move our iso-cost line toward the lower left, in a plane par- allel to the 54¢ solution line. The last point we touch while still in contact with the feasible region is the same as corner point b of Figure B.11. It has the coordinates ( ) and an associated cost of 31.2 cents.

X1 = 8.4, X2 = 4.8

QUANTITATIVE MODULE

Transportation Models

Module Outline

Transportation Modeling 568

Developing an Initial Solution 570

The Stepping-Stone Method 572

Special Issues in Modeling 575

567

568 PART 4 Quantitative Modules

LO1: Develop an initial solution to a transportation model with the northwest-corner and intuitive lowest-cost methods 570

LO2: Solve a problem with the stepping-stone method 572

Module C Learning Objectives

TRANSPORTATION MODELING Because location of a new factory, warehouse, or distribution center is a strategic issue with sub- stantial cost implications, most companies consider and evaluate several locations. With a wide variety of objective and subjective factors to be considered, rational decisions are aided by a number of techniques. One of those techniques is transportation modeling.

The transportation models described in this module prove useful when considering alternative facility locations within the framework of an existing distribution system. Each new potential plant, warehouse, or distribution center will require a different allocation of shipments, depend- ing on its own production and shipping costs and the costs of each existing facility. The choice of a new location depends on which will yield the minimum cost for the entire system.

Transportation modeling finds the least-cost means of shipping supplies from several ori- gins to several destinations. Origin points (or sources) can be factories, warehouses, car rental agencies like Avis, or any other points from which goods are shipped. Destinations are any points that receive goods. To use the transportation model, we need to know the following:

1. The origin points and the capacity or supply per period at each. 2. The destination points and the demand per period at each. 3. The cost of shipping one unit from each origin to each destination.

The transportation model is actually a class of the linear programming models discussed in Quantitative Module B. As it is for linear programming, software is available to solve transportation

The problem facing rental companies like Avis, Hertz, and National is cross-country travel. Lots of it. Cars rented in New York end up in Chicago, cars from L.A. come to Philadelphia, and cars from Boston come to Miami. The scene is repeated in over 100 cities around the U.S. As a result, there are too many cars in some cities and too few in others. Operations managers have to decide how many of these rentals should be trucked (by costly auto carriers) from each city with excess capacity to each city that needs more rentals. The process requires quick action for the most economical routing; so rental car companies turn to transportation modeling.

Transportation modeling An iterative procedure for solving problems that involves minimizing the cost of shipping products from a series of sources to a series of destinations.

LO3: Balance a transportation problem 576

LO4: Solve a problem with degeneracy 577

Module C Transportation Models 569

Albuquerque (300 units required)

Des Moines (100 units capacity)

Evansville (300 units capacity)

Cleveland (200 units required)

Boston (200 units required)

Fort Lauderdale (300 units capacity)

� FIGURE C.1 Transportation Problem

� TABLE C.1 Transportation Costs per Bathtub for Arizona Plumbing

To From Albuquerque Boston Cleveland

Des Moines $5 $4 $3

Evansville $8 $4 $3

Fort Lauderdale $9 $7 $5

problems. To fully use such programs, though, you need to understand the assumptions that underlie the model. To illustrate one transportation problem, in this module we look at a company called Arizona Plumbing, which makes, among other products, a full line of bathtubs. In our example, the firm must decide which of its factories should supply which of its warehouses. Relevant data for Arizona Plumbing are presented in Table C.1 and Figure C.1. Table C.1 shows, for example, that it costs Arizona Plumbing $5 to ship one bathtub from its Des Moines factory to its Albuquerque ware- house, $4 to Boston, and $3 to Cleveland. Likewise, we see in Figure C.1 that the 300 units required by Arizona Plumbing’s Albuquerque warehouse may be shipped in various combinations from its Des Moines, Evansville, and Fort Lauderdale factories.

From To

Des Moines

$5

Albuquerque

Evansville

$8

Fort Lauderdale

$9

$4

Boston

$4

$7

$3

Cleveland

$3

$5

Factory capacity

Warehouse requirement 300 200 200 700

300

300

100

Cleveland warehouse demand

Cost of shipping 1 unit from Fort Lauderdale factory to Boston warehouse

Total demand and total supply

Cell representing a possible source-to- destination shipping assignment (Evansville to Cleveland)

Des Moines capacity constraint

� FIGURE C.2 Transportation Matrix for Arizona Plumbing

The first step in the modeling process is to set up a transportation matrix. Its purpose is to summarize all relevant data and to keep track of algorithm computations. Using the information displayed in Figure C.1 and Table C.1, we can construct a transportation matrix as shown in Figure C.2.

570 PART 4 Quantitative Modules

DEVELOPING AN INITIAL SOLUTION Once the data are arranged in tabular form, we must establish an initial feasible solution to the problem. A number of different methods have been developed for this step. We now discuss two of them, the northwest-corner rule and the intuitive lowest-cost method.

The Northwest-Corner Rule The northwest-corner rule requires that we start in the upper-left-hand cell (or northwest cor- ner) of the table and allocate units to shipping routes as follows:

1. Exhaust the supply (factory capacity) of each row (e.g., Des Moines: 100) before moving down to the next row.

2. Exhaust the (warehouse) requirements of each column (e.g., Albuquerque: 300) before mov- ing to the next column on the right.

3. Check to ensure that all supplies and demands are met.

Example C1 applies the northwest-corner rule to our Arizona Plumbing problem.

LO1: Develop an initial solution to a transportation model with the northwest- corner and intuitive lowest- cost methods

Northwest-corner rule A procedure in the transportation model where one starts at the upper-left-hand cell of a table (the northwest corner) and systematically allocates units to shipping routes.

EXAMPLE C1 � The northwest- corner rule

Arizona Plumbing wants to use the northwest-corner rule to find an initial solution to its problem.

APPROACH � Follow the 3 steps listed above. See Figure C.3.

SOLUTION � To make the initial solution, these five assignments are made:

1. Assign 100 tubs from Des Moines to Albuquerque (exhausting Des Moines’s supply). 2. Assign 200 tubs from Evansville to Albuquerque (exhausting Albuquerque’s demand). 3. Assign 100 tubs from Evansville to Boston (exhausting Evansville’s supply). 4. Assign 100 tubs from Fort Lauderdale to Boston (exhausting Boston’s demand). 5. Assign 200 tubs from Fort Lauderdale to Cleveland (exhausting Cleveland’s demand and

Fort Lauderdale’s supply).

AUTHOR COMMENT Here are two ways of finding

an initial solution.

From To

(D) Des Moines

(E) Evansville

(F) Fort Lauderdale

$9

$4 $3

(A) Albuquerque

(B) Boston

(C) Cleveland

$3

Factory capacity

Warehouse requirement 300 200 200 700

300

300

100

200

100

100

100

200

Means that the firm is shipping 100 bathtubs from Fort Lauderdale to Boston

$5

$8 $4

$7 $5

� FIGURE C.3 Northwest-Corner Solution to Arizona Plumbing Problem

� TABLE C.2 Computed Shipping Cost Route

From To Tubs Shipped Cost per Unit Total Cost

D A 100 $5 $ 500 E A 200 8 1,600 E B 100 4 400 F B 100 7 700 F C 200 5

Total: $4,200 $1,000

The total cost of this shipping assignment is $4,200 (see Table C.2).

Module C Transportation Models 571

INSIGHTS � The solution given is feasible because it satisfies all demand and supply constraints. The northwest-corner rule is easy to use, but it totally ignores costs, and therefore should only be con- sidered as a starting position.

LEARNING EXERCISE � Does the shipping assignment change if the cost from Des Moines to Albuquerque increases from $5 per unit to $10 per unit? Does the total cost change? [Answer: This initial assignment is the same, but cost = $4,700.]

RELATED PROBLEMS � C.1a, C.3a, C.9, C.11, C.12

The Intuitive Lowest-Cost Method The intuitive method makes initial allocations based on lowest cost. This straightforward approach uses the following steps:

1. Identify the cell with the lowest cost. Break any ties for the lowest cost arbitrarily. 2. Allocate as many units as possible to that cell without exceeding the supply or demand.

Then cross out that row or column (or both) that is exhausted by this assignment. 3. Find the cell with the lowest cost from the remaining (not crossed out) cells. 4. Repeat steps 2 and 3 until all units have been allocated.

Intuitive method A cost-based approach to finding an initial solution to a transportation problem.

� EXAMPLE C2 The intuitive lowest-cost approach

Arizona Plumbing now wants to apply the intuitive lowest-cost approach.

APPROACH � Apply the 4 steps listed above to the data in Figure C.2.

SOLUTION � When the firm uses the intuitive approach on the data (rather than the northwest- corner rule) for its starting position, it obtains the solution seen in Figure C.4.

1D to C2 1E to C2 1E to B2 1F to A2 The total cost of this approach = $311002 + $311002 + $412002 + $913002 = $4,100.

INSIGHT � This method’s name is appropriate as most people find it intuitively correct to include costs when making an initial assignment.

LEARNING EXERCISE � If the cost per unit from Des Moines to Cleveland is not $3, but rather $6, does this initial solution change? [Answer: Yes, now

Others unchanged at zero. Total cost stays the same.]

RELATED PROBLEMS � C.1b, C.2, C.3b

E – B = 100, E – C = 200, F – A = 300. D – B = 100, D – C = 0,

While the likelihood of a minimum-cost solution does improve with the intuitive method, we would have been fortunate if the intuitive solution yielded the minimum cost. In this case, as in the northwest-corner solution, it did not. Because the northwest-corner and the intuitive lowest-cost

� FIGURE C.4 Intuitive Lowest-Cost Solution to Arizona Plumbing Problem

From To

(D) Des Moines

(E) Evansville

(F) Fort Lauderdale

Warehouse requirement

(A) Albuquerque

(B) Boston

(C) Cleveland

300 200 200 700

300

300

100

100

100

200

$9

$8

$5 $4

$4

$7

$3

$3

$5

300

Factory capacity

Second, cross out column C after entering 100 units in this $3 cell because column C is satisfied.

First, cross out top row (D) after entering 100 units in $3 cell because row D is satisfied.

Finally, enter 300 units in the only remaining cell to complete the allocations.

Third, cross out row E and column B after entering 200 units in this $4 cell because a total of 300 units satisfies row E and column B.

572 PART 4 Quantitative Modules

Stepping-stone method An iterative technique for moving from an initial feasible solution to an optimal solution in the transportation method.

approaches are meant only to provide us with a starting point, we often will have to employ an additional procedure to reach an optimal solution.

THE STEPPING-STONE METHOD The stepping-stone method will help us move from an initial feasible solution to an optimal solu- tion. It is used to evaluate the cost effectiveness of shipping goods via transportation routes not currently in the solution. When applying it, we test each unused cell, or square, in the transporta- tion table by asking: What would happen to total shipping costs if one unit of the product (for example, one bathtub) was tentatively shipped on an unused route? We conduct the test as follows:

1. Select any unused square to evaluate. 2. Beginning at this square, trace a closed path back to the original square via squares that are

currently being used (only horizontal and vertical moves are permissible). You may, how- ever, step over either an empty or an occupied square.

3. Beginning with a plus ( ) sign at the unused square, place alternating minus signs and plus signs on each corner square of the closed path just traced.

4. Calculate an improvement index by first adding the unit-cost figures found in each square containing a plus sign and then by subtracting the unit costs in each square containing a minus sign.

5. Repeat steps 1 through 4 until you have calculated an improvement index for all unused squares. If all indices computed are greater than or equal to zero, you have reached an optimal solution. If not, the current solution can be improved further to decrease total shipping costs.

Example C3 illustrates how to use the stepping-stone method to move toward an optimal solu- tion. We begin with the northwest-corner initial solution developed in Example C1.

+

LO2: Solve a problem with the stepping-stone method

EXAMPLE C3 � Checking unused routes with the stepping-stone method

Arizona Plumbing wants to evaluate unused shipping routes.

APPROACH � Start with Example C1’s Figure C.3 and follow the 5 steps listed above. As you can see, the four currently unassigned routes are Des Moines to Boston, Des Moines to Cleveland, Evansville to Cleveland, and Fort Lauderdale to Albuquerque.

SOLUTION � Steps 1 and 2. Beginning with the Des Moines–Boston route, first trace a closed path using only currently occupied squares (see Figure C.5). Place alternating plus and minus signs in the corners of this path. In the upper-left square, for example, we place a minus sign because we have subtracted 1 unit from the original 100. Note that we can use only squares currently used for shipping to turn the corners of the route we are tracing. Hence, the path Des Moines–Boston to Des Moines–Albuquerque to Fort Lauderdale–Albuquerque to Fort Lauderdale–Boston to Des Moines–Boston would not be acceptable because the Fort Lauderdale–Albuquerque square is empty. It turns out that only one closed route exists for each empty square. Once this one closed path is identi- fied, we can begin assigning plus and minus signs to these squares in the path.

Step 3. How do we decide which squares get plus signs and which squares get minus signs? The answer is simple. Because we are testing the cost-effectiveness of the Des Moines–Boston shipping route, we try shipping 1 bathtub from Des Moines to Boston. This is 1 more unit than we were sending between the two cities, so place a plus sign in the box. However, if we ship 1 more unit than before from Des Moines to Boston, we end up sending 101 bathtubs out of the Des Moines factory. Because the Des Moines factory’s capacity is only 100 units, we must ship 1 bathtub less from Des Moines to Albuquerque. This change prevents us from violating the capacity constraint.

To indicate that we have reduced the Des Moines–Albuquerque shipment, place a minus sign in its box. As you continue along the closed path, notice that we are no longer meeting our Albuquerque warehouse requirement for 300 units. In fact, if we reduce the Des Moines–Albuquerque shipment to 99 units, we must increase the Evansville–Albuquerque load by 1 unit, to 201 bathtubs. Therefore, place a plus sign in that box to indicate the increase. You may also observe that those squares in which we turn a corner (and only those squares) will have plus or minus signs.

Finally, note that if we assign 201 bathtubs to the Evansville–Albuquerque route, then we must reduce the Evansville–Boston route by 1 unit, to 99 bathtubs, to maintain the Evansville factory’s capacity constraint of 300 units. To account for this reduction, we thus insert a minus sign in the Evansville–Boston box. By so doing, we have balanced supply limitations among all four routes on the closed path.

Module C Transportation Models 573

Step 4. Compute an improvement index for the Des Moines–Boston route by adding unit costs in squares with plus signs and subtracting costs in squares with minus signs.

This means that for every bathtub shipped via the Des Moines–Boston route, total transportation costs will increase by $3 over their current level.

Let us now examine the unused Des Moines–Cleveland route, which is slightly more difficult to trace with a closed path (see Figure C.6). Again, notice that we turn each corner along the path only at squares on the existing route. Our path, for example, can go through the Evansville–Cleveland box but cannot turn a corner; thus we cannot place a plus or minus sign there. We may use occupied squares only as stepping-stones:

Des Moines – Cleveland index = $3 - $5 + $8 - $4 + $7 - $5 = + $4

Des Moines – Boston index = $4 - $5 + $8 - $4 = + $3

Result of proposed shift in allocation = 1 $4 – 1 $5 + 1 $8 – 1 $4 = + $3

Evaluation of Des Moines to Boston square

From To

(D) Des Moines

(E) Evansville

(F) Fort Lauderdale

$9

$3

(A) Albuquerque

(B) Boston

(C) Cleveland

$3

Factory capacity

Warehouse requirement 300 200 200 700

300

300

100

200

100

100

100

200

$5

$8 $4

$7 $5

$4Start

201 200

$8 99 $4

99 $5 1 $4100

100

� � ��

� FIGURE C.5 Stepping-Stone Evaluation of Alternative Routes for Arizona Plumbing

From To

(D) Des Moines

(E) Evansville

(F) Fort Lauderdale

$9

(A) Albuquerque

(B) Boston

(C) Cleveland

$3

Warehouse requirement 300 200 200 700

300

300

100

200

100

100

100

200

$5

$7 $5

$4 Start $3

$8 $4

Factory capacity

� FIGURE C.6 Testing Des Moines to Cleveland

574 PART 4 Quantitative Modules

Again, opening this route fails to lower our total shipping costs. Two other routes can be evaluated in a similar fashion:

INSIGHT � Because this last index is negative, we can realize cost savings by using the (currently unused) Fort Lauderdale–Albuquerque route.

LEARNING EXERCISE � What would happen to total cost if Arizona used the shipping route from Des Moines to Cleveland? [Answer: Total cost of the current solution would increase by $400.]

RELATED PROBLEMS � C.1c, C.3c, C.7, C.8, C.10, C.13, C.15, C.16, C.17

EXCEL OM Data File ModCExC3.xls can be found at www.pearsonhighered.com/heizer.

1Closed path = FA - FB + EB - EA2 Fort Lauderdale – Albuquerque index = $9 - $7 + $4 - $8 = – $2

1Closed path = EC - EB + FB - FC2 Evansville – Cleveland index = $3 - $4 + $7 - $5 = + $1

In Example C3, we see that a better solution is indeed possible because we can calculate a nega- tive improvement index on one of our unused routes. Each negative index represents the amount by which total transportation costs could be decreased if one unit was shipped by the source–destination combination. The next step, then, is to choose that route (unused square) with the largest negative improvement index. We can then ship the maximum allowable number of units on that route and reduce the total cost accordingly.

What is the maximum quantity that can be shipped on our new money-saving route? That quantity is found by referring to the closed path of plus signs and minus signs drawn for the route and then selecting the smallest number found in the squares containing minus signs. To obtain a new solution, we add this number to all squares on the closed path with plus signs and subtract it from all squares on the path to which we have assigned minus signs.

One iteration of the stepping-stone method is now complete. Again, of course, we must test to see if the solution is optimal or whether we can make any further improvements. We do this by evaluating each unused square, as previously described. Example C4 continues our effort to help Arizona Plumbing arrive at a final solution.

EXAMPLE C4 � Improvement indices

Arizona Plumbing wants to continue solving the problem.

APPROACH � Use the improvement indices calculated in Example C3. We found in Example C3 that the largest (and only) negative index is on the Fort Lauderdale–Albuquerque route (which is the route depicted in Figure C.7).

SOLUTION � The maximum quantity that may be shipped on the newly opened route, Fort Lauderdale–Albuquerque (FA), is the smallest number found in squares containing minus signs— in this case, 100 units. Why 100 units? Because the total cost decreases by $2 per unit shipped, we know we would like to ship the maximum possible number of units. Previous stepping-stone calcu- lations indicate that each unit shipped over the FA route results in an increase of 1 unit shipped from Evansville (E) to Boston (B) and a decrease of 1 unit in amounts shipped both from F to B (now 100 units) and from E to A (now 200 units). Hence, the maximum we can ship over the FA route is 100 units. This solution results in zero units being shipped from F to B. Now we take the following four steps:

1. Add 100 units (to the zero currently being shipped) on route FA. 2. Subtract 100 from route FB, leaving zero in that square (though still balancing the row total for F). 3. Add 100 to route EB, yielding 200. 4. Finally, subtract 100 from route EA, leaving 100 units shipped.

Note that the new numbers still produce the correct row and column totals as required. The new solu- tion is shown in Figure C.8.

Total shipping cost has been reduced by (100 units) ($2 saved per unit) = $200 and is now $4,000. This cost figure, of course, can also be derived by multiplying the cost of

*

shipping each unit by the number of units transported on its respective route, namely:

INSIGHT � Looking carefully at Figure C.8, however, you can see that it, too, is not yet optimal. Route EC (Evansville–Cleveland) has a negative cost improvement index of –$1.

LEARNING EXERCISE � Find the final solution for this route on your own. [Answer: Programs C.1 and C.2, at the end of this module, provide an Excel OM solution.]

RELATED PROBLEMS � C.4, C.6, C.7, C.8, C.10, C.13, C.15, C.16, C.17

Closed path = EC - EA + FA - FC.

1001$52 + 1001$82 + 2001$42 + 1001$92 + 2001$52 = $4,000.

From To

(D) Des Moines

(E) Evansville

(F) Fort Lauderdale

Warehouse demand

(A) Albuquerque

(B) Boston

(C) Cleveland

$3

300 200 200 700

300

300

100

200

100

100

200

$5

$7 $5

$4 $3

$8 $4

$9

100

Factory capacity

� FIGURE C.7 Transportation Table: Route FA

From To

(D) Des Moines

(E) Evansville

(F) Fort Lauderdale

Warehouse demand

(A) Albuquerque

(B) Boston

(C) Cleveland

$3

300 200 200 700

300

300

100100

100

100

200

200

$5

$7 $5

$4 $3

$8 $4

$9

Factory capacity

� FIGURE C.8 Solution at Next Iteration (Still Not Optimal)

AUTHOR COMMENT FA has a negative index:

FA (�9) to FB (�7) to EB (�4) to EA (�8) � �$2

SPECIAL ISSUES IN MODELING Demand Not Equal to Supply A common situation in real-world problems is the case in which total demand is not equal to total supply. We can easily handle these so-called unbalanced problems with the solution pro- cedures that we have just discussed by introducing dummy sources or dummy destinations. If total supply is greater than total demand, we make demand exactly equal the surplus by cre- ating a dummy destination. Conversely, if total demand is greater than total supply, we intro- duce a dummy source (factory) with a supply equal to the excess of demand. Because these units will not in fact be shipped, we assign cost coefficients of zero to each square on the dummy location. In each case, then, the cost is zero. Example C5 demonstrates the use of a dummy destination.

Dummy sources Artificial shipping source points created when total demand is greater than total supply to effect a supply equal to the excess of demand over supply.

AUTHOR COMMENT Let’s look at what happens

when two issues arise: an unbalanced problem

and degeneracy.

Dummy destinations Artificial destination points created when the total supply is greater than the total demand; they serve to equalize the total demand and supply.

Module C Transportation Models 575

576 PART 4 Quantitative Modules

EXAMPLE C5 � Adjusting for unequal supply and demand with a dummy column

Arizona Plumbing decides to increase the production in its Des Moines factory from 100 tubs to 250 bathtubs. This increases supply over demand and creates an unbalanced problem.

APPROACH � To reformulate this unbalanced problem, we refer back to the data presented in Example C1 and present the new matrix in Figure C.9. First, we use the northwest-corner rule to find the initial feasible solution. Then, once the problem is balanced, we can proceed to the solution in the normal way.

SOLUTION � Total cost = 2501$52 + 501$82 + 2001$42 + 501$32 + 1501$52 + 150102 = $3,350

From To

(D) Des Moines

(E) Evansville

(F) Fort Lauderdale

(A) Albuquerque

(B) Boston

(C) Cleveland

$3

Dummy

50

250

200

150

$7 $5

$4

$8 $4

$9

50

Factory capacity

Warehouse requirement 300 200 200 850

300

300

250

New Des Moines capacity

150

150

$5 $3

0

0

0

� FIGURE C.9 Northwest-Corner Rule with Dummy

INSIGHT � Excel OM and POM for Windows software automatically perform the balance for you. But if you are solving by hand, be careful to decide first whether a dummy row (source) or a dummy column (destination) is needed.

LEARNING EXERCISE � Arizona instead increases Des Moines’s capacity to 350 tubs. Does the initial northwest-corner solution change? [Answer: Yes, now

]

RELATED PROBLEMS � C.5, C.9, C.14

EXCEL OM Data File ModCExC5.xls can be found at www.pearsonhighered.com/heizer.

F – C = 50, F – Dummy = 250. Cost = $3,000.E – B = 150, E – C = 150, D – A = 300, D – B = 50,

Degeneracy To apply the stepping-stone method to a transportation problem, we must observe a rule about the number of shipping routes being used: The number of occupied squares in any solution (ini- tial or later) must be equal to the number of rows in the table plus the number of columns minus 1. Solutions that do not satisfy this rule are called degenerate.

Degeneracy occurs when too few squares or shipping routes are being used. As a result, it becomes impossible to trace a closed path for one or more unused squares. The Arizona Plumbing problem we just examined was not degenerate, as it had 5 assigned routes (3 rows or factories columns or warehouses ).

To handle degenerate problems, we must artificially create an occupied cell: That is, we place a zero or a very small amount (representing a fake shipment) in one of the unused squares and then treat that square as if it were occupied. Remember that the chosen square must be in such a posi- tion as to allow all stepping-stone paths to be closed. We illustrate this procedure in Example C6.

- 1+ 3

LO3: Balance a transportation problem

Degeneracy An occurrence in transportation models in which too few squares or shipping routes are being used, so that tracing a closed path for each unused square becomes impossible.

Martin Shipping Company has three warehouses from which it supplies its three major retail customers in San Jose. Martin’s shipping costs, warehouse supplies, and customer demands are presented in the transportation table in Figure C.10. It wants to make an initial shipping assignment.

EXAMPLE C6 � Dealing with degeneracy

Module C Transportation Models 577

APPROACH � To make the initial shipping assignments in that table, we apply the northwest- corner rule.

SOLUTION � The initial solution is degenerate because it violates the rule that the number of used squares must equal the number of rows plus the number of columns minus 1. To correct the prob- lem, we may place a zero in the unused square that permits evaluation of all empty cells. Some exper- imenting may be needed because not every cell will allow tracing a closed path for the remaining cells. Also, we want to avoid placing the 0 in a cell that has a negative sign in a closed path. No reallocation will be possible if we do this.

For this example, we try the empty square that represents the shipping route from Warehouse 2 to Customer 1. Now we can close all stepping-stone paths and compute improvement indices.

INSIGHT � We must always check the unused squares in a transportation solution to make sure the Number of rows Number of columns 1 = Number of occupied squares.

LEARNING EXERCISES � Explain why the “zero” cannot be placed in the Warehouse 3–Customer 1 square. [Answer: The route, Warehouse 1–Customer 2, cannot be closed now.] Why did this problem become degenerate? [Answer: Our first assignment, 100 units to the Warehouse 1–Customer 1 cell, fully met both the first row and first columns’ needs in one cell.]

RELATED PROBLEMS � C.11, C.12

EXCEL OM Data File ModCExC6.xls can be found at www.pearsonhighered.com/heizer.

-+

From To

Warehouse 1

Warehouse 2

Warehouse 3

Customer demand

Customer 1

Customer 2

Customer 3

Warehouse supply

100 100 100 300

80

120

100

0

100

100

80

$8

$10 $7

$2 $6

$10 $9

$7

20

$9

� FIGURE C.10 Martin’s Northwest-Corner Rule

LO4: Solve a problem with degeneracy

The transportation model, a form of linear programming, is used to help find the least-cost solutions to systemwide ship- ping problems. The northwest-corner method (which begins in the upper-left corner of the transportation table) or the intuitive lowest-cost method may be used for finding an initial feasible solution. The stepping-stone algorithm is then used for finding optimal solutions. Unbalanced problems are those in which the total demand and total supply are not

equal. Degeneracy refers to the case in which the number of rows + the num- ber of columns – 1 is not equal to the number of occupied squares. The trans- portation model approach is one of the four location models described earlier in Chapter 8. Additional solution techniques are presented in Tutorial 4 at our free website, www.pearsonhighered.com/heizer.

MODULE SUMMARY

Key Terms Transportation modeling (p. 568) Northwest-corner rule (p. 570) Intuitive method (p. 571)

Stepping-stone method (p. 572) Dummy sources (p. 575)

Dummy destinations (p. 575) Degeneracy (p. 576)

578 PART 4 Quantitative Modules

Using Software to Solve Transportation Problems Excel, Excel OM, and POM for Windows may all be used to solve transportation problems. Excel uses Solver, which requires that you enter your own constraints. Excel OM also uses Solver but is prestruc- tured so that you need enter only the actual data. POM for Windows similarly requires that only demand data, supply data, and shipping costs be entered.

X Using Excel OM Excel OM’s Transportation module uses Excel’s built-in Solver routine to find optimal solutions to trans- portation problems. Program C.1 illustrates the input data (from Arizona Plumbing) and total-cost formu- las. To reach an optimal solution, we must go to Excel’s Tools bar, request Solver, then select Solve. In Excel 2007, Solver is in the Analysis section of the Data tab. The output appears in Program C.2.

� PROGRAM C.1 Excel OM Input Screen and Formulas, Using Arizona Plumbing Data

P Using POM for Windows The POM for Windows Transportation module can solve both maximization and minimization problems by a variety of methods. Input data are the demand data, supply data, and unit shipping costs. See Appendix IV for further details.

Enter the origin and destination names, the shipping costs, and the total supply and demand figures.

Our target cell is the total cost cell (B21), which we wish to minimize by changing the shipment cells (B16 through D18). The constraints ensure that the number shipped is equal to the number demanded and that we don’t ship more units than we have on hand.

The total shipments to and from each location are calculated here.

These are the cells in which Solver will place the shipments.

In Excel 2007, Solver is in the Analysis section of the Data tab. In the prior Excel version Solver is on the Tools menu. If Solver is not available please visit www.prenhall.com/weiss.

Nonnegativity constaints have been added through the Options button

The total cost is created here by multiplying the data table by the shipment table using the SUMPRODUCT function.

Module C Transportation Models 579

� PROGRAM C.2 Output from Excel OM with Optimal Solution to Arizona Plumbing Problem

Solved Problems Virtual Office Hours help is available at www.myomlab.com

pertinent production and distribution costs as well as plant capac- ities and distribution demands.

Which of the new locations, in combination with the exist- ing plants and distribution centers, yields a lower cost for the firm?

� SOLVED PROBLEM C.1

� TABLE C.3 Production Costs, Distribution Costs, Plant Capabilities, and Market Demands for Williams Auto Top Carriers

To Distribution Centers

Los New Normal Unit From Plants Angeles York Production Production Cost

Existing plants Atlanta $8 $5 600 $6 Tulsa $4 $7 900 $5

Proposed locations New Orleans $5 $6 500 $4 (anticipated) Houston $4 $6a 500 $3 (anticipated)

Forecast demand 800 1,200 2,000 aIndicates distribution cost (shipping, handling, storage) will be $6 per carrier between Houston and New York.

� SOLUTION To answer this question, we must solve two transportation prob- lems, one for each combination. We will recommend the location that yields a lower total cost of distribution and production in combination with the existing system.

We begin by setting up a transportation table that represents the opening of a third plant in New Orleans (see Figure C.11).

Then we use the northwest-corner method to find an initial solution. The total cost of this first solution is $23,600. Note that the cost of each individual “plant-to-distribution-center” route is found by adding the distribution costs (in the body of Table C.3) to the respective unit production costs (in the right-hand column of Table C.3). Thus, the total production-plus-shipping cost of one

Williams Auto Top Carriers currently maintains plants in Atlanta and Tulsa to supply auto top carriers to distribution centers in Los Angeles and New York. Because of expanding demand, Williams has decided to open a third plant and has narrowed the choice to one of two cities—New Orleans and Houston. Table C.3 provides

580 PART 4 Quantitative Modules

From To

Atlanta

Tulsa

New Orleans

Demand

Los Angeles New York Production capacity

800 1,200 2,000

500

900

600

200 700

$14

500

$9

$9

$11

$12

$10

600

� FIGURE C.11 Initial Williams Transportation Table for New Orleans

Because the firm can save $6 for every unit shipped from Atlanta to New York, it will want to improve the initial solution and send as many units as possible (600, in this case) on this currently unused route (see Figure C.12). You may also want to confirm that the total cost is now $20,000, a savings of $3,600 over the initial solution.

Next, we must test the two unused routes to see if their improvement indices are also negative numbers:

Index for Atlanta–Los Angeles

Index for New Orleans–Los Angeles

Because both indices are greater than zero, we have already reached our optimal solution for the New Orleans location. If Williams elects to open the New Orleans plant, the firm’s total production and distribution cost will be $20,000.

This analysis, however, provides only half the answer to Williams’s problem. The same procedure must still be followed to determine the minimum cost if the new plant is built in Houston. Determining this cost is left as a homework problem. You can help provide complete information and recommend a solution by solving Problem C.8 (in the Lecture Guide & Activities Manual ).

= $9 - $10 + $12 - $9 = $2

= $14 - $11 + $12 - $9 = $6

auto top carrier from Atlanta to Los Angeles is $14 ($8 for shipping plus $6 for production).

Is this initial solution (in Figure C.11) optimal? We can use the stepping-stone method to test it and compute improvement indices for unused routes:

Improvement index for Atlanta–New York route

Improvement index for New Orleans–Los Angeles route

= $2 - $91Tulsa – Los Angeles2 + $121Tulsa – New York2 - $10 1New Orleans – New York2

= + $9 1New Orleans – Los Angeles2

= – $6 + $91Tulsa – Los Angeles2 - $121Tulsa – New York2

= + $11 1Atlanta – New York2 - $14 1Atlanta – Los Angeles2

= $23,600 = $8,400 + $1,800 + $8,400 + $5,000

+ 1700 units * $122 + 1500 units * $102 Total cost = 1600 units * $142 + 1200 units * $92

From To

Atlanta

Tulsa

New Orleans

Demand

Los Angeles New York

800 1,200 2,000

500

900

600

800 100

$14

500

600

$9

$9

$11

$12

$10

Production capacity

� FIGURE C.12 Improved Transportation Table for Williams

Module C Transportation Models 581

� SOLVED PROBLEM C.2 structure the same decision analysis using linear programming (LP), which we explained in detail in Quantitative Module B.

� SOLUTION Using the data in Figure C.11 (p. 580), we write the objective function and constraints as follows:

Subject to:

XAtl,NY + XTul,NY + XNO,NY Ú 1200 1New York demand constraint2 XAtl,LA + XTul,LA + XNO,LA Ú 800 1Los Angeles demand constraint2 XNO,LA + XNO,NY … 500 1production capacity at New Orleans2 XTul,LA + XTul,NY … 900 1production capacity at Tulsa2 XAtl,LA + XAtl,NY … 600 1production capacity at Atlanta2

Minimize total cost = $14XAtl,LA + $11XAtl,NY + $9XTul,LA + $12XTul,NY + $9XNO,LA + $10XNO,NY

Bibliography

Balakrishnan, R., B. Render, and R. M. Stair. Managerial Decision Modeling with Spreadsheets, 2nd. ed. Upper Saddle River, NJ: Prentice Hall (2007).

Drezner, Z. Facility Location: A Survey of Applications and Methods. Secaucus, NJ: Springer-Verlag (1995).

Koksalan, M., and H. Sural. “Efes Beverage Group Makes Location and Distribution Decisions for Its Malt Plants.” Interfaces 29 (March–April 1999): 89–103.

Ping, J., and K. F. Chu. “A Dual-Matrix Approach to the Transportation Problem.” Asia-Pacific Journal of Operations Research 19 (May 2002): 35–46.

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall (2009).

Schmenner, R. W. “Look Beyond the Obvious in Plant Location.” Harvard Business Review 57, no. 1 (January–February 1979): 126–132.

Taylor, B. Introduction to Management Science, 10th ed., Upper Saddle River, NJ: Prentice Hall (2011).

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Consolidated Bottling (B): This case involves determining where to add bottling capacity.

In Solved Problem C.1, we examined the Williams Auto Top Carriers problem by using a transportation table. An alternative approach is to

This page intentionally left blank

Module Outline

Queuing Theory 584

Characteristics of a Waiting-Line System 585

Queuing Costs 589

The Variety of Queuing Models 590

Other Queuing Approaches 601

QUANTITATIVE MODULE

Waiting-Line Models

583

584 PART 4 Quantitative Modules

Paris’s EuroDisney, Tokyo’s Disney Japan, and the U.S.’s Disney World and Disneyland all have one feature in common— long lines and seemingly endless waits. However, Disney is one of the world’s leading companies in the scientific analysis of queuing theory. It analyzes queuing behaviors and can predict which rides will draw what length crowds. To keep visitors happy, Disney makes lines appear to be constantly moving forward, entertains people while they wait, and posts signs telling visitors how many minutes until they reach each ride.

LO1: Describe the characteristics of arrivals, waiting lines, and service systems 585

LO2: Apply the single-channel queuing model equations 590

LO3: Conduct a cost analysis for a waiting line 593

Module D Learning Objectives

LO4: Apply the multiple-channel queuing model formulas 593

LO5: Apply the constant-service-time model equations 597

LO6: Perform a limited-population model analysis 599

QUEUING THEORY The body of knowledge about waiting lines, often called queuing theory, is an important part of operations and a valuable tool for the operations manager. Waiting lines are a common situa- tion—they may, for example, take the form of cars waiting for repair at a Midas Muffler Shop, copying jobs waiting to be completed at a Kinko’s print shop, or vacationers waiting to enter the Space Mountain ride at Disney. Table D.1 lists just a few OM uses of waiting-line models.

Waiting-line models are useful in both manufacturing and service areas. Analysis of queues in terms of waiting-line length, average waiting time, and other factors helps us to understand ser- vice systems (such as bank teller stations), maintenance activities (that might repair broken machinery), and shop-floor control activities. Indeed, patients waiting in a doctor’s office and broken drill presses waiting in a repair facility have a lot in common from an OM perspective. Both use human and equipment resources to restore valuable production assets (people and machines) to good condition.

�TABLE D.1 Common Queuing Situations

Situation Arrivals in Queue Service Process Supermarket Grocery shoppers Checkout clerks at cash register Highway toll booth Automobiles Collection of tolls at booth Doctor’s office Patients Treatment by doctors and nurses Computer system Programs to be run Computer processes jobs Telephone company Callers Switching equipment forwards calls Bank Customers Transactions handled by teller Machine maintenance Broken machines Repair people fix machines Harbor Ships and barges Dock workers load and unload

Queuing theory A body of knowledge about waiting lines.

Waiting line (queue) Items or people in a line awaiting service.

Module D Waiting-Line Models 585

CHARACTERISTICS OF A WAITING-LINE SYSTEM In this section, we take a look at the three parts of a waiting-line, or queuing, system (as shown in Figure D.1):

1. Arrivals or inputs to the system: These have characteristics such as population size, behav- ior, and a statistical distribution.

2. Queue discipline, or the waiting line itself: Characteristics of the queue include whether it is limited or unlimited in length and the discipline of people or items in it.

3. The service facility: Its characteristics include its design and the statistical distribution of service times.

We now examine each of these three parts.

Arrival Characteristics The input source that generates arrivals or customers for a service system has three major characteristics:

1. Size of the arrival population 2. Behavior of arrivals 3. Pattern of arrivals (statistical distribution)

Size of the Arrival (Source) Population Population sizes are considered either unlim- ited (essentially infinite) or limited (finite). When the number of customers or arrivals on hand at any given moment is just a small portion of all potential arrivals, the arrival population is considered unlimited, or infinite. Examples of unlimited populations include cars arriving at a big-city car wash, shoppers arriving at a supermarket, and students arriving to register for classes at a large university. Most queuing models assume such an infinite arrival population. An example of a limited, or finite, population is found in a copying shop that has, say, eight copying machines. Each of the copiers is a potential “customer” that may break down and require service.

Pattern of Arrivals at the System Customers arrive at a service facility either according to some known schedule (for example, one patient every 15 minutes or one student every half hour) or else they arrive randomly. Arrivals are considered random when they are independent of one another and their occurrence cannot be predicted exactly. Frequently in queuing problems, the number of arrivals per unit of time can be estimated by a probability distribution known as

LO1: Describe the characteristics of arrivals, waiting lines, and service systems

AUTHOR COMMENT Every queuing system

has 3 parts.

Service facility

Arrivals to the system

Dave's Car Wash

Enter

In the system Exit the system

Exit

1st St.

3rd St.

2nd St.

1st St.

3rd St.

2nd St.

Queue (waiting line)Arrivals from the

general population . . .

Population of dirty cars

Ave. A

Ave. B

Ave. C

Ave. A

Ave. B

Ave. D

SW St.

SE St.

NW St.

NE St.

Exit the system

Arrival Characteristics • Size of arrival population • Behavior of arrivals • Statistical distribution of arrivals

Waiting-Line Characteristics Service Characteristics • Service design • Statistical distribution of service

• Limited vs. unlimited • Queue discipline

� FIGURE D.1 Three Parts of a Waiting Line, or Queuing System, at Dave’s Car Wash

Unlimited, or infinite, population A queue in which a virtually unlimited number of people or items could request the services, or in which the number of customers or arrivals on hand at any given moment is a very small portion of potential arrivals.

Limited, or finite, population A queue in which there are only a limited number of potential users of the service.

586 PART 4 Quantitative Modules

the Poisson distribution.1 For any given arrival time (such as 2 customers per hour or 4 trucks per minute), a discrete Poisson distribution can be established by using the formula:

(D-1)

where probability of x arrivals number of arrivals per unit of time average arrival rate

(which is the base of the natural logarithms)

With the help of the table in Appendix II, which gives the value of for use in the Poisson dis- tribution, these values are easy to compute. Figure D.2 illustrates the Poisson distribution for

and This means that if the average arrival rate is customers per hour, the probability of 0 customers arriving in any random hour is about 13%, probability of 1 customer is about 27%, 2 customers about 27%, 3 customers about 18%, 4 customers about 9%, and so on. The chances that 9 or more will arrive are virtually nil. Arrivals, of course, are not always Poisson distributed (they may follow some other distribution). Patterns, therefore, should be examined to make certain that they are well approximated by Poisson before that distribution is applied.

Behavior of Arrivals Most queuing models assume that an arriving customer is a patient customer. Patient customers are people or machines that wait in the queue until they are served and do not switch between lines. Unfortunately, life is complicated by the fact that people have been known to balk or to renege. Customers who balk refuse to join the waiting line because it is too long to suit their needs or interests. Reneging customers are those who enter the queue but then become impatient and leave without completing their transaction. Actually, both of these situations just serve to highlight the need for queuing theory and waiting-line analysis.

Waiting-Line Characteristics The waiting line itself is the second component of a queuing system. The length of a line can be either limited or unlimited. A queue is limited when it cannot, either by law or because of physi- cal restrictions, increase to an infinite length. A small barbershop, for example, will have only a limited number of waiting chairs. Queuing models are treated in this module under an assump- tion of unlimited queue length. A queue is unlimited when its size is unrestricted, as in the case of the toll booth serving arriving automobiles.

A second waiting-line characteristic deals with queue discipline. This refers to the rule by which customers in the line are to receive service. Most systems use a queue discipline known as

l = 2l = 4.l = 2

e–l

e = 2.7183 l = x =

P1x2 =

P1x2 = e–llx

x! for x = 0, 1, 2, 3, 4, Á

1When the arrival rates follow a Poisson process with mean arrival rate, the time between arrivals follows a negative expo- nential distribution with mean time between arrivals of The negative exponential distribution, then, is also representative of a Poisson process but describes the time between arrivals and specifies that these time intervals are completely random.

1>l. l,

Poisson distribution A discrete probability distribution that often describes the arrival rate in queuing theory.

0

Distribution for

0.05

P ro

b a b ili

ty

0.10

0.15

0.20

0.25

2 3 4 5 6 7 8 9

� = 2

PProbability = (x ) = e �

x !

−� x

X X0

Distribution for

0.05

P ro

b a b ili

ty

0.10

0.15

0.20

0.25

2 3 4 5 6 7 8 9

� = 4

10 1111

� FIGURE D.2 Two Examples of the Poisson Distribution for Arrival Times

AUTHOR COMMENT Notice that even though the mean arrival rate might be

per hour, there is still a small chance that as many as 9 customers arrive in an hour.

l = 2

Module D Waiting-Line Models 587

the first-in, first-out (FIFO) rule. In a hospital emergency room or an express checkout line at a supermarket, however, various assigned priorities may preempt FIFO. Patients who are criti- cally injured will move ahead in treatment priority over patients with broken fingers or noses. Shoppers with fewer than 10 items may be allowed to enter the express checkout queue (but are then treated as first-come, first-served). Computer-programming runs also operate under priority scheduling. In most large companies, when computer-produced paychecks are due on a specific date, the payroll program gets highest priority.2

Service Characteristics The third part of any queuing system are the service characteristics. Two basic properties are important: (1) design of the service system and (2) the distribution of service times.

Basic Queuing System Designs Service systems are usually classified in terms of their number of channels (e.g., number of servers) and number of phases (e.g., number of service stops that must be made). See Figure D.3. A single-channel queuing system, with one server, is

2The term FIFS (first-in, first-served) is often used in place of FIFO. Another discipline, LIFS (last-in, first-served), also called last-in, first-out (LIFO), is common when material is stacked or piled so that the items on top are used first.

First-in, first-out (FIFO) rule A queue discipline in which the first customers in line receive the first service.

Single-channel queuing system A service system with one line and one server.

Multichannel, multiphase system

Departures after service

Queue

Single-channel, single-phase system

Departures after service

Single-channel, multiphase system

Queue

Queue

Multichannel, single-phase system

Departures after service

Queue

Arrivals

Arrivals

Arrivals

Arrivals

Some college registrations

Most bank and post office service windows

A family dentist's office

Example

A McDonald's dual-window drive-through

Phase 1 service facility

Channel 1

Phase 1 service facility

Channel 2

Phase 2 service facility

Channel 1

Phase 2 service facility

Channel 2

Service facility

Departures after service

Service facility

Channel 3

Service facility

Channel 2

Service facility

Channel 1

Phase 1 service facility

Phase 2 service facility

� FIGURE D.3 Basic Queuing System Designs

588 PART 4 Quantitative Modules

1.0

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00

0.1

00

P ro

b a

b ili

ty t h a t se

rv ic

e t im

e ≥

t

Time t (hours)

Probability that service time is greater than t = e–μt for t ≥ 0

Average service rate, or average number served per time unit (μ) = 3 customers per hour ⇒ Average service time = 20 minutes (or 1/3 hour) per customer

μ = Average service rate (average number served per time unit) e = 2.7183 (the base of natural logarithms)

Average service rate (μ) = 1 customer per hour

� FIGURE D.4 Two Examples of the Negative Exponential Distribution for Service Times

AUTHOR COMMENT Although Poisson and

exponential distributions are commonly used to describe

arrival rates and service times, other probability distributions are valid in

some cases.

typified by the drive-in bank with only one open teller. If, on the other hand, the bank has several tellers on duty, with each customer waiting in one common line for the first available teller, then we would have a multiple-channel queuing system. Most banks today are multichannel service systems, as are most large barbershops, airline ticket counters, and post offices.

In a single-phase system, the customer receives service from only one station and then exits the system. A fast-food restaurant in which the person who takes your order also brings your food and takes your money is a single-phase system. So is a driver’s license agency in which the per- son taking your application also grades your test and collects your license fee. However, say the restaurant requires you to place your order at one station, pay at a second, and pick up your food at a third. In this case, it is a multiphase system. Likewise, if the driver’s license agency is large or busy, you will probably have to wait in one line to complete your application (the first service stop), queue again to have your test graded, and finally go to a third counter to pay your fee. To help you relate the concepts of channels and phases, Figure D.3 presents these four possible channel configurations.

Service Time Distribution Service patterns are like arrival patterns in that they may be either constant or random. If service time is constant, it takes the same amount of time to take care of each customer. This is the case in a machine-performed service operation such as an automatic car wash. More often, service times are randomly distributed. In many cases, we can assume that ran- dom service times are described by the negative exponential probability distribution.

Figure D.4 shows that if service times follow a negative exponential distribution, the probabil- ity of any very long service time is low. For example, when an average service time is 20 minutes (or three customers per hour), seldom if ever will a customer require more than 1.5 hours in the service facility. If the mean service time is 1 hour, the probability of spending more than 3 hours in service is quite low.

Measuring a Queue’s Performance Queuing models help managers make decisions that balance service costs with waiting-line costs. Queuing analysis can obtain many measures of a waiting-line system’s performance, including the following:

1. Average time that each customer or object spends in the queue. 2. Average queue length. 3. Average time that each customer spends in the system (waiting time plus service time). 4. Average number of customers in the system. 5. Probability that the service facility will be idle. 6. Utilization factor for the system. 7. Probability of a specific number of customers in the system.

Multiple-channel queuing system A service system with one waiting line but with several servers.

Single-phase system A system in which the customer receives service from only one station and then exits the system.

Multiphase system A system in which the customer receives services from several stations before exiting the system.

Negative exponential probability distribution A continuous probability distribution often used to describe the service time in a queuing system.

Module D Waiting-Line Models 589

QUEUING COSTS As described in the OM in Action box “Zero Wait Time Guarantee at this Michigan Hospital’s ER,” operations managers must recognize the trade-off that takes place between two costs: the cost of providing good service and the cost of customer or machine waiting time. Managers want queues that are short enough so that customers do not become unhappy and either leave without buying or buy but never return. However, managers may be willing to allow some waiting if it is balanced by a significant savings in service costs.

One means of evaluating a service facility is to look at total expected cost. Total cost is the sum of expected service costs plus expected waiting costs.

As you can see in Figure D.5, service costs increase as a firm attempts to raise its level of ser- vice. Managers in some service centers can vary capacity by having standby personnel and machines that they can assign to specific service stations to prevent or shorten excessively long lines. In grocery stores, for example, managers and stock clerks can open extra checkout coun- ters. In banks and airport check-in points, part-time workers may be called in to help. As the level of service improves (that is, speeds up), however, the cost of time spent waiting in lines

AUTHOR COMMENT The 2 costs we consider here are cost of servers and cost

of lost time waiting.

Other hospitals smirked when in 2000, Michigan’s Oakwood Healthcare chain rolled out an emergency room (ER) guarantee that promised a written apology and movie tickets to patients not seen by a doctor within 30 minutes. Even employees cringed at what sounded like a cheap marketing ploy.

But if you have visited an ER lately and watched some patients wait for hours on end—the official average wait is 47 minutes—you can understand why Oakwood’s patient satisfaction levels have soared. The 30-minute guarantee was such a huge success that fewer than 1% of the 191,000 ER patients asked for free tickets in 2002. The following year, Oakwood upped the stakes again, offering a 15-minute guarantee. Then, in 2006, Oakwood started its Zero Wait Program in the ERs. Patients who enter any Oakwood emergency department are immediately cared for by a healthcare professional.

Oakwood’s CEO even extended the ER guarantee to on- time surgery, 45-minute meal service orders, and other custom room services. “Medicine is a service business,” says Larry

Alexander, the head of an ER in Sanford, Florida. “And people are in the mindset of the fast-food industry.”

How did Oakwood make good on its promise to eliminate the ER queue? It first studied queuing theory, then reengineered its billing, records, and lab operations to drive down service time. Then, to improve service capability, Oakwood upgraded its technical staff. Finally, it replaced its ER physicians with a crew willing to work longer hours.

Sources: PR Newswire (November 21, 2006); and Crain’s Detroit Business (March 4, 2002): 1.

OM in Action � Zero Wait Time Guarantee at This Michigan Hospital’s ER

Minimum total cost

High level of service

Optimal service level

Cost of waiting time

Cost of providing service

Total expected cost

Cost

Low level of service

� FIGURE D.5 The Trade-Off Between Waiting Costs and Service Costs

AUTHOR COMMENT Different organizations value

their customers’ times differently.

590 PART 4 Quantitative Modules

decreases. (Refer to Figure D.5.) Waiting cost may reflect lost productivity of workers while tools or machines await repairs or may simply be an estimate of the cost of customers lost because of poor service and long queues. In some service systems (for example, an emergency ambulance service), the cost of long waiting lines may be intolerably high.

THE VARIETY OF QUEUING MODELS A wide variety of queuing models may be applied in operations management. We will introduce you to four of the most widely used models. These are outlined in Table D.2, and examples of each follow in the next few sections. More complex models are described in queuing theory textbooks3 or can be developed through the use of simulation (the topic of Module F). Note that all four queuing models listed in Table D.2 have three characteristics in common. They all assume:

1. Poisson distribution arrivals 2. FIFO discipline 3. A single-service phase

In addition, they all describe service systems that operate under steady, ongoing conditions. This means that arrival and service rates remain stable during the analysis.

Model A (M/M/1): Single-Channel Queuing Model with Poisson Arrivals and Exponential Service Times The most common case of queuing problems involves the single-channel, or single-server, wait- ing line. In this situation, arrivals form a single line to be serviced by a single station (see Fig- ure D.3 on p. 587). We assume that the following conditions exist in this type of system:

1. Arrivals are served on a first-in, first-out (FIFO) basis, and every arrival waits to be served, regardless of the length of the line or queue.

2. Arrivals are independent of preceding arrivals, but the average number of arrivals (arrival rate) does not change over time.

3. Arrivals are described by a Poisson probability distribution and come from an infinite (or very, very large) population.

4. Service times vary from one customer to the next and are independent of one another, but their average rate is known.

� TABLE D.2 Queuing Models Described in This Chapter

Model

Name (technical name in parentheses) Example

Number of

Channels

Number of

Phases

Arrival Rate

Pattern

Service Time

Pattern Population

Size Queue

Discipline

A Single-channel system (M/M/1)

Information counter at department store

Single Single Poisson Exponential Unlimited FIFO

B Multichannel (M/M/S)

Airline ticket counter

Multi- channel

Single Poisson Exponential Unlimited FIFO

C Constant service (M/D/1)

Automated car wash

Single Single Poisson Constant Unlimited FIFO

D Limited population (finite population)

Shop with only a dozen machines that might break

Single Single Poisson Exponential Limited FIFO

3See, for example John F. Shortle, et al. Fundamentals of Queuing Theory, 4th ed. New York: Wiley (2008).

LO2: Apply the single- channel queuing model equations

AUTHOR COMMENT This is the main section of Module D. We illustrate 4

important queuing models.

Module D Waiting-Line Models 591

4In queuing notation, the first letter refers to the arrivals (where M stands for Poisson distribution); the second letter refers to service (where M is again a Poisson distribution, which is the same as an exponential rate for service—and a D is a constant service rate); the third symbol refers to the number of servers. So an M/D/1 system (our Model C) has Poisson arrivals, constant service, and one server.

The giant Moscow McDonald’s boasts 900 seats, 800 workers, and $80 million in annual sales (vs. less than $2 million in a U.S. outlet). Americans would balk at the average waiting time of 45 minutes, but Russians are used to such long lines. McDonald’s represents good service in Moscow.

� TABLE D.3 Queuing Formulas for Model A: Single-Channel System, Also Called M/M/1

mean number of arrivals per time periodl = mean number of people or items served per time periodm = average number of units (customers) in the system (waiting and being served)

= l

m – l

Ls =

average time a unit spends in the system (waiting time plus service time)

= 1

m – l

Ws =

average number of units waiting in the queue

= l2

m1m – l2

Lq =

average time a unit spends waiting in the queue

= l

m1m – l2 = Lq

l

Wq =

utilization factor for the system

= l

m

r =

probability of 0 units in the system (that is, the service unit is idle)

= 1 - l

m

P0 =

probability of more than k units in the system, where n is the number of units in the system

= ¢l m ≤k+ 1Pn7k =

5. Service times occur according to the negative exponential probability distribution. 6. The service rate is faster than the arrival rate.

When these conditions are met, the series of equations shown in Table D.3 can be developed. Examples D1 and D2 illustrate how Model A (which in technical journals is known as the M/M/1 model) may be used.4

592 PART 4 Quantitative Modules

Probability of More Than k Cars in the System

k Pn 7 k = 12>32k + 1

0 .667 ; Note that this is equal to 1 - P0 = 1 - .33 = .667. 1 .444 2 .296 3 .198 ; Implies that there is a 19.8% chance that more than 3 cars are in the system. 4 .132 5 .088 6 .058 7 .039

INSIGHT � Recognize that arrival and service times are converted to the same rate. For example, a service time of 20 minutes is stated as an average rate of 3 mufflers per hour. It’s also important to differentiate between time in the queue and time in the system.

LEARNING EXERCISE � If cars/hour instead of the current 3 arrivals, what are the new values of and [Answer: 1 car, 30 min., .5 cars, 15 min., 50%, .50.]

RELATED PROBLEMS � D.1, D.2, D.3, D.4, D.6, D.7, D.8, D.9a–e, D.10, D.11a–c, D.12a–d.

EXCEL OM Data File ModDExD1.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL D.1 This example is further illustrated in Active Model D.1 at www.pearsonhighered.com/heizer.

P0?Wq,Lq,Ws,Ls, m = 4

Once we have computed the operating characteristics of a queuing system, it is often important to do an economic analysis of their impact. Although the waiting-line model

Tom Jones, the mechanic at Golden Muffler Shop, is able to install new mufflers at an average rate of 3 per hour (or about 1 every 20 minutes), according to a negative exponential distribution. Customers seeking this service arrive at the shop on the average of 2 per hour, following a Poisson distribution. They are served on a first-in, first-out basis and come from a very large (almost infinite) population of possible buyers.

We would like to obtain the operating characteristics of Golden Muffler’s queuing system.

APPROACH � This is a single-channel (M/M/1) system and we apply the formulas in Table D.3

SOLUTION �

= .33 probability there are 0 cars in the system

P0 = 1 - l

m = 1 -

2

3

= 66.6% of time mechanic is busy

r = l

m =

2

3

= 40-minute average waiting time per car

Wq = l

m(m - l) =

2

3(3 - 2) =

2

3 hour

= 1.33 car waiting in line, on average

Lq = l2

m1m - l2 =

22

313 - 22 =

4

3(1) =

4

3

= 1-hour average time in the system

Ws = 1

m - l =

1

3 - 2 = 1

= 2 cars in the system, on average

Ls = l

m - l =

2

3 - 2 =

2

1

m = 3 cars serviced per hour l = 2 cars arriving per hour

EXAMPLE D1 � A single-channel queue

Module D Waiting-Line Models 593

� EXAMPLE D2 Economic analysis of example D1

LO3: Conduct a cost analysis for a waiting line

Golden Muffler Shop’s owner is interested in cost factors as well as the queuing parameters computed in Example D1. He estimates that the cost of customer waiting time, in terms of customer dissatisfac- tion and lost goodwill, is $10 per hour spent waiting in line. Jones, the mechanic, is paid $7 per hour.

APPROACH � First, compute the average daily customer waiting time, then the daily salary for Jones, and finally the total expected cost.

SOLUTION � Because the average car has a hour wait and because there are approxi- mately 16 cars serviced per day (2 arrivals per hour times 8 working hours per day), the total number of hours that customers spend waiting each day for mufflers to be installed is:

Hence, in this case:

The only other major cost that Golden’s owner can identify in the queuing situation is the salary of Jones, the mechanic, who earns $7 per hour, or $56 per day. Thus:

This approach will be useful in Solved Problem D.2 on page 603.

INSIGHT � and are the two most important queuing parameters when it comes to cost analysis. Calculating customer wait times, we note, is based on average time waiting in the queue times the number of arrivals per hour times the number of hours per day. This is because this exam- ple is set on a daily basis. This is the same as using since

LEARNING EXERCISE � If the customer waiting time is actually $20 per hour and Jones gets a salary increase to $10 per hour, what are the total daily expected costs? [Answer: $293.34.]

RELATED PROBLEMS � D.12e–f, D.13, D.22, D.23, D.24

Lq = Wql.Lq, 1l2

1Wq2 WqLq

= $162.67 per day Total expected costs = $106.67 + $56

Customer waiting-time cost = $10 a10 2

3 b = $106.67 per day

2

3 1162 =

32

3 = 10

2

3 hour

1Wq2 2 3-

Model B (M/M/S): Multiple-Channel Queuing Model Now let’s turn to a multiple-channel queuing system in which two or more servers or channels are available to handle arriving customers. We still assume that customers awaiting service form one single line and then proceed to the first available server. Multichannel, single-phase waiting lines are found in many banks today: A common line is formed, and the customer at the head of the line proceeds to the first free teller. (Refer to Figure D.3 on p. 587 for a typical multichannel configuration.)

The multiple-channel system presented in Example D3 again assumes that arrivals follow a Poisson probability distribution and that service times are exponentially distributed. Service is first-come, first-served, and all servers are assumed to perform at the same rate. Other assump- tions listed earlier for the single-channel model also apply.

The queuing equations for Model B (which also has the technical name M/M/S) are shown in Table D.4. These equations are obviously more complex than those used in the single- channel model; yet they are used in exactly the same fashion and provide the same type of information as the simpler model. (Note: The POM for Windows and Excel OM software described later in this chapter can prove very useful in solving multiple-channel, as well as other, queuing problems.)

LO4: Apply the multiple- channel queuing model formulas

described previously is valuable in predicting potential waiting times, queue lengths, idle times, and so on, it does not identify optimal decisions or consider cost factors. As we saw earlier, the solution to a queuing problem may require management to make a trade-off between the increased cost of providing better service and the decreased waiting costs derived from providing that service.

Example D2 examines the costs involved in Example D1.

594 PART 4 Quantitative Modules

The probability that there are zero people or units in the system is:

The average number of people or units in the system is:

The average time a unit spends in the waiting line and being serviced (namely, in the system) is:

The average number of people or units in line waiting for service is:

The average time a person or unit spends in the queue waiting for service is:

Wq = Ws - 1

m = Lq

l

Lq = Ls - l

m

Ws = m1l/m2M

1M - 12!1Mm - l22 P0 +

1

m = Ls l

Ls = lm1l/m2M

1M - 12!1Mm - l22 P0 +

l

m

P0 = 1B aM- 1

n= 0

1

n! a l

m b nR + 1

M! a l

m b M Mm

Mm - l

for Mm 7 l

m = average service rate at each channel l = average arrival rate M = number of channels open

At this Costco in Washington state: To shorten queues, each register is staffed with two servers. This approach, along with new checkout technology, has enabled Costco to increase from 37 to 45 customers per register each hour.

�TABLE D.4 Queuing Formulas for Model B: Multichannel System, Also Called M/M/S

Module D Waiting-Line Models 595

� EXAMPLE D3 A multiple-channel queue

We can summarize the characteristics of the two-channel model in Example D3 and compare them to those of the single-channel model in Example D1 as follows:

The increased service has a dramatic effect on almost all characteristics. For instance, note that the time spent waiting in line drops from 40 minutes to only 2.5 minutes.

Use of Waiting Line Tables Imagine the work a manager would face in dealing with or 5 channel waiting line models if a computer was not readily available. The arith-

metic becomes increasingly troublesome. Fortunately, much of the burden of manually examining M = 3, 4,

Single Channel Two Channels

P0 .33 .5 Ls 2 cars .75 car Ws 60 minutes 22.5 minutes Lq 1.33 cars .083 car Wq 40 minutes 2.5 minutes

The Golden Muffler Shop has decided to open a second garage bay and hire a second mechanic to handle installations. Customers, who arrive at the rate of about per hour, will wait in a single line until 1 of the 2 mechanics is free. Each mechanic installs mufflers at the rate of about per hour.

The company wants to find out how this system compares with the old single-channel waiting-line system.

APPROACH � Compute several operating characteristics for the channel system, using the equations in Table D.4, and compare the results with those found in Example D1.

SOLUTION �

Then:

INSIGHT � It is very interesting to see the big differences in service performance when an addi- tional server is added.

LEARNING EXERCISE � If per hour, instead of what are the new values for and [Answers: 0.6, .53 cars, 16 min, .033 cars, 1 min.]

RELATED PROBLEMS � D.7h, D.9f, D.11d, D.15, D.20

EXCEL OM Data File ModDExD3.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL D.2 This example is further illustrated in Active Model D.2 at www.pearsonhighered.com/heizer.

Wq?P0, Ls, Ws, Lq, m = 3,m = 4

= 2.5 minutes average time a car spends in the queue (waiting)

Wq = Lq

l =

.083

2 = .0415 hour

= .083 average number of cars in the queue (waiting)

Lq = Ls - l

m =

3

4 -

2

3 =

9

12 -

8

12 =

1

12

= 22.5 minutes average time a car spends in the system

Ws = Ls l

= 3/4

2 =

3

8 hour

= .75 average number of cars in the system

Ls = 12213212/322

1!32132 - 242 a

1

2 b +

2

3 =

8 / 3

16 a

1

2 b +

2

3 =

3

4

= .5 probability of zero cars in the system

= 1

1 + 2

3 +

1

2 a

4

9 ba

6

6 – 2 b

= 1

1 + 2

3 +

1

3

= 1

2

P0 = 1Ba1

n= 0

1

n! a

2

3 b nR + 1

2! a

2

3 b

2 2132

2132 - 2

M = 2

m = 3 l = 2

596 PART 4 Quantitative Modules

Poisson Arrivals, Exponential Service Times Number of Service Channels, M

r 1 2 3 4 5

.10 .0111 .15 .0264 .0008 .20 .0500 .0020 .25 .0833 .0039 .30 .1285 .0069 .35 .1884 .0110 .40 .2666 .0166 .45 .3681 .0239 .0019 .50 .5000 .0333 .0030 .55 .6722 .0449 .0043 .60 .9000 .0593 .0061 .65 1.2071 .0767 .0084 .70 1.6333 .0976 .0112 .75 2.2500 .1227 .0147 .80 3.2000 .1523 .0189 .85 4.8166 .1873 .0239 .0031 .90 8.1000 .2285 .0300 .0041 .95 18.0500 .2767 .0371 .0053

1.0 .3333 .0454 .0067 1.2 .6748 .0904 .0158 1.4 1.3449 .1778 .0324 .0059 1.6 2.8444 .3128 .0604 .0121 1.8 7.6734 .5320 .1051 .0227 2.0 .8888 .1739 .0398 2.2 1.4907 .2770 .0659 2.4 2.1261 .4305 .1047 2.6 4.9322 .6581 .1609 2.8 12.2724 1.0000 .2411 3.0 1.5282 .3541 3.2 2.3856 .5128 3.4 3.9060 .7365 3.6 7.0893 1.0550 3.8 16.9366 1.5184 4.0 2.2164 4.2 3.3269 4.4 5.2675 4.6 9.2885 4.8 21.6384

Alaska National Bank is trying to decide how many drive-in teller windows to open on a busy Saturday. CEO Ted Eschenbach estimates that customers arrive at a rate of about per hour, and that each teller can service about customers per hour.

APPROACH � Ted decides to use Table D.5 to compute and

SOLUTION � The ratio is Turning to the table, under Ted sees that if only service window is open, the average number of customers in line will be 8.1. If two windows are open, drops to .2285 customers, to .03 for tellers, and to .0041 for tellers. Adding more open windows at this point will result in an average queue length of 0.

M = 4M = 3Lq M = 1

r = .90,r = l>m = 1820 = .90.

Wq.Lq

m = 20 l = 18

EXAMPLE D4 � Use of waiting line tables

multiple channel queues can be avoided by using Table D.5. This table, the result of hundreds of computations, represents the relationship between three things: (1) a ratio we call ([rho] which is simple to find—it’s just ), (2) number of service channels open, and (3) the average number of customers in the queue, Lq (which is what we’d like to find). For any combination of the ratio and or 5 open service channels, you can quickly look in the body of the table to read off the appropriate value for

Example D4 illustrates the use of Table D.5. Lq.

M = 1, 2, 3, 4,r

l>mr

�TABLE D.5 Values of Lq for M = 1 – 5 Service Channels and Selected Values of R � L/M

Long check-in lines (left photo) such as at Los Angeles International (LAX) are a common airport sight. This is an M/M/S model— passengers wait in a single queue for one of several agents. But at Anchorage International Airport (right photo), Alaska Air has jettisoned the traditional wall of ticket counters. Instead, 1.2 million passengers per year use self-service check-in machines and staffed “bag drop” stations. Looking nothing like a typical airport, the new system doubled the airline’s check-in capacity, and cut staff needs in half, all while speeding travelers through in less than 15 minutes, even during peak hours.

Module D Waiting-Line Models 597

It is also a simple matter to compute the average waiting time in the queue, since When one channel is open, Wq � 8.1 customers/(18 customers per hour) � .45 hours � 27 minutes waiting time; when two tellers are open, Wq � .2285 customers/(18 customers per hour) � .0127 hours and so on.

INSIGHT � If a computer is not readily available, Table D.5 makes it easy to find and to then compute Table D.5 is especially handy to compare for different numbers of servers (M).

LEARNING EXERCISE � The number of customers arriving on a Thursday afternoon at Alaska National is 15/hour. The service rate is still 20 customers/hour. How many people are in the queue if there are 1, 2, or 3 servers? [Answer: 2.25, .1227, .0147.]

RELATED PROBLEM � D.5

LqWq. Lq

� 34 minute;

Wq = Lq>l.Wq,

You might also wish to check the calculations in Example D3 against tabled values just to practice the use of Table D.5. You may need to interpolate if your exact value is not found in the first column. Other common operating characteristics besides are published in tabular form in queuing theory textbooks.

Model C (M/D/1): Constant-Service-Time Model Some service systems have constant, instead of exponentially distributed, service times. When customers or equipment are processed according to a fixed cycle, as in the case of an automatic car wash or an amusement park ride, constant service times are appropriate. Because constant rates are certain, the values for and are always less than they would be in Model A, which has variable service rates. As a matter of fact, both the average queue length and the average waiting time in the queue are halved with Model C. Constant-service-model formulas are given in Table D.6. Model C also has the technical name M/D/1 in the literature of queuing theory.

WsLq, Wq, Ls,

Lq

LO5: Apply the constant-service-time model equations

598 PART 4 Quantitative Modules

Inman Recycling, Inc., collects and compacts aluminum cans and glass bottles in Reston, Louisiana. Its truck drivers currently wait an average of 15 minutes before emptying their loads for recycling. The cost of driver and truck time while they are in queues is valued at $60 per hour. A new automated com- pactor can be purchased to process truckloads at a constant rate of 12 trucks per hour (that is, 5 minutes per truck). Trucks arrive according to a Poisson distribution at an average rate of 8 per hour. If the new compactor is put in use, the cost will be amortized at a rate of $3 per truck unloaded.

APPROACH � CEO Tony Inman hires a summer college intern to conduct an analysis to evaluate the costs versus benefits of the purchase. The intern uses the equation for in Table D.6.

SOLUTION �

INSIGHT � Constant service times, usually attained through automation, help control the vari- ability inherent in service systems. This can lower average queue length and average waiting time. Note the 2 in the denominator of the equations for and in Table D.6.

LEARNING EXERCISE � With the new constant-service-time system, what are the average waiting time in the queue, average number of trucks in the system, and average waiting time in the sys- tem? [Answer: 0.0833 hours, 1.33, 0.1667 hours.]

RELATED PROBLEMS � D.14, D.16, D.21

EXCEL OM Data File ModDExD5.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL D.3 This example is further illustrated in Active Model D.3 at www.pearsonhighered.com/heizer.

WqLq

New savings = $ 7/trip Cost of new equipment amortized: = $ 3/trip Savings with new equipment = $151current system2 – $51new system2 = $10/trip

Waiting cost/trip with new compactor = 11/12 hr wait21$60/hr cost2 = $5/trip

Average waiting time in queue = Wq = l

2m1m - l2 =

8

21122112 - 82 =

1

12 hr

New system: l = 8 trucks/hr arriving m = 12 trucks/hr served Current waiting cost/trip = 11/4 hr waiting now21$60/hr cost2 = $15>trip

Wq

Little’s Law A practical and useful relationship in queuing for any system in a steady state is called Little’s Law. A steady state exists when a queuing system is in its normal operating condition (e.g., after customers waiting at the door when a business opens in the morning are taken care of). Little’s Law can be written as either:

(D-2)

or:

(D-3)Lq = lWq 1which is the same as Wq = Lq/l2

L = lW 1which is the same as W = L/l2

EXAMPLE D5 � A constant-service model

Example D5 gives a constant-service-time analysis.

Average length of queue: Lq = l2

2m1m – l2

Average waiting time in queue: Wq = l

2m1m – l2

Average number of customers in system: Ls = Lq + l

m

Average time in system: Ws = Wq + 1

m

TABLE D.6 � Queuing Formulas for Model C: Constant Service, Also Called M/D/1

Module D Waiting-Line Models 599

LO6: Perform a limited- population model analysis

5Limited, or finite, queuing tables are available to handle arrival populations of up to 250. Although there is no definite number that we can use as a dividing point between limited and unlimited populations, the general rule of thumb is this: If the number in the queue is a significant proportion of the arrival population, use a limited population queuing model. For a complete set of N-values, see L. G. Peck and R. N. Hazelwood, Finite Queuing Tables (New York: Wiley, 1958).

Service factor: X = T

T + U Average number running: J = NF11 - X2

Average number waiting: L = N11 - F2 Average number being serviced: H = FNX

Average waiting time: W = L1T + U2 N - L

= T11 - F2 XF

Number in population: N = J + L + H

Notation D = probability that a unit will have to wait in queue N = number of potential customers F = efficiency factor T = average service time H = average number of units being served U = average time between unit service J = average number running requirements L = average number of units waiting for service W = average time a unit waits in line M = number of service channels X = service factor

Source: Based on L. G. Peck and R. N. Hazelwood, Finite Queuing Tables (New York: Wiley, 1958).

� TABLE D.7 Queuing Formulas and Notation for Model D: Limited-Population Formulas

The advantage of these formulas is that once two of the parameters are known, the other one can easily be found. This is important because in certain waiting-line situations, one of these might be easier to determine than the other.

Little’s Law is also important because it makes no assumptions about the probability distribu- tions for arrivals and service times, the number of servers, or service priority rules. The law applies to all the queuing systems discussed in this module, except the limited-population model, which we discuss next.

Model D: Limited-Population Model When there is a limited population of potential customers for a service facility, we must con- sider a different queuing model. This model would be used, for example, if we were consider- ing equipment repairs in a factory that has 5 machines, if we were in charge of maintenance for a fleet of 10 commuter airplanes, or if we ran a hospital ward that has 20 beds. The limited- population model allows any number of repair people (servers) to be considered.

This model differs from the three earlier queuing models because there is now a dependent rela- tionship between the length of the queue and the arrival rate. Let’s illustrate the extreme situation: If your factory had five machines and all were broken and awaiting repair, the arrival rate would drop to zero. In general, then, as the waiting line becomes longer in the limited population model, the arrival rate of customers or machines drops.

Table D.7 displays the queuing formulas for the limited-population model. Note that they employ a different notation than Models A, B, and C. To simplify what can become time- consuming calculations, finite queuing tables have been developed that determine D and F. D represents the probability that a machine needing repair will have to wait in line. F is a waiting- time efficiency factor. D and F are needed to compute most of the other finite model formulas.

A small part of the published finite queuing tables is illustrated in this section. Table D.8 (on p. 601) provides data for a population of 5

To use Table D.8, we follow four steps:

1. Compute X (the service factor), where 2. Find the value of X in the table and then find the line for M (where M is the number of

service channels). 3. Note the corresponding values for D and F. 4. Compute L, W, J, H, or whichever are needed to measure the service system’s performance.

X = T/1T + U2.

N = 5.

Example D6 illustrates these steps.

600 PART 4 Quantitative Modules

6. The cost analysis follows:

Number of Technicians

Average Number Printers Down 1N - J2

Average Cost/Hr. for Downtime 1N - J21$120/hr2

Cost/Hr. for Technicians 1at $25/hr2

Total Cost/Hr.

1 .64 $76.80 $25.00 $101.80 2 .46 $55.20 $50.00 $105.20

INSIGHT � This analysis suggests that having only one technician on duty will save a few dollars per hour This may seem like a small amount, but it adds up to over $7,000 per year.

LEARNING EXERCISE � DOE has just replaced its printers with a new model that seems to break down after about 18 hours of use. Recompute the costs. [Answer: For and total For and total ]

RELATED PROBLEMS � D.17, D.18, D.19

EXCEL OM Data File ModDExD6.xls can be found at www.pearsonhighered.com/heizer.

cost/hr = $111.56.M = 2, F = .997, J = 4.487,cost/hr = $112.00. M = 1, F = .95, J = 4.275,

1$105.20 – $101.80 = $3.402.

This isn’t Disney World, where waits are made tolerable—or even fun— via amusements and entertainment. This long line of frustrated customers is the Chicago office of the Consulate of Mexico, where immigrants apply for ID cards that are considered legal documents. How could the principles in this module be used to improve this queuing system?

EXAMPLE D6 � A limited-population model

Past records indicate that each of the 5 massive laser computer printers at the U.S. Department of Energy (DOE), in Washington, DC, needs repair after about 20 hours of use. Breakdowns have been determined to be Poisson distributed. The one technician on duty can service a printer in an average of 2 hours, following an exponential distribution. Printer downtime costs $120 per hour. Technicians are paid $25 per hour. Should the DOE hire a second technician?

APPROACH � Assuming the second technician can also repair a printer in an average of 2 hours, we can use Table D.8 (because there are N = 5 machines in this limited population) to compare the costs of 1 versus 2 technicians.

SOLUTION � 1. First, we note that hours and hours.

2. Then, (close to .090 [to use for determining D and F]).

3. For server, and

4. For servers, and

5. The average number of printers working is For this is For it is J = 1521.998211 - .0912 = 4.54.M = 2,

J = 1521.960211 - .0912 = 4.36.M = 1, J = NF11 - X2.

F = .998.D = .044M = 2 F = .960.D = .350M = 1

X = T

T + U =

2

2 + 20 =

2

22 = .091

U = 20T = 2

� TABLE D.8 Finite Queuing Tables for a Population of N � 5*

X M D F X M D F X M D F X M D F X M D F

.012 1 .048 .999 1 .404 .945 1 .689 .801 .330 4 .012 .999 3 .359 .927

.019 1 .076 .998 .110 2 .065 .996 .210 3 .032 .998 3 .112 .986 .520 2 .779 .728

.025 1 .100 .997 1 .421 .939 2 .211 .973 2 .442 .904 1 .988 .384

.030 1 .120 .996 .115 2 .071 .995 1 .713 .783 1 .902 .583 .540 4 .085 .989

.034 1 .135 .995 1 .439 .933 .220 3 .036 .997 .340 4 .013 .999 3 .392 .917

.036 1 .143 .994 .120 2 .076 .995 2 .229 .969 3 .121 .985 2 .806 .708

.040 1 .159 .993 1 .456 .927 1 .735 .765 2 .462 .896 1 .991 .370

.042 1 .167 .992 .125 2 .082 .994 .230 3 .041 .997 1 .911 .569 .560 4 .098 .986

.044 1 .175 .991 1 .473 .920 2 .247 .965 .360 4 .017 .998 3 .426 .906

.046 1 .183 .990 .130 2 .089 .933 1 .756 .747 3 .141 .981 2 .831 .689

.050 1 .198 .989 1 .489 .914 .240 3 .046 .996 2 .501 .880 1 .993 .357

.052 1 .206 .988 .135 2 .095 .993 2 .265 .960 1 .927 .542 .580 4 .113 .984

.054 1 .214 .987 1 .505 .907 1 .775 .730 .380 4 .021 .998 3 .461 .895

.056 2 .018 .999 .140 2 .102 .992 .250 3 .052 .995 3 .163 .976 2 .854 .670 1 .222 .985 1 .521 .900 2 .284 .955 2 .540 .863 1 .994 .345

.058 2 .019 .999 .145 3 .011 .999 1 .794 .712 1 .941 .516 .600 4 .130 .981 1 .229 .984 2 .109 .991 .260 3 .058 .994 .400 4 .026 .977 3 .497 .883

.060 2 .020 .999 1 .537 .892 2 .303 .950 3 .186 .972 2 .875 .652 1 .237 .983 .150 3 .012 .999 1 .811 .695 2 .579 .845 1 .996 .333

.062 2 .022 .999 2 .115 .990 .270 3 .064 .994 1 .952 .493 .650 4 .179 .972 1 .245 .982 1 .553 .885 2 .323 .944 .420 4 .031 .997 3 .588 .850

.064 2 .023 .999 .155 3 .013 .999 1 .827 .677 3 .211 .966 2 .918 .608 1 .253 .981 2 .123 .989 .280 3 .071 .993 2 .616 .826 1 .998 .308

.066 2 .024 .999 1 .568 .877 2 .342 .938 1 .961 .471 .700 4 .240 .960 1 .260 .979 .160 3 .015 .999 1 .842 .661 .440 4 .037 .996 3 .678 .815

.068 2 .026 .999 2 .130 .988 .290 4 .007 .999 3 .238 .960 2 .950 .568 1 .268 .978 1 .582 .869 3 .079 .992 2 .652 .807 1 .999 .286

.070 2 .027 .999 .165 3 .016 .999 2 .362 .932 1 .969 .451 .750 4 .316 .944 1 .275 .977 2 .137 .987 1 .856 .644 .460 4 .045 .995 3 .763 .777

.075 2 .031 .999 1 .597 .861 .300 4 .008 .999 3 .266 .953 2 .972 .532 1 .294 .973 .170 3 .017 .999 3 .086 .990 2 .686 .787 .800 4 .410 .924

.080 2 .035 .998 2 .145 .985 2 .382 .926 1 .975 .432 3 .841 .739 1 .313 .969 1 .611 .853 1 .869 .628 .480 4 .053 .994 2 .987 .500

.085 2 .040 .998 .180 3 .021 .999 .310 4 .009 .999 3 .296 .945 .850 4 .522 .900 1 .332 .965 2 .161 .983 3 .094 .989 2 .719 .767 3 .907 .702

.090 2 .044 .998 1 .638 .836 2 .402 .919 1 .980 .415 2 .995 .470 1 .350 .960 .190 3 .024 .998 1 .881 .613 .500 4 .063 .992 .900 4 .656 .871

.095 2 .049 .997 2 .117 .980 .320 4 .010 .999 3 .327 .936 3 .957 .666 1 .368 .955 1 .665 .819 3 .103 .988 2 .750 .748 2 .998 .444

.100 2 .054 .997 .200 3 .028 .998 2 .422 .912 1 .985 .399 .950 4 .815 .838 1 .386 .950 .200 2 .194 .976 1 .892 .597 .520 4 .073 .991 3 .989 .631

.105 2 .059 .997

*See notation in Table D.7.

Module D Waiting-Line Models 601

OTHER QUEUING APPROACHES Many practical waiting-line problems that occur in service systems have characteristics like those of the four mathematical models already described. Often, however, variations of these specific cases are present in an analysis. Service times in an automobile repair shop, for example, tend to follow the normal probability distribution instead of the exponential. A college registra- tion system in which seniors have first choice of courses and hours over other students is an example of a first-come, first-served model with a preemptive priority queue discipline. A phys- ical examination for military recruits is an example of a multiphase system, one that differs from the single-phase models discussed earlier in this module. A recruit first lines up to have blood drawn at one station, then waits for an eye exam at the next station, talks to a psychiatrist at the third, and is examined by a doctor for medical problems at the fourth. At each phase, the recruit must enter another queue and wait his or her turn. Many models, some very complex, have been developed to deal with situations such as these.

AUTHOR COMMENT When the assumptions of the 4 models we just introduced do not hold true, there are other

approaches still available to us.

602 PART 4 Quantitative Modules

Queues are an important part of the world of operations man- agement. In this module, we describe several common queuing systems and present mathematical models for analyzing them.

The most widely used queuing models include Model A, the basic single-channel, single-phase system with Poisson arrivals and exponential service times; Model B, the multichannel equivalent of Model A; Model C, a constant-service-rate model; and Model D, a limited-population system. All four models allow for Poisson arrivals, first-in, first-out service, and a single-service phase. Typical operating characteristics we

examine include average time spent waiting in the queue and system, aver- age number of customers in the queue and system, idle time, and utilization rate.

A variety of queuing models exists for which all the assumptions of the traditional models need not be met. In these cases, we use more complex mathematical models or turn to a technique called simulation. The application of simulation to problems of queuing systems is addressed in Module F.

Key Terms

Queuing theory (p. 584) Waiting line (queue) (p. 584) Unlimited, or infinite, population (p. 585) Limited, or finite, population (p. 585)

Poisson distribution (p. 586) First-in, first-out (FIFO) rule (p. 587) Single-channel queuing system (p. 587) Multiple-channel queuing system (p. 588)

Single-phase system (p. 588) Multiphase system (p. 588) Negative exponential probability

distribution (p. 588)

MODULE SUMMARY

Using Software to Solve Queuing Problems

Both Excel OM and POM for Windows may be used to analyze all but the last two homework problems in the Lecture Guide & Activities Manual for this module.

X Using Excel OM Excel OM’s Waiting-Line program handles all four of the models developed in this module. Program D.1 illustrates our first model, the M/M/1 system, using the data from Example D1.

� PROGRAM D.1 Using Excel OM for Queuing Example D1’s (Golden Muffler Shop) data are illustrated in the M/M/1 model.

Sample Calculations

Probability =1–B7/B8 =B16*B$7/B$8 =B17*B$7/B$8

Cumulative Probability =1–B7/B8 =C16+B17 =C17+B18

Enter the arrival rate and service rate in column B. Be sure that you enter rates rather than times.

Calculating Parameters =B7/B8 =B7^2/(B8*(B8–B7)) =B7(B8–B7) =B7/(B8*(B8–B7)) =1/(B8–B7) =1 – E7

P Using POM For Windows There are several POM for Windows queuing models from which to select in that program’s Waiting-Line module. The program can include an economic analysis of cost data, and, as an option, you may display probabilities of various numbers of people/items in the system. See Appendix IV for further details.

Module D Waiting-Line Models 603

Solved Problems Virtual Office Hours help is available www.myomlab.com

� SOLVED PROBLEM D.1 Sid Das Brick Distributors currently employs 1 worker whose job is to load bricks on outgoing company trucks. An average of 24 trucks per day, or 3 per hour, arrive at the loading platform, according to a Poisson distribution. The worker loads them at a rate of 4 trucks per hour, following approximately the exponential distribution in his service times.

Das believes that adding an additional brick loader will sub- stantially improve the firm’s productivity. He estimates that a two- person crew loading each truck will double the loading rate ( ) from 4 trucks per hour to 8 trucks per hour. Analyze the effect on the queue of such a change and compare the results to those achieved with one worker. What is the probability that there will be more than 3 trucks either being loaded or waiting?

m

� SOLUTION

These results indicate that when only one loader is employed, the average truck must wait three quarters of an hour before it is loaded. Furthermore, there is an average of 2.25 trucks waiting in line to be loaded. This situation may be unacceptable to management. Note also the decline in queue size after the addition of a second loader.

Number of Brick Loaders

1 2 Truck arrival rate ( )l 3/hr 3/hr Loading rate ( )m 4/hr 8/hr Average number in system ( )Ls 3 trucks .6 truck Average time in system ( )Ws 1 hr .2 hr Average number in queue ( )Lq 2.25 trucks .225 truck Average time in queue ( )Wq .75 hr .075 hr Utilization rate ( )r .75 .375 Probability system empty ( )P0 .25 .625

Probability of More than Trucks in Systemk

Probability n 7 k k One Loader Two Loaders

0 .75 .375 1 .56 .141 2 .42 .053 3 .32 .020

� SOLVED PROBLEM D.2 Truck drivers working for Sid Das (see Solved Problem D.1) earn an average of $10 per hour. Brick loaders receive about $6 per hour. Truck drivers waiting in the queue or at the loading platform are drawing a salary but are productively idle and unable to gener- ate revenue during that time. What would be the hourly cost sav- ings to the firm if it employed 2 loaders instead of 1?

Referring to the data in Solved Problem D.1, we note that the average number of trucks in the system is 3 when there is only 1 loader and 6 when there are 2 loaders.

� SOLUTION

Number of Loaders

1 2

Truck driver idle time costs * 1Hourly rate24 = 1321$102 = [1Average number of trucks2

$30 $ 6 = 1.621$102 Loading costs 6 12 = 1221$62 Total expected cost per hour $36 $18

The firm will save $18 per hour by adding another loader.

� SOLVED PROBLEM D.3 Sid Das is considering building a second platform or gate to speed the process of loading trucks. This system, he thinks, will be even more efficient than simply hiring another loader to help out on the first platform (as in Solved Problem D.1).

Assume that the worker at each platform will be able to load 4 trucks per hour each and that trucks will continue to arrive at the rate of 3 per hour. Then apply the appropriate equations to find the waiting line’s new operating conditions. Is this new approach indeed speedier than the other two that Das has considered?

604 PART 4 Quantitative Modules

� SOLUTION

Looking back at Solved Problem D.1, we see that although length of the queue and average time in the queue are lowest when a second platform is open, the average number of trucks in the system and average time spent waiting in the system are smallest when two workers are employed at a single platform. Thus, we would probably recommend not building a second platform.

Wq = .123

3 = .041 hr

Lq = .873 - 3/4 = .123

Ws = .873

3 = .291 hr

Ls = 314213/422

112!18 - 322 1.45452 +

3

4 = .873

= 1

1 + 3

4 +

1

2 a

3

4 b

2

a 8

8 - 3 b

= .4545

P0 = 1Ba1

n= 0

1

n! a

3

4 b nR + 1

2! a

3

4 b

2 2142

2142 - 3

� SOLVED PROBLEM D.4 St. Elsewhere Hospital’s cardiac care unit (CCU) has 5 beds, which are virtually always occupied by patients who have just undergone major heart surgery. Two registered nurses are on duty in the CCU in each of the three 8-hour shifts. About every 2 hours (following a Poisson distribution), one of the patients requires a nurse’s attention. The nurse will then spend an average of 30 min-

utes (exponentially distributed) assisting the patient and updating medical records regarding the problem and care provided.

Because immediate service is critical to the 5 patients, two important questions are: What is the average number of patients being attended by the nurses? What is the average time that a patient spends waiting for one of the nurses to arrive?

� SOLUTION

X = T

T + U =

30

30 + 120 = .20

U = 120 minutes T = 30 minutes M = 2 nurses N = 5 patients

From Table D.8 (p. 601), with and we see that:

= 30 (1 - .976) (.20)(.976)2

= 3.69 minutes

W = average waiting time for a nurse = T11 - F2 XF

= 1.97621521.202 = .98 L 1 patient at any given time H = average number being attended to = FNX F = .976

M = 2,X = .20

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this additional free case study: Pantry Shopper: The case requires the redesign of a checkout system for a supermarket.

Bibliography

Canonaco, P., et al. “A Queuing Network Model for the Management of Berth Crane Operations.” Computers & Operations Research 35, no. 8 (August 2008): 2432.

Cochran, J. K., and K. Roche. “A Queueing-Based Decision Support Methodology to Estimate Hospital Inpatient Bed Demand.” Journal of the Operational Research Society 59, no. 11 (November 2008): 1471–1483.

Gross, Donald, John F. Shortle, James M. Thompson, and Carl M. Harris. Fundamentals of Queuing Theory, 4th ed. New York: Wiley (2008).

Parlar, M., and M. Sharafali. “Dynamic Allocation of Airline Check-In Counters: A Queueing Optimization Problem.” Management Science 54, no. 8 (August 2008): 1410–1425.

Prabhu, N. U. Foundations of Queuing Theory. Dordecht, Netherlands: Kluwer Academic Publishers (1997).

Ramaswami, V., et al. “Ensuring Access to Emergency Services in the Presence of Long Internet Dial-Up Calls.” Interfaces 35, no. 5 (September–October 2005): 411–425.

Render, B., R. M. Stair, and R. Balakrishnan. Managerial Decision Modeling with Spreadsheets, 2nd ed. Upper Saddle River, NJ: Prentice Hall (2007).

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall (2009).

Stanford, D. A., E. Renouf, and V. C. McAlister. “Waiting for Liver Transplantation in Canada.” Health Care Management Science 11, no. 2 (June 2008): 196–208.

QUANTITATIVE MODULE

Learning Curves

Module Outline

What Is a Learning Curve? 606

Learning Curves in Services and Manufacturing 607

Applying the Learning Curve 608

Strategic Implications of Learning Curves 611

Limitations of Learning Curves 612

605

606 PART 4 Quantitative Modules

LO1: Define learning curve 607

LO2: Use the arithmetic concept to estimate times 608

LO3: Compute learning curve effects with the logarithmic and learning-curve coefficient approaches 609

Module E Learning Objectives

WHAT IS A LEARNING CURVE? Most organizations learn and improve over time. As firms and employees perform a task over and over, they learn how to perform more efficiently. This means that task times and costs decrease.

Learning curves are based on the premise that people and organizations become better at their tasks as the tasks are repeated. A learning curve graph (illustrated in Figure E.1) displays labor-hours per unit versus the number of units produced. From it we see that the time needed to produce a unit decreases, usually following a negative exponential curve, as the person or com-

Medical procedures such as heart surgery follow a learning curve. Research indicates that the death rate from heart transplants drops at a 79% learning curve, a learning rate not unlike that in many industrial settings. It appears that as doctors and medical teams improve with experience, so do your odds as a patient. If the death rate is halved every three operations, practice may indeed make perfect.

C o st

/ t im

e p

e r

re p e tit

io n

0 Number of repetitions (volume)

� FIGURE E.1 The Learning-Curve Effect States That Time per Repetition Decreases as the Number of Repetitions Increases

LO4: Describe the strategic implications of learning curves 611

Learning curves The premise that people and organizations get better at their tasks as the tasks are repeated; sometimes called experience curves.

pany produces more units. In other words, it takes less time to complete each additional unit a firm produces. However, we also see in Figure E.1 that the time savings in completing each sub- sequent unit decreases. These are the major attributes of the learning curve.

Learning curves were first applied to industry in a report by T. P. Wright of Curtis-Wright Corp. in 1936.1 Wright described how direct labor costs of making a particular airplane decreased with learning, a theory since confirmed by other aircraft manufacturers. Regardless of the time needed to produce the first plane, learning curves are found to apply to various cate- gories of air frames (e.g., jet fighters versus passenger planes versus bombers). Learning curves have since been applied not only to labor but also to a wide variety of other costs, including material and purchased components. The power of the learning curve is so significant that it plays a major role in many strategic decisions related to employment levels, costs, capacity, and pricing.

The learning curve is based on a doubling of production: That is, when production doubles, the decrease in time per unit affects the rate of the learning curve. So, if the learning curve is an 80% rate, the second unit takes 80% of the time of the first unit, the fourth unit takes 80% of the time of the second unit, the eighth unit takes 80% of the time of the fourth unit, and so forth. This principle is shown as:

(E-1)

where T � unit cost or unit time of the first unit L � learning curve rate n � number of times T is doubled

If the first unit of a particular product took 10 labor-hours, and if a 70% learning curve is pres- ent, the hours the fourth unit will take require doubling twice—from 1 to 2 to 4. Therefore, the formula is:

LEARNING CURVES IN SERVICES AND MANUFACTURING Different organizations—indeed, different products—have different learning curves. The rate of learning varies depending on the quality of management and the potential of the process and product. Any change in process, product, or personnel disrupts the learning curve. Therefore, caution should be exercised in assuming that a learning curve is continuing and permanent.

As you can see in Table E.1, industry learning curves vary widely. The lower the number (say 70% compared to 90%), the steeper the slope and the faster the drop in costs. By tradition, learn- ing curves are defined in terms of the complements of their improvement rates. For example, a 70% learning curve implies a 30% decrease in time each time the number of repetitions is dou- bled. A 90% curve means there is a corresponding 10% rate of improvement.

Stable, standardized products and processes tend to have costs that decline more steeply than others. Between 1920 and 1955, for instance, the steel industry was able to reduce labor-hours per unit to 79% each time cumulative production doubled.

Learning curves have application in services as well as industry. As was noted in the caption for the opening photograph, 1-year death rates of heart transplant patients at Temple University Hospital follow a 79% learning curve. The results of that hospital’s 3-year study of 62 patients receiving transplants found that every three operations resulted in a halving of the 1-year death rate. As more hospitals face pressure from both insurance companies and the government to enter fixed-price negotiations for their services, their ability to learn from experience becomes increas- ingly critical. In addition to having applications in both services and industry, learning curves are useful for a variety of purposes. These include:

1. Internal: Labor forecasting, scheduling, establishing costs and budgets. 2. External: Supply-chain negotiations (see the SMT case study in the Lecture Guide &

Activities Manual). 3. Strategic: Evaluation of company and industry performance, including costs and pricing.

Hours required for unit 4 = 10 * 1.722 = 4.9 hours

T * Ln = Time required for the nth unit

Module E Learning Curves 607

AUTHOR COMMENT Learning is a universal

concept, but rates of learning differ widely.

LO1: Define learning curve

1T. P. Wright, “Factors Affecting the Cost of Airplanes,” Journal of the Aeronautical Sciences (February 1936).

608 PART 4 Quantitative Modules

The consequences of learning curves can be far-reaching. For example, there are major prob- lems in scheduling if the learning improvement is not considered: labor and plants may sit idle a portion of the time. Firms may also refuse more work because they ignore their own efficiency improvements.

APPLYING THE LEARNING CURVE A mathematical relationship enables us to express the time required to produce a certain unit. This relationship is a function of how many units have been produced before the unit in question and how long it took to produce them. To gain a mastery of this relationship, we will work through learning curves scenarios using three different approaches: arithmetic analysis, logarith- mic analysis, and learning-curve coefficients.

Arithmetic Approach The arithmetic approach is the simplest approach to learning-curve problems. As we noted at the beginning of this module, each time production doubles, labor per unit declines by a constant factor, known as the learning rate. So, if we know that the learning rate is 80% and that the first unit produced took 100 hours, the hours required to produce the 2nd, 4th, 8th, and 16th units are as follows:

AUTHOR COMMENT Here are the three ways

of solving learning curve problems.

LO2: Use the arithmetic concept to estimate times

Nth Unit Produced Hours for Nth Unit

1 100.0 2 4 8

16 41.0 = 1.8 * 51.22 51.2 = 1.8 * 642 64.0 = 1.8 * 802 80.0 = 1.8 * 1002

As long as we wish to find the hours required to produce N units and N is one of the doubled val- ues, then this approach works. Arithmetic analysis does not tell us how many hours will be needed to produce other units. For this flexibility, we must turn to the logarithmic approach.

Learning- Curve

Cumulative Slope Example Improving Parameter Parameter (%)

1. Model-T Ford production Price Units produced 86 2. Aircraft assembly Direct labor-hours per unit Units produced 80 3. Equipment maintenance Average time to replace a Number of replacements 76

at GE group of parts 4. Steel production Production worker labor-hours Units produced 79

per unit produced 5. Integrated circuits Average price per unit Units produced 72a

6. Handheld calculator Average factory selling price Units produced 74 7. Disk memory drives Average price per bit Number of bits 76 8. Heart transplants 1-year death rates Transplants completed 79 9. Cesarean section baby Average operation time Number of surgeries 93

deliveries

aConstant dollars.

Sources: W. Y. Fok, L. Y. S. Chan, and T. K. H. Chung. “The Effect of Learning Curves on the Outcome of a Caesarean Section.”

BSOG (November 2006): 1259–1263; James A. Cunningham, “Using the Learning Curve as a Management Tool,” IEEE Spectrum

(June 1980): 45. © 1980 IEEE; and Davis B. Smith and Jan L. Larsson, “The Impact of Learning on Cost: The Case of Heart

Transplantation.” Hospital and Health Services Administration (Spring 1989): 85–97.

TABLE E.1 � Examples of Learning-Curve Effects

Module E Learning Curves 609

Logarithmic Approach The logarithmic approach allows us to determine labor for any unit, , by the formula:

(E-2)

where time for the Nth unit hours to produce the first unit

b (log of the learning rate)/(log 2) = slope of the learning curve

Some of the values for b are presented in Table E.2. Example E1 shows how this formula works.

= T1 = TN =

TN = T11Nb2

TN

� TABLE E.2 Learning-Curve Values of b

Learning Rate (%) b

70 75 80 85 90 – .152

– .234 – .322 – .415 – .515

� EXAMPLE E1 Using logs to compute learning curves

The learning rate for a typical CPA to conduct a dental practice audit is 80%. Greg Lattier, a new grad- uate of Lee College, completed his first audit in 100 hours. If the dental offices he audits are about the same, how long should he take to finish his third job?

APPROACH � We will use the logarithmic approach in Equation (E-2).

SOLUTION �

INSIGHT � Greg improved quickly from his first to his third audit. An 80% rate means that from just the first to second jobs, his time decreased by 20%.

LEARNING EXERCISE � If Greg’s learning rate was only 90%, how long would the third audit take? [Answer: 84.621 hours.]

RELATED PROBLEMS � E.1, E.2, E.9, E.10, E.11, E.16

EXCEL OM Data File ModEExE1.xls can be found at www.pearsonhighered.com/heizer.

= 1100213 - .3222 = 70.2 labor-hours = 1100213log.8>log 22

T3 = 1100 hours213b2 TN = T11Nb2

The logarithmic approach allows us to determine the hours required for any unit produced, but there is a simpler method.

Learning-Curve Coefficient Approach The learning-curve coefficient technique is embodied in Table E.3 and the following equation:

(E-3)

where number of labor-hours required to produce the Nth unit number of labor-hours required to produce the first unit learning-curve coefficient found in Table E.3

The learning-curve coefficient, C, depends on both the learning rate (70%, 75%, 80%, and so on) and the unit number of interest.

Example E2 uses the preceding equation and Table E.3 to calculate learning-curve effects.

C = T1 = TN =

TN = T1C

LO3: Compute learning- curve effects with the logarithmic and learning- curve coefficient approaches

� EXAMPLE E2 Using learning- curve coefficients

It took a Korean shipyard 125,000 labor-hours to produce the first of several tugboats that you expect to purchase for your shipping company, Great Lakes, Inc. Boats 2 and 3 have been produced by the Koreans with a learning factor of 85%. At $40 per hour, what should you, as purchasing agent, expect to pay for the fourth unit?

APPROACH � First, search Table E.3 for the fourth unit and a learning rate of 85%. The learning- curve coefficient, C, is .723.

610 PART 4 Quantitative Modules

� TABLE E.3 Learning-Curve Coefficients, Where Coefficient, C = N (log of learning rate/log 2)

70% 75% 80% 85% 90%

Unit Total Unit Total Unit Total Unit Total Unit Total Unit Number Time Co- Time Co- Time Co- Time Co- Time Co- Time Co- Time Co- Time Co- Time Co- Time Co-

(N) efficient efficient efficient efficient efficient efficient efficient efficient efficient efficient

1 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000 2 .700 1.700 .750 1.750 .800 1.800 .850 1.850 .900 1.900 3 .568 2.268 .634 2.384 .702 2.502 .773 2.623 .846 2.746 4 .490 2.758 .562 2.946 .640 3.142 .723 3.345 .810 3.556 5 .437 3.195 .513 3.459 .596 3.738 .686 4.031 .783 4.339 6 .398 3.593 .475 3.934 .562 4.299 .657 4.688 .762 5.101 7 .367 3.960 .446 4.380 .534 4.834 .634 5.322 .744 5.845 8 .343 4.303 .422 4.802 .512 5.346 .614 5.936 .729 6.574 9 .323 4.626 .402 5.204 .493 5.839 .597 6.533 .716 7.290

10 .306 4.932 .385 5.589 .477 6.315 .583 7.116 .705 7.994 11 .291 5.223 .370 5.958 .462 6.777 .570 7.686 .695 8.689 12 .278 5.501 .357 6.315 .449 7.227 .558 8.244 .685 9.374 13 .267 5.769 .345 6.660 .438 7.665 .548 8.792 .677 10.052 14 .257 6.026 .334 6.994 .428 8.092 .539 9.331 .670 10.721 15 .248 6.274 .325 7.319 .418 8.511 .530 9.861 .663 11.384 16 .240 6.514 .316 7.635 .410 8.920 .522 10.383 .656 12.040 17 .233 6.747 .309 7.944 .402 9.322 .515 10.898 .650 12.690 18 .226 6.973 .301 8.245 .394 9.716 .508 11.405 .644 13.334 19 .220 7.192 .295 8.540 .388 10.104 .501 11.907 .639 13.974 20 .214 7.407 .288 8.828 .381 10.485 .495 12.402 .634 14.608 25 .191 8.404 .263 10.191 .355 12.309 .470 14.801 .613 17.713 30 .174 9.305 .244 11.446 .335 14.020 .450 17.091 .596 20.727 35 .160 10.133 .229 12.618 .318 15.643 .434 19.294 .583 23.666 40 .150 10.902 .216 13.723 .305 17.193 .421 21.425 .571 26.543 45 .141 11.625 .206 14.773 .294 18.684 .410 23.500 .561 29.366 50 .134 12.307 .197 15.776 .284 20.122 .400 25.513 .552 32.142

SOLUTION � To produce the fourth unit, then, takes:

To find the cost, multiply by $40:

INSIGHT � The learning-curve coefficient approach is very easy to apply. If we had not factored learning into our cost estimates, the price would have been

LEARNING EXERCISE � If the learning factor improved to 80%, how would the cost change? [Answer: It would drop to $3,200,000.]

RELATED PROBLEMS � E.1, E.2, E.3a, E.5a,c, E.6a,b, E.9, E.10, E.11, E.14, E.16, E.22

EXCEL OM Data File ModEExE2.xls can be found at www.pearsonhighered.com/heizer.

ACTIVE MODEL E.1 This example is further illustrated in Active Model E.1 at www.pearsonhighered.com/heizer.

first boat2 = $6,000,000. 125,000 hours * $40 per hour 1same as the

90,375 hours * $40 per hour = $3,615,000

= 90,375 hours T4 = 1125,000 hours21.7232 TN = T1C

Table E.3 also shows cumulative values. These allow us to compute the total number of hours needed to complete a specified number of units. Again, the computation is straightforward. Just multiply the table coefficient value by the time required for the first unit. Example E3 illustrates this concept.

Module E Learning Curves 611

� EXAMPLE E3 Using cumulative coefficients

Example E2 computed the time to complete the fourth tugboat that Great Lakes plans to buy. How long will all four boats require?

APPROACH � We look at the “Total Time Coefficient” column in Table E.3 and find that the cumulative coefficient for 4 boats with an 85% learning factor is 3.345.

SOLUTION � The time required is:

INSIGHT � For an illustration of how Excel OM can be used to solve Examples E2 and E3, see Program E.1 at the end of this module.

LEARNING EXERCISE � What is the value of if the learning factor is 80% instead of 85%? [Answer: 392,750 hours.]

RELATED PROBLEMS � E.3b, E.4, E.5b,c, E.6c, E.7, E.15, E.19, E.20a

T4

T4 = 1125,000213.3452 = 418,125 hours in total for all 4 boats TN = T1C

Using Table E.3 requires that we know how long it takes to complete the first unit. Yet, what hap- pens if our most recent or most reliable information available pertains to some other unit? The answer is that we must use these data to find a revised estimate for the first unit and then apply the table coefficient to that number. Example E4 illustrates this concept.

� EXAMPLE E4 Revising learning-curve estimates

Great Lakes, Inc., believes that unusual circumstances in producing the first boat (see Example E2) imply that the time estimate of 125,000 hours is not as valid a base as the time required to produce the third boat. Boat number 3 was completed in 100,000 hours. It wants to solve for the revised estimate for boat number 1.

APPROACH � We return to Table E.3, with a unit value of N = 3 and a learning-curve coefficient of C = .773 in the 85% column.

SOLUTION � To find the revised estimate, divide the actual time for boat number 3, 100,000 hours, by C = .773:

So, 129,366 hours is the new (revised) estimate for boat 1.

INSIGHT � Any change in product, process, or personnel will change the learning curve. The new estimate for boat 1 suggests that related cost and volume estimates need to be revised.

LEARNING EXERCISE � Boat 4 was just completed in 90,000 hours. Great Lakes thinks the 85% learning rate is valid but isn’t sure about the 125,000 hours for the first boat. Find a revised esti- mate for boat 1. [Answer: 124,481, suggesting that boat 1’s time was fairly accurate after all.]

RELATED PROBLEMS � E.8, E.12, E.13, E.17, E.18, E.20b, E.21, E.23

EXCEL OM Data File ModEExE4.xls can be found at www.pearsonhighered.com/heizer.

100,000

.773 = 129,366 hours

STRATEGIC IMPLICATIONS OF LEARNING CURVES So far, we have shown how operations managers can forecast labor-hour requirements for a prod- uct. We have also shown how purchasing agents can determine a supplier’s cost, knowledge that can help in price negotiations. Another important application of learning curves concerns strategic planning.

An example of a company cost line and industry price line are so labeled in Figure E.2. These learning curves are straight because both scales are log scales. When the rate of change is con- stant, a log-log graph yields a straight line. If an organization believes its cost line to be the “company cost” line, and the industry price is indicated by the dashed horizontal line, then the

LO4: Describe the strategic implications of learning curves

612 PART 4 Quantitative Modules

Accumulated volume (log scale)

Gross profit margin

Industry price

Loss

P ri ce

p e r

u n it

(l o g s

ca le

)

Com pany cost

(c)

(b)

(a)

� FIGURE E.2 Industry Learning Curve for Price Compared with Company Learning Curve for Cost

company must have costs at the points below the dashed line (for example, point a or b) or else operate at a loss (point c).

Lower costs are not automatic; they must be managed down. When a firm’s strategy is to pur- sue a curve steeper than the industry average (the company cost line in Figure E.2), it does this by:

1. Following an aggressive pricing policy 2. Focusing on continuing cost reduction and productivity improvement 3. Building on shared experience 4. Keeping capacity growing ahead of demand

Costs may drop as a firm pursues the learning curve, but volume must increase for the learning curve to exist. Moreover, managers must understand competitors before embarking on a learning- curve strategy. Weak competitors are undercapitalized, stuck with high costs, or do not under- stand the logic of learning curves. However, strong and dangerous competitors control their costs, have solid financial positions for the large investments needed, and have a track record of using an aggressive learning-curve strategy. Taking on such a competitor in a price war may help only the consumer.

LIMITATIONS OF LEARNING CURVES Before using learning curves, some cautions are in order:

• Because learning curves differ from company to company, as well as industry to industry, estimates for each organization should be developed rather than applying someone else’s.

• Learning curves are often based on the time necessary to complete the early units; therefore, those times must be accurate. As current information becomes available, reevaluation is appropriate.

• Any changes in personnel, design, or procedure can be expected to alter the learning curve, causing the curve to spike up for a short time, even if it is going to drop in the long run.

• While workers and processes may improve, the same learning curves do not always apply to indirect labor and material.

• The culture of the workplace, as well as resource availability and changes in the process, may alter the learning curve. For instance, as a project nears its end, worker interest and effort may drop, curtailing progress down the curve.

AUTHOR COMMENT Both the vertical and

horizontal axes of this figure are log scales. This is known

as a log-log graph.

AUTHOR COMMENT Determining accurate rates

of learning requires careful analysis.

Module E Learning Curves 613

The learning curve is a powerful tool for the operations man- ager. This tool can assist operations managers in determining future cost standards for items produced as well as purchased. In addition, the learning curve can provide understanding about company and industry performance. We saw three

approaches to learning curves: arith- metic analysis, logarithmic analysis, and learning-curve coefficients found in tables. Software can also help analyze learning curves.

MODULE SUMMARY

Key Term

Learning curves (p. 606)

Using Software for Learning Curves Excel, Excel OM, and POM for Windows may all be used in analyzing learning curves. You can use the ideas in the following section on Excel OM to build your own Excel spreadsheet if you wish.

X Using Excel OM Program E.1 shows how Excel OM develops a spreadsheet for learning-curve calculations. The input data come from Examples E2 and E3. In cell B7, we enter the unit number for the base unit (which does not have to be 1), and in B8, we enter the time for this unit.

=SUM($B$16:B16)

These are used for computations. Do not touch these cells. In cell B11, the time for the first unit is computed, allowing us to use initial units other than unit 1. In cell B12, the power to be raised to is computed, making the formulas in the rest of column B much simpler.

=$B$11*POWER(1,$B$12)

� PROGRAM E.1 Excel OM’s Learning-Curve Module, Using Data from Examples E2 and E3

P Using POM for Windows The POM for Windows Learning Curve module computes the length of time that future units will take, given the time required for the base unit and the learning rate (expressed as a number between 0 and 1). As an option, if the times required for the first and Nth units are already known, the learning rate can be computed. See Appendix IV for further details.

614 PART 4 Quantitative Modules

� SOLUTION from Table E.3, coefficient for 80% unit time

a)

b) Total time for the first 11 units = (56 hours)(6.777) = 379.5 hours

from Table E.3, coefficient for 80% total time

c) To find the time for units 12 through 15, we take the total cumulative time for units 1 to 15 and subtract the total time for units 1 to 11, which was computed in part (b). Total time for the first So, the time for units 12 through 15 is

(This figure could also be confirmed by computing the times for units 12, 13, 14, and 15 separately using the unit-time coefficient column and then adding them.) Expected cost for units 12 through 15 = 197.1 hours21$30 per hour2 = $2,913.

476.6 - 379.5 = 97.1 hours. 15 units = 156 hours218.5112 = 476.6 hours.

T11 = 156 hours21.4622 = 25.9 hours TN = T1C

� SOLVED PROBLEM E.2 If the first time you performed a job took 60 minutes, how long will the eighth job take if you are on an 80% learning curve?

� SOLUTION Three doublings from 1 to 2 to 4 to 8 implies Therefore, we have:

or, using Table E.3, we have Therefore:

60 * .512 = 30.72 minutes

C = .512.

60 * 1.823 = 60 * .512 = 30.72 minutes

.83.

� SOLVED PROBLEM E.1 Digicomp produces a new telephone system with built-in TV screens. Its learning rate is 80%. a) If the first one took 56 hours, how long will it take Digicomp to make the eleventh system?

Solved Problems Virtual Office Hours help is available at www.myomlab.com

b) How long will the first 11 systems take in total? c) As a purchasing agent, you expect to buy units 12 through 15

of the new phone system. What would be your expected cost for the units if Digicomp charges $30 for each labor-hour?

Bibliography

Boh,W. F., S. A. Slaughter, and J. A. Espinosa. “Learning from Experience in Software Development.” Management Science 53, no. 8 (August 2007): 1315–1332.

Couto, J. P., and J. C. Teixeira. “Using a Linear Model for Learning Curve Effect on Highrise Floor Construction.” Construction Management & Economics 23 (May 2005): 355.

McDonald, A., and L. Schrattenholzer. “Learning Curves and Technology Assessment.” International Journal of Technology Management 23 (2002): 718.

Morrison, J. Bradley. “Putting the Learning Curve into Context.” Journal of Business Research 61, no. 1 (November 2008): 1182.

Ngwenyama, O., A. Guergachi, and T. McLaren. “Using the Learning Curve to Maximize IT Productivity.” International Journal of Production Economics 105, no. 2 (February 2007): 524.

Smunt, T. L., and C. A. Watts. “Improving Operations Planning with Learning Curves.” Journal of Operations Management 21 (January 2003): 93.

Weston, M. Learning Curves. New York: Crown Publishing (2000).

QUANTITATIVE MODULE

Simulation

615

Module Outline

What Is Simulation? 616

Advantages and Disadvantages of Simulation 617

Monte Carlo Simulation 618

Simulation of a Queuing Problem 621

Simulation and Inventory Analysis 623

616 PART 4 Quantitative Modules

LO1: List the advantages and disadvantages of modeling with simulation 617

LO2: Perform the five steps in a Monte Carlo simulation 618

Module F Learning Objectives

When Bay Medical Center faced severe overcrowding at its outpatient clinic, it turned to computer simulation to try to reduce bottlenecks and improve patient flow. A simulation language called Micro Saint analyzed current data relating to patient service times between clinic rooms. By simulating different numbers of doctors and staff, simulating the use of another clinic for overflow, and simulating a redesign of the existing clinic, Bay Medical Center was able to make decisions based on an understanding of both costs and benefits. This resulted in better patient service at lower cost.

Source: Micro Analysis and Design Simulation Software, Inc., Boulder, CO.

LO3: Simulate a queuing problem 621

LO4: Simulate an inventory problem 623

LO5: Use Excel spreadsheets to create a simulation 627

WHAT IS SIMULATION? Simulation models abound in our world. The city of Atlanta, for example, uses them to control traffic. Europe’s Airbus Industries uses them to test the aerodynamics of proposed jets. The U.S. Army simulates war games on computers. Business students use management gaming to simu- late realistic business competition. And thousands of organizations like Bay Medical Center develop simulation models to help make operations decisions.

Most of the large companies in the world use simulation models. Table F.1 lists just a few areas in which simulation is now being applied.

Simulation is the attempt to duplicate the features, appearance, and characteristics of a real system. In this module, we will show how to simulate part of an operations management system by building a mathematical model that comes as close as possible to representing the reality of

� TABLE F.1 Some Applications of Simulation

Ambulance location and dispatching Bus scheduling Assembly-line balancing Design of library operations Parking lot and harbor design Taxi, truck, and railroad dispatching Distribution system design Production facility scheduling Scheduling aircraft Plant layout Labor-hiring decisions Capital investments Personnel scheduling Production scheduling Traffic-light timing Sales forecasting Voting pattern prediction Inventory planning and control

Simulation The attempt to duplicate the features, appearance, and characteristics of a real system, usually via a computerized model.

Module F Simulation 617

the system. The model will then be used to estimate the effects of various actions. The idea behind simulation is threefold:

1. To imitate a real-world situation mathematically 2. Then to study its properties and operating characteristics 3. Finally to draw conclusions and make action decisions based on the results of the simulation

In this way, a real-life system need not be touched until the advantages and disadvantages of a major policy decision are first measured on the model.

To use simulation, an OM manager should:

1. Define the problem. 2. Introduce the important variables associated with the problem. 3. Construct a numerical model. 4. Set up possible courses of action for testing by specifying values of variables. 5. Run the experiment. 6. Consider the results (possibly modifying the model or changing data inputs). 7. Decide what course of action to take.

These steps are illustrated in Figure F.1. The problems tackled by simulation may range from very simple to extremely complex, from

bank-teller lines to an analysis of the U.S. economy. Although small simulations can be con- ducted by hand, effective use of the technique requires a computer. Large-scale models, simulat- ing perhaps years of business decisions, are virtually all handled by computer.

In this module, we examine the basic principles of simulation and then tackle some problems in the areas of waiting-line analysis and inventory control. Why do we use simulation in these areas when mathematical models described in other chapters can solve similar problems? The answer is that simulation provides an alternative approach for problems that are very complex mathemati- cally. It can handle, for example, inventory problems in which demand or lead time is not constant.

ADVANTAGES AND DISADVANTAGES OF SIMULATION Simulation is a tool that has become widely accepted by managers for several reasons. The main advantages of simulation are as follows:

1. Simulation is relatively straightforward and flexible. 2. It can be used to analyze large and complex real-world situations that cannot be solved by

conventional operations management models. 3. Real-world complications can be included that most OM models cannot permit. For exam-

ple, simulation can use any probability distribution the user defines; it does not require stan- dard distributions.

4. “Time compression” is possible. The effects of OM policies over many months or years can be obtained by computer simulation in a short time.

5. Simulation allows “what-if?” types of questions. Managers like to know in advance what options will be most attractive. With a computerized model, a manager can try out several policy decisions within a matter of minutes.

6. Simulations do not interfere with real-world systems. It may be too disruptive, for example, to experiment physically with new policies or ideas in a hospital or manufacturing plant.

7. Simulation can study the interactive effects of individual components or variables in order to determine which ones are important.

The main disadvantages of simulation are as follows:

1. Good simulation models can be very expensive; they may take many months to develop. 2. It is a trial-and-error approach that may produce different solutions in repeated runs. It does

not generate optimal solutions to problems (as does linear programming). 3. Managers must generate all of the conditions and constraints for solutions that they want to

examine. The simulation model does not produce answers without adequate, realistic input. 4. Each simulation model is unique. Its solutions and inferences are not usually transferable to

other problems.

Define problem

Introduce variables

Construct model

Conduct simulation

Examine results

Select best course

Specify values of variables

� FIGURE F.1 The Process of Simulation

AUTHOR COMMENT There are many reasons it’s better to simulate a real-world system than to experiment with it.

LO1: List the advantages and disadvantages of modeling with simulation

618 PART 4 Quantitative Modules

MONTE CARLO SIMULATION When a system contains elements that exhibit chance in their behavior, the Monte Carlo method of simulation may be applied. The basis of Monte Carlo simulation is experimentation on chance (or probabilistic) elements by means of random sampling.

The technique breaks down into five simple steps:

1. Setting up a probability distribution for important variables. 2. Building a cumulative probability distribution for each variable. 3. Establishing an interval of random numbers for each variable. 4. Generating random numbers. 5. Actually simulating a series of trials.

Let’s examine these steps in turn.

Step 1. Establishing Probability Distributions. The basic idea in the Monte Carlo simula- tion is to generate values for the variables making up the model under study. In real-world sys- tems, a lot of variables are probabilistic in nature. To name just a few: inventory demand; lead time for orders to arrive; times between machine breakdowns; times between customer arrivals at a service facility; service times; times required to complete project activities; and number of employees absent from work each day.

One common way to establish a probability distribution for a given variable is to examine histori- cal outcomes. We can find the probability, or relative frequency, for each possible outcome of a vari- able by dividing the frequency of observation by the total number of observations. Here’s an example.

The daily demand for radial tires at Barry’s Auto Tire over the past 200 days is shown in columns 1 and 2 of Table F.2. Assuming that past arrival rates will hold in the future, we can con- vert this demand to a probability distribution by dividing each demand frequency by the total demand, 200. The results are shown in column 3.

Step 2. Building a Cumulative Probability Distribution for Each Variable. The conver- sion from a regular probability distribution, such as in column 3 of Table F.2, to a cumulative probability distribution is an easy job. In column 4, we see that the cumulative probability for

LO2: Perform the five steps in a Monte Carlo simulation

Computer simulation models have been developed to address a variety of productivity issues at fast-food restaurants such as Burger King. In one, the ideal distance between the drive- through order station and the pickup window was simulated. For example, because a longer distance reduced waiting time, 12 to 13 additional customers could be served per hour— a benefit of about $20,000 in extra sales per restaurant per year. In another simulation, a second drive-through window was considered. This model predicted a sales increase of 15%.

Cumulative probability distribution The accumulation of individual probabilities of a distribution.

� TABLE F.2 Demand for Barry’s Auto Tire

(1) (2) (3) (4) Probability of Cumulative

Demand for Tires Frequency Occurrence Probability

0 10 .05 1 20 .15 2 40 .35 3 60 .65 4 40 .85 5 30 1.00

200 days 200>200 = 1.00 30>200 = .15 40>200 = .20 60>200 = .30 40>200 = .20 20>200 = .10 10>200 = .05

AUTHOR COMMENT This approach is named

after the random behavior of a roulette wheel.

AUTHOR COMMENT

To establish a probability distribution for tires, we assume that historical

demand is a good indicator of future demand.

Monte Carlo method A simulation technique that uses random elements when chance exists in their behavior.

Module F Simulation 619

each level of demand is the sum of the number in the probability column (column 3) added to the previous cumulative probability.

Step 3. Setting Random-Number Intervals. Once we have established a cumulative proba- bility distribution for each variable in the simulation, we must assign a set of numbers to repre- sent each possible value or outcome. These are referred to as random-number intervals. Basically, a random number is a series of digits (say, two digits from 01, 02, . . . , 98, 99, 00) that have been selected by a totally random process—a process in which each random number has an equal chance of being selected.

If, for example, there is a 5% chance that demand for Barry’s radial tires will be 0 units per day, then we will want 5% of the random numbers available to correspond to a demand of 0 units. If a total of 100 two-digit numbers is used in the simulation, we could assign a demand of 0 units to the first 5 random numbers: 01, 02, 03, 04, and 05.1 Then a simulated demand for 0 units would be cre- ated every time one of the numbers 01 to 05 was drawn. If there is also a 10% chance that demand for the same product will be 1 unit per day, we could let the next 10 random numbers (06, 07, 08, 09, 10, 11, 12, 13, 14, and 15) represent that demand—and so on for other demand levels.

Similarly, we can see in Table F.3 that the length of each interval on the right corresponds to the probability of 1 of each of the possible daily demands. Thus, in assigning random numbers to

1Alternatively, we could have assigned the random numbers 00, 01, 02, 03, and 04 to represent a demand of 0 units. The 2 digits 00 can be thought of as either 0 or 100. As long as 5 numbers out of 100 are assigned to the 0 demand, it does not make any difference which 5 they are.

Random-number intervals A set of numbers to represent each possible value or outcome in a computer simulation.

Random number A series of digits that have been selected by a totally random process.

� TABLE F.3 The Assignment of Random- Number Intervals for Barry’s Auto Tire

Cumulative Interval of Daily Demand Probability Probability Random Numbers

0 .05 .05 01 through 05 1 .10 .15 06 through 15 2 .20 .35 16 through 35 3 .30 .65 36 through 65 4 .20 .85 66 through 85 5 .15 1.00 86 through 00

AUTHOR COMMENT You may start random

number intervals at either 01 or 00, but the text starts at 01 so that the top of each range is the cumulative probability.

� TABLE F.4 Table of 2-Digit Random Numbers

52 06 50 88 53 30 10 47 99 37 66 91 35 32 00 84 57 07 37 63 28 02 74 35 24 03 29 60 74 85 90 73 59 55 17 60 82 57 68 28 05 94 03 11 27 79 90 87 92 41 09 25 36 77 69 02 36 49 71 99 32 10 75 21 95 90 94 38 97 71 72 49 98 94 90 36 06 78 23 67 89 85 29 21 25 73 69 34 85 76 96 52 62 87 49 56 59 23 78 71 72 90 57 01 98 57 31 95 33 69 27 21 11 60 95 89 68 48 17 89 34 09 93 50 44 51 50 33 50 95 13 44 34 62 64 39 55 29 30 64 49 44 30 16 88 32 18 50 62 57 34 56 62 31 15 40 90 34 51 95 26 14 90 30 36 24 69 82 51 74 30 35 36 85 01 55 92 64 09 85 50 48 61 18 85 23 08 54 17 12 80 69 24 84 92 16 49 59 27 88 21 62 69 64 48 31 12 73 02 68 00 16 16 46 13 85 45 14 46 32 13 49 66 62 74 41 86 98 92 98 84 54 33 40 81 02 01 78 82 74 97 37 45 31 94 99 42 49 27 64 89 42 66 83 14 74 27 76 03 33 11 97 59 81 72 00 64 61 13 52 74 05 81 82 93 09 96 33 52 78 13 06 28 30 94 23 37 39 30 34 87 01 74 11 46 82 59 94 25 34 32 23 17 01 58 73 59 55 72 33 62 13 74 68 22 44 42 09 32 46 71 79 45 89 67 09 80 98 99 25 77 50 03 32 36 63 65 75 94 19 95 88 60 77 46 63 71 69 44 22 03 85 14 48 69 13 30 50 33 24 60 08 19 29 36 72 30 27 50 64 85 72 75 29 87 05 75 01 80 45 86 99 02 34 87 08 86 84 49 76 24 08 01 86 29 11 53 84 49 63 26 65 72 84 85 63 26 02 75 26 92 62 40 67 69 84 12 94 51 36 17 02 15 29 16 52 56 43 26 22 08 62 37 77 13 10 02 18 31 19 32 85 31 94 81 43 31 58 33 51

Source: Reprinted from A Million Random Digits with 100,000 Normal Deviates (New York: The Free Press, 1995). Used by permission.

620 PART 4 Quantitative Modules

EXAMPLE F1 � Simulating demand

Barry’s Auto Tire wants to simulate 10 days of demand for radial tires.

APPROACH � Earlier, we went through Steps 1 and 2 in the Monte Carlo method (in Table F.2) and Step 3 (in Table F.3). Now we need to generate random numbers (Step 4) and simulate demand (Step 5).

SOLUTION � We select the random numbers needed from Table F.4, starting in the upper-left- hand corner and continuing down the first column and record the corresponding daily demand:

the daily demand for 3 radial tires, the range of the random-number interval (36 through 65) cor- responds exactly to the probability (or proportion) of that outcome. A daily demand for 3 radial tires occurs 30% of the time. All of the 30 random numbers greater than 35 up to and including 65 are assigned to that event.

Step 4. Generating Random Numbers. Random numbers may be generated for simulation problems in two ways. If the problem is large and the process under study involves many simu- lation trials, computer programs are available to generate the needed random numbers. If the simulation is being done by hand, the numbers may be selected from a table of random digits.

Step 5. Simulating the Experiment. We may simulate outcomes of an experiment by sim- ply selecting random numbers from Table F.4. Beginning anywhere in the table, we note the interval in Table F.3 into which each number falls. For example, if the random number chosen is 81 and the interval 66 through 85 represents a daily demand for 4 tires, then we select a demand of 4 tires. Example F1 carries the simulation further.

INSIGHT � It is interesting to note that the average demand of 3.9 tires in this 10-day simulation dif- fers substantially from the expected daily demand, which we may calculate from the data in Table F.3:

However, if this simulation was repeated hundreds or thousands of times, the average simulated demand would be nearly the same as the expected demand.

LEARNING EXERCISE � Resimulate the 10 days, this time with random numbers from col- umn 2 of Table F.4. What is the average daily demand? [Answer: 2.5.]

RELATED PROBLEMS � F.1, F.2, F.3, F.4, F.5, F.7, F.9, F.10, F.14, F.20

= 2.95 tires = 0 + .1 + .4 + .9 + .8 + .75 = 1.052102 + 1.102112 + 1.202122 + 1.302132 + 1.202142 + 1.152152

Expected demand = a 5

i= 1 1probability of i units2 * 1demand of i units2

Day Random Simulated Number Number Daily Demand

1 52 3 2 37 3 3 82 4 4 69 4 5 98 5 6 96 5 7 33 2 8 50 3 9 88 5

10 90 5 39 Total 10-day demand 39/10 = 3.9 = tires average daily demand

Naturally, it would be risky to draw any hard and fast conclusions about the operation of a firm from only a short simulation like Example F1. Seldom would anyone actually want to go to the effort of simulating such a simple model containing only one variable. Simulating by

Module F Simulation 621

The animation on the computer screen is not encouraging. Starbucks is running a digital simulation of customers order- ing new warm sandwiches and pastries at a “virtual” store.

At first, things seem to go well, as animated workers rush around, preparing orders. But then they can’t keep up. Soon the customers are stacking up in line, and the goal of serving each person in less than 3 minutes is blown. The line quickly reaches the point at which customers decide the snack or drink isn’t worth the wait—called the “balking point” in queuing theory.

Fortunately for Starbucks, the customers departing without their frappuchinos and decaf slim lattes are digital. The simulation software is helping operations managers find out what caused the backup before the scene repeats itself in the real world.

OM in Action � Simulation Software Takes the Kinks out of Starbucks’s Lines

LO3: Simulate a queuing problem

AUTHOR COMMENT Using simulation is often

the best way to model a complex system.

� EXAMPLE F2 A barge- unloading simulation with two variables

Following long trips down the Mississippi River from industrial midwestern cities, fully loaded barges arrive at night in New Orleans. Barges are unloaded on a first-in, first-out basis. Any barges not unloaded on the day of arrival must wait until the following day. However, tying up barges in dock is an expensive proposition, and the superintendent cannot ignore the angry phone calls from barge owners reminding him that “time is money!” He decides that before going to the Port of New Orleans controller to request additional unloading crews, he should conduct a simulation study of arrivals, unloadings, and delays. A 100-day simulation would be ideal, but for purposes of illustration, the superintendent can begin with a shorter 15-day analysis.

APPROACH � Follow the 5 steps in Monte Carlo simulation: (1) establish probability distribu- tions for the important variables (i.e., barge arrivals and barge unloadings); (2 and 3) create cumulative distributions and random number intervals for each variable; (4) draw random numbers from Table F.4; and (5) simulate the experiment.

SOLUTION � The number of barges docking on any given night ranges from 0 to 5. The probabil- ity of 0, 1, 2, 3, 4, and 5 arrivals is displayed in Table F.5. In the same table, we establish cumulative probabilities and corresponding random-number intervals for each possible value.

� TABLE F.5 Overnight Barge Arrival Rates and Random-Number Intervals

Number of Cumulative Random-Number Arrivals Probability Probability Interval

0 .13 .13 01 through 13 1 .17 .30 14 through 30 2 .15 .45 31 through 45 3 .25 .70 46 through 70 4 .20 .90 71 through 90 5 .10 1.00 91 through 00

1.00

Simulation software is also used to find the point where capital expenditures will pay off. In large chains such as Starbucks, adding even a minor piece of equipment can

add up. A $200 blender in each of Starbucks’s more than 10,000 stores globally can cost the firm $2 million.

Sources: The Wall Street Journal (August 4, 2009): A1, A10; and Business Wire (February 13, 2006): 1 and (June 15, 2005): 1.

hand does, however, demonstrate the important principles involved and may be useful in small-scale studies.

SIMULATION OF A QUEUING PROBLEM An important use of simulation is in the analysis of waiting-line problems. As we saw in Module D, the assumptions required for solving queuing problems are quite restrictive. For most realistic queuing systems, simulation may be the only approach available as we see in the Starbucks OM in Action box.

Example F2 illustrates the use of simulation for a large unloading dock and its associated queue. Arrivals of barges at the dock are not Poisson-distributed, and unloading rates (service times) are not exponential or constant. As such, the mathematical waiting-line models of Module D cannot be used.

622 PART 4 Quantitative Modules

The dock superintendent believes that the number of barges unloaded also tends to vary from day to day. In Table F.6, the superintendent provides information from which we can create a probability distribution for the variable daily unloading rate. As we just did for the arrival variable, we can set up an interval of random numbers for the unloading rates.

� TABLE F.6 Unloading Rates and Random- Number Intervals

Daily Cumulative Random-Number Unloading Rates Probability Probability Interval

1 .05 .05 01 through 05 2 .15 .20 06 through 20 3 .50 .70 21 through 70 4 .20 .90 71 through 90 5 .10 1.00 91 through 00

1.00

AUTHOR COMMENT The relationship between

these random-number intervals and cumulative

probability is that the top end of each interval is equal to the cumulative probability

percentage. Random numbers are drawn from the top row of Table F.4 to generate daily arrival rates. To create daily unloading rates, they are drawn from the second row of Table F.4. Table F.7 shows the day-to-day port simulation.

� TABLE F.7 Queuing Simulation of Port of New Orleans Barge Unloadings

(1) (2) (3) (4) (5) (6) (7) Number Number Total

Delayed from Random of Nightly to Be Random Number Day Previous Day Number Arrivals Unloaded Number Unloaded

1 a 52 3 3 37 3 2 0 06 0 0 63 0 b

3 0 50 3 3 28 3 4 0 88 4 4 02 1 5 3 53 3 6 74 4 6 2 30 1 3 35 3 7 0 10 0 0 24 0 c

8 0 47 3 3 03 1 9 2 99 5 7 29 3

10 4 37 2 6 60 3 11 3 66 3 6 74 4 12 2 91 5 7 85 4 13 3 35 2 5 90 4 14 1 32 2 3 73 3 d

15 0 00 5 5 59 3 20 41 39

Total delays Total arrivals Total unloadings aWe can begin with no delays from the previous day. In a long simulation, even if we started with five overnight delays, that

initial condition would be averaged out.

bThree barges could have been unloaded on day 2. Yet because there were no arrivals and no backlog existed, zero unloadings

took place.

cThe same situation as noted in footnote b takes place.

dThis time, 4 barges could have been unloaded, but because only 3 were in queue, the number unloaded is recorded as 3.

INSIGHT � The superintendent will likely be interested in at least three useful and important pieces of information:

= 2.60 unloadings per day

Average number of barges unloaded each day = 39 unloadings

15 days

= 2.73 arrivals per night

Average number of nightly arrivals = 41 arrivals

15 days

= 1.33 barges delayed per day

¢Average number of barges delayed to the next day

≤ = 20 delays 15 days

Module F Simulation 623

LO4: Simulate an inventory problem

The simulation in Table F.7 by itself provides interesting data, but these three averages are management information to help make decisions.

LEARNING EXERCISE � If the random numbers for day 15 were 03 and 93 (instead of 00 and 59), how would these 3 averages change? [Answer: They would be 1.33 (unchanged), 2.4, and 2.4.]

RELATED PROBLEMS � F.6, F.8, F.15, F.19, F.21

When the data from Example F2 are analyzed in terms of delay costs, idle labor costs, and the cost of hiring extra unloading crew, the dock superintendent and port controller can make a better staffing decision. They may even choose to resimulate the process assuming different unloading rates that correspond to increased crew sizes. Although simulation cannot guarantee an optimal solution to problems such as this, it can be helpful in re-creating a process and identifying good decision alternatives.

SIMULATION AND INVENTORY ANALYSIS In Chapter 12, we introduced inventory models. The commonly used EOQ models are based on the assumption that both product demand and reorder lead time are known, constant values. In most real-world inventory situations, though, demand and lead time are variables, so accurate analysis becomes extremely difficult to handle by any means other than simulation.

In this section, we present an inventory problem with two decision variables and two proba- bilistic components. The owner of the hardware store in Example F3 would like to establish order quantity and reorder point decisions for a particular product that has probabilistic (uncer- tain) daily demand and reorder lead time. He wants to make a series of simulation runs, trying out various order quantities and reorder points, to minimize his total inventory cost for the item. Inventory costs in this case will include ordering, holding, and stockout costs.

AUTHOR COMMENT Most real-world inventory systems have probabilistic events and benefit from a

simulation approach.

� EXAMPLE F3 An inventory simulation with two variables

Simkin’s Hardware Store, in Reno, sells the Ace model electric drill. Daily demand for this particular product is relatively low but subject to some variability. Lead times tend to be variable as well. Mark Simkin wants to develop a simulation to test an inventory policy of ordering 10 drills, with a reorder point of 5. In other words, every time the on-hand inventory level at the end of the day is 5 or less, Simkin will call his supplier that evening and place an order for 10 more drills. Simkin notes that if the lead time is 1 day, the order will not arrive the next morning but rather at the beginning of the follow- ing workday. Stockouts become lost sales, not backorders.

APPROACH � Simkin wants to follow the 5 steps in the Monte Carlo simulation process.

SOLUTION � Over the past 300 days, Simkin has observed the sales shown in column 2 of Table F.8. He converts this historical frequency into a probability distribution for the variable daily demand (column 3). A cumulative probability distribution is formed in column 4 of Table F.8. Finally, Simkin establishes an interval of random numbers to represent each possible daily demand (column 5).

� TABLE F.8 Probabilities and Random- Number Intervals for Daily Ace Drill Demand

(1) (2) (3) (4) (5) Demand for Cumulative Interval of

Ace Drill Frequency Probability Probability Random Numbers

0 15 .05 .05 01 through 05 1 30 .10 .15 06 through 15 2 60 .20 .35 16 through 35 3 120 .40 .75 36 through 75 4 45 .15 .90 76 through 90 5 30 .10 1.00 91 through 00

300 days 1.00

When Simkin places an order to replenish his inventory of drills, there is a delivery lag of from 1 to 3 days. This means that lead time may also be considered a probabilistic variable. The number of days that it took to receive the past 50 orders is presented in Table F.9. In a fashion similar to the creation of

624 PART 4 Quantitative Modules

the demand variable, Simkin establishes a probability distribution for the lead time variable (column 3 of Table F.9), computes the cumulative distribution (column 4), and assigns random-number intervals for each possible time (column 5).

� TABLE F.9 Probabilities and Random- Number Intervals for Reorder Lead Time

(1) (2) (3) (4) (5) Lead Time Cumulative Random-Number

(days) Frequency Probability Probability Interval

1 10 .20 .20 01 through 20 2 25 .50 .70 21 through 70 3 15 .30 1.00 71 through 00

50 orders 1.00

The entire process is simulated in Table F.10 for a 10-day period. We assume that beginning inventory (column 3) is 10 units on day 1. We took the random numbers (column 4) from column 2 of Table F.4.

�TABLE F.10 Simkin Hardware’s First Inventory Simulation. Order Quantity = 10 Units; Reorder Point = 5 units

(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) Units Beginning Random Ending Lost Random Lead

Day Received Inventory Number Demand Inventory Sales Order? Number Time

1 10 06 1 9 0 No 2 0 9 63 3 6 0 No 3 0 6 57 3 3 a 0 Yes 02 b 1 4 0 3 94 c 5 0 2 No d

5 10 e 10 52 3 7 0 No 6 0 7 69 3 4 0 Yes 33 2 7 0 4 32 2 2 0 No 8 0 2 30 2 0 0 No 9 10 f 10 48 3 7 0 No

10 0 7 88 4 3 0 Yes 14 1 Totals: 41 2

aThis is the first time inventory dropped to the reorder point of five drills. Because no prior order was outstanding, an order is placed. bThe random number 02 is generated to represent the first lead time. It was drawn from column 2 of Table F.4 as the next number in the list being used. A separate column could have been used from which to draw lead-time random numbers if we had wanted to do so, but in this example, we did not do so. cAgain, notice that the random digits 02 were used for lead time (see footnote b). So the next number in the column is 94. dNo order is placed on day 4 because there is an order outstanding from the previous day that has not yet arrived. eThe lead time for the first order placed is 1 day, but as noted in the text, an order does not arrive the next morning but rather the beginning of the following day. Thus, the first order arrives at the start of day 5. fThis is the arrival of the order placed at the close of business on day 6. Fortunately for Simkin, no lost sales occurred during the 2-day lead time before the order arrived.

Table F.10 was filled in by proceeding 1 day (or line) at a time, working from left to right. It is a four-step process:

1. Begin each simulated day by checking to see whether any ordered inventory has just arrived. If it has, increase current inventory by the quantity ordered (10 units, in this case).

2. Generate a daily demand from the demand probability distribution for the selected random number. 3. Compute: Ending inventory = Beginning inventory minus Demand. If on-hand inventory is

insufficient to meet the day’s demand, satisfy as much demand as possible and note the number of lost sales.

4. Determine whether the day’s ending inventory has reached the reorder point (5 units). If it has, and if there are no outstanding orders, place an order. Lead time for a new order is simulated for the selected random number corresponding to the distribution in Table F.9.

INSIGHTS � Simkin’s inventory simulation yields some interesting results. The average daily ending inventory is:

Average ending inventory = 41 total units

10 days = 4.1 units>day

Module F Simulation 625

We also note the average lost sales and number of orders placed per day:

LEARNING EXERCISE � How would these 3 averages change if the random numbers for day 10 were 04 and 93 instead of 88 and 14? [Answer: 4.5, .2 (no change), and .2.]

RELATED PROBLEMS � F.11, F.16a

Average number of orders placed = 3 orders

10 days = .3 orders>day

Average lost sales = 2 sales lost

10 days = .2 units>day

Example F4 shows how these data can be useful in studying the inventory costs of the policy being simulated.

� EXAMPLE F4 Adding costs to Example F3

Simkin wants to put a cost on the ordering policy simulated in Example F3.

APPROACH � Simkin estimates that the cost of placing each order for Ace drills is $10, the hold- ing cost per drill held at the end of each day is $.50, and the cost of each lost sale is $8. This informa- tion enables us to compute the total daily inventory cost.

SOLUTION � Here are the three cost components:

INSIGHT � This cost will help Simkin decide if the order policy is a good one.

LEARNING EXERCISE � If the cost of placing an order is really $20 (instead of $10), what is the correct total daily inventory cost? [Answer: $9.65.]

RELATED PROBLEMS � F.12, F.13, F.16b, F.17, F.18

ROP = 5Q = 10,

Total daily inventory cost = Daily order cost + Daily holding cost + Daily stockout cost = $6.65

= $8 per lost sale * .2 lost sales per day = $1.60 Daily stockout cost = 1Cost per lost sale2 * 1Average number of lost sales per day2

= 50¢ per unit per day * 4.1 units per day = $2.05 Daily holding cost = 1Cost of holding 1 unit for 1 day2 * 1Average ending inventory2

= $10 per order * .3 order per day = $3 Daily order cost = 1Cost of placing 1 order2 * 1Number of orders placed per day2

Now that we have worked through Examples F3 and F4, we want to emphasize something very important: This simulation should be extended many more days before we draw any conclusions as to the cost of the order policy being tested. If a hand simulation is being conducted, 100 days would provide a better representation. If a computer is doing the calculations, 1,000 days would be helpful in reaching accurate cost estimates. (Moreover, remember that even with a 1,000-day simulation, the generated distribution should be compared with the desired distribution to ensure valid results.)

Let us say that Simkin does complete a 1,000-day simulation of the policy from Example F3 (order quantity = 10 drills, reorder point = 5 drills). Does this complete his analysis? The answer is no—this is just the beginning! Simkin must now compare this potential strategy with other possibilities. For example, what about order quantity = 10, reorder point = 4? Or order quantity = 12, reorder point = 6? Or order quantity = 14, reorder point = 5? Perhaps every combination of values—of order quantity from 6 to 20 drills and reorder points from 3 to 10—should be simulated. After simulating all reasonable combinations of order quantities and reorder points, Simkin would likely select the pair yielding the lowest total inventory cost. Problem F.12 in the Lecture Guide & Activities Manual gives you a chance to help Simkin begin this series of comparisons.

626 PART 4 Quantitative Modules

Simulation involves building mathematical models that attempt to act like real operating systems. In this way, a real-world situation can be studied without imposing on the actual system. Although simulation models can be devel- oped manually, simulation by computer is generally more desirable. The Monte Carlo approach uses random numbers

to represent variables, such as inven- tory demand or people waiting in line, which are then simulated in a series of trials. Simulation is widely used as an operations tool because its advantages usually outweigh its disadvantages.

MODULE SUMMARY

Key Terms

Simulation (p. 616) Monte Carlo method (p. 618)

Cumulative probability distribution (p. 618) Random-number intervals (p. 619)

Random number (p. 619)

Using Software in Simulation

Computers are critical in simulating complex tasks. They can generate random numbers, simulate thou- sands of time periods in a matter of seconds or minutes, and provide management with reports that improve decision making. A computer approach is almost a necessity in order to draw valid conclusions from a simulation.

Computer programming languages can help the simulation process. General-purpose languages, such as BASIC or C��, constitute one approach. Special-purpose simulation languages, such as GPSS and SIMSCRIPT, have a few advantages: (1) they require less programming time for large simulations, (2) they are usually more efficient and easier to check for errors, and (3) random-number generators are already built in as subroutines.

Commercial, easy-to-use prewritten simulation programs are also available. Some are generalized to handle a wide variety of situations ranging from queuing to inventory. These include programs such as Extend, Modsim, Witness, MAP/1, Enterprise Dynamics, Simfactory, ProModel, Micro Saint, and ARENA. The OM in Action box above, “Simulating Jackson Memorial Hospital’s Operating Rooms,” described one application of ARENA software.

Spreadsheet software such as Excel can also be used to develop simulations quickly and easily. Such packages have built-in random-number generators and develop outputs through “data-fill” table commands.

Miami’s Jackson Memorial Hospital, Florida’s largest with 1,576 inpatient beds, is also one of the U.S.’s finest. In 1996, it received the highest accreditation score of any public-sector hospital in the country. Jackson’s operations management team is constantly seeking ways of increasing hospital efficiency, and the construction of new operating rooms (ORs) prompted the development of a simulation of the existing 31 ORs.

The OR section of the hospital includes a patient holding area and a patient recovery area, both of which were experiencing problems owing to ineffective scheduling of OR services. A simulation study, modeled using the ARENA software package, sought to maximize use of OR rooms and staff. Inputs to the model included (1) the amount of time a patient waits in the holding area, (2) the specific process the patient undergoes, (3) the staff schedule, (4) room availability, and (5) time of day.

The first hurdle that the management team had to deal with at Jackson was the vast number of records to review to extract the information necessary for the simulation model. The second hurdle was the quality of the data. A thorough analysis of the records determined which were good and which had to be discarded. In the end, Jackson’s carefully screened databases led to a good set of data inputs for the model. The simulation model then successfully developed five measures of performance: (1) number of procedures a day, (2) average case time, (3) staff utilization, (4) room utilization, and (5) average waiting time in the holding area.

Sources: Knight Ridder Tribune Business Service (May 3, 2004): 1; and M. A. Centeno et al., “Challenges of Simulating Hospital Facilities,” Proceedings of the 12th Annual Conference of the Production and Operations Management Society (March 2001).

OM in Action � Simulating Jackson Memorial Hospital’s Operating Rooms

Module F Simulation 627

LO5: Use Excel spreadsheets to create a simulation

Use the RAND function to generate random numbers between 0 and 1.

Use the VLOOKUP function to determine the number of tires sold based on the random number generated and the probability table in C4:E9.

Use the FREQUENCY function to create a frequency table based on the simulation runs in column I.

� PROGRAM F.1 Using Excel to Simulate Tire Demand for Barry’s Auto Tire Shop The output shows a simulated average of 3.2 tires per day (in cell I14).

X Using Excel Spreadsheets The ability to generate random numbers and then “look up” these numbers in a table to associate them with a specific event makes spreadsheets excellent tools for conducting simulations. Program F.1 illus- trates an Excel simulation for Example F1.

Notice that the cumulative probabilities are calculated in column E of Program F.1. This procedure reduces the chance of error and is useful in larger simulations involving more levels of demand.

The function in column I looks up the random number (generated in column H) in the leftmost column of the defined lookup table ($A$4:$B$9). The function moves down- ward through this column until it finds a cell that is bigger than the random number. It then goes to the previous row and gets the value from column B of the table.

In column H, for example, the first random number shown is .716. Excel looked down the left-hand column of the lookup table ($A$4:$B$9) of Program F.1 until it found .85. From the previous row it retrieved the value in column B which is 4. Pressing the F9 function key recalculates the random num- bers and the simulation.

= VLOOKUP = VLOOKUP

Value Cell Excel Formula Action

Cumulative probability A4 =0 Cumulative probability A5 =A4+D4 Copy to A6:A9 Random Number H4 =RAND() Copy to H5:H13 Demand I4 =VLOOKUP(H4,$A$4:$B$9,2,TRUE) Copy to I5:I13 Average I14 =AVERAGE(I4:I13) Frequency C18 =FREQUENCY($I$4:$I$13,$B$18:$B$23) Array copy to C19:C23 Total C24 =SUM(C18:C23) Percentage D18 =C18/$C$24 Copy to D19:D23 Average simulated

demand D25 =SUMPRODUCT(B18:B23,D18:D23) Cumulative Percentage E18 =D18 Cumulative Percentage E19 =E18+D19 Copy to E20:E23

Press the F9 Key to simulate

628 PART 4 Quantitative Modules

Solved Problems Virtual Office Hours help is available at www.myomlab.com

a) If Higgins maintains a constant supply of 8 water heaters in any given week, how many times will he stockout during a 20-week simulation? We use random numbers from the 7th column of Table F.4 (on p. 619), beginning with the random digit 10.

b) What is the average number of sales per week over the 20- week period?

c) Using an analytic nonsimulation technique, determine the expected number of sales per week. How does this compare with the answer in part (b)?

� SOLVED PROBLEM F.1 Higgins Plumbing and Heating maintains a stock of 30-gallon water heaters that it sells to homeowners and installs for them. Owner Jim Higgins likes the idea of having a large supply on hand to meet any customer demand. However, he also recognizes that it is expensive to do so. He examines water heater sales over the past 50 weeks and notes the following:

Water Heater Number of Weeks This Sales per Week Number Was Sold

4 6 5 5 6 9 7 12 8 8 9 7

10 3 50 weeks total data

� SOLUTION

Cumulative Random-Number Heater Sales Probability Probability Intervals

4 .12 .12 01 through 12 5 .10 .22 13 through 22 6 .18 .40 23 through 40 7 .24 .64 41 through 64 8 .16 .80 65 through 80 9 .14 .94 81 through 94

10 .06 1.00 95 through 00 1.00

a)

Random Simulated Random Simulated Week Number Sales Week Number Sales

1 10 4 11 08 4 2 24 6 12 48 7 3 03 4 13 66 8 4 32 6 14 97 10 5 23 6 15 03 4 6 59 7 16 96 10 7 95 10 17 46 7 8 34 6 18 74 8 9 34 6 19 77 8

10 51 7 20 44 7

PX Using POM for Windows and Excel OM POM for Windows and Excel OM are capable of handling any simulation that contains only one random variable, such as Example F1. For further details, please refer to Appendix IV.

Module F Simulation 629

� SOLVED PROBLEM F.2 Random numbers may be used to simulate continuous distribu- tions. As a simple example, assume that fixed cost equals $300, profit contribution equals $10 per item sold, and you expect an equally likely chance of 0 to 99 units to be sold. That is, profit equals , where X is the number sold. The mean amount you expect to sell is 49.5 units. a) Calculate the expected value. b) Simulate the sale of 5 items, using the following double-digit

randomly-selected numbers of items sold: 37 77 13 10 85

c) Calculate the expected value of part (b) and compare with the results of part (a).

- $300 + $10X

� SOLUTION a) Expected value

b)

c) The mean of these simulated sales is $144. If the sample size were larger, we would expect the two values to be closer.

– 300 + $101852 = $550 – 300 + $101102 = – $200 – 300 + $101132 = – $170 – 300 + $101772 = $470 – 300 + $101372 = $70

= - 300 + 10149.52 = $195

With a supply of 8 heaters, Higgins will stock out three times during the 20-week period (in weeks 7, 14, and 16).

b) Average sales by simulation c) Using expected values, we obtain:

With a longer simulation, these two approaches will lead to even closer values.

+ .14192 + .061102 = 6.88 heaters + .18162 + .24172 + .16182

E 1sales2 = .1214 heaters2 + .10152

= total sales>20 weeks = 135>20 = 6.75 per week

Bibliography

Al-Zubaidi, H., and D. Tyler. “A Simulation Model of Quick Response Replenishment of Seasonal Clothing.” International Journal of Retail and Distribution Management 32 (2004): 320.

Balakrishnan, R., B. Render, and R. M. Stair. Managerial Decision Modeling with Spreadsheets, 2nd ed. Upper Saddle River, NJ: Prentice Hall (2007).

Banks, Jerry and Randall R. Gibson “The ABC’s of Simulation Practice.” Analytics (Spring 2009): 16–23.

Banks, J., J. S. Carson, B. L. Nelson, and D. M. Nicol. Discrete- Event System Simulation, 5th ed. Upper Saddle River, NJ: Prentice Hall (2010).

Gavirneni, S., D. J. Morrice, and P. Mullarkey. “Simulation Helps Maxager Shorten Its Sales.” Interfaces 2 (March–April 2004): 87–96.

Huang, H. C., et al. “Sim Man—A Simulation Model for Workforce Capacity Planning.” Computers & Operations Research 196, no. 3 (August 1, 2009): 1147.

Kelton, W. D., R. P. Sadowski, and N. B. Swets, Simulation with Arena, 5th ed. New York: McGraw-Hill (2010).

Law, A. Simulation Modeling and Analysis, 4th ed. New York: McGraw-Hill (2007).

Render, B., R. M. Stair, and M. Hanna. Quantitative Analysis for Management, 10th ed. Upper Saddle River, NJ: Prentice Hall (2009).

Rossetti, Manuel D. Simulation Modeling and ARENA. New York: Wiley (2009).

Saltzman, Robert M., and Vijay Mehrotra. “A Call Center Uses Simulation to Drive Strategic Change.” Interfaces 31, no. 3 (May–June 2001): 87–101.

Sud, V. P., et al. Reducing Flight Delays Through Better Traffic Management. Interfaces 39, no. 1 (January/February 2009): 35–51.

Taylor, S. J .E., et al. “Simulation Modelling Is 50.” The Journal of the Operational Research Society 60, no. S1 (May 2009): S69–S13.

Thompson, G. M., and R. Verma. “Computer Simulation in Hospitality Teaching, Practice and Research.” Cornell Hotel and Restaurant Administration Quarterly 44 (April 2003): 85.

�Additional Case Study: Visit www.myomlab.com or www.pearsonhighered.com/heizer for this free case study: Saigon Transport: This Vietnamese shipping company is trying to determine the ideal truck fleet size

This page intentionally left blank

A1

APPENDIX I Normal Curve Areas

APPENDIX II Values of e for Use in the Poisson Distribution

APPENDIX III Table of Random Numbers

APPENDIX IV Using Excel OM and POM for Windows

–l

Appendices

A2 Appendix I

1.55

1.55

Standard Deviations

0 Mean Z

Area is .93943

To find the area under the normal curve, you can apply either Table I.1 or Table I.2. In Table I.1, you must know how many standard deviations that point is to the right of the mean. Then, the area under the normal curve can be read directly from the normal table. For example, the total area under the normal curve for a point that is 1.55 standard deviations to the right of the mean is .93943.

TABLE I.1 Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09

.0 .50000 .50399 .50798 .51197 .51595 .51994 .52392 .52790 .53188 .53586

.1 .53983 .54380 .54776 .55172 .55567 .55962 .56356 .56749 .57142 .57535

.2 .57926 .58317 .58706 .59095 .59483 .59871 .60257 .60642 .61026 .61409

.3 .61791 .62172 .62552 .62930 .63307 .63683 .64058 .64431 .64803 .65173

.4 .65542 .65910 .66276 .66640 .67003 .67364 .67724 .68082 .68439 .68793

.5 .69146 .69497 .69847 .70194 .70540 .70884 .71226 .71566 .71904 .72240

.6 .72575 .72907 .73237 .73565 .73891 .74215 .74537 .74857 .75175 .75490

.7 .75804 .76115 .76424 .76730 .77035 .77337 .77637 .77935 .78230 .78524

.8 .78814 .79103 .79389 .79673 .79955 .80234 .80511 .80785 .81057 .81327

.9 .81594 .81859 .82121 .82381 .82639 .82894 .83147 .83398 .83646 .83891 1.0 .84134 .84375 .84614 .84849 .85083 .85314 .85543 .85769 .85993 .86214 1.1 .86433 .86650 .86864 .87076 .87286 .87493 .87698 .87900 .88100 .88298 1.2 .88493 .88686 .88877 .89065 .89251 .89435 .89617 .89796 .89973 .90147 1.3 .90320 .90490 .90658 .90824 .90988 .91149 .91309 .91466 .91621 .91774 1.4 .91924 .92073 .92220 .92364 .92507 .92647 .92785 .92922 .93056 .93189 1.5 .93319 .93448 .93574 .93699 .93822 .93943 .94062 .94179 .94295 .94408 1.6 .94520 .94630 .94738 .94845 .94950 .95053 .95154 .95254 .95352 .95449 1.7 .95543 .95637 .95728 .95818 .95907 .95994 .96080 .96164 .96246 .96327 1.8 .96407 .96485 .96562 .96638 .96712 .96784 .96856 .96926 .96995 .97062 1.9 .97128 .97193 .97257 .97320 .97381 .97441 .97500 .97558 .97615 .97670 2.0 .97725 .97784 .97831 .97882 .97932 .97982 .98030 .98077 .98124 .98169 2.1 .98214 .98257 .98300 .98341 .98382 .98422 .98461 .98500 .98537 .98574 2.2 .98610 .98645 .98679 .98713 .98745 .98778 .98809 .98840 .98870 .98899 2.3 .98928 .98956 .98983 .99010 .99036 .99061 .99086 .99111 .99134 .99158 2.4 .99180 .99202 .99224 .99245 .99266 .99286 .99305 .99324 .99343 .99361 2.5 .99379 .99396 .99413 .99430 .99446 .99461 .99477 .99492 .99506 .99520 2.6 .99534 .99547 .99560 .99573 .99585 .99598 .99609 .99621 .99632 .99643 2.7 .99653 .99664 .99674 .99683 .99693 .99702 .99711 .99720 .99728 .99736 2.8 .99744 .99752 .99760 .99767 .99774 .99781 .99788 .99795 .99801 .99807 2.9 .99813 .99819 .99825 .99831 .99836 .99841 .99846 .99851 .99856 .99861 3.0 .99865 .99869 .99874 .99878 .99882 .99886 .99899 .99893 .99896 .99900 3.1 .99903 .99906 .99910 .99913 .99916 .99918 .99921 .99924 .99926 .99929 3.2 .99931 .99934 .99936 .99938 .99940 .99942 .99944 .99946 .99948 .99950 3.3 .99952 .99953 .99955 .99957 .99958 .99960 .99961 .99962 .99964 .99965 3.4 .99966 .99968 .99969 .99970 .99971 .99972 .99973 .99974 .99975 .99976 3.5 .99977 .99978 .99978 .99979 .99980 .99981 .99981 .99982 .99983 .99983 3.6 .99984 .99985 .99985 .99986 .99986 .99987 .99987 .99988 .99988 .99989 3.7 .99989 .99990 .99990 .99990 .99991 .99991 .99992 .99992 .99992 .99992 3.8 .99993 .99993 .99993 .99994 .99994 .99994 .99994 .99995 .99995 .99995 3.9 .99995 .99995 .99996 .99996 .99996 .99996 .99996 .99996 .99997 .99997

APPENDIX I N O R M A L C U R V E A R E A S

Appendix I A3

TABLE I.2 Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09

0.0 .00000 .00399 .00798 .01197 .01595 .01994 .02392 .02790 .03188 .03586 0.1 .03983 .04380 .04776 .05172 .05567 .05962 .06356 .06749 .07142 .07535 0.2 .07926 .08317 .08706 .09095 .09483 .09871 .10257 .10642 .11026 .11409 0.3 .11791 .12172 .12552 .12930 .13307 .13683 .14058 .14431 .14803 .15173 0.4 .15542 .15910 .16276 .16640 .17003 .17364 .17724 .18082 .18439 .18793 0.5 .19146 .19497 .19847 .20194 .20540 .20884 .21226 .21566 .21904 .22240 0.6 .22575 .22907 .23237 .23565 .23891 .24215 .24537 .24857 .25175 .25490 0.7 .25804 .26115 .26424 .26730 .27035 .27337 .27637 .27935 .28230 .28524 0.8 .28814 .29103 .29389 .29673 .29955 .30234 .30511 .30785 .31057 .31327 0.9 .31594 .31859 .32121 .32381 .32639 .32894 .33147 .33398 .33646 .33891 1.0 .34134 .34375 .34614 .34850 .35083 .35314 .35543 .35769 .35993 .36214 1.1 .36433 .36650 .36864 .37076 .37286 .37493 .37698 .37900 .38100 .38298 1.2 .38493 .38686 .38877 .39065 .39251 .39435 .39617 .39796 .39973 .40147 1.3 .40320 .40490 .40658 .40824 .40988 .41149 .41309 .41466 .41621 .41174 1.4 .41924 .42073 .42220 .42364 .42507 .42647 .42786 .42922 .43056 .43189 1.5 .43319 .43448 .43574 .43699 .43822 .43943 .44062 .44179 .44295 .44408 1.6 .44520 .44630 .44738 .44845 .44950 .45053 .45154 .45254 .45352 .45449 1.7 .45543 .45637 .45728 .45818 .45907 .45994 .46080 .46164 .46246 .46327 1.8 .46407 .46485 .46562 .46638 .46712 .46784 .46856 .46926 .46995 .47062 1.9 .47128 .47193 .47257 .47320 .47381 .47441 .47500 .47558 .47615 .47670 2.0 .47725 .47778 .47831 .47882 .47932 .47982 .48030 .48077 .48124 .48169 2.1 .48214 .48257 .48300 .48341 .48382 .48422 .48461 .48500 .48537 .48574 2.2 .48610 .48645 .48679 .48713 .48745 .48778 .48809 .48840 .48870 .48899 2.3 .48928 .48956 .48983 .49010 .49036 .49061 .49086 .49111 .49134 .49158 2.4 .49180 .49202 .49224 .49245 .49266 .49286 .49305 .49324 .49343 .49361 2.5 .49379 .49396 .49413 .49430 .49446 .49461 .49477 .49492 .49506 .49520 2.6 .49534 .49547 .49560 .49573 .49585 .49598 .49609 .49621 .49632 .49643 2.7 .49653 .49664 .49674 .49683 .49693 .49702 .49711 .49720 .49728 .49736 2.8 .49744 .49752 .49760 .49767 .49774 .49781 .49788 .49795 .49801 .49807 2.9 .49813 .49819 .49825 .49831 .49836 .49841 .49846 .49851 .49856 .49861 3.0 .49865 .49869 .49874 .49878 .49882 .49886 .49889 .49893 .49897 .49900 3.1 .49903 .49906 .49910 .49913 .49916 .49918 .49921 .49924 .49926 .49929

0 1.55

Mean Z

Area shaded is .43943

1.55 Standard Deviations

As an alternative to Table I.1, the numbers in Table I.2 represent the proportion of the total area away from the mean, , to one side. For example, the area between the mean and a point that is 1.55 standard deviations to its right is .43943.

m

A4 Appendix III

APPENDIX III TA B L E O F R A N D O M N U M B E R S

APPENDIX II VA L U E S O F e F O R U S E I N T H E P O I S S O N D I S T R I B U T I O N

–l

Values of

.0 1.0000 1.6 .2019 3.1 .0450 4.6 .0101

.1 .9048 1.7 .1827 3.2 .0408 4.7 .0091

.2 .8187 1.8 .1653 3.3 .0369 4.8 .0082

.3 .7408 1.9 .1496 3.4 .0334 4.9 .0074

.4 .6703 2.0 .1353 3.5 .0302 5.0 .0067

.5 .6065 2.1 .1225 3.6 .0273 5.1 .0061

.6 .5488 2.2 .1108 3.7 .0247 5.2 .0055

.7 .4966 2.3 .1003 3.8 .0224 5.3 .0050

.8 .4493 2.4 .0907 3.9 .0202 5.4 .0045

.9 .4066 2.5 .0821 4.0 .0183 5.5 .0041 1.0 .3679 2.6 .0743 4.1 .0166 5.6 .0037 1.1 .3329 2.7 .0672 4.2 .0150 5.7 .0033 1.2 .3012 2.8 .0608 4.3 .0136 5.8 .0030 1.3 .2725 2.9 .0550 4.4 .0123 5.9 .0027 1.4 .2466 3.0 .0498 4.5 .0111 6.0 .0025 1.5 .2231

e–lle–lle–lle–ll

e–l

52 06 50 88 53 30 10 47 99 37 66 91 35 32 00 84 57 07 37 63 28 02 74 35 24 03 29 60 74 85 90 73 59 55 17 60 82 57 68 28 05 94 03 11 27 79 90 87 92 41 09 25 36 77 69 02 36 49 71 99 32 10 75 21 95 90 94 38 97 71 72 49 98 94 90 36 06 78 23 67 89 85 29 21 25 73 69 34 85 76 96 52 62 87 49 56 59 23 78 71 72 90 57 01 98 57 31 95 33 69 27 21 11 60 95 89 68 48 17 89 34 09 93 50 44 51 50 33 50 95 13 44 34 62 64 39 55 29 30 64 49 44 30 16 88 32 18 50 62 57 34 56 62 31 15 40 90 34 51 95 26 14 90 30 36 24 69 82 51 74 30 35 36 85 01 55 92 64 09 85 50 48 61 18 85 23 08 54 17 12 80 69 24 84 92 16 49 59 27 88 21 62 69 64 48 31 12 73 02 68 00 16 16 46 13 85 45 14 46 32 13 49 66 62 74 41 86 98 92 98 84 54 33 40 81 02 01 78 82 74 97 37 45 31 94 99 42 49 27 64 89 42 66 83 14 74 27 76 03 33 11 97 59 81 72 00 64 61 13 52 74 05 81 82 93 09 96 33 52 78 13 06 28 30 94 23 37 39 30 34 87 01 74 11 46 82 59 94 25 34 32 23 17 01 58 73 59 55 72 33 62 13 74 68 22 44 42 09 32 46 71 79 45 89 67 09 80 98 99 25 77 50 03 32 36 63 65 75 94 19 95 88 60 77 46 63 71 69 44 22 03 85 14 48 69 13 30 50 33 24 60 08 19 29 36 72 30 27 50 64 85 72 75 29 87 05 75 01 80 45 86 99 02 34 87 08 86 84 49 76 24 08 01 86 29 11 53 84 49 63 26 65 72 84 85 63 26 02 75 26 92 62 40 67 69 84 12 94 51 36 17 02 15 29 16 52 56 43 26 22 08 62 37 77 13 10 02 18 31 19 32 85 31 94 81 43 31 58 33 51

Source: Excerpted from A Million Random Digits with 100,000 Normal Deviates, The Free Press (1955): 7, with

permission of the RAND Corporation.

Appendix IV A5

� PROGRAM IV.1A Excel OM Modules Menu in Add-Ins Tab in Excel 2007

APPENDIX IV U S I N G E X C E L O M A N D P O M F O R W I N D O W S Two approaches to computer-aided decision making are provided with this text: Excel OM and POM (Production and Operations Management) for Windows. These are the two most user- friendly software packages available to help you learn and understand operations management. Both programs can be used either to solve homework problems identified with a computer logo or to check answers you have developed by hand. Both software packages use the standard Windows interface and run on any IBM-compatible PC operating Windows XP or better.

EXCEL OM Excel OM has also been designed to help you to better learn and understand both OM and Excel. Even though the software contains 24 modules and more than 50 submodules, the screens for every module are consistent and easy to use. Modules can be accessed through either of two menus that are added to Excel. The Heizer menu lists the modules in chapter order as illustrated for Excel 2007 in Program IV.1a. The Excel OM menu lists the modules in alphabetical order, as illustrated for earlier versions of Excel in Program IV.1b. This software is provided at no cost to purchasers of this textbook at our Web sites, www.pearsonhighered.com/heizer and www. myomlab.com. Excel 2000 or better must be on your PC.

To install Excel OM, after the web page opens, click on the Software option on the left hand side, click on Excel OM (version 3) and follow the instructions. Default values have been assigned in the setup program, but you may change them if you like. The default folder into which the program will be installed is named C:\ProgramFiles\ExcelOM3, and the default name

A6 Appendix IV

for the program group placed in the START menu is Excel OM 3. Generally speaking, it is sim- ply necessary to click NEXT each time the installation asks a question.

Starting the Program To start Excel OM, double-click on the Excel OM 3 shortcut placed on the desktop during installation. Alternatively, you may click on START, PROGRAMS, EXCEL OM 3. In Excel 2007 the Excel OM menu will appear in the Add-Ins tab of the Excel 2007 ribbon as displayed in Program IV.1a, while in earlier versions of Excel the Excel OM menu will appear in the main menu of Excel as displayed in Program IV.1b.

If you have Excel 2007 and do not see an Add-Ins Tab on the Ribbon or do not see Excel OM 3 on this tab as displayed in Program IV.1a, then your Excel 2007 security settings need to be revised to enable Excel OM 3. Please consult the Excel 2007 instructions at the support site, www.prenhall.com/weiss.

Excel OM serves two purposes in the learning process. First, it can simply help you solve homework problems. You enter the appropriate data, and the program provides numerical solu- tions. POM for Windows operates on the same principle. However, Excel OM allows for a sec- ond approach; that is, noting the Excel formulas used to develop solutions and modifying them to deal with a wider variety of problems. This “open” approach enables you to observe, under- stand, and even change the formulas underlying the Excel calculations, hopefully conveying Excel’s power as an OM analysis tool.

POM FOR WINDOWS POM for Windows is decision support software that is also offered free to students who purchased this text and is available at our Web sites www.pearsonhighered.com/heizer and

� PROGRAM IV.1B Excel OM Modules Menu in Main Excel Menu for Versions of Excel Prior to Excel 2007

Appendix IV A7

� PROGRAM IV.2 POM for Windows Module List

Instruction notes are here to help explain what to do next.

www.myomlab.com. Program IV.2 shows a list of 24 OM modules on the Web site that will be installed on your hard drive. Once you follow the standard setup instructions, a POM for Windows program icon will be added to your start menu and desktop. The program may be accessed by double-clicking on the icon. Updates to POM for Windows are available on the Internet through the Pearson download library, found at www.prenhall.com/weiss.

This page intentionally left blank

Name Index

Bridger, R. S., 331 Brockman, Beverly K., 152 Broedner, P., 21 Brown, G.R., 566 Brown, Mark G., 175 Buboltz, W.C., 309n Buchannan, Leigh, 546 Burke, Robert, 515 Burt, D. N., 405

Caiola, Gene, 463 Camevalli, J. A., 152 Campbell, Omar, 121 Canonaco, P, 604 Cavanagh, R. R., 175 Cayirli, Tugba, 494 Centeno, M.A., 626 Chambers, Chester, 250 Champy, James, 369 Chan, L.Y.S., 608 Chang, Y, 226 Chankong, V, 302 Chapman, Steven N., 405, 494 Chen, Fangruo, 431 Cheng, H. K., 250 Chopra, Sunil, 250, 358, 405 Chowdhury, S., 165n Chu, K., 581 Chua, R. C. H. 175, 199 Chung, T.K.H., 608 Chung-Yee Lee, 369 Cleland. D. L., 81 Clive, L. M., 405 Cochran, J.K., 604 Colville, G., 431 Combs, James, G., 358 Conway, Richard W., 405 Couto, J. P., 614 Cox, Jeff, 237, 237n Crandall, Richard E. 463 Crook, T. Russell, 358 Crosby, Philip B., 175, 158n, 159 Crotts, J. C., 45 Cua, Kristy O., 530 Cunningham, James, 608

Dada, Maqbool, 405 Dahlgaard, J. J., 199 daSilva, C.G., 566 Davenport, T. H., 226 Davis, Stanley B. 199 Debo, L. G., 226 DeFeo, J.A., 175, 199 DeHoratius, N., 379n DeJong.A. K., 331 Dell, F., 566 Dellande, S., 45

Deltas, G. 175 De Matteis, J. J., 449n Deming, W. Edwards, 9, 158, 159n, 160,

160n, 161n, 178n Deng, Honghui, 494 Denton, Brian T., 271, 566 DeRuyter, K., 331 Deshmukh, S. 250 Dibbern, J., 369 Dickson, D. R., 45 Diebold, F. X., 121 Dietrich, Brenda, 494 Dogan, K., 250 Doll, William, 134n Drezner, Zvi, 271, 581 Duran, G., 566 Duray, R., 226

Einicki, R.A., 250 Elg, M., 199 Elnekave, M., 331 Eppinger, S., 152 Ernst, David, 152 Espinosa, J.A., 614 Evans, J. R., 175

Farmer, Adam, 494 Feigenbaum, Armand. V., 159, 175 Ferguson, M., 226 Fildes, Robert, 121 Finigen, Tim, 530 Fisher, M. L., 337 Fisscher, O., 158n Fitzsimmons, James, 265n Fleut, Nicholas, 302 Flinchbauh, Jamie, 515 Florida, R., 271 Flynn, Barbara B., 45 Flynn, E. J., 45 Ford, Henry, 9 Ford, R. C., 45 Fok, W.Y., 608 Fornell, C. 363n Francis, R. L., 302 Freivaids, A., 331 Friedman, Thomas, 45, 369 Fry, P., 101n

Galt, J., 121 Gantt, Henry L., 9 Gardiner, Stanley C., 250 Gattiker, Thomas, 463 Gavirneni, S., 629 Georgoff, D. M., 121 Geraghty, Kevin, 494 Gerwin, Donald, 152 Gianipero, L. C., 358

Abbernathy, Frederick H., 405 Adenso-Diaz, B., 463 Aft, Larry, 331 Akturk. M.S., 302 Al-Zubzici, H., 629 Ambec, Stefan, 152 Anthony, T. E, 70n Anupindi, Ravi, 250 Arnold, J.R., 405 Aron, R., 369 Ashkenas, R. N., 81 Ata, Asad, 250 Atamturk. A., 250

Bagley, Constance, 541 Baker, Kenneth A., 494 Bakir, S.T., 199 Balakrishnan, R., 81, 121, 562n, 566,

581, 604, 629, 546 Ballou, Ronald H., 271 Bamford, James, 152 Banks, Jerry, 629 Barba-Gutierrez, Y., 463 Barber, Felix, 331 Bard, J., 494, 566 Barnes, R. M., 331 Bartness, Andrew D., 271 Baruch,Keren, 405 Bassett, Glenn, 425 Bauer, Eric, 530 Beatty, Richard W., 331 Becker, Brian E., 331 Beckman, S. L., 45 Bell, Steve, 463 Benton, W. C., 405 Berenson, Mark L., 121 Berry, W.L., 226, 405, 431 Berry, Leonard L., 174 Besterfield, Dale, H., 175, 199 Billington, P., 397n Birchfield, C., 302 Birchfield, J. C., 302 Blackburn, Joseph, 358 Blackstone, John H., 250 Blank, Ronald, 530 Blecker, Thorsten, 358 Bolander, Steven, 463, 494 Boh, W. F., 614 Bowen, H. Kent, 512n Bowers, John, 250 Bowman, E. H., 422, 422n Boyd, L. H., 250 Boyer, Kenneth K, 358 Bradley, James R., 405 Bradley, Morrison J., 614 Brandl, Dennis, 250 Bravard, J., 369

I1

Note: Page numbers beginning with a T refer to the Online Tutorial chapters that appear on our website www.pearsonhighered.com/heizer.

I2 Name Index

Inoue, L. 546 Ireland, L. R., 42 Ireland, R.D., 42, 81, 546

Jack, Eric P., 250 Jacobs, F. R., 405, 431 Jain, Chaman L., 121 Jayaraman, V., 358 Jennings, Daniel F, 463 Johnson, Alan, 302 Johnson, M. Eric, 216, 226 Johnson, Steven, 331 Jones, Daniel T., 516 Jonsson, Patrik, 250 Joshi, M. P., 45 Juran, J. M., 158, 158n, 159, 167

Kahn, Judd, 45, 369 Kanet, J., 463 Kanter, Rosabeth, 129n Kao, John, 129n Kaplan, Robert. S., 45 Karason, O.Y., 302 Karlos, A. 81 Kathuria, R., 45 Kator, C., 302 Keating, B., 121 Kee, Micah R., 302 Keefer, Donald L., 546 Keeps, David, A., 302 Kekre, Sunder, 250 Kellogg, Deborah L., 494 Kelly, J. E., 55 Kelton, W. D., 629 Kennedy. M., 271 Kenny, R.L., 546 Keren, Baruch, 405 Kersten, Wolfgang, 358 Kerzner, H., 81 Keyte, Beau, 515 Khanna, M., 175 Kimber, D. A., 530 Kimes, Sheryl, 265n, 431 King-Metters, K., 431 Kinkel, S., 21 Kirchmier, Bill, 494 Klamroth, K., 271 Klassen, R., 358 Koehn, D., 158n Koh, S. C. L., 463 Kohne, E. J. 358 Koksalan, M., 581 Konz, S., 331 Kopezak, Laura Rock, 216 Koronacki, J., 178n Koufteros, Xenophon, 134n Krehbiel, Tim, 121 Kreipl, Stephan, 358 Krishnan, M.S., 363n Krishnan, V., 152 Krupp, James A. G., 463 Kuo, C., 262n

Labach, Elaine J., 212 Laborde, J., 369 Lai, P., 175

Langella, I. M., 226 Lanoie, Paul, 152 Larson, E. W., 81 Larson, Jan, 608 Larson, S., 302 Law, A. 629 Lawrence, Barry F, 463 Lawrence, M., 121 Lay, G., 21 Lee, Hau L., 369 Leidner, Dorothy, 369 Lemmink, J., 331 Leonard, M., 121 Leong, G. K., 358, 494 Leppa, Carol J., 516 Levine, David M., 121 Lewis, Mike, 45 Lewis, William W., 21 Lian, Z., 405 Liker, Jeffrey K, 515 Lin, H. 199 Lindner, C. A., 324n Lindsay, William M., 175 Ling, F.Y.Y., 81 Linton, J. D., 358 Liu, X., 405 Loch, Christopher H., 152 Locher, Drew, 515 Lopez, P., 494

MacLean, D., 152 Mahan, Michael, 302 Malykhina, E., 379n Mantel, S., 81 Maroto, A., 21 Martin, C. H., 566 Marucheck, Ann S., 358 Matta, N. F, 81 Matthes, N., 199 Mattsson, Stig-Arne, 250 Maylor, Harvey, 81 McAllister, V.C., 604 McDonald, A. 614 McDonald, Stan C., 405 McGinnis. L. F., 302 McKone, Kathleen E., 530 McLaren, T., 614 McLeavey, D. W., 397n Medina-Borja, A. 566 Mehrotra, Vijay, 629 Meindl, Peter, 358 Melby, B. M., 369 Melnyk, Steven A., 291n Mentzer, John T., 271 Meredith, J. R., 81 Merrick, Amy, 339n Messel, Gregg, 515 Messner, W., 369 Metters, Richard, 431 Midler, Paul, 369 Miguel, P.A.C., 152 Miller, C.C., 546 Miller, Luke T., 494 Milligan, G.W., 226 Mitra, Amit, 175, 199 Modigliani, Franco, 422n

Gibson, Randall, 629 Gilad, I., 331 Gilbreth, Frank, 9, 317 Gilbreth, Lillian, 9, 317 Gilliland, M., 121 Gilmore, James H., 226 Gitlow, Howard, S., 175 Goetsch, David L., 199 Goldratt, Eliyahu, 237, 237n, 250 Gonul, M.S., 121 Gonzalez-Benito, J., 175 Gonzalez-Benito, O., 175 Goodale, John C., 250 Goodwin, Paul, 121 Graban, Mark, 515 Gray, C. L., 81 Greenwald, Bruce C., 21, 45, 369 Groebner, D., 101n Gross, Donald, 604 Gross, E. E. Jr., 313 Gryna F. M. 175, 199 Guergachi, A., 614 Gultekin, H., 302 Gupta, M.C., 250 Gupta, S. M., 463

Hackman, J. R., 309, 309n Hall, Joseph M., 226 Hall, Robert W., 515 Halvey, J. K., 369 Hammond, J.S., 546 Handfield, R. B., 358 Hanke, J. E., 121 Hanna, M., 81, 121, 271, 405, 494, 546,

562, 566, 581, 604, 629 Hansen, Bertrand, 190 Harrington, D. R., 175 Harris, Carl M., 604 Harrod, Stephen, 566 Hazelwood, R.N., 599n Hegde.V. G., 226 Heinzl, A. 369 Heizer, Jay, 121 Helgadottir, Hilder, 81 Helms, A. S., 324n Heragu, S. S., 302 Heyer, N., 302 Hill, R. R., 70n Hirschheim, R., 369 Hitt, M., 42 Hochbaum, D. S., 250 Holt, Charles C., 422n Hopp, Wallace J., 431 Hoskisson, R. E., 42 Hounshell, D. A., 21 Hu, J., 358 Huang, H. C., 629 Huang, L. 21 Huang, T., 21 Hueter, Jackie, 19 Hult, G. Thomas M., 358 Humphries, Jim, 530 Huselid, Mark A., 331

Immonen, A., 152 Inderfurth, Karl, 226

Name Index I3

Simon, Herbert, 422n Singh, J. V., 369 Singhal,V. R., 358 Sinha, K. K. 358 Skinner, Wickham, 45 Slack, Nigel, 45 Slaughter, S.A., 614 Smith, Adam, 308 Smith, Bernard, 115n Smith, Davis, B., 608 Smith Gerald, 191n Smith, Jeffrey S., 494 Smith, K., 101n Smunt, T. L., 614 Snir, Eli, M., 250 Sodhi, M.S., 566 Snyder, L. V., 271 Soltani, E., 175 Sorensen, Charles, 9 Sova, Roger, 530 Spear, Steven J., 512n Spearman, Mark L., 431 Spigener, J.B., 194 Sprague, Linda G., 21 Sridharan, V., 463 Stair, Jr., Ralph, 81, 121, 271,

405, 494, 546, 562, 566, 581, 604, 629

Stanford, D.A., 604 Stanley, L.L., 358 Stanowy, A., 302 Starr, Martin K., 422n Stephens, M. P., 530 Stern, Scott, 254, 271 Stewart, D. M., 175 Strack, Rainer, 331 Su, J. C. P., 226 Sud. V. P., 629 Summer, M., 463 Summers, Donna, 175, 199 Sun, S. X., 494 Sural, H., 581 Swamidass, Paul M., 226 Swart, W., 19 Swets, N. B., 629

Tabatabai, Bijan, 121 Taguchi, Genichi, 165, 165n Tallman, Stephen, 271 Tan, K. C, 358 Tangen, S., 21 Taylor, Bernard, 566, 581 Taylor, Frederick W., 9, 21, 311, 317,

321, 463, 494 Taylor, S. J. E., 629 Taylor, Terry A., 431 Teixeira, J. C., 614 Terwiesch, C., 152 Thomas, A., 309n Thomas, A. R., 369 Thompson, A. A., 444 Thompson, Gary M., 431, 629 Thompson, J. R., 178n Thompson, James, M., 604 Tibben-Lembke, Ronald S. 250 Tippet, L., 325

Pinedo, Michael, 358, 494 Ping, J., 581 Pinkerton, R., 405 Pisano, Gary P., 152, 358 Plambeck, Erica L., 431 Plenert, Gerhard, 494 Pokladnik, F. M., 70n Polak, G.G., 566 Porter, Michael, 38n, 45, 254, 271 Prabhu, N. U., 604 Pullman, Madeline E., 250, 431 Pyke. D. F., 431

Raiffa, H., 546 Raman, A. 379n Ramaswami, C. 604 Raturi, Amitabh S., 350 Reinhardt, Gilles, 405 Render, Barry, 81, 121, 271, 405, 494,

546, 562, 566, 581, 604, 629 Renouf, E., 604 Reynolds, Brian E., 463 Roche, K., 604 Roodbergen, K. J., 302 Rosenfield, D. B., 45 Rosseti, Manuel D., 629 Roth, H. P., 199 Roubellat, F., 494 Rubalcaba, L., 21 Rubin, Paul, 405 Rudberg, Martin, 45 Rugtusanatham, Johnny M., 226

Saad, S.M., 463 Saaksvuori, A., 152 Sadikoglu, E., 331 Sadowski. R.P., 629 Sahay, B. S., 21 Saltzman, Robert M., 629 Salvador, Fabrizio, 226 Salvendy, G., 331 Samaddar, S., 431 San, G., 21 Sanders, N.R., 566 Schlaifer, R., 546 Schmeidler, Neil, 331 Schmenner, Roger, W., 581 Schniederjans, Ashlyn, 360n Schniederjans, Dara, 360n Schniederjans, Marc J., 360n Schonberger, Richard J., 516 Schrattenholzer, L., 614 Schroeder, Roger G., 45, 175, 530 Scudder, Gary, 358 Segerstedt, A., 463 Seider, Warren D., 152 Shah, Pigush, 121 Shannon, P., 101n Sharafali, M., 604 Shaw, B.W., 324n Sheen, G., 199 Shewhart, Walter, 9, 161, 161n Shortle, John F., 590, 604 Siggelkow, Nicolaj, 45 Silver, E. A., 431 Simmons, B., L., 331

Moeeni, R. 226 Moncrief, Stephen, 463 Monczka, R. M., 358 Mondschein, Susana V., 494 Montgomery, D.C., 199 Morgan, James M., 515 Morgan, R., 369 Morgan, Robert M., 152 Morrice, D.M., 629 Morton, Thomas E., 494 Mukhopadhyay, S., 431 Mullarkey, P., 629 Munson, C.L., 358 Murdick, Robert G., 121 Muth, John F, 422n Muther, Richard, 278 Muthasamy, S. K., 331

Narasimhan, S., 397n Narayanan, Sriram, 358 Nayebpour, M.P., 158n Nelson, B.L., 629 Nelson-Peterson, Dana L., 516 Neuman. R. P., 175 Neureuther, B.D., 566 Newman, A.M., 566 Ngwenyama, O. 614 Nicol, D.M., 629 Niebel, B., 321 Niemann, G., 323 Nijhof, A. 158n Noblitt, James M., 405 Norri, S. 566 Norris, G, 463 Norton, David P., 45

Oates, David, 81 Oberwetter, R. 426n Ohno, Taiichi, 511 O’Connell, Andrew, 546 Oldham, Greg R., 309, 309n Olsson, J., 199 Onkal, D., 121 O’Sullivan, Jill, 463

Pagell, Mark, 291n Palar, M. 604 Paleologo, G. A., 494 Panchalavarapu, P. R., 174, 302 Pande, R. S., 175 Parasuraman, A., 174 Pareto, Vifredo, 167, 375 Parmigiani, F. 546 Parks, Charles M. 516 Partovi, F.Y., 271 Pasupathy, K., 566 Patterson, J.L., 358 Peck, L.G., 599n Pentico, David, W., 494 Petcavage, S., 405 Peterson, A. P. G, 313 Peterson, R., 431 Pfeffer, Jeffrey, 331 Phillips, P., 175 Phyper, J. D., 152 Pine 11, Joseph, 226

I4 Name Index

Walczak, Steven, 494 Walker, M. R., 55 Wallace, Rusty, 304-306 Walsh, Ellen, 331 Walton, S., 431 Wang, Q., 494 Ward, P. T., 226 Watson, James L., 43n Watson, Kevin J., 250 Watts, C. A., 614 Webb, L., 369 Weil, Marty, 530 Weintraub, Gabriel Y., 494 Welborn, Cliff, 226 Wemmerlov, U., 302 West, B. M., 45 Weston, M. 614 Wheeler, J. V, 331 Whitaker, J. 363n White, G., 271 White, J. A., 302 White, R. E., 262n Whitin, T. M., 463 Whitten, Dwayne, 369 Whitney, Eli, 9 Whybark, D. C., 405, 431 Wichern, D. W., 121 Wiersema, Fred, 129n

Wilkinson, T. J., 369 Wilson, J. H., 121 Winkelspecht, C., 309n Wisner, Joel D., 358 Witt, Clyde E., 405 Wolf, Martin, 45 Womack, James P., 516 Wren, Daniel A., 21 Wright, T. P., 607, 607n Wu, Jen-Hur, 463 Wu, Y., 165n Wyckoff, Daryl, D., 376 Wyne, Mark, A., 26n Wynter, L., 494 Wysocki, R. K., 81

Yourdon, Edward, 369 Yurklewicz, Jack, 121

Zakaria, Fareed, 45 Zeithaml, Valerie, 174 Zeng, Amy Z., 302 Zhang, X., 530 Zhao, T., 302 Zipkin, Paul, 226

Tokay, L. B., 226 Tolo, B., 331 Tompkins, James A., 302 Ton, Z., 379n Tonkin, Lea A. P., 530 Toyoda, Eiji, 511 Trietsch, Dan, 494 Tseng, C. L., 302 Tyler, D. 629

Uhich, G., 70n Ulrich, Karl T., 152 Upton, David M., 302 Urs, Rajiv, 121

van Biema, Michael, 21 van Veen-Dirks, Paula, 516 Van Wassenhove, L. N., 226 Veral, Emre, 494 Verganti, Roberto, 152, 358 Verma, Rohit, 250, 629 Verzuh, Eric, 81 Vis, I. F. A., 302 Vollmann, T. E., 405, 431 Vonderembse, Mark, 134n

Wacker, John, G. 455 Wagner, H. M., 463

General Index

Area under the normal curve, T1–4 to T1–5

ARENA software, 626 Argentina, MERCOSUR and, 27 Ariba, 348 Arithmetic approach, learning curves

and, 608 Arnold Palmer Hospital, 54

managing quality, 154–156 mission statement, 30

Automatic identification systems, (AIS), 218–219

Autonomous maintenance, 528 Automated Storage and Retrieval

Systems (ASRS), 220 Avendra, 348 Average observed time, 318 Average outgoing quality, 195, T2–5

to T2–6

Backflush, MRP and, 447 Backsourcing, 363, 364 Backward integration, 342 Backward pass, 63 Backward scheduling, 470 Balanced flow approach, MRP and, 447 Balancing work cells, 289–291 Balking customers, 586 Banking and theory of constraints, 238 Banks, scheduling for services and, 486 Basic economic order quantity, 381 Basic feasible solution, T3–3 BASIC software, 626 Basic queuing system designs, 587 Basic variables, T3–3 Bechtel, 48–50 Behavior of arrivals, waiting line

and, 585 Benchmarking, 163–164 Benetton, 26, 456 Beta probability distribution, 66 BetzDearborn, Inc., 178 Bias, 114 Bias error, 116 Bills-of-material (BOM), 142, 438–441 Blanket orders, 346 BMW, 138 Boeing Aircraft, 24–25, 26, 146,

294, 338 Borders Books, 207 Bottleneck analysis & theory of

constraints, 234–238 management of, 237–238

Brazil, MERCOSUR and, 27 Breakdown maintenance, 524 Break-even analysis, 238–242

algebraic approach, 239 assumptions and, 239 contribution and, 239 definition, 238 fixed costs, 239 graphic approach, 239 multiproduct case and, 240–242 objective of, 238 revenue function, 239 single-product case and, 240 variable costs, 239

Bristol-Myers Squibb, 138 Bucketless systems, MRP and, 447 Buckets, MRP and, 446 Build an organization, 41

ABC analysis, 375–377 Acceptable quality level (AQL), 194 Acceptance sampling, 193–195, T2–1

to T2–7 average outgoing quality (AOQL),

195, T2–5 to T2–6 operating characteristic (OC) curve

and, 194–195 sampling plans, T2–2

Accurate inventory records, MRP and, 441 Accurate pull data, 345 Activity charts, job design and, 315 Activity map, 40 Activity-on-Arrow (AOA), 55–56, 60 Activity-on-Node (AON), 55–59 Activity times, variability in, 65–71 Adaptive smoothing, 115 Advanced shipping notice (ASN), 347 Advantages of ERP Systems, 458 Advantages of Kanban, 510 Advantages of outsourcing, 367 Advantages of simulation, 617 Aggregate planning, 407–432

comparison of planning methods for, 422 methods for, 415–420 nature of, 411–412 planning process and, 410–411 services and, 422–425 strategies for, 412–415 yield management and, 425–428

Aggregate scheduling. See Aggregate planning

Airfreight, logistics management and, 351 Airline industry,

aggregate planning and, 425 scheduling services in, 466–468,

486–487 Alabama, Auto Industry and, 257 ALDEP, (Automated Layout Design

Program) 287 Algebraic approach, break-even analysis

and, 239–240 Alliances, time-based competition and, 142 Allowable ranges for objective function

coefficients, 557 Amazon.com, 88, 372–374 Ambient conditions, 280–281 American National Standards Institute

(ANSI) 159 American Society for Quality (ASQ), 156 Analysis and design, process strategy

and, 211–214 Anheuser-Busch, 219 APEC, 27 Apple Computer Corp., 54 Applications of L.P., 559–562 Applying the learning curve, 608–611 Appraisal costs, quality and, 158 Approaches to forecasting, 89–90 Arcs, routing and scheduling vehicles

and, T5–3

I5

Note: Page numbers beginning with a T refer to the Online Tutorial chapters that appear on our website www.pearsonhighered.com/heizer.

process focus, 205 Arrival characteristics, waiting line

systems and, 585–586 behavior of arrivals, 586 characteristics of, 586–587 pattern of arrivals and, 585 Poisson distribution, 586 size of, 585

Artifacts, servicescapes and, 280–281 Artificial variables, T3–8 ASRS, 220 Assembly chart, 144 Assembly drawing, 144 Assembly line, product-oriented layout

and, 292 Assembly line balancing, product-

oriented layout and, 293–297 objectives of, 293

Assets committed to inventory, 354–355

Assignable variations, statistical process control and, 179

Assignment method, loading and, 475–477

Associative forecasting methods: 108–113

regression analysis, 108–110 correlation coefficient for regression

lines, 111–113 linear-regression analysis, 108 regression analysis, 113 standard error of the estimate,

110–111 Associative models, 89–90 Assumptions, break-even analysis and, 239 AT&T, 158 Attract and retain global talent, global

view of operations and, 27–29 Attribute(s):

c-charts, 188–190 control charts for, 186–190 p-charts and, 186–188 versus variables, inspection and, 171

Auctions, online and, 348 Auctions, supply-chain management,

and, 348 Audits & metrics to evaluate

outsourcing, 368 Australia, SEATO and, 27 Automated guided vehicles (AGVs), 220 Automated sensors, maintenance and, 529

I6 General Index

Building a lean organization, JIT and, 512–513

Building a cumulative probability distribution, Monte Carlo Simulation and, 618–619

Building a lean organization, JIT and, 512–513

Build-to-order, 207, 207n Bullwhip effect, 344

C++ software, 626 Cadbury Schweppes PLC, 134 CAD, 136 Cadillac, 158 CAFTA, 27 Call Center industry, location strategies

and, 266 CAM, 137 Canada, NAFTA and, 27 Canon, 289 Capacity, constraint management and,

227–250 analysis and, 234 applying expected monetary value to

capacity decisions, 243–244 applying investment analysis to

strategy-driven investments, 244–247

Arnold Palmer Hospital, 234 bottleneck analysis and theory of

constraints, 234–238 break-even analysis, 238–242 capacity exceeds demand, 232 considerations and, 231 definition, 228 demand and, 233–234 design and, 35, 228–230 effective capacity and, 229 forecasting and, 87 managing demand, 231–233 planning, MRP and, 453–454 reducing risks with incremental

changes, 242–243 seasonable demands, 232 service sector and, 233–234 strategy and, 230 strategy-driven investments

and, 244 theory of constraints, 237

Capacity analysis, 234 Capacity considerations, 231 Capacity design, OM decisions

and, 39 Capacity investment aspects, 244 Capacity management, service sector

and, 233–234 Capacity options, aggregate strategies

and, 413 Capital, as productivity variable,

16, 17 Carbon footprint, 224 Cartoon industry in Manila, 27 Cash flow in capacity investment

aspects, 244 Caterpillar, 43 Cause and effect diagrams, 167 c-charts, 188–190 Center of gravity method, location

strategies and, 262–263 Central limit theorem, 180–189 Cessna Aircraft, 502 Changes in objective function

coefficient, 557

Changes in resources or right-hand-side values, L.P. and, 556

Changing processes, process strategy, 211 Channel assembly, supply-chain mgt.

and, 347 Characteristics of a waiting line system,

585–588 Characteristics of vehicle routing and

scheduling problems, T5–3 to T5–5

Chase strategy, aggregate scheduling and, 414–415

Check sheets, TQM tools and, 166–167 Chile, SEATO and, 27 Chinese postman problem (CPP), T5–4 CIM, 220 Clark and Wright Savings heuristic,

T5–5, T5–7 to T5–8 Classifying routing and scheduling

vehicle problems, T5–3 to T5–4 Closed-loop material requirements

planning, 452 Cluster first, route second approach,

T5–10 to T5–11 Clustering, 258–259 Coefficient approach, learning curve and,

609–611 Coefficient of correlation, 111 Coefficient of determination, 112 Collaborative Planning, Forecasting &

Replenishment (CPFR), 346 Company reputation, quality and, 157 Comparison of aggregate planning

methods, 422 Comparison of process choices, 208–211 Compatible organizational cultures,

organizing the supply chain and, 344

Comparative advantage, theory of, 362–363

achieving through operations, 31–34 Competing on cost, operations and, 32

differentiation, operations and, 31–32 product strategy options and, 126–127 response, operations, 32–34

Competitive advantage, operations and, 31–34

Amazon.com, 372–374 Arnold Palmer Hospital and, 154–156 Bechtel and, 48–50 Boeing and, 24–25 Darden Restaurants, 334–336 differentiation and, 31–32 Disney World and, 84–86 Federal Express and, 252–253 Frito Lay, 408–410 human resources and, 306–307 McDonalds and, 274–275 Orlando Utilities Commission, 518–520 Product strategy options and, 126–127 Regal Marine and, 124–126 Toyota Motor Corp., 496–498 Wheeled Coach, 434–436

Competitive bidding, 350 Complex decision tree, 539–541 Components:

lead time for, 441 reliability and, 521–523

Computer-aided design (CAD), 136 Computer-aided manufacturing

(CAM), 137 Computer-integrated manufacturing

(CIM), 220

Computer numerical control (CNC), 218 Computer software for process oriented

layouts, 287 Concurrent engineering, 134 Concurrent scheduler approach, T5–13 Configuration management, 145 Considerations for capacity decision, 231 Consignment inventory, JIT and, 501 Constant-service-time model, 597–598 Constant work-in-process (ConWIP), 473 Constraints:

graphical representation of, L.P. problem and, 550–551

human resource strategy and, 306–307 linear programming and, 549

Consumer market survey, forecasting and, 89

Consumer’s risk, 194, T2–3 to T2–4 Continental Air Lines, 559 Continuous improvement, TPS and, 511 Continuous probability distributions,

statistical tools and, T1–5 to T1–8

Contract manufacturing, 361 Contribution, break-even analysis and, 239 Control charts, 169

attributes, 186–190 c-charts, 188–191 defined, 169–170 managerial issues and, 190–191 p-charts, 186–188, 190 patterns on, 190 R-charts, 185 steps to follow in using, 185–186 which chart to use, 190 variables, 180 x̄-chart, 181–184

Control of service inventory, 379 Controlling forecasts, 113–115 Controlling project mgt. and, 54 ConWIP cards, 473 Core competencies, 39–41, 261–263 Core job characteristics, 309 CORELAP (Computerized Relationship

Layout Planning), 287 Corner-point solution method, 553–555 Correlation analysis, forcasting and,

108–113 Costco, 594 Cost(s), competing on, 32

intangible, 257 location and, 254, 257–258 tangible, 257

Cost-based price model, 350 Cost of quality (COQ), 158 Cost of shipping alternatives, 352–353 Cost savings, advantages of outsourcing

and, 367 Cost-time trade-offs, project mgt. and,

71–73 Cp, 191–192 Cpk, 192–193 CPM. See Critical Path Method (CPM) CRAFT (Computerized Relative

Allocation of Facilities Techniques), 287

Crashing, project mgt. and, 71–73 Creating future competition, disadvantages

of outsourcing and, 368 Criteria, scheduling and, 470–471 Critical decisions of OM, 7–8 Critical path, 55

General Index I7

Critical path analysis, 60–64 Critical Path Method (CPM), 55–60

activity-on-arrow example, 60 activity-on-node example, 57–59 calculating slack time, 64–65 critique of, 73–74 determining the project schedule,

60–65 dummy activities, 56 framework of, 55 identifying the critical path, 67–68 network diagrams and approaches,

55–56 variability in activity time, 65–71

Critical ratio (CR), sequencing and, 481–482

Critique of PERT and CPM, 73–74 Cross-docking, 282 Crossover charts, 209–210 Culture, location strategy, and, 258 Cultural issues, global view of operations

and, 29 Cumulative probability distribution,

Monte Carlo Simulation and, 618–619

Currency risks, location strategies and, 256 Customer interaction, process design

and, 215–217 Customizing, warehousing layout

and, 282 Cycle counting, inventory management

and, 377–378 Cycle time, focused work center &

focused factory and, 295, 295n Cyclical variations in data, forecasting

and, 108 Cycles, forecasting and, 90, 108 Cyclical scheduling, 488–489

Dalrymple Bay, capacity and, 232 Darden Restaurants, 267, 334–336 Deadhead time, T5–12 Decision making:

expected value of perfect information (EVPI), 537–538

expected value with perfect information (EVwPI), 537–538

under certainty, 537 under risk, 536 types of environments, 534–538 under uncertainty, 535

Decision making tools, 531–546, also see decision trees

decision tables, 534–538 decision trees, 538–543 fundamentals of, 533–534 process in operations and, 532–533 types of environments, 534–538

Decision tables, 534–538 Decision trees, 538–543

definition, 538 ethical decision making and, 541–542 more complex, 539–541 poker decision process, 532, 542–543 product design and, 149–150

Decision variables, linear programming and, 550

Decline phase, product life cycle and, 128

Decomposition of a time series, 90 Defining a product, 142–144 Degeneracy, transportation modeling

and, 576–577

Dell computers, mass customization and, 207

Delphi method, forecasting and, 89 Delta Airlines, 54, 466–468, 559 Demand exceeds capacity, 231–232 Demand forecasts, 87 Demand management in service sector,

233–234 Demand not equal to supply, transportation

models and, 575–576 Demand options, aggregate strategies

and, 414 Deming’s 14 points, quality and, 160 Dependent inventory model

requirements, 436–441 accurate inventory records and, 441 bills-of-material and, 438–441 lead times for components and, 441 master production schedule and,

436–438 purchase orders outstanding and, 441

Depot node, routing and scheduling vehicles and, T5–3

Design capacity, 228–230 Design for Manufacture and Assembly

(DFMA), 136 Design of goods and services, 7,

123–152, also see Product Development

application of decision trees to product design, 149–150

defining the product, 142–144 documents for production, 144–146 documents of services, 147–148 generating new products, 129–130 goods and services selection, 126–129 issues for product design, 135–137 product development, 130–135 service design, 146–147 time-based competition, 140–142 transition to production, 150

Determinants of service quality, 174 Developing missions and strategies,

30–31 DFMA, 136 DHL, 352 Diet problem, L.P. and, 560–561 Differences between goods and services,

10–11, 37 Differentiation, competitive advantage

and, 31–32 Disadvantages of ERP systems, 458 Disadvantages of outsourcing, 367–368 Disadvantages of simulation, 617 Disaggregation, aggregate planning

and, 412 Discrete probability distributions,

strategic tools and, T1–2 to T1–3 Disney:

experience differentiation and, 32 forecasting and, 84–86, 88 waiting lines and, 584

Dispatching jobs, priority rules and, 478–480

Distance reduction, JIT layout and, 503 Distribution resource planning (DRP),

454–455 Distribution systems, supply-chain

management, 351–352 DMAIC, TQM and, 161–162 Documents:

for production, 144–146 for services, 147–148

Double smoothing, 101 Dow Chemical, 162n Drop shipping, 347 Dual value, 556 Ducati, Kaizen and, 512 Dummy activities, 56 Dummy destinations, 575 Dummy sources, 575 DuPont, 55, 138, 162n Dynamics, MRP and, 446

Earliest due date (EDD), 478 Earliest finish time (EF), Critical Path

Analysis and, 61–64 Earliest start time (ES), Critical Path

Analysis and, 61–63 Economic forecasts, 87 Economic order quantity (EOQ) model,

381, 448 lot sizing and, 448–449 minimize costs, 381 production order quantity model,

387–390 quantity discount model, 390–393 robust model, 385–386

Economic part period (EPP), lot sizing, and, 450

Economics, supply chain, and, 340–341 Effective OM and, 13n Effective capacity, 228–230 Efficient consumer response (ECR), 458 Efficient, definition of, 13n Efficiency, OM and, 13n

capacity and, 229 Electronic data interchange (EDI), 347 Electronic ordering and funds

transfer, 347 Eliminate waste, JIT and, 498–499 Employee empowerment, OM and, 12

job expansion and, 309 TQM and, 162–163

Employment stability policies, 307 EMV (Expected Monetary Value), 536 Engineering change notice (ECN), 145 Engineering drawing, 142 Enterprise Dynamics software, 626 Enterprise Resource Planning (ERP),

455, also see Materials Requirement Planning and ERP

Environmentally friendly designs, ethics, sustainability and, 138–140

goals, 139 guide lines, 139 laws and industry standards, 139–140

Environmentally sensitive production, OM and, 12

EOQ (economic order quantity models), 386, 448

E-procurement, 347–349 Equally likely, decision-making under

uncertainty, 535 Ergonomics, work environment and,

311–314 ERP (Enterprise Resource Planning),

455–458 advantages and disadvantages of, 458 objective of, 455 service sector and, 458

Establishing probability distributions, simulation and, 618

Ethical issues, global view of operations and, 29

location strategies and, 257

I8 General Index

Ethics: decision trees in, 541–542 human resources, job design and work

measurement, 328 OM and, 12 outsourcing, 368 project management and, 52 quality management and, 158 social responsibility and, 19 supply chain and, 339–340

European Union (EU), 27, 27n Evaluating outsourcing risk with factor

rating, 365–366 EVPI (Expected Value of Perfect

Information), 537–538 EVwPI (Expected Value with Perfect

Information), 537–539 Excel:

break-even analysis, 247 forecasting, 118 inventory mgt., 401 linear programming, 563–564 location strategies, 269 outsourcing, 369 simulation and, 627 spreadsheets to determine control

limits for c-chart, 196 Excel OM:

aggregate planning and, 429 breakeven analysis and, 247 decision models and, 543–544 develop x̄-charts, p-charts, c-charts,

OC curves, acceptance sampling and process capability and, 197

factor rating modules, outsourcing and, 369

forecasting and, 118 inventory management and, 401–402 layout problems and, 298 learning curves and, 613 location problems and, 269 L.P. problems and, 564 material requirements planning & ERP

and, 459 outsourcing, 369 project scheduling and, 77 reliability and, 530 short-term scheduling and, 490–491 transportation problems, 578–579 using and, A5–A6 waiting line models, 602

Exchange rates, location strategies and, 256

Expected monetary value (EMV), 536 Expected value:

of discrete probability distribution, statistical tools and, T1–3

of perfect information (EVPI), 537–538 with perfect information (EVwPI),

537–538 under certainty, 537

Experience differentiation, 32 Expert systems, maintenance and, 529 Exponential smoothing, forecasting

and, 94–98 trend adjustment and, 98–101

Extend software, 626 Extensions of MRP, 451–454

capacity planning, 453–454 closed loop, 452 material requirements planning II,

451–452 External costs, quality and, 158

Fabrication line, production-oriented layout and, 292

Factor-rating method, location strategies and, 259–260 evaluating outsourcing risk with, 365

Factors affecting location decisions and, 255–259

Factory flow, 287 Faro Technologies, 195 Fast food restaurants, forecasting and,

116–117 Feasible region, 551 Feasible tour, T5–3 FedEx, 117, 158, 252–253 Feedback to operators, 312 Feed-mix problem, L.P. and, 560–561 Ferrari racing team, 164 FIFS (first in, first served), 587n Finance/accounting, OM and, 4 Finished goods inventory, 375 Finite arrival population, 585 Finite capacity scheduling (FCS), 446,

484–485 First-come, first-served (FCFS)

system, 478 First-in, first-out (FIFO), 587, 587n First-in, first-served (FIFS), 537n First-order smoothing, 101 First Simplex tableau, T3–2 to T3–4 Fish-bone chart, 167 Five forces analysis, 38 5 Ss, lean operations and, 499, 499n Fixed costs, break-even analysis and, 239 Fixed-period (P) inventory systems,

399–400 Fixed-position layout, 276 Fixed-quantity (Q) inventory system, 399 Flexibility, process strategy and, 218 Flexible manufacturing system

(FMS), 220 Flexible response, 32–33 Flexible workweek, 308 Flexibility, JIT and, 503 Flex-time, work schedules and, 307 Flow charts, 168–169, 211 Flow diagrams, 314–315 Flowers Bakery, 193 Focus forecasting, 115–116 Focused factory, 291 Focused processes, 211 Focused work center, 291 Focusing on core competencies,

advantages of outsourcing and, 367

Ford, process risk and, 338 Forecasting, 83–121, also see Time-

series forecasting; Associative forecasting methods

approaches to, 89–90 capacity and, 87 defined, 86 monitoring and controlling forecasts

and, 113–116 product life cycle and, 87 qualitative methods and, 89 quantitative methods and, 89–90 service sector and, 116–117 seven steps in, 88 software in, 118 strategic importance of, 87–88 time horizons and, 86–87 types of, 87

Formulating problems, L.P. and, 549

Forward integration, 342 Forward pass, 61–63 Forward scheduling, 470 Four process strategies, 204–211

mass customization focus, 206–208 process focus, 204–205 product focus, 206 repetitive focus, 205–206

Franz Colruyt, low-cost strategy and, 33 Free float, 64n Free slack, 64n Free time, 64n Frito Lay:

aggregate planning and, 408–410 product focus, 206 resources and, 224 x̄-charts, 187

Functionality, servicescapes and, 280, 281 Functions of inventory, 374–375 Fundamentals of decision making,

533–534 Future time horizon, forecasting and,

86–87

Gaining outside expertise, advantages of outsourcing and, 367

Gaining outside technology, advantages of outsourcing and, 367

Gantt charts, 474–475 load chart, 474 project scheduling and, 53 schedule chart, 474–475

General Electric, 161 Generating new products, 129–130 Generating random numbers, 620 Geographic information systems (GISs),

location strategies and, 267–268 Glidden Paints, 111 Global company profiles:

Amazon.com, 372–374 Arnold Palmer Hospital, 154–156 Bechtel Group, 48–50 Boeing Aircraft, 24–25 Darden Restaurants, 334–336 Delta Airlines, 466–468 Disney World, 84–86 FedEx, 252–253 Frito-Lay, 408–410 Hard Rock Cafe, 2–3 Harley Davidson, 202–204 McDonald’s, 274–275 NASCAR Racing Team, 304–306 Orlando Utilities Commission, 518–520 Regal Marine, 124–126 Toyota Motor Corp., 496–498 Wheeled Coach, 434–436

Global focus, OM and, 12 Global implications, impact of culture

and ethics and, 29 quality and, 157

Global operations. See Operations Strategy in a global environment

Global operations strategy options, 42–44 Global view of operations, 26–29 Goals, ethical, environmentally-friendly

design and, 139 Goods and services:

competitive advantages and, 126–127

design of, 123–152 global operations and, 35 organizing and, 4–5 product-by-value analysis, 128–129

General Index I9

product life cycles, 127–128 product strategy options, 126–127 service selection and, 126

Goods, differences from services, 41 GPSS, special-purpose simulation

language, 626 Graphic approach, break-even analysis

and, 239 Graphical methods for aggregate

scheduling, 415–420 Graphical representation of constraints,

L.P. and, 550–551 Graphical solution approach, L.P. and,

550–555 Graphical techniques, 415 Green disassembly lines, 292 Gross material requirements plan, MRP

and, 442 Group technology, 144 Growth of services, OM and, 11 Growth phase, product life cycle and, 128 Guidelines, ethical, environmentally-

friendly design and, 139

Haier, 26 Hard Rock Cafe, 2–4

environmental (political) risks, 338 layout and, 280 mission statement, 30 Pareto charts and, 167–168

Harley-Davidson, 202–204 Hawthorne studies, 309 Hercules Incorporated, 178 Hertz Car Rental, 426, 568 Heuristic, assembly-line balancing

and, 296 Histogram, 169 Historical experience, labor standards

and, 317 Holding costs, 380 Honda, 40 Honeywell, 161 Hong Kong, SEATO and, 27 Hospitals, also see Arnold Palmer Hospital

aggregate planning and, 424 MRP and, 454 scheduling services and, 486

Hotel site selection, location strategies and, 265–266

Hotels, MRP and, 454 House of quality, 131 Human resource, job design, work

management and, 303–331 competitive advantage for, 306–307 ergonomics and the work environment,

311–314 ethics and the work environment, 328 OM and, 35 job design and, 308–311 labor planning and, 307–308 labor standards, 317–328 methods analysis, 314–315 objective of, 306 service processes and, 217 visual work place, 315–316

Human resources, forecasting and, 87 Hyundai Shipyard, 67

IBM, 360 Impact on employees, JIT layout and, 503 Implementing Six Sigma, 162 Implications of quality, 157 Importance of inventory, 374–375

Importance of project management, 50 Importance of short-term scheduling, 468 Improve supply chain, global view of

operations and, 27–28 Improving individual components,

reliability and, 521–523 Improving operations and service,

advantages of outsourcing and, 367

Incentives: job design and, 311 managing the supply chain, 344

Increased flexibility, JIT layout and, 503 Increased transportation costs,

disadvantages of outsourcing, 367 Increasing repair capabilities,

maintenance and, 528 Independent demand, inventory models

and, 380–393 basic economic order quantity (EOQ)

model, 381 minimizing costs, 381–386 production order quantity model,

387–390 quantity discount models, 390–393 reorder points, 386–387

Industry standard, design of goods and services and, 139–140

Infant mortality, 524, 524n Infinite arrival population, 585 Initial solution, transportation models,

and, 570–572 Innovation, location and, 254–255 Input-output control, loading jobs

and, 472 Inspection:

attributes versus variables, 171–172 definition, 170 quality management and, 170–172 service industry and, 171 source and, 171 when and where, 170–171

Intangible costs, location strategies and, 257

Integrate OM with other activities, 41 Integrated supply chain, 345–347 Intermittent facilities, 471 Intermittent processes, 204 Internal benchmarking, 162–163 Internal failure, quality and, 158 International business, 42 International quality standards,

159–160 International strategy, global operations

and, 42 Introductory phase, product life cycle

and, 128 Intuitive lowest-cost method, 571–572 Intuitive method, 571 Inventory analysis, simulation and,

623–625 Inventory, lean operations in services

and, 371–405, 513 Inventory management, 371–405, also

see Independent demand fixed-period (P) systems and,

399–400 functions of, 374–375 importance of, 374–375 inventory models for independent

demand, 380–393 just-in-time, 504–506 Kanban, 508–510

managing and, 375–379 models, 380 OM and, 35 other probabilistic models, 396–398 probabilistic models and safety stock,

393–397 single-period model, 398–399

Inventory turnover, 354 Inventory types, 375 Investment analysis, capacity planning

and, 244–247 Ishikawa diagrams, 167 ISO, 552n ISO9000, 159 ISO14000, 138, 159–160 ISO24700, 159–160 ISO-cost line, 557 Isometric drawing, 144 ISO-profit line solution method,

551–553 Issues in:

integrated supply chain, 344–345 operations strategy, 36–39 product design, 135–137 short-term scheduling, 468–471

Jackson Memorial Hospital, 626 Japan, SEATO and, 27 JC Penney, 346 Job characteristics, 309 Job classifications, 308 Job design, 308–311

definition, 308 human resource strategy, OM and, 35 job expansion, 308–309 labor specialization, 308 limitations of job expansion, 310 motivation and incentive systems

and, 311 OM decisions and, 35, 37 psychological components of, 309 self-directed teams, 310

Job enlargement, human resource strategy and, 309

Job expansion, 308–309 Job enrichment, 309 Job lots, 284 Job rotation, 309 Job shops, facilities, 471

scheduling, 471n Job specialization, 308 John Deere, 378, 414 John Hopkins Hospital, 172 Johnson Electric Holdings, LTD., 34 Johnson’s rule, sequencing and,

482–483 Joint ventures, time-based competition

and, 142 supply-chain mgt. and, 343

Jury of executive opinion, 89 Just-in-time:

MRP and, 446–447 supply-chain mgt. and, 353–354 TQM and, 164–165

Just-in-time and lean operations, 495–516

concerns of suppliers, 502–503 definition, 498 inventory and, 504–506 just-in-time, 500–503 Kanban, 508–510 layout and, 503–504 lean operations, 512–514

I10 General Index

Just-in-time and lean operations (continued) material requirements planning and,

446–447 partnerships, 501–502 quality and, 510–511 scheduling and, 506–510 services, 513–514 Toyota production system and,

498–500, 511–512 Just-in-time (JIT) inventory, 504–506

reduce inventory, 504 reduce lot sizes, 504–506 reduce setup costs, 506 reduce variability, 504

Just-in-time partnerships, 501–502 concerns of suppliers, 502–503

Just-in-time performance, OM and, 12

Kaizen, JIT and, 511 Kanban, JIT and, 508–510

advantages of, 510 definition, 508 number of cards or containers and,

509–510 Keiretsu networks, 343 Key success factors (KSFs), 39–41 Kindle, 88 Kits, BOMs and, 440 Kitted material, MRP and, 440 Knowledge-based pay systems, 311 Knowledge society, 17 Komatsu, 42 Krispy Kreme, 232

Labor productivity of, location strategies and, 256

as productivity variable, 16–17 Labor planning, human resources and,

307–308 Labor scheduling example, L.P. and,

561–562 Labor specialization, job design and, 308 Labor standards, 317–328

historical experience, 317 predetermined time standards, 322–325 time studies, 317–322 work sampling, 325–328

Large lots, integrated supply-chain, 344 Last-in, first-out, (LIFO), 587n Last in, first-served (LIFS), 587n Latest finish time (LF), 61, 63–64 Latest start time (LS), 61, 63–64 Laws, design of goods and services and,

139–140 Layout, types of, 276–278 Layout design, OM decisions and, 35

service processes and, 217 Layout strategies, 273–302

fixed-position layout, 282–283 just-in-time and, 513 office layout and, 278–279 process-oriented layout and, 276, 283 repetitive and product-oriented layout

and, 292–297 retail layout and, 279–281 servicescapes, 280–281 services, lean operations, and, 513–514 strategic importance of, 276 types of, 276–278 warehouse and storage layouts and,

281–283 work cells, 288–291

La-Z-Boy, 318 Lead time:

inventory model and, 386, 396–397 MRP and, 441

Leaders in quality, 158, 159 Lean operations, just-in-time and,

498–500 Lean operations, in services and,

513–514 Learn to improve operations, global view

of operations and, 27, 29 Learning-curve coefficient approach,

609–611 Learning curves, 605–614

applying, 608–611 definition, 606–607 limitations of, 612 services and manufacturing and,

607–608 strategic implication of, 611–612

Least-squares method, trend projections and, 103

Level material use, 485–486 Level schedules, JIT and, 507 Level scheduling, 415 Level strategy, aggregate planning and, 415 Life cycle, strategy and, 128 Life cycle assessment, 139 Life cycle perspectives, systems and,

138–140 Limitations of:

job expansion, 310 learning curves, 612 rule-based dispatching systems, 483–484

Limited arrival population, 585 Linear decision rule (LDR), aggregate

planning and, 422 Linear programming (L.P.), 547–566,

also see Simplex method of linear programming

applications and, 559–562 changes in the objective function

coefficient and, 557 corner-point method and, 553–555 definition of, 548 diet problem and, 560–561 feed-mix problem and, 560–561 formulating problem and, 549 graphical solution to, 550–555 iso-profit line solution method and,

551–553 labor scheduling and, 561–562 minimization problems and, 557–558 production mix example and, 559–560 requirements of a programming

problem and, 549 sensitivity analysis, 555–557 why we use LP, 548 Shader Electronics Co. example,

549–557 simplex method of, 562

Linear regression analysis, forecasting and, 108–110

Little’s Law, 598–599 L.L. Bean, 163, 163n Load reports, 453 Loading jobs, short term scheduling and,

472–477 assignment method, 475–477 Gantt charts, 474–475 input-output control, 472–473

Local optimization, managing the supply chain and, 344

Location: costs and, 254 innovation and, 254–255

Location decisions, factors affecting in, 255–259

Location selection, OM decision and, 35 Location strategies, 251–271

factors affecting location decisions, 255–259

methods of evaluating location alternatives, 259–264

objective of, 254 service location strategy, 264–268 strategic importance of, 254–255 transportation model, 263–264

Locational break-even analysis, 260–261 Logarithmic approach, learning curves

and, 609 Logistics mgt., supply chain mgt. and,

350–354 Longest processing time (LPT), 478 Long-range forecast, 86–87 Loss of control, disadvantages of

outsourcing and, 367 Lot-for-lot, 447–448 Lot size reduction, integrated supply

chain and, 345 Lot sizing decision, 447 Lot sizing summary, 451 Lot sizing techniques, MRP and,

447–451 economic order quantity, 448–449 economic part period (EPP), 450 lot-for-lot, 447–448 part period balancing (PPB),

449–450 Wagner-Whitin algorithm, 451

Lot tolerance percent defective (LTPD), 195

Louis Vuitton, 513 Low-cost leadership, 32 Low-level coding, MRP and, 440–441

Machine technology, 218 Maintenance and reliability, 517–530,

also see Reliability automated sensors, 529 defined, 520 expert systems applied to, 529 increasing repair capabilities, 528 objective of, 520 OM and, 35 preventive maintenance, 524–528 reliability, 520–524 simulation and, 529 strategic importance of, 520–521 techniques for enhancing and, 529 total productive maintenance,

528–529 Maintenance/repair/operating (MROs)

inventories and, 375 Make-or-buy decisions, 143, 341 Malcolm Baldrige National Quality

Awards, 158 Management, MRP and, 446–447

dynamics of, 446 JIT and, 446 supply-chain and, 336–338

Management as productivity variable, 16, 17

Management coefficients model, aggregate planning, 422

Management process, OM and, 7

General Index I11

Managerial issues, control charts and, 190–191

Managing demand, capacity and, 231–233

Managing quality, 153–175, also see Total Quality Management

cost of, 158 defining, 156–159 demand, capacity and, 233–234 ethics and, 158 implications of, 157 international quality standards,

159–160 role of inspection, 170–172 services and, 172–174 strategy and, 156 tools of TQM, 166–170 total quality mgt., 160–166

Manila, cartoon industry in, 27 Manufacturability, product development

and, 134 Manufacturing, learning curve and,

607–608 Manufacturing cycle time, 500 MAP/1 software, 626 Maquiladoras, 27, 257 Market-based price model, 350 Marketing, OM and, 4 Markets, global view of operations and,

26–29 Mass customization, OM and, 12

process strategy and, 206–208 Master production schedule 412,

436–438 Material handling costs, 281 Material requirements planning

(MRP) and Enterprise resource planning (ERP), 433–465, also see Dependent inventory model requirements

capacity planning and, 453 closed loop, 452 defined, 436 dependent demand, 436 dependent inventory model

requirements and, 436–441 distribution resource planning (DRP)

and, 454–455 dynamics, 446 enterprise resource planning (ERP),

455–458 extensions of, 451–454 JIT and, 446–447 lot-sizing techniques and, 447–451 management and, 446–447 services and, 454–455 structure for, 441–445

Material requirements planning II (MRP II), 451–454

Mathematical approaches, aggregate planning and, 420–422

Maturity phase, product life cycle and, 128

Maximax, decision-making under uncertainty and, 535

Maximin, decision-making under uncertainty, 535

Maximization problems, linear programming and, T3–7

McDonald’s Corp., 146, 274–275, 591 Mean absolute deviation (MAD), 95–96 Mean absolute percent error (MAPE),

97–98

Mean chart limits, setting of, 181–184 Mean squared error (MSE), 97 Mean time between failures (MTBF),

522–523 Measurement, productivity and, 14–16 Measuring:

forecast error, 95–98 queue performance, 588 supply chain performance, 354–356

Medium-range forecast, 86–87 Mercedes Benz, 163 Merck mission statement, 30 MERCOSUR, 27 Methods analysis, 314–315 Methods for aggregate planning,

415–420 Methods Time Measurement (MTM),

323–325 Methods Time Measurement

Association, 323n Mexico, NAFTA, 27 Miami Heat Game, 58 Michelin, 127 Micro Saint software, 626 Microsoft Corp., 54, 141, 360 Microsoft Project, project mgt. and,

74–77 entering data, 74–75 PERT analysis, 76 tracking the time status of

a project, 76 viewing the project schedule, 75–76

Milliken, 158 Milton Bradley, 390 Minimal-cost-flow problem, T5–13 Minimization problems, L.P. and,

557–558, T3–7 to T3–8 Minimizing costs, independent demand

inventory and, 381–386 Minimum cost of insertion technique,

T5–10 Miscellaneous services, aggregate

planning and, 424 Mission, global view of operations and,

30–31 Mixed strategy, aggregate planning

and, 415 Mixing options, aggregate planning and,

414–415 MNC (Multinational Corp.), 42 Models, inventory and, 380 Modi method (modified distribution):

how to use, T4 –1 to T4–4 solving a problem, T4–2 to T4–4 transportation problems and, T4–2

to T4–4 Modsim software, 626 Modular bills, MRP and, 440 Modular design, product development

and, 135 Modules, repetitive focus and, 205 Moment-of-truth, service design and,

147–148 Monte Carlo method, 618 Monte Carlo simulation, 618–621 Monitoring forecasts, 113–116 Most likely time, PERT and, 66 Motivation, incentive systems, 311 Motivation system, job design and, 311 Motorola, 158, 161, 360 Moving averages, quantitative

forecasting and, 91–94 MROs, 375

MRP. See Material requirements planning MSDS, 328, 328n Mrs. Field’s Cookies, 281 Multidomestic strategy, global

operations and, 43 Multifactor productivity, 15–16 Multinational corporation (MNC), 42 Multiphase system, 588 Multiple-channel queuing model, 588 Multiple regression, 113 Multiple regression analysis, 113 Multiple traveling salesmen problem

(MTSP), T5–4, T5–8 Multiproduct case, break-even analysis

and, 240–242 Mutual agreement on goals, managing

the supply chain and, 344

NAFTA (North American Free Trade Agreement), 27

Naive approach, quantitative forecasting and, 90–91

NASA, 363 NASCAR, 304–306 National, rental company and, 568 National chains, aggregate planning

and, 424 Natural variations, statistical process

control and, 179 Nature of aggregate planning, 411–412 Nearest neighbor procedure, T5–5

to T5–7 Nearshoring, 365 Negative exponential probability

distribution, 588 Negative impact on employees,

disadvantages of outsourcing and, 368

Negotiation strategies, vendor selection and, 350

Net material requirements plan, MRP and, 443–445

Net present value, strategy-driven investments and, 224–227

Network diagrams and approaches, project management and, 55–60

Networks, routing and scheduling vehicles and, T5–3

New Guinea, SEATO and, 27 New product opportunities, 129

importance of, 129–130 New trends in OM, 12–13 New Zealand, SEATO and, 27 Nike, 127 Nissan, 448 Nodes, routing and scheduling vehicles

and, T5–3 Non-basic variables, T3–3 Normal curve areas, A2–A3, T1–4

to T1–7 Normal time, labor standards and, 318 North American Free Trade Agreement

(NAFTA), 27 Northwest corner rule, transportation

models and, 570–571, 577

Objective function, L.P. problems and, 549

Objective function coefficients, allowable ranges and, 557

Objective of human resource strategy, 306

I12 General Index

Objectives of routing and scheduling vehicle problems, T5–2

Offshoring, 360 Office layout, 276, 278–279 Office relationships chart, 278 O’Hare Airport, 548 Olive Garden Restaurant, also see

Darden Restaurants forecasting, 91 JIT, 500

OM in Action: Assembly lines to green disassembly

lines, 292 Auto industry in Alabama, 257 Backsourcing to Small-Town,

U.S.A., 364 Banking and theory of constraints

(TOC), 238 B-2 Bomber, job design and, 314 Benetton, ERP software and, 456 Borders Books, process strategy

and, 207 Cadbury Schweppes PLC, designing

Trident Splash, 134 Cell-Phone Industry, chasing fads

in, 141 Cessna Aircraft, 502 Continental Air Line, scheduling

planes, L.P. and, 559 Dalrymple Bay, capacity and, 232 Delta Airlines

project mgt. and, 54 scheduling planes, LP and, 559

DHL, supply chain and, 352 FedEx, forecasting and, 117 Franz Colruyt, low-cost strategy and, 33 Going Global to Compete, 28 Going Lean at Louis Vuitton, 513 Hospital benchmarks against Ferrari

Racing Team, 164 Hotel industry, technology changes

and, 222 Incentives to unsnarl traffic jams in the

OR, 311 Inventory accuracy at Milton

Bradley, 390 JC Penney, supply chain and, 346 Jackson Memorial Hospital, simulation

and, 626 Johnson Electric Holdings, Ltd.,

response strategy and, 34 Kaizen at Ducati, 512 Lean Production at Cessna Aircraft, 502 Mass customization for straight

teeth, 216 Miami Heat Game, 58 Milton Bradley inventory management

and, 390 Olive Garden, forecasting and, 91 Preventive maintenance saves

lives, 526 Quality Coils, Inc., 256 Radio Frequency Tags, supply chain

and, 345 Rebuilding the Pentagon after 9/11,

project mgt. and, 74 Red Lobster Restaurant, forecasting

and, 91 Richey International’s Spies, 174 Roses, supply-chain management

and, 338 Saving Seconds at Retail Boosts

Productivity, 318

Scheduling aircraft turnaround, 487 Scheduling workers who fall asleep,

short-term scheduling, 471 Scheduling for peaks by swapping

employees, 487 Shopping mall, linear programming

and, 549 66, 207, 896 bottles of beer on the

wall, 400 Smooth FM Radio, process

strategy, 207 Snapper, aggregate planning and, 412 Southwest Air Lines, scheduling

airplanes and, 559 Starbucks Coffee, location

strategy and, 264 productivity and, 14 simulation and, 621

Subaru, ISO 14001 and, 160 Taco Bell, productivity and lower costs

and, 19 Tightest Ship in Shipping Business,

323 Toyota University teaches lean

thinking, 514 Unisys Corp., SPC and, 188 U.S. cartoon production in Manila,

global view of operations, 27 Wal-Mart:

inventory management and, 377 link to China, 367

Zero wait time guarantee in Michigan’s ER, 589

Work Cells Increase Productivity at Canon, 289

Workers falling asleep, scheduling and, 471

Yield management at Hertz, aggregate planning and, 426

On-line auctions, 348 On-line catalogues, 347–348 One-sided window, T5–12 Operating characteristics (OC) curves,

194–195, T2–2 to T2–3 Operations and productivity, 1–21 Operations chart, job design and, 315 Operations decisions, 35, 532–533 Operations layout strategy. See Layout

strategy, T2–2 to T2–3 Operations management:

decision process in, 532–533 definition, 4 ethics and social responsibility, 19 heritage of, 8–10 Hard Rock Café and, 2–3 job opportunities in, 7–8 management process, 7 new trends, 12–13 organizing to produce goods &

services, 4–5 productivity challenge, 13–18 reasons to study, 6–7 service sector, 10–12 significant events in, 9 ten strategy decisions, 1, 7 where OM jobs are, 7 why study, 6–7

Operations strategy in a global environment, 23–45

competitive advantage through operations, 31–34

developing missions and strategies, 30–31

global strategy, 43 global view, 26–29 issues in, 36–39 strategy development and

implementation, 39–41 strategy options, 42–44 ten strategic OM decisions, 35–36

Operator input to machines, 312 Opportunities in an integrated supply

chain, 345–347 Opportunities to improve service

processes, 217 Opportunity cost, assignment method

and, 475, 475n Optimistic time in PERT, 66 Ordering cost, 380 Organizing to produce goods and

services, 4–5 Organizing product development,

133–134 Origin points, transportation modeling

and, 568 Orlando Utilities Commission, 518–520 OSHA, 328, 328n Outsource providers, rating and, 366 Outsourcing as a Supply Chain Strategy,

341, 359–369 audits and metrics to evaluate and, 368 advantages, 367–368 disadvantages, 367–368 ethical issues in, 368 evaluating risk with factor rate,

365–366 risks in, 363–364 strategic planning and core

competencies, 361–363 types of, 361 What is outsourcing?, 360–361

p-chart, 186–188, 190 P system, 399–400 Paddy-Hopkirk Factory, 314–315 Paladin Software Corp., 54 Paraguay, MERCOSUR and, 27 Parameter, sensitivity analysis and, 555 Parametric Technology Corp., 146n Pareto charts, 167–168 Part period balancing (PPB), lot sizing

and, 449–450 Partial tour, T5–6 Partnering relationships, supply chain

strategies and, 12 Partnerships, JIT and, 501–502 “Pass-through facilities,” supply-chain

mgt. and, 347 Path, T5–6 PDCA, 161 Pegging, 446 Pentagon after 9/11, 74 Perpetual inventory system, 399 Personal ethics, 339 PERT. See Project management Pessimistic time estimate, PERT and, 66 Phantom bills of material, MRP and, 440 Philippines, cartoon industry and, 27 Pilferage, 379 Pipelines, logistics management

and, 351 Pivot column, T3–4 Pivot number, T3–4 Pivot row, T3–4 Plan-Do-Check-Act (PDCA), 161

General Index I13

Planned order receipt, MRP and, 443 Planned order release, MRP and, 443 Planning bills, MRP and, 440 Planning horizons, aggregate planning

and, 410–411 Planning process, aggregate planning

and, 410–411 Poisson distribution, 586, A2 Poisson table, A4 Poka-yoke, 171 Political risk, location strategy and, 258 Poker decision process, decision tree

and, 542–543 POM for Windows: A6–A7

aggregate planning, 429 breakeven analysis, 247 decision table and trees, 544 forecasting, 118 inventory problems, 402 layout strategy, 299 learning curves, 613 linear programming, 564 location problems, 269 material requirements planning (MRP),

459–460 outsourcing as a supply chain strategy,

369 project scheduling, 78 reliability problems, 530 scheduling, 492 simulation, 628 SPC control charts, OC curves,

acceptance sampling & process capability, 197

transportation problems, 578 use of, A6–A7 waiting line, 602

Portion control standards, 143 Postponement, process strategy

and, 207 supply-chain mgt. and, 346–347

Predetermined time standards, 322–325 Prevention costs, quality and, 158 Preventive maintenance, 524–528 Primavera Systems, Inc., 54 Priority rules, 478–480 Probabilistic inventory models and safety

stock, 393–398 service level and, 393

Process analysis, design and, 211–214 Process capability, SPC and, 191–193

definition, 191 index and, 192 ratio and, 191–192

Process charts, 213–214, 315 Process choices, comparison of, 208–211 Process control, 219 Process cycle time, 235 Process design, OM and, 35

customer interaction and, 215–217 Process focus, process strategies and,

204–205 Process-focused facilities, 471–472 Process mapping, 211–212 Process-oriented layout, 276, 283–288

computer software for, 287 focused work center and focused

factory, 291 work cells and, 288–291

Process redesign, 223 Process strategy, 204–226

analysis and design, 211–214 defined, 204

four process strategies, 204–211 process redesign, 223 production technology, 218 selection of equipment and technology,

217–218 service process design and, 214–217 sustainability, 223–225 technology in services, 221–222

Process time of a station, 235 Process time of a system, 235 Producer’s risk, 194, T2–3 to T2–4 Product-by-value analysis, 128–129 Product decision, 126, T2–3 to T2–4 Product design issues, 135–138

computer-aided design (CAD), 136 computer-aided manufacturing

(CAM), 137 environmentally friendly designs,

138–140 ethics and, 138–140 modular design, 135 robust design, 135 sustainability, 138–140 value analysis, 137 virtual reality technology, 137

Product development, 130–135, also see Design of Goods and Services

development system, 130–131 importance of, 129–130 issues for design and, 135–137 manufacturability and value

engineering, 134–135 organizing for, 133–134 quality function deployment (QFD),

131–133 systems, life cycle perspectives and,

138–140 teams and, 134

Product failure rate (FR), reliability and, 522

Product focus, 206 Product focused facilities, 472 Product generation, new

opportunities, 129 Product liability, quality and, 157 Product life cycle, 87, 127

management and, 145–146 strategy and, 128

Product Life-Cycle Management (PLM), 145–146

Product-mix problem, linear programming and, 559–560

Product-oriented layout, 277, 292–297 assembly line balancing and, 293–297

Production, defined, 4 Production order quantity model,

387–390 Production/operations, OM and, 4 Production technology, 218–220

automated guided vehicles (AGV), 220 automatic identification system (AIS),

218–219 automated storage & retrieval system

(ASRS), 220 computer-integrated manufacturing

(CIM), 220 flexible manufacturing system

(FMS), 220 machine technology, 218 process control, 219 radio frequency identification, 218–219 robots, 220 vision systems, 219–220

Productivity, defined, 12 single factor, 15 multifactor, 15

Productivity challenge and OM, 13–16 defined, 13 measurement of, 14–16 service sector and, 18 variables, 16

Productivity variables, 16–18 Project crashing and cost-time trade-offs,

71–73 Project completion probability, 68–71 Project controlling, 54 Project management, 47–81

activity-on-arrow example, 55–56, 60 activity-on-node example, 55–59 calculating slack time, 64–65 cost-time trade-offs, 71–73 CPM in. See Critical Path Method crashing, 71–73 critical path analysis, 60 critique of PERT & CPM, 73–74 determining the project schedule,

60–65 dummy activity, 56 framework of PERT & CPM, 55 identifying the critical path, 64–65 importance of, 50 Microsoft Project, 54, 65 network diagrams and approaches, 55 PERT, 55 PERT/CPM in, 55 probability of project completion,

68–71 project controlling, 54 project crashing, 71–73 project planning, 50–53 project scheduling and, 53 techniques of, 55–60 time estimates in, 66–67 variability in activity times, 65–71

Project manager, 51–52 Project organization, 50 Project planning, 50–53 Project scheduling, 53 ProModel software, 626 Proplanner, 146n Provide better goods and services,

global view of operations and, 27, 28

Providing redundancy, reliability and, 523–524

Proximity to competitors, location strategies and, 258–259

Proximity to markets, location strategies and, 258

Proximity to suppliers, location strategies and, 258

Psychological components, job design and, 309

Pull data, 345 Pull system, 500 Purchase orders outstanding, MRP

and, 441 Purchase technology by acquiring firm,

141–142

Q systems, 399 Qualitative forecasting methods, 89

Delphi method, 89 Jury of executive opinion, 89 sales force composite, 89 consumer market survey, 89

I14 General Index

Quality, also see Statistical Process Control; Total Quality Management (TQM)

cost of, 158 defining, 156 ethics and, 158 implications of, 157 International Quality Standards, 159–160 just-in-time and, 510–511 Malcolm Baldrige National Quality

Award, 158 OM decisions and, 35

Quality circle, 162 Quality Coils, Inc., 256 Quality Function Deployment (QFD),

131–133 Quality loss function (QLF), 165 Quality robust, 165 Quantitative forecasts, 89–90 Quantity discount models, inventory

management and, 390–393 Queue(s), limited and unlimited, 585 Queue costs, 589–590 Queuing models, variety of, 590–601,

also see waiting line models Model A (M/M/l): single channel with

Poisson arrivals/exponential service times, 590–593

Model B (M/M/S): multiple-channel queuing model, 593–597

Model C (M/D/l): constant-service- time model, 597–598

Model D: limited-population model, 599–601

Queuing problems, simulation of, 621–623

Queuing theory, 584 Quick response, 32, 34

Radio frequency identification (RFID), 218–219

Railroads, logistics management and, 351

Random number, 619 table of, A4

Random number intervals, Monte Carlo simulation and, 619

Random stocking, warehouse layout and, 282

Random variations, time series forecasting and, 90

Range chart limits, setting of, 185 using of, 185–186

Rapid product development, OM and, 12 Rating International Risk Factors, 365 Rating outsource providers, 366 Raw material inventory, 375 R-chart, 180 Real-Time inventory tracking, 348–349 Record accuracy, inventory management

and, 377 Recycle, sustainability and, 223 Red Lobster Restaurants, also see

Darden restaurants forecasting, 91 JIT, 500 time study, 319

Reduce costs, global view of operations and, 27–28

Reduce lot sizes, JIT and, 504–505 Reduce inventory, JIT and, 504–506 Reduce setup costs, JIT and, 506

Reduce variability, JIT inventory and, 504

Reduced space and inventory, JIT and, 503–504

Reducing risk with incremental changes, 242–243

Redundancy, reliability and, 523–524 Regal Marine, 124–126 Regression and correlation analysis,

forecasting and, 108–116 Regulations, sustainability and, 224 Reliable response, 32–34 Reliability, 521–524, also see

Maintenance improving individual components and,

521–522 providing redundancy and, 523–524 strategic importance of, 520–521

Remington Rand, 55 Reneging customers, 586 Reorder point (ROP) inventory mgt. and,

386–387 Repetitive focus, process strategy and,

205–206 Repetitive facilities, scheduling and, 485 Repetitive layout, 292–297 Reputation, sustainability and, 224–225 Requirements of a L.P. problem, 549 Requirements of work cells, 288–289 Resources, sustainability and, 223 Resources view, operations strategy

and, 36 Respect for people, TPS and, 511 Response, competitive advantage

and, 32–34 Restaurants, aggregate planning and, 424

MRP and, 454 Retail layout, 276, 279–280 Retail stores, scheduling services

and, 486 Revenue function, break-even analysis

and, 239 Revenue management, aggregate

planning and, 425 RFID, 218–219 RFQs (requests for quotes), 348 Richey International, 174 Right-hand/left-hand chart, 315 Right-hand-side values, L.P. and,

556–557 Risk, supply-chain and, 337–338 Risks in outsourcing, 363–364 Ritz-Carlton Hotels, 158 Robots, 220 Robust design, product development

and, 135 Robust model, inventory management

and, 385 Role of inspection, 170–172 Route sheet, 144 Routing vehicles, T5–4 Routing service vehicles, T5–5 to T5–11 Run test, charts and, 191 Rusty Wallace’s NASCAR Racing Team,

304–306

Safety stock, inventory mgt. and, 387 Safety stock, MRP and, 445 Sales force composite, forecasting

and, 89 Samples, SPC and, 179 SAP PLM, 146n Scatter diagrams, TQM tools and, 167

Scheduling. See Short-term Scheduling and Loading Jobs

aggregate planning and, 410 by simulation, 422 criteria, 470–471 decisions, 410 just-in-time and, 514 lean operations in services and, 514 OM decisions and, 35 service vehicles, T5–11 to T5–13 vehicles, T5–4

SCOR, 356 Seasonal demands, capacity and, 232 Seasonal variations in data, 103–108 Seasonality, time series and, 90 SEATO, 27 Second-order smoothing, 101 Security, JIT, supply chain mgt. and,

353–354 Selection of equipment and technology,

process strategy and, 217–218 Self-directed teams, 310 Sensitivity analysis, L.P. and, 555–557 Sensitivity Report, 556 Sequencing, jobs in work centers,

478–484 critical ratio and, 481–482 definition, 478 Johnson’s rule and, 482–483 limitations of rule-based dispatching

systems, 483–484 priority rules for dispatching jobs,

478–480 Sequential sampling, T2–2 Service(s), also see Service Sector

aggregate planning and, 422–425 defined, 10

ERP and, 458 design of, goods and, 7, 146–148 differences from goods and, 10–11 documents for, 147–148 growth of, 11 lean operations in, 513–514 learning curves in, 607–608 MRP and, 454–455 pay in, 11 scheduling and, 486 service blueprinting, process strategy

and, 214 service characteristics, waiting line

system and, 587–588 service time distribution, waiting line

system and, 588 total quality management, services

and, 172–174 Service industry inspection, 171 Service level, probabilistic models

and, 393 Service location strategy, 264–268 Service pay, 11 Service processes, 217 Service recovery, 173–174 Service sector:

defined, 10 demand and capacity mgt. in, 233–234 ERP and, 458 forecasting and, 116–117 operations in, 10–12 productivity and, 18 TQM in, 172–174

Service vehicle scheduling, T5–11 to T5–13

Servicescapes, 280

General Index I15

Setup cost, 380 Setup time, 380 Seven steps in forecasting, 88 Seven tools of TQM, 166–170 Seven wastes, lean operations and,

498–499 Shader Electronics, L.P. problem

example, 549–557, T3–1 to T3–7

Shadow price, 556 Sherwin Williams, 127 Shipping alternatives, cost of, 352–353 Shortest processing time (SPT), 478 Short-range forecast, 86–87 Short-term scheduling, 465–494, also see

Scheduling airlines, 466–468 cyclical scheduling, service employees

and, 488–489 finite capacity (FCS) and, 484–485 forward and backward scheduling, 470 importance of, 468 issues, and, 468–471 limitations of rule-based dispatching

systems, 483–484 loading jobs, 472–473 process focused facilities and, 471–472 repetitive facilities, and, 485–486 sequencing, jobs in work centers,

478–484 services and, 486–489 strategic importance of, 468

Shrinkage, 379 Siemans, 18 Signs, symbols, artifacts, 280–281 Simplex method, definition, T3–2 Simplex method of L.P., 562, T3–1

to T3–10 artificial and surplus variable, T3–7 converting constraints to equations,

T3–2 setting up first simplex table, T3–2

to T3–4 simplex solution procedures, T3–4

to T3–6 solving minimization problems, T3–7

to T3–8 summary of simplex steps for

maximization problems, T3–6 Simfactory software, 626 SIMSCRIPT software, 626 Simulation, 615–629, T3–1 to T3–10

advantages and disadvantages, 617 defined, 616–617 experiment and, 620–621 inventory analysis and, 623–625 maintenance and, 529 Monte Carlo, 618–621 queuing problem and, 621–623 software and, 626

Single channel queuing model/poisson arrivals/exponential service times, 590–593

Single-channel queuing system, 587 Single factor productivity, 15 Single sampling, T2–2 Single-period inventory model, 398–399 Single-phase system, 588 Single-product case, break-even analysis

and, 240 Single stage control of replenishment,

345–346 Six Sigma, 161–162, 162n

Slack time, 64–65 Slack variables, simplex method

and, T3–2 Slotting fees, 279–280 Small bucket approach, MRP and,

446–447 Smooth FM Radio, 207 Smoothing constant, 94–95 Snapper Lawn Mowers, 412 Social responsibility, OM and, 19 Solving routing and scheduling vehicle

problems, T5–4 SONY, 26, 360, 362 Source inspection, 191 Sources, transportation models and, 568 South Korea, SEATO and, 27 Southwest Airlines, 41, 310 Spatial layout, functionality and, 280–281 Special considerations for service

process design, 214–217 Special issues in modeling, 575–577 Special packaging, 347 Specialty retail shops, forecasting

and, 116 Staffing an organization, 41 Staffing work cells, 289–291 Standard error of estimate, 110–111 Standard for the exchange of product

data (STEP), 136 Standard normal distribution, T1–5

to T1–7 Standard normal table, A2–A3, T1–5

to T1–7 Standard time, labor standards and,

319–322 Standard work practice, TPS and,

511–512 Standardization, supply-chain mgt.

and, 346 Starbucks Coffee:

location strategy and, 264 productivity and, 14 simulation and, 621

Statistical process control (SPC), 178–199 acceptance sampling, 178, 193–194 assignable variations, 179 attributes for, 186–190 c-charts, 188–190 central limit theorem and, 180–181 control charts, 178 control charts for variables, 180 definition, 178 managerial issues and control charts,

190–191 mean chart limits, 181–184 natural variations, 179 patterns on control charts, 190–191 p-charts, 186–188, 190 process capability, 191–193 R-chart, 180 samples, 179 setting mean chart limits, 181–184 setting range chart limits and, 185 using ranges and mean charts, 185 variables for, 180 which chart to use, 190 x̄-chart, 180–190 Statistical tools for managers, T1–1

to T1–8 continuous probability distributions,

T1–4 to T1–7 discrete probability distribution, T1–2

to T1–4

expected value of a discrete probability distribution, T1–3

variance of a discrete probability distribution, T1–3 to T1–4

Steelcase, 277 Stepping-stone method, 572–575 Steps in forecasting, 88 Strategic importance:

of forecasting, 87–88 of layout decisions, 276 of learning curves, 611–612 of location, 254–255 of maintenance and reliability,

520–521 of short term scheduling, 468 of supply-chain management,

336–338 Strategic OM decisions, 35–36 Strategic planning and core

competencies, 361–363 Strategy, aggregate planning, 412–415

capacity and, 230 competitive advantages and,

126–127 definition, 34–35 development and implementation,

39–41 global operation options and, 42 human resource, 306 international, 42 issues in operations and, 36–39 life cycle and, 128 multidomestic, 43 operations in a global environment,

23–45 outsourcing, 359–369 process, 201–226 quality and, 156 supply chain, 341–343 transnational, 43

Strategy developing and, 30 Strategy driven investment, applying

investment analysis, 244 Structure for MRP, 441–445 Subaru, 160 Subtours, T5–8 Super Fast Pizza, 33 Supermarket MRP and, 447 Suppliers, lean operations in services

and, 513 Supply-chain management, 333–358

definition, 336 economics and, 340–341 E-procurement and, 347–349 ethics and, 339–340 forecasting and, 88 logistics management, 350–354 managing and, 343–347 measuring performance and,

354–356 objective of, 337 OM and, 35 partnering and, 12 performance and, 354 risk, 337–338 strategic importance of, 336–338 strategies and, 341–343 suppliers, few, many and, 341 sustainability and, 339 vendor selection and, 349–350

Supply Chain Operations Reference model (SCOR), 356

Surplus variables, T3–7

I16 General Index

Sustainability: carbon footprint, 272 environmentally friendly designs and,

138–140 recycle, 223 resources, 223 regulations, 224 reputation, 224–225 supply-chain mgt. and, 339–340 Wal-mart and, 367

SWOT analysis, 39 Symantec Corp., 54 Symbols:

decision trees and, 53 servicescapes and, 280–281

System nervousness, 446 Systems and life cycle perspectives, 138

TacoBell, 19, 76, 127 Taguchi concepts, 165 Takt time, 290, 290n, 295n Takumi, 158 Tangible costs, location strategies and, 257 Target oriented quality, 165 Techniques for enhancing

maintenance, 529 Techniques of project mgt., 55–60 Technological forecasts, 87 Ten OM strategy decisions, 39 Texas Instruments and, 158 Theory of comparative advantage,

362–363 Theory of constraints (TOC), capacity

and constraint mgt., 237 banking and, 238

Therbligs, 323 Third-Party logistics, 351–352 3-D object modeling, 136 Three time estimates in PERT, 66–67 Throughput time, 500 Time-based competition, product

development and, 140–142 alliances, 142 joint ventures, 142 purchasing technology by buying

a firm, 141–142 Time fences, 446 Time-function mapping, process

analysis, design and, 211–212 Time horizons, 86–87 Time Measurement Units (TMUs), 323 Time series forecasting, 90–118

cycles in, 90 cyclical variations in data, 108 decomposition of time series and, 90 exponential smoothing and, 94–98 exponential smoothing with trend

adjustment, 98–101 measuring forecast error, 95–98 moving averages and, 91–94 naive approach to, 90 random variations and, 90 seasonal variations in data, 103–108 seasonality, 90 smoothing constant, 94–95 trend and, 90 trend projections and, 101–103

Time studies, labor standards and, 317–322 Times series models, 89–90 Tools of total quality management,

166–170 cause & effect diagrams, 167 check sheets, 166–167

flow charts, 168–169 histogram, 169 knowledge of, 166 Pareto charts, 167–168 scatter diagrams, 167 statistical process control, 169–170

Total factor productivity, 15 Total productive maintenance (TPM),

528–529 Total quality management (TQM),

160–166 benchmarking, 163–164 continuous improvement, 161 definition, 160 employee empowerment, 162–163 inspection, 170–172 just-in-time, 164–165 services, 172–174 Six Sigma, 161–162 Taguchi concepts, 165 tools of, 166–170

Total slack time, 65 Tour, T5–15 Toyota Motor Corp., 496–498 Toyota Production System, 498–500,

511–512 Toyota University, 514 TQM. See Total quality management

(TQM) Tracking signal, 114 Transition to production, 150 Transnational strategy, global operations

and, 43–44 Transportation, location strategies and,

263–264 Transportation matrix, 569 Transportation method of linear

programming, 420–422 Transportation models, 567–581

initial solution and, 570–572 location and strategies and, 263–264 special issues in, 575–577 stepping-stone method and, 572–575 transportation modeling, 568–569

Transportation problems, MODI and VAM methods and, T4–1 to T4–10

MODI method, T4–2 to T4–4 VOGEL’s approximation method

(VAM), T4–4 to T4–7 Traveling salesman problem (TSP),

T5–4, T5–5 to T5–8 Trend projections, forecasting and, 90,

101–103 Trucking, logistics management and, 351 Trust, managing the supply chain

and, 344 24/7 operations, scheduling services

and, 487 Two-sided window, T5–12 Type I error, 195 Type II error, 195 Types of decision making environments,

534–538 Types of forecasts, 87

inventory, 375 layouts, 276–278 outsourcing, 361

UGS Corp., 146n, 288 Understand markets, global view of

operations and, 27, 28 Undirected arcs, routing and scheduling

vehicles, T5–3

Unisys Corp., 188 Unlimited arrival population, 585 UPS (United Parcel Service), 173, 423 U.S., NAFTA CAFTA and, 27 U.S. Steel, 470 Using, ExcelOM, A5–A6 Using POM for Windows, A6–A7 Uruguay, MERCOSUR and, 27 Utilization, capacity and, 229

Validity range for the shadow price, L.P. and, 557

Value analysis, 137 Value-chain analysis, 38 Value engineering, product development

and, 134–135 Value stream mapping, 212–213 Values, location strategy and, 258 Variability, lean operations and, 499–500 Variability in activity times, project mgt.

and, 65–71 probability of project completion, 68–71 three time estimates in PERT, 66–67

Variable(s) control charts for, 180 Variable costs, break-even analysis

and, 239 Variable demand, probabilistic models,

and 396 Variable inspection, 171 Variance of a discrete probability

distribution, statistical tools and, T1–3 to T1–4

Variety of queuing models, 590–601 Vehicle routing and scheduling, T5–1

to T5–18 characteristics of problems and, T5–3

to T5–5 introduction, T5–2 objectives of routing and scheduling

problems, T5–2 other problems, T5–13 to T5–14 routing service vehicles, T5–5 to

T5–11 scheduling service vehicles, T5–11

to T5–13 Vendor:

development, 350 evaluation, 349 managed inventory (VMI), 346 selection, supply-chain mgt. and,

349–350 Vertical integration, supply-chain mgt.

and, 342–343 Virtual companies, supply chain

strategies and, 343 Virtual reality technology, 137 Vision systems, production technology

and, 219–220 Visual workplace, job design and,

315–316 Vogel’s approximation method (VAM),

transportation problems and, T4–4 to T4–7

Volvo, 26

Wagner-Whitin algorithm, lot sizing and, 451

Waiting line models, 583–604, also see Queuing models

characteristics of waiting line system, 586–587

measuring queue performance and, 588

General Index I17

other queuing approaches, 601 queuing costs, 589–590 queuing models, varieties of, 590–601 queuing theory, 584 service characteristics and, 587–588

Waiting lines, 584 Wal-Mart, also see OM in Action

inventory and, 277 retail layout and, 280 sustainability and, 367

Warehousing layout, 276, 281–283 crossdocking, 282 customizing, 282 objective, 281 random stocking, 282

Waste elimination, JIT philosophy and, 498–499

Waterways, logistics mgt. and, 351 Westminster Software, Inc., 54 What is a learning curve?, 606–607

What is simulation?, 616–617 Wheeled Coach, 434–436 Where are OM jobs?, 7 Why study OM, 6–7 Witness software, 626 Work balance chart, 290 Work breakdown structure (WBS),

project mgt. and, 52–53 Work cells, layout and, 277

focused work center and focused factory, 291

requirements of, 288–289 scheduling and, 472 staffing and balancing, 289–291

Work environment, job design and, 312–314

Work-in-process (WIP) inventory, 375 Work measurement (Labor Standards),

317–328 historical experience and, 317

predetermined time standards and, 322–325

time studies and, 317–322 work sampling and, 325–328

Work order, 144 Work rules, human resources and, 308 Work schedules, labor planning and,

307–308 World Trade Organization (WTO), 27

x̄-charts, 180, 190 Xerox, 158, 163, 164

Yield management, aggregate planning and, 425–428

Zero defects, 161

This page intentionally left blank

P1

Photo Credits

CHAPTER 1: p. 2 (top): Andre Jenny/Alamy Images; p. 2 (bottom): Hard Rock Café; p. 3: Hard Rock Café; p. 9: From the Collections of Henry Ford Museum & Greenfield Village; p. 14: © Marc Asnin/CORBIS, all rights reserved; p. 17 (left): TEK Image/Photo Researchers, Inc.; p. 17 (right): John McLean/Photo Researchers, Inc.; p. 18: Siemens press picture, Courtesy of Siemens AG, Munich/Berlin. CHAPTER 2: p. 24: Boeing Commerical Airplane Group; p. 25: Boeing Commercial Airplane Group; p. 27: © Disney Enterprises, Inc.; p. 29: Kraipit Phanvut/SIPA Press; p. 33: AP Wide World Photos; p. 40: Courtesy of American Honda Motor Co., Inc.; p. 40 (top middle): Julie Lucht/Shutterstock; p. 40 (bottom middle): Courtesy of www.HondaNews.com; p. 43 (left): Copyright © 1997 Komatsu Ltd. All rights reserved; p. 43 (right): Reprinted courtesy of Caterpillar Inc. CHAPTER 3: p. 48 (left): © Bechtel Corporation; p. 48 (right): Q&A Photos, Ltd., www.qaphotos.com; p. 49: Bill Pogue/Getty Images Inc. – Stone Allstock; p. 49 (bottom right): Joe Cavaretta/AP Wide World Photos; p. 49 (bottom left): Thomas Hartwell/U.S. Agency for International Development (USAID); p. 54 (top): Getty Images, Inc.; p. 54 (bottom left): Jonathan Bailey Associates; p. 54 (bottom right): Courtesy of Jonathan Bailey Associates; p. 58: Jeffrey Allan Salter/Redux Pictures; p. 65: Hard Rock Café; p. 67: Paul Chesley/Getty Images Inc. — Stone Allstock; p. 74: Mai/Mai/Getty Images/Time Life Pictures; p. 76: David Young-Wolff/PhotoEdit Inc. CHAPTER 4: p. 84 (top): Kelly-Mooney Photography/CORBIS/© Disney Enterprises, Inc.; p. 84 (bottom): Jeff Greenberg/PhotoEdit, Inc./© Disney Enterprises, Inc.; p. 85: Peter Cosgrove/AP Wide World Photos/Disney characters © Disney Enterprises, Inc. Used by permission from Disney Enterprises, Inc.; p. 85 (top right): © Kevin Fleming/CORBIS, all rights reserved/Used by permission from Disney Enterprises, Inc.; p. 85 (bottom): Getty Images, Inc./Disney characters © Disney Enterprise, Inc. Used by permission from Disney Enterprises, Inc.; p. 88: Wikipedia, The Free Encyclopedia; p. 91: Fred Prouser/CORBIS-NY; p. 104: Courtesy of Yamaha Motor media; p. 111: ICI Paints; p. 117: Anton Vengo/SuperStock, Inc. CHAPTER 5: p. 124: Regal Marine Industries, Inc.; p. 125: Regal Marine Industries, Inc.; p. 127 (left): John Acurso. NIKE and the Swoosh Design logo are trademarks of Nike, Inc. and its affiliates. Used by permission; p. 127 (mid- dle): © FranAois Grelet/Michelin/Newscom; p. 127 (right): Dutch Boy Paints/Sherwin Williams; p. 136 (left): Maximilian Stock LTD/Phototake NYC; p. 136 (middle): Courtesy of Silicon Graphics, Inc.; p. 136 (right): Maximilian Stock LTD/Phototake NYC; p. 137: Courtesy 3D Systems; p. 138: BMW of North America, LLC; p. 140 (left): Dainis Derics/Shutterstock; p. 140 (right): Eugene Hoshiko/AP Wide World Photos; p. 143: David Murray © Dorling Kindersley; p. 146 (left): J.R. Simplot Company; p. 146 (right): David R. Frazier/David R. Frazier Photolibrary, Inc. CHAPTER 6: p. 154: Jonathan Bailey Associates; p. 155 (top): Courtesy of Cardinal Health; p. 155 (middle and bottom): Jonathan Bailey Associates; p. 160: Courtesy of Subaru of Indiana Automotive, Inc. p. 163: TRW Automotive; p. 164: Clive Mason/Allsport Concepts/Getty Images; p. 171: Ralf-Finn Hestoft/CORBIS-NY; p. 172 (left): Jonathan Nourok/PhotoEdit, Inc.; p. 172 (right): © David Joel/Getty Images; p. 173: Ann States Photography. SUPPLEMENT 6: p. 178: Courtesy of BetzDearborn, A Division of Hercules Incorporated; p. 187 (left): Donna McWilliam/AP Wide World Photos; p. 187 (right): Richard Pasley Photography; p. 189: © Charles O’Rear/CORBIS, all rights reserved; p. 193: Georgia Institute of Technology; p. 195: Faro Technologies. CHAPTER 7: p. 202: © Igor Lubnevskiy/Alamy; p. 203 (top left): Courtesy of Harley-Davidson; page 203 (bottom right): Catherine Karnow/Woodfin Camp & Associates, Inc.; p. 203 (top right): Dave Bartruff/Stock Boston; p. 203 (bottom left): Steven Rubin/The Image Works; p. 205 (left): Brasiliao/Shutterstock; p. 205 (middle, left): 300 dpi/Shutterstock; p. 205 (middle, right): Tund/ Shutterstock; p. 205: (right): Archman/Shutterstock; p. 216: Courtesy of align- tech.com; p. 219: Courtesy of Anheuser-Busch, Inc.; p. 221 (top left): Getty Images, Inc. – Stone Allstock; p. 221 (top right): G2 Classic, Gensym Corporation; p. 221 (middle left): Ron Sully/Omnica Corporation; p. 221 (bottom middle): Tate Carlson/Stockphoto.com; p. 221 (bottom right): iStockphoto.com; p. 221 (bottom left): Courtesy of Diamond Phoenix Corporation; p. 224 (left): Kruell/laif/Redux Pictures; p. 224 (right): Courtesy of RF Technologies, Inc. SUPPLEMENT 7: p. 228: John Garrett/Getty Images, Inc.-Stone Allstock; p. 232: Chitose Suzuki/AP Wide World Photos; p. 233 (left): © Bob Krist/ CORBIS; p. 233 (right): Michelangelo Gisone/AP Wide World Photos; p. 234:

© Lester Lefkowitz/CORBIS, all rights reserved; p. 240: Getty Images; p. 241: Jupiter Images Royalty Free. CHAPTER 8: p. 252 (top): Chris Sorensen Photography; p. 252 (bottom): AP Wide World Photos; p. 253 (top): Jon Riley/Southern Stock/Photolibrary.com; p. 253 (middle): Matt York/AP Wide World Photos; p. 253 (bottom): Shi Li/shzq/ImagineChina.com; p. 257: Allen Tannenbaum; p. 265 (left): Monica Lewis/True Bethel Baptist Church; p. 265 (right): Courtesy of Jay Heizer; p. 267: MayInfo Corporation. CHAPTER 9: p. 274: Rick Wiliking/CORBIS-NY; p. 275: Callie Lipkin Photography, Inc. p. 275 (top): Nancy Siesel/NYT Pictures; p. 277: Chuck Keeler/Getty Images, Inc. – Stone Allstock; p. 280 (top): Courtesy of walmart- facts.com/www.walmartfacts.com/articles/4939.aspx; p. 280 (bottom): Courtesy of Hard Rock Café; p. 281: Fabian Bimmer/AP Wide World Photos; p. 283 (top): Craig Ruttle/AP Wide World Photos; p. 283 (middle): Dick Blume/The Image Works; p. 283 (bottom): CORBIS-NY; p. 288: UGS; p. 294: Boeing Commercial Airplane Group; p. 297: Cary Wolinsky/Stock Boston. CHAPTER 10: p. 304: John Raoux/The Orlando Sentinel; p. 310 (left): Pam Francis/Southwest Airlines Co.: p. 310 (right): Courtesy of Southwest Airlines; p. 312 (top): Andy Freeberg Photography; p. 312 (bottom): Scott Hirko/ iStockphoto.com; p. 313 (left): Chad Ehlers/Stock Connection; p. 313 (right): © NUFEA/Boeing; p. 318 (top): AP Wide World Photos; p. 318 (bottom): Tony Freeman/PhotoEdit Inc.; p. 321: Laubrass, Inc.; p. 323: F. Hoffmann/The Images Works; p. 325: Samuel Ashfield/Photo Researchers, Inc. CHAPTER 11: p. 334: Courtesy of Darden Corporation: p. 335: Courtesy of Darden Corporation; p. 336 (top left): Bill Stormont/CORBIS-NY; p. 336 (top middle): Susan Van Etten/PhotoEdit Inc.; p. 336 (middle bottom): David de Lossy, Ghislain & Marie/Getty Images Inc. – Image Bank; p. 336 (middle): Getty Images/Digial Vision; p. 336 (middle): Michael Newman/PhotoEdit Inc.; p. 336 (top right): Jose Manuel Riberio, REUTERS/CORBIS-NY; p. 336 (middle right): Peter Byron/PhotoEdit Inc.; p. 336 (bottom right): Richard Levine/Alamy.com; p. 338: Courtesy of Jackson & Perkins; p. 348: Courtesy of Ariba, Inc.; p. 351: South Carolina State Port Authority; p. 352: Francesco Broli; p. 353: Courtesy of Federal Express Corporation. SUPPLEMENT 11: p. 360: Keith Dannemiller/Alamy Images; p. 363: NASA/Associated Press; p. 364: © Sherwin Crasto/Reuters/CORBIS, all rights reserved; p. 366: A. Ramey/PhotoEdit Inc. CHAPTER 12: p. 372 (top): Marilyn Newton; p. 372 (middle and bottom): David Burnett/Contact Press Images, Inc.; p. 373 (top): David Burnett/Contact Press Images, Inc.; p. 373 (bottom): Contact Press Images, Inc.; p. 374: Anna Sheveleva/Shutterstock; p. 378: Courtesy of Deere & Company, Moline, IL, USA; p. 379: McKesson Corporation; p. 385: AP Wide World Photos; p. 388: Telegraph Colour Library/Lester Lefkowitz/Getty Images, Inc. – Taxi; p. 390: Anthony Labbe Photography; p. 400: Richard Levine/Alamy.com. CHAPTER 13: p. 408–409: Frito Lay Corporation; p. 411: Courtesy of Simplicity Manufacturing, Inc.; p. 413 (top left) Getty Images–Stockbyte, Royalty Free; p. 413 (top right): Courtesy of OSA (National Organization for Automotive Safety and Victim’s Aid). Copyright 2003. All rights reserved. Reprinted with permission; p. 413 (left bottom): Ron Sherman/Creative Eye/MIRA.com; p. 413 (middle right): Mark Richards/PhotoEdit Inc.; p. 413 (middle right): Michael Newman/PhotoEdit Inc.; p. 413 (bottom right): GmbH & Co. KG/Alamy Images; p. 414: John Deere & Company; p. 423: Greg Foster/Gregory Foster, Inc.; p. 426: Getty Images. CHAPTER 14: p. 434 (left): Collins Industries, Inc.; p. 434 (right): Wheeled Coach Industries Incorporated; p. 435 (left): Wheeled Coach Industries Incorporated; p. 435 (right): Collins Industries, Inc.; p. 448: John Russell/AP Wide World Photos: p. 451: Courtesy of User Solutions, Inc. CHAPTER 15: p. 466: Courtesy of Delta Air Lines; p. 467 (top left): Mike Segar/CORBIS-NY; p. 467 (bottom): Etienne de Malglaive/ZUMA Press- Gamma; p. 467 (top right): AP Wide World Photos; p. 469 (top): Michael Newman/Photo Edit Inc.; p. 469 (bottom): Peter Endig/Landov Media; p. 470: Tom Carroll/Phototake NYC; p. 477: PCN Photography; p. 481: Charles Gupton/Charles Gupton Photography; p. 486: Patricia McDonnell/AP Wide World Photos; p. 487: (c) Courtesy of Choice Hotels International. CHAPTER 16: p. 497: © Bob Daemmrich/CORBIS, all rights reserved; p. 500: © Culinary Institute of America; p. 502: Cessna Aircraft Company; p. 508: Donna Shader; p. 511: New United Motor Manufacturing, Inc. (NUMMI); p. 512: Gerardo Burgos Galindo/Shutterstock; p. 513: Colin Young- Wolff/PhotoEdit Inc.; p. 514: Courtesy of Cardinal Health, Inc.

P2 Photo Credits

CHAPTER 17: p. 518: Orlando Utilities Commission; p. 519: Orlando Utilities Commission. MODULE A: p. 532: Shutterstock; p. 538 (left): EyeWire Collection/Getty Images – Photodisc-Royalty Free; p. 538 (right): Syncopation Software. MODULE B: p. 548: Harry M. Walker. MODULE C: p. 568: Shutterstock. MODULE D: p. 584: © Disney Enterprise, Inc./Jeff Greenberg/PhotoEdit; p. 589: Ric Feld/AP Wide World Photos; p. 591: Roy/EXPLORER/Photo

Researchers, Inc. p. 594: Courtesy of Costco Wholesale; p. 597 (left): David Young-Wolff/PhotoEdit Inc.; p. 597 (right): Stephen Brashear/AP Wide World Photos; p. 600: Stephen J. Carrera/AP Wide World Photos. MOUDLE E: p. 606: Dick Blume/The Image Works. MODULE F: p. 616 (right): Micro Analysis & Design Simulation Software, Inc.; p. 616 (left): Department of Health & Social Services, Christine Lynch/AP Wide World Photos; p. 618: Donna Shader; p. 621: Mark Lennihan/AP Wide World Photos.

  • Table of Contents
  • About the Authors
  • Preface
  • PART ONE: Introduction to Operations Management
    • 1. Operations and Productivity
      • Global Company Profile: Hard Rock Cafe
      • What Is Operations Management?
      • Organizing to Produce Goods and Services
      • Why Study OM?
      • What Operations Managers Do
      • The Heritage of Operations Management
      • Operations in the Service Sector
      • Exciting New Trends in Operations Management
      • The Productivity Challenge
      • Ethics and Social Responsibility
      • Chapter Summary
      • Key Terms
      • Solved Problems
      • Bibliography
    • 2. Operations Strategy in a Global Environment
      • Global Company Profile: Boeing
      • A Global View of Operations
      • Developing Missions and Strategies
      • Achieving Competitive Advantage Through Operations
      • Ten Strategic OM Decisions
      • Issues in Operations Strategy
      • Strategy Development and Implementation
      • Global Operations Strategy Options
      • Chapter Summary
      • Key Terms
      • Solved Problems
      • Bibliography
    • 3. Project Management
      • Global Company Profile: Bechtel Group
      • The Importance of Project Management
      • Project Planning
      • Project Scheduling
      • Project Controlling
      • Project Management Techniques: PERT and CPM
      • Determining the Project Schedule
      • Variability in Activity Times
      • Cost–Time Trade-Offs and Project Crashing
      • A Critique of PERT and CPM
      • Using Microsoft Project to Manage Projects
      • Chapter Summary
      • Key Terms
      • Using Software to Solve Project Management Problems
      • Solved Problems
      • Bibliography
    • 4. Forecasting
      • Global Company Profile: Walt Disney Parks & Resorts
      • What Is Forecasting?
      • The Strategic Importance of Forecasting
      • Seven Steps in the Forecasting System
      • Forecasting Approaches
      • Time-Series Forecasting
      • Associative Forecasting Methods: Regression and Correlation Analysis
      • Monitoring and Controlling Forecasts
      • Forecasting in the Service Sector
      • Chapter Summary
      • Key Terms
      • Using Software in Forecasting
      • Solved Problems
      • Bibliography
  • PART TWO: Designing Operations
    • 5. Design of Goods and Services
      • Global Company Profile: Regal Marine
      • Goods and Services Selection
      • Generating New Products
      • Product Development
      • Issues for Product Design
      • Ethics, Environmentally-Friendly Designs, and Sustainability
      • Time-Based Competition
      • Defining a Product
      • Documents for Production
      • Service Design
      • Application of Decision Trees to Product Design
      • Transition to Production
      • Chapter Summary
      • Key Terms
      • Solved Problems
      • Bibliography
    • 6. Managing Quality
      • Global Company Profile: Arnold Palmer Hospital
      • Quality and Strategy
      • Defining Quality
      • International Quality Standards
      • Total Quality Management
      • Tools of TQM
      • The Role of Inspection
      • TQM in Services
      • Chapter Summary
      • Key Terms
      • Bibliography
    • Supplement 6: Statistical Process Control
      • Statistical Process Control (SPC)
      • Process Capability
      • Acceptance Sampling
      • Supplement Summary
      • Key Terms
      • Using Software for SPC
      • Solved Problems
      • Bibliography
    • 7 Process Strategy and Sustainability
      • Global Company Profile: Harley-Davidson
      • Four Process Strategies
      • Process Analysis and Design
      • Special Considerations for Service Process Design
      • Selection of Equipment and Technology
      • Production Technology
      • Technology in Services
      • Process Redesign
      • Sustainability
      • Chapter Summary
      • Key Terms
      • Solved Problems
      • Bibliography
    • Supplement 7: Capacity and Constraint Management
      • Capacity
      • Bottleneck Analysis and the Theory of Constraints
      • Break-Even Analysis
      • Reducing Risk with Incremental Changes
      • Applying Expected Monetary Value (EMV) to Capacity Decisions
      • Applying Investment Analysis to Strategy-Driven Investments
      • Supplement Summary
      • Key Terms
      • Using Software for Break-Even Analysis
      • Solved Problems
      • Bibliography
    • 8. Location Strategies
      • Global Company Profile: FedEx
      • The Strategic Importance of Location
      • Factors That Affect Location Decisions
      • Methods of Evaluating Location Alternatives
      • Service Location Strategy
      • Chapter Summary
      • Key Terms
      • Using Software to Solve Location Problems
      • Solved Problems
      • Bibliography
    • 9. Layout Strategies
      • Global Company Profile: McDonald’s
      • The Strategic Importance of Layout Decisions
      • Types of Layout
      • Office Layout
      • Retail Layout
      • Warehousing and Storage Layouts
      • Fixed-Position Layout
      • Process-Oriented Layout
      • Work Cells
      • Repetitive and Product-Oriented Layout
      • Chapter Summary
      • Key Terms
      • Using Software to Solve Layout Problems
      • Solved Problems
      • Bibliography
    • 10. Human Resources, Job Design, and Work Measurement
      • Global Company Profile: Rusty Wallace’s NASCAR Racing Team
      • Human Resource Strategy for Competitive Advantage
      • Labor Planning
      • Job Design
      • Ergonomics and the Work Environment
      • Methods Analysis
      • The Visual Workplace
      • Labor Standards
      • Ethics
      • Chapter Summary
      • Key Terms
      • Solved Problems
      • Bibliography
  • PART THREE: Managing Operations
    • 11. Supply-Chain Management
      • Global Company Profile: Darden Restaurants
      • The Supply Chain’s Strategic Importance
      • Ethics and Sustainability
      • Supply-Chain Economics
      • Supply-Chain Strategies
      • Managing the Supply Chain
      • E-Procurement
      • Vendor Selection
      • Logistics Management
      • Measuring Supply-Chain Performance
      • Chapter Summary
      • Key Terms
      • Solved Problems
      • Bibliography
    • Supplement 11: Outsourcing as a Supply-Chain Strategy
      • What Is Outsourcing?
      • Strategic Planning and Core Competencies
      • Risks of Outsourcing
      • Evaluating Outsourcing Risk with Factor Rating
      • Advantages and Disadvantages of Outsourcing
      • Audits and Metrics to Evaluate Performance
      • Ethical Issues in Outsourcing
      • Supplement Summary
      • Key Terms
      • Using Software to Solve Outsourcing Problems
      • Bibliography
    • 12. Inventory Management
      • Global Company Profile: Amazon.com
      • The Importance of Inventory
      • Managing Inventory
      • Inventory Models
      • Inventory Models for Independent Demand
      • Probabilistic Models and Safety Stock
      • Single-Period Model
      • Fixed-Period (P) Systems
      • Chapter Summary
      • Key Terms
      • Using Software to Solve Inventory Problems
      • Solved Problems
      • Bibliography
    • 13. Aggregate Planning
      • Global Company Profile: Frito-Lay
      • The Planning Process
      • The Nature of Aggregate Planning
      • Aggregate Planning Strategies
      • Methods for Aggregate Planning
      • Aggregate Planning in Services
      • Yield Management
      • Chapter Summary
      • Key Terms
      • Using Software for Aggregate Planning
      • Solved Problems
      • Bibliography
    • 14. Material Requirements Planning (MRP) and ERP
      • Global Company Profile: Wheeled Coach
      • Dependent Demand
      • Dependent Inventory Model Requirements
      • MRP Structure
      • MRP Management
      • Lot-Sizing Techniques
      • Extensions of MRP
      • MRP in Services
      • Enterprise Resource Planning (ERP)
      • Chapter Summary
      • Key Terms
      • Using Software to Solve MRP Problems
      • Solved Problems
      • Bibliography
    • 15. Short-Term Scheduling
      • Global Company Profile: Delta Air Lines
      • The Importance of Short-Term Scheduling
      • Scheduling Issues
      • Scheduling Process-Focused Facilities
      • Loading Jobs
      • Sequencing Jobs
      • Finite Capacity Scheduling (FCS)
      • Scheduling Repetitive Facilities
      • Scheduling Services
      • Chapter Summary
      • Key Terms
      • Using Software for Short-Term Scheduling
      • Solved Problems
      • Bibliography
    • 16. JIT and Lean Operations
      • Global Company Profile: Toyota Motor Corporation
      • Just-in-Time, the Toyota Production System, and Lean Operations
      • Just-in-Time (JIT)
      • JIT Layout
      • JIT Inventory
      • JIT Scheduling
      • JIT Quality
      • Toyota Production System
      • Lean Operations
      • Lean Operations in Services
      • Chapter Summary
      • Key Terms
      • Solved Problems
      • Bibliography
    • 17. Maintenance and Reliability
      • Global Company Profile: Orlando Utilities Commission
      • The Strategic Importance of Maintenance and Reliability
      • Reliability
      • Maintenance
      • Total Productive Maintenance
      • Techniques for Enhancing Maintenance
      • Chapter Summary
      • Key Terms
      • Using Software to Solve Reliability Problems
      • Solved Problems
      • Bibliography
  • PART FOUR: Quantitative Modules
    • A. Decision-Making Tools
      • The Decision Process in Operations
      • Fundamentals of Decision Making
      • Decision Tables
      • Types of Decision-Making Environments
      • Decision Trees
      • Module Summary
      • Key Terms
      • Using Software for Decision Models
      • Solved Problems
      • Bibliography
    • B. Linear Programming
      • Why Use Linear Programming?
      • Requirements of a Linear Programming Problem
      • Formulating Linear Programming Problems
      • Graphical Solution to a Linear Programming Problem
      • Sensitivity Analysis
      • Solving Minimization Problems
      • Linear Programming Applications
      • The Simplex Method of LP
      • Module Summary
      • Key Terms
      • Using Software to Solve LP Problems
      • Solved Problems
      • Bibliography
    • C. Transportation Models
      • Transportation Modeling
      • Developing an Initial Solution
      • The Stepping-Stone Method
      • Special Issues in Modeling
      • Module Summary
      • Key Terms
      • Using Software to Solve Transportation Problems
      • Solved Problems
      • Bibliography
    • D. Waiting-Line Models
      • Queuing Theory
      • Characteristics of a Waiting-Line System
      • Queuing Costs
      • The Variety of Queuing Models
      • Other Queuing Approaches
      • Module Summary
      • Key Terms
      • Using Software to Solve Queuing Problems
      • Solved Problems
      • Bibliography
    • E. Learning Curves
      • What Is a Learning Curve?
      • Learning Curves in Services and Manufacturing
      • Applying the Learning Curve
      • Strategic Implications of Learning Curves
      • Limitations of Learning Curves
      • Module Summary
      • Key Terms
      • Using Software for Learning Curves
      • Solved Problems
      • Bibliography
    • F. Simulation
      • What Is Simulation?
      • Advantages and Disadvantages of Simulation
      • Monte Carlo Simulation
      • Simulation of a Queuing Problem
      • Simulation and Inventory Analysis
      • Module Summary
      • Key Terms
      • Using Software in Simulation
      • Solved Problems
      • Bibliography
  • Appendices
  • Indices
    • A
    • B
    • C
    • D
    • E
    • F
    • G
    • H
    • I
    • J
    • K
    • L
    • M
    • N
    • O
    • P
    • R
    • S
    • T
    • U
    • V
    • W
    • Y
    • Z
  • General Index
    • A
    • B
    • C
    • D
    • E
    • F
    • G
    • H
    • I
    • J
    • K
    • L
    • M
    • N
    • O
    • P
    • Q
    • R
    • S
    • T
    • U
    • V
    • W
    • Y
    • Z
  • Photo Credits

Chapter 8_Location Strategies.pdf

9/19/12

1

8 - 1

8 PowerPoint presentation to accompany Heizer and Render Operations Management, 10e Principles of Operations Management, 8e PowerPoint slides by Jeff Heyl

Prof.Vivek Veeraiah, MG 6303 Operations Management

Location Strategies

8 - 2

Outline

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Global Company Profile: FedEx

u  The Strategic Importance of Location

8 - 3

Outline  –  Continued

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Factors That Affect Location Decisions u Labor Productivity u Exchange Rates and Currency Risks u Costs u Political Risk, Values, and Culture u Proximity to Markets u Proximity to Suppliers u Proximity to Competitors (Clustering)

8 - 4

Outline  –  Continued

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Methods of Evaluating Location Alternatives u The Factor-Rating Method u Locational Break-Even Analysis u Center-of-Gravity Method u Transportation Model

8 - 5

Outline  –  Continued

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Service Location Strategy u How Hotel Chains Select Sites u The Call Center Industry u Geographic Information Systems

8 - 6

Learning  Objectives When you complete this chapter you should be able to:

Prof.Vivek Veeraiah, MG 6303 Operations Management

1.  Identify and explain seven major factors that effect location decisions

2.  Compute labor productivity 3.  Apply the factor-rating method 4.  Complete a locational break-even

analysis graphically and mathematically

9/19/12

2

8 - 7

Learning  Objectives When you complete this chapter you should be able to:

Prof.Vivek Veeraiah, MG 6303 Operations Management

5.  Use the center-of-gravity method 6.  Understand the differences between

service and industrial-sector location strategies

8 - 8

Federal  Express •  Central hub concept

o  Enables service to more locations with fewer aircraft

o  Enables matching of aircraft flights with package loads

o  Reduces mishandling and delay in transit because there is total control of packages from pickup to delivery

Prof.Vivek Veeraiah, MG 6303 Operations Management

8 - 9

Location  Strategy

Prof.Vivek Veeraiah, MG 6303 Operations Management

The objective of location strategy is to maximize the benefit of location

to the firm

8 - 10

Location  Strategy

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  One of the most important decisions a firm makes

u  Increasingly global in nature u  Significant impact on fixed and

variable costs u  Decisions made relatively infrequently u  The objective is to maximize the

benefit of location to the firm

8 - 11

Location  and  Costs

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Location decisions based on low cost require careful consideration

u  Once in place, location-related costs are fixed in place and difficult to reduce

u  Determining optimal facility location is a good investment

8 - 12

Location  and  Innovation

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Cost is not always the most important aspect of a strategic decision

u  Four key attributes when strategy is based on innovation u High-quality and specialized inputs u An environment that encourages

investment and local rivalry u A sophisticated local market u Local presence of related and

supporting industries

9/19/12

3

8 - 13

Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Long-term decisions u  Decisions made infrequently u  Decision greatly affects both fixed

and variable costs u  Once committed to a location,

many resource and cost issues are difficult to change

8 - 14

Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

Country Decision Key Success Factors 1.  Political risks, government

rules, attitudes, incentives 2.  Cultural and economic

issues 3.  Location of markets 4.  Labor talent, attitudes,

productivity, costs 5.  Availability of supplies,

communications, energy 6.  Exchange rates and

currency risks Figure 8.1

8 - 15

Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

Region/ Community

Decision

Key Success Factors 1.  Corporate desires 2.  Attractiveness of region 3.  Labor availability and costs 4.  Costs and availability of utilities 5.  Environmental regulations 6.  Government incentives and

fiscal policies 7.  Proximity to raw materials and

customers 8.  Land/construction costs

MN

WI

MI

IL IN OH

Figure 8.1 8 - 16

Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

Site Decision Key Success Factors

1.  Site size and cost 2.  Air, rail, highway, and

waterway systems 3.  Zoning restrictions 4.  Proximity of services/

supplies needed 5.  Environmental impact

issues

Figure 8.1

8 - 17

Global  Competitiveness   Index  of  Countries

Prof.Vivek Veeraiah, MG 6303 Operations Management

Country 2009 Rank 2005 Rank Switzerland 1 4 USA 2 1 Japan 8 10 Canada 9 13 UK 13 9 Israel 27 23 China 29 48 Italy 48 38 India 49 22 Mexico 60 59 Russia 63 53 Table 8.1

8 - 18

Factors  That  Affect     Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Labor productivity u  Wage rates are not the only cost u  Lower productivity may increase total cost

Labor cost per day Productivity (units per day)

= Cost per unit

Connecticut

= $1.17 per unit $70

60 units

Juarez

= $1.25 per unit $25

20 units

9/19/12

4

8 - 19

Factors  That  Affect     Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Exchange rates and currency risks u  Can have a significant impact on costs u  Rates change over time

u  Costs u  Tangible - easily measured costs such as

utilities, labor, materials, taxes u  Intangible - less easy to quantify and

include education, public transportation, community, quality-of-life

8 - 20

Factors  That  Affect     Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Exchange rates and currency risks u  Can have a significant impact on cost

structure u  Rates change over time

u  Costs u  Tangible - easily measured costs such as

utilities, labor, materials, taxes u  Intangible - less easy to quantify and

include education, public transportation, community, quality-of-life

Location decisions based on costs alone

can create difficult ethical

situations

8 - 21

Factors  That  Affect     Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Political risk, values, and culture u  National, state, local governments

attitudes toward private and intellectual property, zoning, pollution, employment stability may be in flux

u  Worker attitudes towards turnover, unions, absenteeism

u  Globally cultures have different attitudes towards punctuality, legal, and ethical issues

8 - 22

Ranking  Corruption

Prof.Vivek Veeraiah, MG 6303 Operations Management

Rank Country 2009 CPI Score (out of 10) 1 New Zealand 9.4 2 Demark 9.3 3 Singapore, Sweden 9.2 5 Switzerland 9.0 8 Australia, Canada, Iceland 8.7 12 Hong Kong 8.2 14 Germany 8.0 17 Japan, UK 7.7 19 USA 7.5 37 Taiwan 5.6 39 South Korea 5.5 56 Malaysia 4.5 79 China 3.6 89 Mexico 3.3 146 Russia 2.2

Least Corrupt

Most Corrupt

8 - 23

Factors  That  Affect     Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Proximity to markets u  Very important to services u  JIT systems or high transportation costs

may make it important to manufacturers u  Proximity to suppliers

u  Perishable goods, high transportation costs, bulky products

8 - 24

Factors  That  Affect     Location  Decisions

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Proximity to competitors u  Called clustering u  Often driven by resources such as natural,

information, capital, talent u  Found in both manufacturing and service

industries

9/19/12

5

8 - 25

Clustering  of  Companies

Prof.Vivek Veeraiah, MG 6303 Operations Management

Industry Locations Reason for clustering Wine making Napa Valley (US)

Bordeaux region (France)

Natural resources of land and climate

Software firms Silicon Valley, Boston, Bangalore (India)

Talent resources of bright graduates in scientific/technical areas, venture capitalists nearby

Race car builders

Huntington/North Hampton region (England)

Critical mass of talent and information

Table 8.3 8 - 26

Clustering  of  Companies

Prof.Vivek Veeraiah, MG 6303 Operations Management

Industry Locations Reason for clustering Theme parks (Disney World, Universal Studios)

Orlando, Florida A hot spot for entertainment, warm weather, tourists, and inexpensive labor

Electronics firms

Northern Mexico NAFTA, duty free export to US

Computer hardware manufacturers

Singapore, Taiwan High technological penetration rate and per capita GDP, skilled/ educated workforce with large pool of engineers

Table 8.3

8 - 27

Clustering  of  Companies

Prof.Vivek Veeraiah, MG 6303 Operations Management

Industry Locations Reason for clustering Fast food chains (Wendy’s, McDonald’s, Burger King, and Pizza Hut)

Sites within 1 mile of each other

Stimulate food sales, high traffic flows

General aviation aircraft (Cessna, Learjet, Boeing)

Wichita, Kansas Mass of aviation skills

Orthopedic device manufacturing

Warsaw, Indiana Ready supply of skilled workers, strong U.S. market

Table 8.3 8 - 28

Factor-­‐‑Rating  Method

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Popular because a wide variety of factors can be included in the analysis

u  Six steps in the method 1.  Develop a list of relevant factors called key

success factors 2.  Assign a weight to each factor 3.  Develop a scale for each factor 4.  Score each location for each factor 5.  Multiply score by weights for each factor for

each location 6.  Recommend the location with the highest

point score

8 - 29

Factor-­‐‑Rating  Example

Prof.Vivek Veeraiah, MG 6303 Operations Management

Key Scores Success (out of 100) Weighted Scores Factor Weight France Denmark France Denmark

Labor availability and attitude .25 70 60 (.25)(70) = 17.5 (.25)(60) = 15.0 People-to- car ratio .05 50 60 (.05)(50) = 2.5 (.05)(60) = 3.0 Per capita income .10 85 80 (.10)(85) = 8.5 (.10)(80) = 8.0 Tax structure .39 75 70 (.39)(75) = 29.3 (.39)(70) = 27.3 Education and health .21 60 70 (.21)(60) = 12.6 (.21)(70) = 14.7 Totals 1.00 70.4 68.0

Table 8.4 8 - 30

Locational     Break-­‐‑Even  Analysis

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Method of cost-volume analysis used for industrial locations

u  Three steps in the method 1.  Determine fixed and variable costs for

each location 2.  Plot the cost for each location 3.  Select location with lowest total cost for

expected production volume

9/19/12

6

8 - 31

Locational  Break-­‐‑Even   Analysis  Example

Prof.Vivek Veeraiah, MG 6303 Operations Management

Three locations:

Akron $30,000 $75 $180,000 Bowling Green $60,000 $45 $150,000 Chicago $110,000 $25 $160,000

Fixed Variable Total City Cost Cost Cost

Total Cost = Fixed Cost + (Variable Cost x Volume)

Selling price = $120 Expected volume = 2,000 units

8 - 32

Locational  Break-­‐‑Even   Analysis  Example

Prof.Vivek Veeraiah, MG 6303 Operations Management

– $180,000 –

– $160,000 – $150,000 –

– $130,000 –

– $110,000 –

– –

$80,000 – –

$60,000 – – –

$30,000 – –

$10,000 – –

A nn

ua l c

os t

| | | | | | | 0 500 1,000 1,500 2,000 2,500 3,000

Volume

Akron lowest

cost Bowling Green

lowest cost Chicago lowest

cost

Chica go co

st cu rve

Ak ro

n c os

t

cu rv

e

Bo wli

ng Gre

en

cos t cu

rve

Figure 8.2

8 - 33

Center-­‐‑of-­‐‑Gravity   Method

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Finds location of distribution center that minimizes distribution costs

u  Considers u Location of markets u Volume of goods shipped to those

markets u Shipping cost (or distance)

8 - 34

Center-­‐‑of-­‐‑Gravity   Method

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Place existing locations on a coordinate grid u Grid origin and scale is arbitrary u Maintain relative distances

u  Calculate X and Y coordinates for ‘center of gravity’ u Assumes cost is directly

proportional to distance and volume shipped

8 - 35

Center-­‐‑of-­‐‑Gravity   Method

Prof.Vivek Veeraiah, MG 6303 Operations Management

x - coordinate = ∑dixQi

∑Qi i

i

∑diyQi

∑Qi i

i

y - coordinate =

where dix = x-coordinate of location i diy = y-coordinate of location i Qi = Quantity of goods moved to

or from location i 8 - 36

Center-­‐‑of-­‐‑Gravity   Method

Prof.Vivek Veeraiah, MG 6303 Operations Management

North-South

East-West

120 –

90 –

60 –

30 –

– | | | | | | 30 60 90 120 150 Arbitrary origin

Chicago (30, 120) New York (130, 130)

Pittsburgh (90, 110)

Atlanta (60, 40)

Figure 8.3

9/19/12

7

8 - 37

Center-­‐‑of-­‐‑Gravity   Method

Prof.Vivek Veeraiah, MG 6303 Operations Management

Number of Containers Store Location Shipped per Month

Chicago (30, 120) 2,000 Pittsburgh (90, 110) 1,000 New York (130, 130) 1,000 Atlanta (60, 40) 2,000

x-coordinate = (30)(2000) + (90)(1000) + (130)(1000) + (60)(2000)

2000 + 1000 + 1000 + 2000 = 66.7

y-coordinate = (120)(2000) + (110)(1000) + (130)(1000) + (40)(2000)

2000 + 1000 + 1000 + 2000 = 93.3

8 - 38

Center-­‐‑of-­‐‑Gravity   Method

Prof.Vivek Veeraiah, MG 6303 Operations Management

North-South

East-West

120 –

90 –

60 –

30 –

– | | | | | | 30 60 90 120 150 Arbitrary origin

Chicago (30, 120) New York (130, 130)

Pittsburgh (90, 110)

Atlanta (60, 40)

Center of gravity (66.7, 93.3) +

Figure 8.3

8 - 39

Transportation  Model

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Finds amount to be shipped from several points of supply to several points of demand

u  Solution will minimize total production and shipping costs

u  A special class of linear programming problems

8 - 40

Worldwide  Distribution  of   Volkswagens  and  Parts

Prof.Vivek Veeraiah, MG 6303 Operations Management

Figure 8.4

8 - 41

Service  Location   Strategy

1.  Purchasing power of customer-drawing area 2.  Service and image compatibility with

demographics of the customer-drawing area 3.  Competition in the area 4.  Quality of the competition 5.  Uniqueness of the firm’s and competitors’

locations 6.  Physical qualities of facilities and neighboring

businesses 7.  Operating policies of the firm 8.  Quality of management

Prof.Vivek Veeraiah, MG 6303 Operations Management 8 - 42

Location  Strategies

Prof.Vivek Veeraiah, MG 6303 Operations Management

Table 8.6

Service/Retail/Professional Location Goods-Producing Location Revenue Focus Cost Focus

Volume/revenue Drawing area; purchasing power Competition; advertising/pricing

Physical quality

Parking/access; security/lighting; appearance/image

Cost determinants

Rent Management caliber Operations policies (hours, wage

rates)

Tangible costs Transportation cost of raw material Shipment cost of finished goods Energy and utility cost; labor; raw

material; taxes, and so on Intangible and future costs

Attitude toward union Quality of life Education expenditures by state Quality of state and local

government

9/19/12

8

8 - 43

Location  Strategies

Prof.Vivek Veeraiah, MG 6303 Operations Management

Table 8.6

Service/Retail/Professional Location Goods-Producing Location Techniques Techniques

Regression models to determine importance of various factors

Factor-rating method Traffic counts Demographic analysis of drawing area Purchasing power analysis of area Center-of-gravity method Geographic information systems

Transportation method Factor-rating method Locational break-even analysis Crossover charts

8 - 44

Location  Strategies

Prof.Vivek Veeraiah, MG 6303 Operations Management

Table 8.6

Service/Retail/Professional Location Goods-Producing Location Assumptions Assumptions

Location is a major determinant of revenue

High customer-contact issues are critical

Costs are relatively constant for a given area; therefore, the revenue function is critical

Location is a major determinant of cost

Most major costs can be identified explicitly for each site

Low customer contact allows focus on the identifiable costs

Intangible costs can be evaluated

8 - 45

How  Hotel  Chains  Select  Sites

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Location is a strategically important decision in the hospitality industry

u  La Quinta started with 35 independent variables and worked to refine a regression model to predict profitability

u  The final model had only four variables u  Price of the inn u  Median income levels u  State population per inn u  Location of nearby colleges

r2 = .51 51% of the

profitability is predicted by

just these four variables!

8 - 46

The  Call  Center  Industry

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Requires neither face-to-face contact nor movement of materials

u  Has very broad location options u  Traditional variables are no longer

relevant u  Cost and availability of labor may

drive location decisions

8 - 47

Geographic  Information   Systems  (GIS)

Prof.Vivek Veeraiah, MG 6303 Operations Management

u  Important tool to help in location analysis u  Enables more complex demographic

analysis u  Available data bases include

u  Detailed census data u  Detailed maps u  Utilities u  Geographic features u  Locations of major services

8 - 48

Geographic  Information   Systems  (GIS)

Prof.Vivek Veeraiah, MG 6303 Operations Management

9/19/12

9

8 - 49 Prof.Vivek Veeraiah, MG 6303 Operations Management

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying,

recording, or otherwise, without the prior written permission of the publisher. Printed in the United States of America.

Chapter 9 Layout Strategies课件.pdf

9/19/12

1

9 - 1 © 2011 Pearson Education, Inc. publishing as Prentice Hall

9 Layout Strategies

PowerPoint presentation to accompany Heizer and Render Operations Management, 10e Principles of Operations Management, 8e PowerPoint slides by Jeff Heyl

9 - 2 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Outline

u  Global Company Profile: McDonald’s

u  The Strategic Importance of Layout Decisions

u  Types of Layout u  Office Layout

9 - 3 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Outline – Continued

u  Retail Layout u  Servicescapes

u  Warehousing and Storage Layouts u  Cross-Docking u  Random Docking u  Customizing

u  Fixed-Position Layout

9 - 4 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Outline – Continued

u  Process-Oriented Layout u  Computer Software for Process-

Oriented Layouts u  Work Cells

u  Requirements of Work Cells u  Staffing and Balancing Work Cells u  The Focused Work Center and the

Focused Factory

9 - 5 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Outline – Continued

u  Repetitive and Product-Oriented Layout u  Assembly-Line Balancing

9 - 6 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Learning Objectives When you complete this chapter, you should be able to:

1.  Discuss important issues in office layout 2.  Define the objectives of retail layout 3.  Discuss modern warehouse management

and terms such as ASRS, cross-docking, and random stocking

4.  Identify when fixed-position layouts are appropriate

9/19/12

2

9 - 7 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Learning Objectives When you complete this chapter, you should be able to: 5.  Explain how to achieve a good process-

oriented facility layout 6.  Define work cell and the requirements of

a work cell 7.  Define product-oriented layout 8.  Explain how to balance production flow

in a repetitive or product-oriented facility

9 - 8 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Innovations at McDonald’s u  Indoor seating (1950s) u  Drive-through window (1970s) u  Adding breakfast to the menu

(1980s) u  Adding play areas (late 1980s) u  Redesign of the kitchens (1990s) u  Self-service kiosk (2004) u  Now three separate dining sections

9 - 9 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Innovations at McDonald’s u  Indoor seating (1950s) u  Drive-through window (1970s) u  Adding breakfast to the menu

(1980s) u  Adding play areas (late 1980s) u  Redesign of the kitchens (1990s) u  Self-service kiosk (2004) u  Now three separate dining sections

Six out of the seven are

layout decisions!

9 - 10 © 2011 Pearson Education, Inc. publishing as Prentice Hall

McDonald’s New Layout u  Seventh major innovation u  Redesigning all 30,000 outlets around

the world u  Three separate dining areas

u  Linger zone with comfortable chairs and Wi-Fi connections

u  Grab and go zone with tall counters u  Flexible zone for kids and families

u  Facility layout is a source of competitive advantage

9 - 11 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Strategic Importance of Layout Decisions

The objective of layout strategy is to develop an effective and

efficient layout that will meet the firm’s competitive requirements

9 - 12 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Layout Design Considerations

u  Higher utilization of space, equipment, and people

u  Improved flow of information, materials, or people

u  Improved employee morale and safer working conditions

u  Improved customer/client interaction u  Flexibility

9/19/12

3

9 - 13 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Types of Layout

1.  Office layout 2.  Retail layout 3.  Warehouse layout 4.  Fixed-position layout 5.  Process-oriented layout 6.  Work-cell layout 7.  Product-oriented layout

9 - 14 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Types of Layout 1.  Office layout: Positions workers,

their equipment, and spaces/offices to provide for movement of information

2.  Retail layout: Allocates shelf space and responds to customer behavior

3.  Warehouse layout: Addresses trade- offs between space and material handling

9 - 15 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Types of Layout

4.  Fixed-position layout: Addresses the layout requirements of large, bulky projects such as ships and buildings

5.  Process-oriented layout: Deals with low-volume, high-variety production (also called job shop or intermittent production)

9 - 16 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Types of Layout

6.  Work cell layout: Arranges machinery and equipment to focus on production of a single product or group of related products

7.  Product-oriented layout: Seeks the best personnel and machine utilizations in repetitive or continuous production

9 - 17 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Layout Strategies Objectives Examples

Office Locate workers requiring frequent contact close to one another

Allstate Insurance Microsoft Corp.

Retail Expose customer to high- margin items

Kroger’s Supermarket Walgreen’s Bloomingdale’s

Warehouse (storage)

Balance low cost storage with low-cost material handling

Federal-Mogul’s warehouse The Gap’s distribution center

Project (fixed position)

Move material to the limited storage areas around the site

Ingall Ship Building Corp. Trump Plaza Pittsburgh Airport

Table 9.1

9 - 18 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Layout Strategies Objectives Examples

Job Shop (process oriented)

Manage varied material flow for each product

Arnold Palmer Hospital Hard Rock Cafe Olive Garden

Work Cell (product families)

Identify a product family, build teams, cross train team members

Hallmark Cards Wheeled Coach Standard Aero

Repetitive/ Continuous (product oriented)

Equalize the task time at each workstation

Sony’s TV assembly line Toyota Scion

Table 9.1

9/19/12

4

9 - 19 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Good Layouts Consider

u  Material handling equipment u  Capacity and space requirements u  Environment and aesthetics u  Flows of information u  Cost of moving between various

work areas

9 - 20 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Office Layout u  Grouping of workers, their equipment, and

spaces to provide comfort, safety, and movement of information

u  Movement of information is main distinction

u  Typically in state of flux due to frequent technological changes

9 - 21 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Relationship Chart

Figure 9.1

9 - 22 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Supermarket Retail Layout

u  Objective is to maximize profitability per square foot of floor space

u  Sales and profitability vary directly with customer exposure

9 - 23 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Five Helpful Ideas for Supermarket Layout

1.  Locate high-draw items around the periphery of the store

2.  Use prominent locations for high-impulse and high-margin items

3.  Distribute power items to both sides of an aisle and disperse them to increase viewing of other items

4.  Use end-aisle locations 5.  Convey mission of store through careful

positioning of lead-off department 9 - 24 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Store Layout

Figure 9.2

9/19/12

5

9 - 25 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Retail Slotting u  Manufacturers pay fees to retailers

to get the retailers to display (slot) their product

u  Contributing factors u  Limited shelf space u  An increasing number of new

products u  Better information about sales

through POS data collection u  Closer control of inventory

9 - 26 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Retail Store Shelf Space Planogram

u  Computerized tool for shelf- space management

u  Generated from store’s scanner data on sales

u  Often supplied by manufacturer

5 facings

S ham

poo

S ham

poo

S ham

poo

S ham

poo

S ham

poo

C onditioner

C onditioner

S ham

poo

S ham

poo

S ham

poo

S ham

poo

C onditioner

2 ft.

9 - 27 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Servicescapes 1.  Ambient conditions - background

characteristics such as lighting, sound, smell, and temperature

2.  Spatial layout and functionality - which involve customer circulation path planning, aisle characteristics, and product grouping

3.  Signs, symbols, and artifacts - characteristics of building design that carry social significance

9 - 28 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Warehousing and Storage Layouts

u  Objective is to optimize trade-offs between handling costs and costs associated with warehouse space

u  Maximize the total “cube” of the warehouse – utilize its full volume while maintaining low material handling costs

u  Minimize damage and spoilage

9 - 29 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Warehousing and Storage Layouts

u  All costs associated with the transaction u  Incoming transport u  Storage u  Finding and moving material u  Outgoing transport u  Equipment, people, material, supervision,

insurance, depreciation

Material Handling Costs

9 - 30 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Warehousing and Storage Layouts

u  Warehouse density tends to vary inversely with the number of different items stored

u  Automated Storage and Retrieval Systems (ASRSs) can significantly improve warehouse productivity by an estimated 500%

u  Dock location is a key design element

9/19/12

6

9 - 31 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Cross-Docking u  Materials are moved directly from

receiving to shipping and are not placed in storage in the warehouse

u  Requires tight scheduling and accurate shipments, bar code or RFID identification used for advanced shipment notification as materials are unloaded

9 - 32 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Random Stocking u  Typically requires automatic identification

systems (AISs) and effective information systems

u  Random assignment of stocking locations allows more efficient use of space

u  Key tasks 1.  Maintain list of open locations 2.  Maintain accurate records 3.  Sequence items to minimize travel, pick time 4.  Combine picking orders 5.  Assign classes of items to particular areas

9 - 33 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Customizing u  Value-added activities performed at

the warehouse u  Enable low cost and rapid response

strategies u  Assembly of components u  Loading software u  Repairs u  Customized labeling and packaging

9 - 34 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Shipping and receiving docks

Office

C us

to m

iz at

io n

Conveyor

Storage racks

Staging

Warehouse Layout Traditional Layout

9 - 35 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Warehouse Layout Cross-Docking Layout

Shipping and receiving docks

O ff

ic e

Shipping and receiving docks

9 - 36 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Fixed-Position Layout u  Product remains in one place u  Workers and equipment come to site u  Complicating factors

u  Limited space at site u  Different materials

required at different stages of the project

u  Volume of materials needed is dynamic

9/19/12

7

9 - 37 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Alternative Strategy u  As much of the project as possible

is completed off-site in a product- oriented facility

u  This can significantly improve efficiency but is only possible when multiple similar units need to be created

9 - 38 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process-Oriented Layout

u  Like machines and equipment are grouped together

u  Flexible and capable of handling a wide variety of products or services

u  Scheduling can be difficult and setup, material handling, and labor costs can be high

9 - 39 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Surgery

Radiology

ER triage room

ER Beds Pharmacy

Emergency room admissions

Billing/exit

Laboratories

Process-Oriented Layout

Patient A - broken leg

Patient B - erratic heart pacemaker

Figure 9.3

9 - 40 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process-Oriented Layout

u  Like machines and equipment are grouped together

u  Flexible and capable of handling a wide variety of products or services

u  Scheduling can be difficult and setup, material handling, and labor costs can be high

9 - 41 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Layout at Arnold Palmer Hospital

Central break and medical supply rooms

Local linen supply

Local nursing pod

Pie-shaped rooms

Central nurses station

9 - 42 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process-Oriented Layout

u  Arrange work centers so as to minimize the costs of material handling

u  Basic cost elements are u  Number of loads (or people)

moving between centers u  Distance loads (or people) move

between centers

9/19/12

8

9 - 43 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process-Oriented Layout

Minimize cost = ∑ ∑ Xij Cij n

i = 1

n

j = 1

where n = total number of work centers or departments

i, j = individual departments Xij = number of loads moved from

department i to department j Cij = cost to move a load between

department i and department j

9 - 44 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process Layout Example

1.  Construct a “from-to matrix” 2.  Determine the space requirements 3.  Develop an initial schematic diagram 4.  Determine the cost of this layout 5.  Try to improve the layout 6.  Prepare a detailed plan

Arrange six departments in a factory to minimize the material handling costs. Each department is 20 x 20 feet and the building is 60 feet long and 40 feet wide.

9 - 45 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Department Assembly Painting Machine Receiving Shipping Testing (1) (2) Shop (3) (4) (5) (6)

Assembly (1)

Painting (2)

Machine Shop (3)

Receiving (4)

Shipping (5)

Testing (6)

Number of loads per week

50 100 0 0 20

30 50 10 0

20 0 100

50 0

0

Process Layout Example

Figure 9.4

9 - 46 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Area 1 Area 2 Area 3

Area 4 Area 5 Area 6 60’

40’

Process Layout Example

Receiving Shipping Testing

Department Department Department (4) (5) (6)

Figure 9.5

Assembly Painting Machine Shop Department Department Department

(1) (2) (3)

9 - 47 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process Layout Example Interdepartmental Flow Graph

Figure 9.6

100

50

20

50

50

20 10

100

30 Machine Shop (3)

Testing (6)

Shipping (5)

Receiving (4)

Assembly (1)

Painting (2)

9 - 48 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process Layout Example

Cost = $50 + $200 + $40 (1 and 2) (1 and 3) (1 and 6)

+ $30 + $50 + $10 (2 and 3) (2 and 4) (2 and 5)

+ $40 + $100 + $50 (3 and 4) (3 and 6) (4 and 5)

= $570

Cost = ∑ ∑ Xij Cij n

i = 1

n

j = 1

9/19/12

9

9 - 49 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process Layout Example Revised Interdepartmental Flow Graph

Figure 9.7

30

50

20

50

10 20 50 100

100 Machine Shop (3)

Testing (6)

Shipping (5)

Receiving (4)

Painting (2)

Assembly (1)

9 - 50 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Process Layout Example

Cost = $50 + $100 + $20 (1 and 2) (1 and 3) (1 and 6)

+ $60 + $50 + $10 (2 and 3) (2 and 4) (2 and 5)

+ $40 + $100 + $50 (3 and 4) (3 and 6) (4 and 5)

= $480

Cost = ∑ ∑ Xij Cij n

i = 1

n

j = 1

9 - 51 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Area 1 Area 2 Area 3

Area 4 Area 5 Area 6 60’

40’

Process Layout Example

Receiving Shipping Testing

Department Department Department (4) (5) (6)

Figure 9.8

Painting Assembly Machine Shop Department Department Department

(2) (1) (3)

9 - 52 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Computer Software u  Graphical approach only works for

small problems u  Computer programs are available to

solve bigger problems u  CRAFT u  ALDEP u  CORELAP u  Factory Flow

9 - 53 © 2011 Pearson Education, Inc. publishing as Prentice Hall

CRAFT Example

Figure 9.9

TOTAL COST 20,100 EST. COST REDUCTION .00 ITERATION 0

(a)

A A A A B B

A A A A B B

D D D D D D

C C D D D D

F F F F F D

E E E E E D

TOTAL COST 14,390 EST. COST REDUCTION 70 ITERATION 3

(b)

D D D D B B

D D D D B B

D D D E E E

C C D E E F

A A A A A F

A A A F F F

9 - 54 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Computer Software u  Three dimensional visualization

software allows managers to view possible layouts and assess process, material handling, efficiency, and safety issues

9/19/12

10

9 - 55 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Work Cells u  Reorganizes people and machines

into groups to focus on single products or product groups

u  Group technology identifies products that have similar characteristics for particular cells

u  Volume must justify cells u  Cells can be reconfigured as

designs or volume changes 9 - 56 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Advantages of Work Cells 1.  Reduced work-in-process inventory 2.  Less floor space required 3.  Reduced raw material and finished

goods inventory 4.  Reduced direct labor 5.  Heightened sense of employee

participation 6.  Increased use of equipment and

machinery 7.  Reduced investment in machinery and

equipment

9 - 57 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Requirements of Work Cells

1.  Identification of families of products 2.  A high level of training, flexibility

and empowerment of employees 3.  Being self-contained, with its own

equipment and resources 4.  Test (poka-yoke) at each station in

the cell

9 - 58 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Improving Layouts Using Work Cells

Current layout - workers in small closed areas.

Improved layout - cross-trained workers can assist each other. May be able to add a third worker as additional output is needed.

Figure 9.10 (a)

9 - 59 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Improving Layouts Using Work Cells

Current layout - straight lines make it hard to balance tasks because work may not be divided evenly

Improved layout - in U shape, workers have better access. Four cross-trained workers were reduced.

Figure 9.10 (b)

U-shaped line may reduce employee movement and space requirements while enhancing communication, reducing the number of workers, and facilitating inspection

9 - 60 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Staffing and Balancing Work Cells

Determine the takt time

Takt time = Total work time available

Units required

Determine the number of operators required

Workers required = Total operation time required

Takt time

9/19/12

11

9 - 61 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Staffing Work Cells Example 600 Mirrors per day required Mirror production scheduled for 8 hours per day From a work balance

chart total operation time = 140 seconds

S ta

nd ar

d tim

e re

qu ir

ed

Operations Assemble Paint Test Label Pack for

shipment

60

50

40

30

20

10

0

9 - 62 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Staffing Work Cells Example 600 Mirrors per day required Mirror production scheduled for 8 hours per day From a work balance

chart total operation time = 140 seconds

Takt time = (8 hrs x 60 mins) / 600 units = .8 mins = 48 seconds

Workers required = Total operation time required

Takt time = 140 / 48 = 2.91

9 - 63 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Work Balance Charts u  Used for evaluating operation

times in work cells u  Can help identify bottleneck

operations u  Flexible, cross-trained employees

can help address labor bottlenecks

u  Machine bottlenecks may require other approaches

9 - 64 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Focused Work Center and Focused Factory

u  Focused Work Center u  Identify a large family of similar products

that have a large and stable demand u  Moves production from a general-purpose,

process-oriented facility to a large work cell u  Focused Factory

u  A focused work cell in a separate facility u  May be focused by product line, layout,

quality, new product introduction, flexibility, or other requirements

9 - 65 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Focused Work Center and Focused Factory

Table 9.2

Work Cell Focused Work Center Focused Factory

Description: Work cell is a temporary product- oriented arrangement of machines and personnel in what is ordinarily a process- oriented facility

A focused work center is a permanent product- oriented arrangement of machines and personnel in what is ordinarily a process- oriented facility

A focused factory is a permanent facility to produce a product or component in a product-oriented facility. Many focused factories currently being built were originally part of a process-oriented facility

Example: A job shop with machinery and personnel rearranged to produce 300 unique control panels

Example: Pipe bracket manufacturing at a shipyard

Example: A plant to produce window mechanism for automobiles

9 - 66 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Repetitive and Product- Oriented Layout

1.  Volume is adequate for high equipment utilization

2.  Product demand is stable enough to justify high investment in specialized equipment

3.  Product is standardized or approaching a phase of life cycle that justifies investment

4.  Supplies of raw materials and components are adequate and of uniform quality

Organized around products or families of similar high-volume, low-variety products

9/19/12

12

9 - 67 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Product-Oriented Layouts u  Fabrication line

u  Builds components on a series of machines u  Machine-paced u  Require mechanical or engineering changes

to balance u  Assembly line

u  Puts fabricated parts together at a series of workstations

u  Paced by work tasks u  Balanced by moving tasks

Both types of lines must be balanced so that the time to perform the work at each station is the same

9 - 68 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Product-Oriented Layouts

1.  Low variable cost per unit 2.  Low material handling costs 3.  Reduced work-in-process inventories 4.  Easier training and supervision 5.  Rapid throughput

Advantages

1.  High volume is required 2.  Work stoppage at any point ties up the

whole operation 3.  Lack of flexibility in product or production

rates

Disadvantages

9 - 69 © 2011 Pearson Education, Inc. publishing as Prentice Hall

McDonald’s Assembly Line

Figure 9.12

9 - 70 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Disassembly Lines u  Disassembly is being considered in new

product designs u  “Green” issues and recycling standards are

important consideration u  Automotive

disassembly is the 16th largest industry in the US

9 - 71 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Assembly-Line Balancing u  Objective is to minimize the imbalance

between machines or personnel while meeting required output

u  Starts with the precedence relationships u  Determine cycle time u  Calculate theoretical

minimum number of workstations

u  Balance the line by assigning specific tasks to workstations

9 - 72 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Wing Component Example

This means that tasks B and E cannot be done until task A has been completed

Performance Task Must Follow Time Task Listed

Task (minutes) Below A 10 — B 11 A C 5 B D 4 B E 12 A F 3 C, D G 7 F H 11 E I 3 G, H Total time 66

9/19/12

13

9 - 73 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Wing Component Example Performance Task Must Follow Time Task Listed

Task (minutes) Below A 10 — B 11 A C 5 B D 4 B E 12 A F 3 C, D G 7 F H 11 E I 3 G, H Total time 66 I

G F

C

D

H

B

E

A 10

11 12

5

4 3

7 11 3

Figure 9.13 9 - 74 © 2011 Pearson Education, Inc. publishing as Prentice Hall

I

G F

C

D

H

B

E

A 10

11 12

5

4 3

7 11 3

Figure 9.13

Performance Task Must Follow Time Task Listed

Task (minutes) Below A 10 — B 11 A C 5 B D 4 B E 12 A F 3 C, D G 7 F H 11 E I 3 G, H Total time 66

Wing Component Example 480 available

mins per day 40 units required

Cycle time = Production time available per day

Units required per day = 480 / 40 = 12 minutes per unit

Minimum number of

workstations = ∑ Time for task i

Cycle time

n

i = 1

= 66 / 12 = 5.5 or 6 stations

9 - 75 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Wing Component Example

I

G F

C

D

H

B

E

A 10

11 12

5

4 3

7 11 3

Figure 9.13

Performance Task Must Follow Time Task Listed

Task (minutes) Below A 10 — B 11 A C 5 B D 4 B E 12 A F 3 C, D G 7 F H 11 E I 3 G, H Total time 66

480 available mins per day

40 units required Cycle time = 12 mins

Minimum workstations = 5.5 or 6

Line-Balancing Heuristics

1. Longest task time Choose the available task with the longest task time

2. Most following tasks Choose the available task with the largest number of following tasks

3. Ranked positional weight

Choose the available task for which the sum of following task times is the longest

4. Shortest task time Choose the available task with the shortest task time

5. Least number of following tasks

Choose the available task with the least number of following tasks

Table 9.4

9 - 76 © 2011 Pearson Education, Inc. publishing as Prentice Hall

480 available mins per day

40 units required Cycle time = 12 mins

Minimum workstations = 5.5 or 6

Performance Task Must Follow Time Task Listed

Task (minutes) Below A 10 — B 11 A C 5 B D 4 B E 12 A F 3 C, D G 7 F H 11 E I 3 G, H Total time 66 Station

1

Wing Component Example

Station 2

Station 3 Station 3

Station 4

Station 5

Station 6 Station 6

I

G F

H

C

D

B

E

A 10 11

12

5

4

3 7

11

3

Figure 9.14

9 - 77 © 2011 Pearson Education, Inc. publishing as Prentice Hall

Performance Task Must Follow Time Task Listed

Task (minutes) Below A 10 — B 11 A C 5 B D 4 B E 12 A F 3 C, D G 7 F H 11 E I 3 G, H Total time 66

Wing Component Example 480 available

mins per day 40 units required

Cycle time = 12 mins Minimum

workstations = 5.5 or 6

Efficiency = ∑ Task times

(Actual number of workstations) x (Largest cycle time)

= 66 minutes / (6 stations) x (12 minutes) = 91.7%

9 - 78 © 2011 Pearson Education, Inc. publishing as Prentice Hall

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying,

recording, or otherwise, without the prior written permission of the publisher. Printed in the United States of America.

chapter 1_operations and productivity .pdf

8/17/12

1

1 - 1

1 PowerPoint presentation to accompany Heizer and Render Operations Management, 10e Principles of Operations Management, 8e PowerPoint slides by Jeff Heyl

MG 6303 Prof. Vivek Veeraiah

Operations and Productivity

1 - 2

Outline •  Global Company Profile: Hard Rock Cafe

MG 6303 Prof. Vivek Veeraiah

u  What Is Operations Management? u  Organizing to Produce Goods and

Services u  Why Study OM? u  What Operations Managers Do

1 - 3

Outline - Continued

MG 6303 Prof. Vivek Veeraiah

u  The Heritage of Operations Management

u  Operations in the Service Sector u Differences between Goods and

Services u Growth of Services u Service Pay

u  Exciting New Trends in Operations Management

1 - 4

Outline - Continued •  The Productivity Challenge

o  Productivity Measurement o  Productivity Variables o  Productivity and the Service Sector

•  Ethics and Social Responsibility

MG 6303 Prof. Vivek Veeraiah

1 - 5

Learning Objectives

MG 6303 Prof. Vivek Veeraiah

When you complete this chapter you should be able to:

1.  Define operations management 2.  Explain the distinction between

goods and services 3.  Explain the difference between

production and productivity

1 - 6

Learning Objectives

MG 6303 Prof. Vivek Veeraiah

When you complete this chapter you should be able to:

4.  Compute single-factor productivity

5.  Compute multifactor productivity 6.  Identify the critical variables in

enhancing productivity

8/17/12

2

1 - 7

The Hard Rock Cafe

MG 6303 Prof. Vivek Veeraiah

u First opened in 1971 u  Now – 129 restaurants in over 40 countries

u Rock music memorabilia u Creates value in the form of good food

and entertainment u 3,500+ custom meals per day in Orlando u How does an item get on the menu? u Role of the Operations Manager

1 - 8

What Is Operations

Management? Production is the creation of goods and

services

MG 6303 Prof. Vivek Veeraiah

Operations management (OM) is the set of activities that create value in the form of goods and

services by transforming inputs into outputs

1 - 9

Organizing to Produce Goods and Services

•  Essential functions: 1.  Marketing – generates demand 2.  Production/operations – creates the product 3.  Finance/accounting – tracks how well the organization is doing,

pays bills, collects the money

MG 6303 Prof. Vivek Veeraiah 1 - 10

Organizational Charts

MG 6303 Prof. Vivek Veeraiah

Operations Teller Scheduling Check Clearing Collection Transaction processing Facilities design/ layout Vault operations Maintenance Security

Finance Investments Security Real estate

Accounting

Auditing

Marketing Loans Commercial Industrial Financial Personal Mortgage

Trust Department

Commercial Bank

Figure 1.1(A)

1 - 11

Organizational Charts

MG 6303 Prof. Vivek Veeraiah

Operations Ground support equipment Maintenance Ground Operations Facility maintenance Catering Flight Operations Crew scheduling Flying Communications Dispatching Management science

Finance/ accounting Accounting Payables Receivables General Ledger Finance Cash control International exchange

Airline

Figure 1.1(B)

Marketing Traffic administration Reservations Schedules Tariffs (pricing) Sales Advertising

1 - 12

Marketing Sales promotion Advertising Sales Market research

Organizational Charts

MG 6303 Prof. Vivek Veeraiah

Operations Facilities Construction; maintenance Production and inventory control Scheduling; materials control Quality assurance and control Supply-chain management Manufacturing Tooling; fabrication; assembly Design Product development and design Detailed product specifications Industrial engineering Efficient use of machines, space, and personnel Process analysis Development and installation of production tools and equipment

Finance/ accounting Disbursements/ credits Receivables Payables General ledger Funds Management Money market International exchange Capital requirements Stock issue Bond issue and recall

Manufacturing

Figure 1.1(C)

8/17/12

3

1 - 13

Why Study OM? 1.  OM is one of three major functions of any

organization, we want to study how people organize themselves for productive enterprise

MG 6303 Prof. Vivek Veeraiah

2.  We want (and need) to know how goods and services are produced

3.  We want to understand what operations managers do

4.  OM is such a costly part of an organization

1 - 14

Options for Increasing Contribution

MG 6303 Prof. Vivek Veeraiah

Table 1.1

Sales $100,000 $150,000 $100,000 $100,000 Cost of Goods – 80,000 – 120,000 – 80,000 – 64,000 Gross Margin 20,000 30,000 20,000 36,000 Finance Costs – 6,000 – 6,000 – 3,000 – 6,000 Subtotal 14,000 24,000 17,000 30,000 Taxes at 25% – 3,500 – 6,000 – 4,250 – 7,500 Contribution $ 10,500 $ 18,000 $ 12,750 $ 22,500

Finance/ Marketing Accounting OM Option Option Option

Increase Reduce Reduce Sales Finance Production

Current Revenue 50% Costs 50% Costs 20%

1 - 15

What Operations

Managers Do u  Planning u  Organizing u  Staffing u  Leading u  Controlling

MG 6303 Prof. Vivek Veeraiah

Basic Management Functions

1 - 16

Ten  Critical  Decisions

MG 6303 Prof. Vivek Veeraiah

Ten Decision Areas Chapter(s) 1.  Design of goods and services 5 2.  Managing quality 6, Supplement 6 3.  Process and capacity 7, Supplement 7

design 4.  Location strategy 8 5.  Layout strategy 9 6.  Human resources and 10

job design 7.  Supply-chain 11, Supplement 11

management 8.  Inventory, MRP, JIT 12, 14, 16 9.  Scheduling 13, 15 10.  Maintenance 17 Table 1.2

1 - 17

The Critical Decisions 1.  Design of goods and services

o  What good or service should we offer? o  How should we design these products and services?

2.  Managing quality o  How do we define quality? o  Who is responsible for quality?

MG 6303 Prof. Vivek Veeraiah Table 1.2 (cont.)

1 - 18

The Critical Decisions 3.  Process and capacity design

o  What process and what capacity will these products require? o  What equipment and technology is necessary for these processes?

4.  Location strategy o  Where should we put the facility? o  On what criteria should we base the location decision?

MG 6303 Prof. Vivek Veeraiah Table 1.2 (cont.)

8/17/12

4

1 - 19

The Critical Decisions 5.  Layout strategy

o  How should we arrange the facility? o  How large must the facility be to meet our plan?

6.  Human resources and job design o  How do we provide a reasonable work environment? o  How much can we expect our employees to produce?

MG 6303 Prof. Vivek Veeraiah Table 1.2 (cont.)

1 - 20

The Critical Decisions 7.  Supply-chain management

o  Should we make or buy this component? o  Who should be our suppliers and how can we integrate them into our

strategy?

8.  Inventory, material requirements planning, and JIT o  How much inventory of each item should we have? o  When do we re-order?

MG 6303 Prof. Vivek Veeraiah Table 1.2 (cont.)

1 - 21

The Critical Decisions 9.  Intermediate and short–term scheduling

o  Are we better off keeping people on the payroll during slowdowns? o  Which jobs do we perform next?

10.  Maintenance o  How do we build reliability into our processes? o  Who is responsible for maintenance?

MG 6303 Prof. Vivek Veeraiah Table 1.2 (cont.)

1 - 22

Where are the OM Jobs?

•  Technology/methods •  Facilities/space utilization •  Strategic issues •  Response time •  People/team development •  Customer service •  Quality •  Cost reduction •  Inventory reduction •  Productivity improvement

MG 6303 Prof. Vivek Veeraiah

1 - 23

Opportuniti es

MG 6303 Prof. Vivek Veeraiah

Figure 1.2

1 - 24

New Challenges in OM

MG 6303 Prof. Vivek Veeraiah

u Global focus u Just-in-time u Supply-chain

partnering u Rapid product

development, alliances

u Mass customization

u Empowered employees, teams

To From u Local or national focus u Batch shipments u Low bid purchasing

u Lengthy product

development

u Standard products

u Job specialization

8/17/12

5

1 - 25

Characteristics of Goods

MG 6303 Prof. Vivek Veeraiah

u Tangible product u Consistent product

definition u Production usually

separate from consumption

u Can be inventoried u Low customer

interaction

1 - 26

Characteristics of Service

MG 6303 Prof. Vivek Veeraiah

u Intangible product u Produced and

consumed at same time u Often unique u High customer

interaction u Inconsistent product

definition u Often knowledge-based u Frequently dispersed

1 - 27

Industry and Services as Percentage of GDP

MG 6303 Prof. Vivek Veeraiah

Services Manufacturing

A us

tr al

ia

C an

ad a

C hi

na

C ze

ch R

ep

Fr an

ce

G er

m an

y

H on

g K

on g

Ja pa

n

M ex

ic o

R us

si an

F ed

S ou

th A

fr ic

a

S pa

in

U K

U S

90 − 80 − 70 − 60 − 50 − 40 − 30 − 20 − 10 −

0 −

1 - 28

Goods  and  Services

MG 6303 Prof. Vivek Veeraiah

Automobile Computer

Installed carpeting Fast-food meal

Restaurant meal/auto repair Hospital care

Advertising agency/ investment management

Consulting service/ teaching Counseling

Percent of Product that is a Good Percent of Product that is a Service

100% 75 50 25 0 25 50 75 100% | | | | | | | | |

1 - 29

120 –

100 –

80 –

60 –

40 –

20 –

0 – | | | | | | | 1950 1970 1990 2010 (est)

1960 1980 2000

E m

pl oy

m en

t ( m

ill io

ns )

Manufacturing  and   Service  Employment

MG 6303 Prof. Vivek Veeraiah Figure 1.4 (A)

Manufacturing

Service

1 - 30

Manufacturing   Employment  and  

Production

MG 6303 Prof. Vivek Veeraiah Figure 1.4 (B)

40 – 30 – 20 – 10 –

0 – | | | | | | | 1950 1970 1990 2010 (est)

1960 1980 2000

– 150

– 125

– 100

– 75

– 50

– 25

– 0

E m

pl oy

m en

t ( m

ill io

ns )

In de

x: 1

99 7

= 10

0

Manufacturing employment

(left scale)

Industrial production

(right scale)

8/17/12

6

1 - 31

Development  of  the     Service  Economy

MG 6303 Prof. Vivek Veeraiah Figure 1.4 (C)

United States Canada France

Italy Britain Japan

W. Germany

1970 2010 (est)

| | | | |

40 50 60 70 80 Percent

1 - 32

Organizations in Each Sector

Service Sector Example % of all

Jobs

Education, Legal, Medical, other

San Diego Zoo, Arnold Palmer Hospital

25.8

Trade (retail, wholesale)

Walgreen’s, Wal-Mart, Nordstrom’s

14.9

Utilities, Transportation

Pacific Gas & Electric, American Airlines

5.2

Professional and Business Services

Snelling and Snelling, Waste Management, Inc.

10.7

MG 6303 Prof. Vivek Veeraiah Table 1.3

1 - 33

Organizations in Each Sector

Service Sector Example % of all

Jobs

Finance, Information, Real Estate

Citicorp, American Express, Prudential, Aetna

9.6

Food, Lodging, Entertainment

Olive Garden, Motel 6, Walt Disney

8.5

Public Administration

U.S., State of Alabama, Cook County

4.6

Total 78.8

MG 6303 Prof. Vivek Veeraiah Table 1.3

1 - 34

Organizations in Each Sector

Other Sectors Example % of all

Jobs

Manufacturing Sector

General Electric, Ford, U.S. Steel, Intel

11.2

Construction Sector

Bechtel, McDermott 8.1

Agriculture Sector

King Ranch 1.4

Mining Sector Homestake Mining 0.5

Total 21.2

MG 6303 Prof. Vivek Veeraiah Table 1.3

1 - 35

Changing Challenges

MG 6303 Prof. Vivek Veeraiah

Traditional Approach

Reasons for Change

Current Challenge

Ethics and regulations not at the forefront

Public concern over pollution, corruption, child labor, etc.

High ethical and social responsibility; increased legal and professional standards

Local or national focus

Growth of reliable, low cost communication and transportation

Global focus, international collaboration

Lengthy product development

Shorter life cycles; growth of global communication; CAD, Internet

Rapid product development; design collaboration

Figure 1.5 1 - 36

Changing Challenges

MG 6303 Prof. Vivek Veeraiah

Traditional Approach

Reasons for Change

Current Challenge

Low cost production, with little concern for environment; free resources (air, water) ignored

Public sensitivity to environment; ISO 14000 standard; increasing disposal costs

Environmentally sensitive production; green manufacturing; sustainability

Low-cost standardized products

Rise of consumerism; increased affluence; individualism

Mass customization

Figure 1.5

8/17/12

7

1 - 37

Changing Challenges

MG 6303 Prof. Vivek Veeraiah

Traditional Approach

Reasons for Change

Current Challenge

Emphasis on specialized, often manual tasks

Recognition of the employee's total contribution; knowledge society

Empowered employees; enriched jobs

“In-house” production; low-bid purchasing

Rapid technological change; increasing competitive forces

Supply-chain partnering; joint ventures, alliances

Large lot production

Shorter product life cycles; increasing need to reduce inventory

Just-In-Time performance; lean; continuous improvement

Figure 1.5 1 - 38

New Trends in OM •  Ethics •  Global focus •  Environmentally sensitive production •  Rapid product development •  Environmentally sensitive production •  Mass customization •  Empowered employees •  Supply-chain partnering •  Just-in-time performance

MG 6303 Prof. Vivek Veeraiah

1 - 39

Productivity Challenge

MG 6303 Prof. Vivek Veeraiah

Productivity is the ratio of outputs (goods and services) divided by the inputs

(resources such as labor and capital)

The objective is to improve productivity!

Important Note! Production is a measure of output

only and not a measure of efficiency

1 - 40

Feedback loop

Outputs

Goods and

services

Transformation

The U.S. economic system transforms inputs to outputs

at about an annual 2.5% increase in productivity per

year. The productivity increase is the result of a

mix of capital (38% of 2.5%), labor (10% of 2.5%), and

management (52% of 2.5%).

The Economic System

MG 6303 Prof. Vivek Veeraiah

Inputs

Labor, capital,

management

Figure 1.6

1 - 41

Improving Productivity at Starbucks

MG 6303 Prof. Vivek Veeraiah

A team of 10 analysts continually look for ways to shave time. Some improvements: Stop requiring signatures on credit card purchases under $25

Saved 8 seconds per transaction

Change the size of the ice scoop

Saved 14 seconds per drink

New espresso machines Saved 12 seconds per shot

1 - 42

Improving Productivity at Starbucks

MG 6303 Prof. Vivek Veeraiah

A team of 10 analysts continually look for ways to shave time. Some improvements: Stop requiring signatures on credit card purchases under $25

Saved 8 seconds per transaction

Change the size of the ice scoop

Saved 14 seconds per drink

New espresso machines Saved 12 seconds per shot

Operations improvements have helped Starbucks increase yearly revenue per outlet by $200,000 to $940,000 in six years. Productivity has improved by 27%, or about 4.5% per year.

8/17/12

8

1 - 43

u  Measure of process improvement u  Represents output relative to input u  Only through productivity increases

can our standard of living improve

Productivity

MG 6303 Prof. Vivek Veeraiah

Productivity = Units produced

Input used

1 - 44

Productivity Calculations

MG 6303 Prof. Vivek Veeraiah

Productivity = Units produced

Labor-hours used

= = 4 units/labor-hour 1,000 250

Labor Productivity

One resource input ð single-factor productivity

1 - 45

Multi-Factor Productivity

MG 6303 Prof. Vivek Veeraiah

Output Labor + Material + Energy + Capital + Miscellaneous

Productivity =

u Also known as total factor productivity u Output and inputs are often expressed

in dollars

Multiple resource inputs ð multi-factor productivity

1 - 46

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

= Old labor productivity 8 titles/day 32 labor-hrs

1 - 47

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

8 titles/day 32 labor-hrs

= Old labor productivity = .25 titles/labor-hr

1 - 48

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

14 titles/day Overhead = $800/day New System:

8 titles/day 32 labor-hrs

= Old labor productivity

= New labor productivity

= .25 titles/labor-hr

14 titles/day 32 labor-hrs

8/17/12

9

1 - 49

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

14 titles/day Overhead = $800/day New System:

8 titles/day 32 labor-hrs

= Old labor productivity = .25 titles/labor-hr

14 titles/day 32 labor-hrs

= New labor productivity = .4375 titles/labor-hr

1 - 50

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

14 titles/day Overhead = $800/day New System:

= Old multifactor productivity 8 titles/day $640 + 400

1 - 51

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

14 titles/day Overhead = $800/day New System:

8 titles/day $640 + 400

= Old multifactor productivity = .0077 titles/dollar

1 - 52

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

14 titles/day Overhead = $800/day New System:

8 titles/day $640 + 400

= Old multifactor productivity

= New multifactor productivity

= .0077 titles/dollar

14 titles/day $640 + 800

1 - 53

Collins Title Productivity

MG 6303 Prof. Vivek Veeraiah

Staff of 4 works 8 hrs/day 8 titles/day Payroll cost = $640/day Overhead = $400/day

Old System:

14 titles/day Overhead = $800/day New System:

8 titles/day $640 + 400

14 titles/day $640 + 800

= Old multifactor productivity

= New multifactor productivity

= .0077 titles/dollar

= .0097 titles/dollar

1 - 54

Measurement Problems

MG 6303 Prof. Vivek Veeraiah

1.  Quality may change while the quantity of inputs and outputs remains constant

2.  External elements may cause an increase or decrease in productivity u  Precise units of measure may be

lacking

8/17/12

10

1 - 55

Productivity Variables

MG 6303 Prof. Vivek Veeraiah

1.  Labor - contributes about 10% of the annual increase

2.  Capital - contributes about 38% of the annual increase

3.  Management - contributes about 52% of the annual increase

1 - 56

Key Variables for Improved Labor

Productivity

MG 6303 Prof. Vivek Veeraiah

1.  Basic education appropriate for the labor force

2.  Diet of the labor force 3.  Social overhead that makes labor

available u Challenge is in maintaining and

enhancing skills in the midst of rapidly changing technology and knowledge

1 - 57

Labor Skills

MG 6303 Prof. Vivek Veeraiah

About half of the 17-year-olds in the U.S. cannot correctly answer questions of this type

Figure 1.7

1 - 58

Investment  and   Productivity  

MG 6303 Prof. Vivek Veeraiah

10

8

6

4

2

0

P er

ce nt

in cr

ea se

in p

ro du

ct iv

ity

Percentage investment 10 15 20 25 30 35

1 - 59

Service Productivity

MG 6303 Prof. Vivek Veeraiah

1.  Typically labor intensive 2.  Frequently focused on unique individual

attributes or desires 3.  Often an intellectual task performed by

professionals 4.  Often difficult to mechanize 5.  Often difficult to evaluate for quality

1 - 60

Productivity at Taco Bell

MG 6303 Prof. Vivek Veeraiah

Improvements: u  Revised the menu u  Designed meals for easy preparation u  Shifted some preparation to suppliers u  Efficient layout and automation u  Training and employee empowerment u  New water and energy saving grills

8/17/12

11

1 - 61

Productivity at Taco Bell

MG 6303 Prof. Vivek Veeraiah

Improvements: þ Revised the menu þ Designed meals for easy preparation þ Shifted some preparation to suppliers þ Efficient layout and automation þ Training and employee empowerment þ New water and energy saving grills

Results: u  Preparation time cut to 8 seconds u  Management span of control increased

from 5 to 30 u  In-store labor cut by 15 hours/day u  Stores handle twice the volume with half

the labor u  Conserve 300 million gallons of water and

200 million KwH of electricity each year saving $17 million annually

1 - 62

Ethics and Social Responsibility

MG 6303 Prof. Vivek Veeraiah

Challenges facing operations managers:

u Developing and producing safe, quality products

u Maintaining a clean environment u Providing a safe workplace u Honoring stakeholder commitments

Chapter 2_Operations Strategy in a Global Environment.pdf

8/17/12

1

2 - 1

2

PowerPoint  presenta-on  to  accompany     Heizer  and  Render     Opera-ons  Management,  10e     Principles  of  Opera-ons  Management,  8e     PowerPoint  slides  by  Jeff  Heyl  

Operations Strategy in a Global Environment

2 - 2

Outline

u  Global Company Profile: Boeing u  A Global View of Operations

u  Cultural and Ethical Issues u  Developing Missions And

Strategies u  Mission u  Strategy

2 - 3

Outline – Continued

u  Achieving Competitive Advantage Through Operations u  Competing On Differentiation u  Competing On Cost u  Competing On Response

u  Ten Strategic OM Decisions

2 - 4

Outline – Continued

u  Strategy Development and Implementation u  Key Success Factors and Core

Competencies u  Build and Staff the Organization u  Integrate OM with Other Activities

2 - 5

Outline – Continued

u  Global Operations Strategy Options u  International Strategy u  Multidomestic Strategy u  Global Strategy u  Transnational Strategy

2 - 6

Learning Objectives

1.  Define mission and strategy 2.  Identify and explain three strategic

approaches to competitive advantage

3.  Identify and define the 10 decisions of operations management

When you complete this chapter you should be able to:

8/17/12

2

2 - 7

Learning Objectives

4.  Understand the significant key success factors and core competencies

5.  Identify and explain four global operations strategy options

When you complete this chapter you should be able to:

2 - 8

Some Boeing Suppliers (787) Firm Country Component

Latecoere France Passenger doors

Labinel France Wiring

Dassault France Design and PLM software

Messier-Bugatti France Electric brakes

Thales France Electrical power conversion system and integrated standby flight display

Messier-Dowty France Landing gear structure

Diehl Germany Interior lighting

2 - 9

Some Boeing Suppliers (787) Firm Country Component

Cobham UK Fuel pumps and valves

Rolls-Royce UK Engines

Smiths Aerospace UK Central computer system

BAE SYSTEMS UK Electronics

Alenia Aeronautics Italy Upper center fuselage & horizontal stabilizer

Toray Industries Japan Carbon fiber for wing and tail units

2 - 10

Some Boeing Suppliers (787) Firm Country Component

Fuji Heavy Japan Center wing box Industries

Kawasaki Heavy Japan Forward fuselage, Industries fixed section of wing,

landing gear well

Teijin Seiki Japan Hydraulic actuators

Mitsubishi Heavy Japan Wing box Industries

Chengdu Aircraft China Rudder Group

Hafei Aviation China Parts

2 - 11

Some Boeing Suppliers (787) Firm Country Component

Korean Aviation South Wingtips Korea

Saab Sweden Cargo access doors

2 - 12

Global Strategies

•  Boeing – sales and production are worldwide •  Benetton – moves inventory to stores around

the world faster than its competition by building flexibility into design, production, and distribution

•  Sony – purchases components from suppliers in Thailand, Malaysia, and around the world

8/17/12

3

2 - 13

Global Strategies •  Volvo – considered a Swedish company but

until recently was controlled by an American company, Ford. The current Volvo S40 is built in Belgium and shares its platform with the Mazda 3 built in Japan and the Ford Focus built in Europe.

•  Haier – A Chinese company, produces compact refrigerators (it has one-third of the US market) and wine cabinets (it has half of the US market) in South Carolina

2 - 14

35 –

30 –

25 –

20 –

15 –

10 –

5 –

0 – | | | | | | | | | | | 1960 1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 (est*)

Year

P er

ce nt

Growth of World Trade

Figure 2.1

Collapse of the Berlin Wall

2 - 15

Reasons to Globalize

Reasons to Globalize 1.  Reduce costs (labor, taxes, tariffs, etc.) 2.  Improve supply chain 3.  Provide better goods and services 4.  Understand markets 5.  Learn to improve operations 6.  Attract and retain global talent

Tangible Reasons

Intangible Reasons

2 - 16

Reduce Costs •  Foreign locations with lower wage rates can lower

direct and indirect costs •  Maquiladoras •  World Trade Organization (WTO) •  North American Free Trade Agreement (NAFTA) •  APEC, SEATO, MERCOSUR, CAFTA •  European Union (EU)

2 - 17

Improve the Supply Chain •  Locating facilities closer to unique resources

•  Auto design to California •  Athletic shoe production to China •  Perfume manufacturing in France

2 - 18

Provide Better Goods and Services

•  Objective and subjective characteristics of goods and services

•  On-time deliveries •  Cultural variables •  Improved customer service

8/17/12

4

2 - 19

Understand Markets •  Interacting with foreign customers and suppliers can

lead to new opportunities •  Cell phone

design from Europe

•  Cell phone fads from Japan

•  Extend the product life cycle

2 - 20

Learn to Improve Operations •  Remain open to the free flow of ideas

•  General Motors partnered with a Japanese auto manufacturer to learn new approaches to production and inventory control

•  Equipment and layout have been improved using Scandinavian ergonomic competence

2 - 21

Attract and Retain Global Talent

•  Offer better employment opportunities •  Better growth opportunities and insulation against

unemployment •  Relocate unneeded personnel to more prosperous

locations

2 - 22

Cultural and Ethical Issues •  Cultures can be quite different •  Attitudes can be quite different towards

u Punctuality u Lunch breaks u Environment u Intellectual

property

u Thievery u Bribery u Child labor

2 - 23

Companies Want To Consider •  National literacy rate •  Rate of innovation •  Rate of technology

change •  Number of skilled

workers •  Political stability •  Product liability laws •  Export restrictions •  Variations in language

u  Work ethic u  Tax rates u  Inflation u  Availability of raw

materials u  Interest rates u  Population u  Number of miles of

highway u  Phone system

2 - 24

Match Product & Parent •  Braun Household

Appliances •  Firestone Tires •  Godiva Chocolate •  Haagen-Dazs Ice

Cream •  Jaguar Autos •  MGM Movies •  Lamborghini Autos •  Alpo Petfoods

1.  Volkswagen 2.  Bridgestone 3.  Campbell Soup 4.  Tata Motors Limited 5.  Proctor and Gamble 6.  Nestlé 7.  Pillsbury 8.  Sony

8/17/12

5

2 - 25

Match Product & Parent •  Braun Household

Appliances •  Firestone Tires •  Godiva Chocolate •  Haagen-Dazs Ice

Cream •  Jaguar Autos •  MGM Movies •  Lamborghini Autos •  Alpo Petfoods

1.  Volkswagen 2.  Bridgestone 3.  Campbell Soup 4.  Tata Motors Limited 5.  Proctor and Gamble 6.  Nestlé 7.  Pillsbury 8.  Sony

2 - 26

Match Product & Country •  Braun Household

Appliances •  Firestone Tires •  Godiva Chocolate •  Haagen-Dazs Ice

Cream •  Jaguar Autos •  MGM Movies •  Lamborghini Autos •  Alpo Pet Foods

1.  Great Britain 2.  Germany 3.  Japan 4.  United States 5.  Switzerland 6.  India

2 - 27

Match Product & Country •  Braun Household

Appliances •  Firestone Tires •  Godiva Chocolate •  Haagen-Dazs Ice

Cream •  Jaguar Autos •  MGM Movies •  Lamborghini Autos •  Alpo Pet Foods

1.  Great Britain 2.  Germany 3.  Japan 4.  United States 5.  Switzerland 6.  India

2 - 28

Developing Missions and Strategies

Mission statements tell an organization where it is going

The Strategy tells the organization how to get there

2 - 29

Mission

u  Mission - where are you going? u  Organization’s

purpose for being u  Answers ‘What do

we provide society?’ u  Provides boundaries

and focus

2 - 30

Merck The mission of Merck is to provide society with superior products and services—innovations and solutions that

improve the quality of life and satisfy customer needs—to provide employees with meaningful work and advancement

opportunities and investors with a superior rate of return.

Figure 2.2

8/17/12

6

2 - 31

Hard Rock Cafe Our Mission: To spread the spirit of Rock ’n’ Roll by delivering an exceptional entertainment and dining experience. We are committed to being an important, contributing member of our community and offering the Hard Rock family a fun, healthy, and nurturing work environment while ensuring our long-term

success.

Figure 2.2 2 - 32

Arnold Palmer Hospital

Arnold Palmer Hospital for Children provides state-of-the-art,

family centered healthcare focused on restoring the joy of childhood in an environment of compassion, healing, and hope.

Figure 2.2

2 - 33

Benefit to Society

Mission

Factors Affecting Mission Philosophy and Values

Profitability and Growth Environment

Customers Public Image

2 - 34

Sample Missions

Sample Company Mission

To manufacture and service an innovative, growing, and profitable worldwide microwave communications business that exceeds our customers’ expectations.

Sample Operations Management Mission

To produce products consistent with the company’s mission as the worldwide low-cost manufacturer.

Figure 2.3

2 - 35

Sample Missions

Figure 2.3

Sample OM Department Missions Product design To design and produce products and

services with outstanding quality and inherent customer value.

Quality management To attain the exceptional value that is consistent with our company mission and marketing objectives by close attention to design, procurement, production, and field service operations

Process design To determine, design, and produce the production process and equipment that will be compatible with low-cost product, high quality, and good quality of work life at economical cost.

2 - 36

Sample Missions

Figure 2.3

Sample OM Department Missions Location To locate, design, and build efficient and

economical facilities that will yield high value to the company, its employees, and the community.

Layout design To achieve, through skill, imagination, and resourcefulness in layout and work methods, production effectiveness and efficiency while supporting a high quality of work life.

Human resources To provide a good quality of work life, with well-designed, safe, rewarding jobs, stable employment, and equitable pay, in exchange for outstanding individual contribution from employees at all levels.

8/17/12

7

2 - 37

Sample Missions

Figure 2.3

Sample OM Department Missions Supply-chain management

To collaborate with suppliers to develop innovative products from stable, effective, and efficient sources of supply.

Inventory To achieve low investment in inventory consistent with high customer service levels and high facility utilization.

Scheduling To achieve high levels of throughput and timely customer delivery through effective scheduling.

Maintenance To achieve high utilization of facilities and equipment by effective preventive maintenance and prompt repair of facilities and equipment.

2 - 38

Strategic Process

Marketing Operations Finance/ Accounting

Functional Area Missions

Organization’s Mission

2 - 39

Strategy

u Action plan to achieve mission

u Functional areas have strategies

u Strategies exploit opportunities and strengths, neutralize threats, and avoid weaknesses

2 - 40

Strategies  for  Competitive   Advantage  

•  Differentiation – better, or at least different •  Cost leadership – cheaper •  Response – rapid response

2 - 41

Competing on Differentiation Uniqueness can go beyond both the physical

characteristics and service attributes to encompass everything that impacts customer’s perception of value

u  Safeskin gloves – leading edge products u  Walt Disney Magic Kingdom –

experience differentiation u  Hard Rock Cafe – dining experience

2 - 42

Competing on Cost Provide the maximum value as perceived by customer.

Does not imply low quality.

u  Southwest Airlines – secondary airports, no frills service, efficient utilization of equipment

u  Wal-Mart – small overhead, shrinkage, distribution costs

u  Franz Colruyt – no bags, low light, no music, doors on freezers

8/17/12

8

2 - 43

Competing on Response •  Flexibility is matching market changes in

design innovation and volumes •  A way of life at Hewlett-Packard

•  Reliability is meeting schedules •  German machine industry

•  Timeliness is quickness in design, production, and delivery

•  Johnson Electric, Pizza Hut, Motorola

2 - 44

OM’s Contribution to Strategy

Product

Quality

Process

Location

Layout

Human resource

Supply chain

Inventory

Scheduling

Maintenance

DIFFERENTIATION Innovative design … Safeskin’s innovative gloves Broad product line … Fidelity Security’s mutual funds After-sales service … Caterpillar’s heavy equipment

service Experience … Hard Rock Café’s dining

experience COST LEADERSHIP Low overhead … Franz-Colruyt’s warehouse-type

stores Effective capacity use … Southwest Airline’s

aircraft utilization Inventory management … Wal Mart’s sophisticated

distribution system RESPONSE Flexibility … Hewlett-Packard’s response to

volatile world market Reliability … FedEx’s “absolutely, positively,

on time” Quickness … Pizza Hut’s 5-minute guarantee

at lunchtime Figure 2.4

10 Operations Competitive Decisions Approach Example Advantage

Response (faster)

Cost leadership (cheaper)

Differentiation (better)

2 - 45

Managing Global Service Operations

u Capacity planning u Location planning u Facilities design and layout u Scheduling

Requires a different perspective on:

2 - 46

10 Strategic OM Decisions

1.  Goods and service design

2.  Quality 3.  Process and

capacity design 4.  Location selection 5.  Layout design

6.  Human resources and job design

7.  Supply-chain management

8.  Inventory 9.  Scheduling 10.  Maintenance

2 - 47

Goods and Services and the 10 OM Decisions

Operations Decisions Goods Services Goods and service design

Product is usually tangible

Product is not tangible

Quality Many objective standards

Many subjective standards

Process and capacity design

Customers not involved

Customer may be directly involved Capacity must match demand

Table 2.1 2 - 48

Goods and Services and the 10 OM Decisions

Operations Decisions Goods Services Location selection

Near raw materials and labor

Near customers

Layout design

Production efficiency

Enhances product and production

Human resources and job design

Technical skills, consistent labor standards, output based wages

Interact with customers, labor standards vary

Table 2.1

8/17/12

9

2 - 49

Goods and Services and the 10 OM Decisions

Operations Decisions Goods Services Supply chain

Relationship critical to final product

Important, but may not be critical

Inventory Raw materials, work-in-process, and finished goods may be held

Cannot be stored

Scheduling Level schedules possible

Meet immediate customer demand

Table 2.1 2 - 50

Goods and Services and the 10 OM Decisions

Operations Decisions Goods Services Maintenance Often preventive

and takes place at production site

Often “repair” and takes place at customer’s site

Table 2.1

2 - 51

Operations Strategies of Two Drug Companies

Brand Name Drugs, Inc. Generic Drug Corp.

Competitive Advantage Product Differentiation Low Cost

Product Selection and Design

Heavy R&D investment; extensive labs; focus on development in a broad range of drug categories

Low R&D investment; focus on development of generic drugs

Quality Major priority, exceed regulatory requirements

Meets regulatory requirements on a country by country basis

Table 2.2 2 - 52

Operations Strategies of Two Drug Companies

Brand Name Drugs, Inc. Generic Drug Corp.

Competitive Advantage Product Differentiation Low Cost

Process Product and modular process; long production runs in specialized facilities; build capacity ahead of demand

Process focused; general processes; “job shop” approach, short- run production; focus on high utilization

Location Still located in the city where it was founded

Recently moved to low- tax, low-labor-cost environment

Table 2.2

2 - 53

Operations Strategies of Two Drug Companies

Brand Name Drugs, Inc. Generic Drug Corp.

Competitive Advantage Product Differentiation Low Cost

Scheduling Centralized production planning

Many short-run products complicate scheduling

Layout Layout supports automated product- focused production

Layout supports process-focused “job shop” practices

Table 2.2 2 - 54

Operations Strategies of Two Drug Companies

Brand Name Drugs, Inc. Generic Drug Corp.

Competitive Advantage Product Differentiation Low Cost

Human Resources

Hire the best; nationwide searches

Very experienced top executives; other personnel paid below industry average

Supply Chain Long-term supplier relationships

Tends to purchase competitively to find bargains

Table 2.2

8/17/12

10

2 - 55

Operations Strategies of Two Drug Companies

Brand Name Drugs, Inc. Generic Drug Corp.

Competitive Advantage Product Differentiation Low Cost

Inventory High finished goods inventory to ensure all demands are met

Process focus drives up work-in-process inventory; finished goods inventory tends to be low

Maintenance Highly trained staff; extensive parts inventory

Highly trained staff to meet changing demand

Table 2.2 2 - 56

Issues In Operations Strategy

•  Resources view •  Value Chain analysis •  Porter’s Five Forces model •  Operating in a system with many external factors •  Constant change

2 - 57

Strategy

Analysis

SWOT Analysis

Internal Strengths

Internal Weaknesses

External Opportunities

External Threats

Mission

2 - 58

Product Life Cycle Best period to increase market share R&D engineering is critical

Practical to change price or quality image Strengthen niche

Poor time to change image, price, or quality Competitive costs become critical Defend market position

Cost control critical

Introduction Growth Maturity Decline C

om pa

ny S

tr at

eg y/

Is su

es

Figure 2.5

Internet search engines

Sales

Drive-through restaurants

CD-ROMs

Analog TVs

iPods

Boeing 787

LCD & plasma TVs

Twitter

Avatars

Xbox 360

2 - 59

Product Life Cycle Product design and development critical Frequent product and process design changes Short production runs High production costs Limited models Attention to quality

Introduction Growth Maturity Decline

O M

S tr

at eg

y/ Is

su es

Forecasting critical Product and process reliability Competitive product improvements and options Increase capacity Shift toward product focus Enhance distribution

Standardization Fewer product changes, more minor changes Optimum capacity Increasing stability of process Long production runs Product improvement and cost cutting

Little product differentiation Cost minimization Overcapacity in the industry Prune line to eliminate items not returning good margin Reduce capacity

Figure 2.5

2 - 60

Strategy Development Process

Determine the Corporate Mission State the reason for the firm’s existence and identify the

value it wishes to create.

Form a Strategy Build a competitive advantage, such as low price, design, or

volume flexibility, quality, quick delivery, dependability, after- sale service, broad product lines.

Analyze the Environment Identify the strengths, weaknesses, opportunities, and threats.

Understand the environment, customers, industry, and competitors.

Figure 2.6

8/17/12

11

2 - 61

Strategy Development and Implementation

•  Identify key success factors •  Build and staff the organization •  Integrate OM with other activities

The operations manager’s job is to implement an OM strategy, provide

competitive advantage, and increase productivity

2 - 62

Key Success Factors

Production/Operations

Figure 2.7

Marketing

Service Distribution Promotion Channels of distribution Product positioning (image, functions)

Finance/Accounting

Leverage Cost of capital Working capital Receivables Payables Financial control Lines of credit

Decisions Sample Options Chapter

Product Quality Process Location Layout Human resource Supply chain Inventory Schedule Maintenance

Customized, or standardized Define customer expectations and how to achieve them Facility size, technology, capacity Near supplier or near customer Work cells or assembly line Specialized or enriched jobs Single or multiple suppliers When to reorder, how much to keep on hand Stable or fluctuating production rate Repair as required or preventive maintenance

5 6, S6 7, S7

8 9

10 11, S11

12, 14, 16 13, 15

17

Support a Core Competence and Implement Strategy by Identifying and Executing the Key Success Factors in the Functional Areas

2 - 63

Courteous, but Limited Passenger

Service

Standardized Fleet of Boeing

737 Aircraft

Competitive Advantage: Low Cost

Lean, Productive Employees

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

High Aircraft

Utilization

Frequent, Reliable

Schedules

Figure 2.8

Activity Mapping at Southwest Airlines

2 - 64

Activity Mapping at Southwest Airlines

Courteous, but Limited Passenger

Service

Standardized Fleet of Boeing

737 Aircraft

Competitive Advantage: Low Cost

Lean, Productive Employees

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

High Aircraft

Utilization

Frequent, Reliable

Schedules

Figure 2.8

Automated ticketing machines No seat assignments No baggage transfers No meals (peanuts)

2 - 65

Activity Mapping at Southwest Airlines

Courteous, but Limited Passenger

Service

Standardized Fleet of Boeing

737 Aircraft

Competitive Advantage: Low Cost

Lean, Productive Employees

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

High Aircraft

Utilization

Frequent, Reliable

Schedules

Figure 2.8

No meals (peanuts) Lower gate costs at secondary airports

High number of flights reduces employee idle time

between flights

2 - 66

Activity Mapping at Southwest Airlines

Courteous, but Limited Passenger

Service

Standardized Fleet of Boeing

737 Aircraft

Competitive Advantage: Low Cost

Lean, Productive Employees

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

High Aircraft

Utilization

Frequent, Reliable

Schedules

Figure 2.8

High number of flights reduces employee idle time

between flights Saturate a city with flights,

lowering administrative costs (advertising, HR, etc.) per passenger for that city Pilot training required on only one type of aircraft Reduced maintenance

inventory required because of only one type of aircraft

8/17/12

12

2 - 67

Activity Mapping at Southwest Airlines

Courteous, but Limited Passenger

Service

Standardized Fleet of Boeing

737 Aircraft

Competitive Advantage: Low Cost

Lean, Productive Employees

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

High Aircraft

Utilization

Frequent, Reliable

Schedules

Figure 2.8

Pilot training required on only one type of aircraft Reduced maintenance

inventory required because of only one type of aircraft

Excellent supplier relations with Boeing has aided

financing

2 - 68

Activity Mapping at Southwest Airlines

Courteous, but Limited Passenger

Service

Standardized Fleet of Boeing

737 Aircraft

Competitive Advantage: Low Cost

Lean, Productive Employees

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

High Aircraft

Utilization

Frequent, Reliable

Schedules

Figure 2.8

Reduced maintenance inventory required because of only one type of aircraft Flexible employees and

standard planes aid scheduling

Maintenance personnel trained only one type of

aircraft 20-minute gate turnarounds

Flexible union contracts

2 - 69

Activity Mapping at Southwest Airlines

Courteous, but Limited Passenger

Service

Standardized Fleet of Boeing

737 Aircraft

Competitive Advantage: Low Cost

Lean, Productive Employees

Short Haul, Point-to- Point Routes, Often to

Secondary Airports

High Aircraft

Utilization

Frequent, Reliable

Schedules

Figure 2.8

Automated ticketing machines

Empowered employees High employee compensation

Hire for attitude, then train High level of stock

ownership High number of flights

reduces employee idle time between flights

2 - 70

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

u Standardized product u Economies of scale u Cross-cultural learning Examples:

Texas Instruments Caterpillar Otis Elevator

Global Strategy Transnational Strategy u Move material, people, ideas

across national boundaries u Economies of scale u Cross-cultural learning Examples

Coca-Cola Nestlé

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Multidomestic Strategy u Use existing

domestic model globally u Franchise, joint ventures,

subsidiaries Examples

Heinz The Body Shop McDonald’s Hard Rock Cafe

Figure 2.9

2 - 71

Some Multinational Corporations

% Sales % Assets Outside Outside Home Home Home % Foreign

Company Country Country Country Workforce

Citicorp USA 34 46 NA Colgate- USA 72 63 NA Palmolive Dow USA 60 50 NA Chemical Gillette USA 62 53 NA Honda Japan 63 36 NA IBM USA 57 47 51

2 - 72

Some Multinational Corporations

% Sales % Assets Outside Outside Home Home Home % Foreign

Company Country Country Country Workforce

ICI Britain 78 50 NA Nestle Switzerland 98 95 97 Philips Netherlands 94 85 82 Electronics Siemens Germany 51 NA 38 Unilever Britain & 95 70 64

Netherlands

8/17/12

13

2 - 73

Four International Operations Strategies u International

Strategy u Global Strategy u Multidomestic

Strategy u Transnational

Strategy

2 - 74

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

Figure 2.9

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

International Strategy

2 - 75

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Figure 2.9

2 - 76

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Figure 2.9

u Standardized product

u Economies of scale u Cross-cultural

learning Examples

Texas Instruments Caterpillar Otis Elevator

Global Strategy

2 - 77

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

u Standardized product u Economies of scale u Cross-cultural learning Examples:

Texas Instruments Caterpillar Otis Elevator

Global Strategy

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Figure 2.9

2 - 78

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

u Standardized product u Economies of scale u Cross-cultural learning Examples:

Texas Instruments Caterpillar Otis Elevator

Global Strategy

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Figure 2.9

u Use existing domestic model globally

u Franchise, joint ventures, subsidiaries

Examples

Heinz McDonald’s The Body Shop Hard Rock Cafe

Multidomestic Strategy

8/17/12

14

2 - 79

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

u Standardized product u Economies of scale u Cross-cultural learning Examples:

Texas Instruments Caterpillar Otis Elevator

Global Strategy

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Multidomestic Strategy u Use existing

domestic model globally u Franchise, joint ventures,

subsidiaries Examples

Heinz The Body Shop McDonald’s Hard Rock Cafe

Figure 2.9

2 - 80

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

u Standardized product u Economies of scale u Cross-cultural learning Examples:

Texas Instruments Caterpillar Otis Elevator

Global Strategy

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Multidomestic Strategy u Use existing

domestic model globally u Franchise, joint ventures,

subsidiaries Examples

Heinz The Body Shop McDonald’s Hard Rock Cafe

Figure 2.9

u Move material, people, ideas across national boundaries

u Economies of scale u Cross-cultural

learning Examples

Coca-Cola Nestlé

Transnational Strategy

2 - 81

Four International Operations Strategies

C os

t R ed

uc tio

n C

on si

de ra

tio ns

High

Low

High Low Local Responsiveness Considerations

(Quick Response and/or Differentiation)

u Standardized product u Economies of scale u Cross-cultural learning Examples:

Texas Instruments Caterpillar Otis Elevator

Global Strategy Transnational Strategy u Move material, people, ideas

across national boundaries u Economies of scale u Cross-cultural learning Examples

Coca-Cola Nestlé

International Strategy

u Import/export or license existing product

Examples

U.S. Steel Harley Davidson

Multidomestic Strategy u Use existing

domestic model globally u Franchise, joint ventures,

subsidiaries Examples

Heinz The Body Shop McDonald’s Hard Rock Cafe

Figure 2.9

2 - 82

Ranking Corruption Rank Country 2009 CPI Score (out of 10) 1 New Zealand 9.4 2 Demark 9.3 3 Singapore, Sweden 9.2 5 Switzerland 9.0 8 Australia, Canada, Iceland 8.7 12 Hong Kong 8.2 14 Germany 8.0 17 Japan, UK 7.7 19 USA 7.5 37 Taiwan 5.6 39 South Korea 5.5 56 Malaysia 4.5 79 China 3.6 89 Mexico 3.3 146 Russia 2.2

Least Corrupt

Most Corrupt

Chapter 5_Design of Goods and Services .pdf

8/19/12

1

5 - 1

5 MG 6303 Prof. Vivek Veeraiah

Design of Goods and Services

PowerPoint presentation to accompany Heizer and Render Operations Management, 10e Principles of Operations Management, 8e PowerPoint slides by Jeff Heyl

5 - 2

Product Decision

The objective of the product decision is to develop and implement a product strategy that meets the demands of the marketplace

with a competitive advantage

MG 6303 Prof. Vivek Veeraiah

5 - 3

Product Decision u  The good or service the organization provides society

u  Top organizations typically focus on core products u  Customers buy satisfaction, not just a physical good or particular

service

u  Fundamental to an organization's strategy with implications throughout the operations function

MG 6303 Prof. Vivek Veeraiah

5 - 4

Product Strategy Options MG 6303 Prof. Vivek Veeraiah

u  Differentiation u  Shouldice Hospital

u  Low cost u  Taco Bell

u  Rapid response u  Toyota

5 - 5

Product Life Cycles MG 6303 Prof. Vivek Veeraiah

u  May be any length from a few hours to decades

u  The operations function must be able to introduce new products successfully

5 - 6

Product Life Cycles MG 6303 Prof. Vivek Veeraiah

Negative cash flow

Introduction Growth Maturity Decline

S al

es , c

os t,

an d

ca sh

fl ow

Cost of development and production

Cash flow

Net revenue (profit)

Sales revenue

Loss

Figure 5.1

8/19/12

2

5 - 7

Product Life Cycle MG 6303 Prof. Vivek Veeraiah

Introductory Phase u  Fine tuning may warrant

unusual expenses for 1.  Research 2.  Product development 3.  Process modification and

enhancement 4.  Supplier development

5 - 8

Product Life Cycle MG 6303 Prof. Vivek Veeraiah

Growth Phase

u  Product design begins to stabilize

u  Effective forecasting of capacity becomes necessary

u  Adding or enhancing capacity may be necessary

5 - 9

Product Life Cycle MG 6303 Prof. Vivek Veeraiah

Maturity Phase

u  Competitors now established u  High volume, innovative

production may be needed u  Improved cost control,

reduction in options, paring down of product line

5 - 10

Product Life Cycle MG 6303 Prof. Vivek Veeraiah

Decline Phase

u  Unless product makes a special contribution to the organization, must plan to terminate offering

5 - 11

Product-by-Value Analysis

u  Lists products in descending order of their individual dollar contribution to the firm

u  Lists the total annual dollar contribution of the product

u  Helps management evaluate alternative strategies

MG 6303 Prof. Vivek Veeraiah

5 - 12

Product-by-Value Analysis MG 6303 Prof. Vivek Veeraiah

Individual Contribution ($)

Total Annual Contribution ($)

Love Seat $102 $36,720

Arm Chair $87 $51,765

Foot Stool $12 $6,240

Recliner $136 $51,000

Sam’s Furniture Factory

8/19/12

3

5 - 13

New Product Opportunities MG 6303 Prof. Vivek Veeraiah

1.  Understanding the customer

2.  Economic change 3.  Sociological and

demographic change 4.  Technological change 5.  Political/legal change 6.  Market practice, professional

standards, suppliers, distributors

Brains tormin

g

is a us eful too

l

5 - 14

Importance of New Products

MG 6303 Prof. Vivek Veeraiah

Industry leader

Top third

Middle third

Bottom third

Figure 5.2a

Percentage of Sales from New Products 50%

40%

30%

20%

10%

Position of Firm in Its Industry

5 - 15

Disney Attendance MG 6303 Prof. Vivek Veeraiah

Figure 5.2b 50

40

30

20

10

0

M ill

io ns

o f v

is ito

rs

‘93 ‘95 ‘97 ‘99 ‘01 ‘03 ‘05 ‘07

Magic Kingdom

Disney-Hollywood Epcot

Animal Kingdom

5 - 16

Cisco Product Revenue MG 6303 Prof. Vivek Veeraiah

Figure 5.2c 35

30

25

20

15

10

5

0

B ill

io ns

o f d

ol la

rs

‘02 ‘03 ‘04 ‘05 ‘06 ’07 ‘08

Other

Routers Switches

5 - 17

Product Development System

MG 6303 Prof. Vivek Veeraiah

Scope of product

development team

Scope for design and engineering

teams

Evaluation

Introduction

Test Market

Functional Specifications

Design Review

Product Specifications

Customer Requirements

Ability

Ideas

Figure 5.3

5 - 18

Quality Function Deployment

1.  Identify customer wants

2.  Identify how the good/service will satisfy customer wants

3.  Relate customer wants to product hows

4.  Identify relationships between the firm’s hows

5.  Develop importance ratings

6.  Evaluate competing products

7.  Compare performance to desirable technical attributes

MG 6303 Prof. Vivek Veeraiah

8/19/12

4

5 - 19

Organizing for Product Development

u  Historically – distinct departments u  Duties and responsibilities are defined u  Difficult to foster forward thinking

u  A Champion u  Product manager drives the product through the product

development system and related organizations

MG 6303 Prof. Vivek Veeraiah

5 - 20

Organizing for Product Development

u  Team approach u  Cross functional – representatives from all disciplines or

functions u  Product development teams, design for manufacturability

teams, value engineering teams

u  Japanese “whole organization” approach u  No organizational divisions

MG 6303 Prof. Vivek Veeraiah

5 - 21

Manufacturability and Value Engineering

u  Benefits: 1.  Reduced complexity of products 2.  Reduction of environmental impact 3.  Additional standardization of products 4.  Improved functional aspects of product 5.  Improved job design and job safety 6.  Improved maintainability (serviceability) of the

product 7.  Robust design

MG 6303 Prof. Vivek Veeraiah

5 - 22

Cost Reduction of a Bracket via Value Engineering

MG 6303 Prof. Vivek Veeraiah

Figure 5.5

5 - 23

Issues for Product Development

u  Robust design u  Modular design u  Computer-aided design (CAD) u  Computer-aided manufacturing (CAM) u  Virtual reality technology u  Value analysis u  Environmentally friendly design

MG 6303 Prof. Vivek Veeraiah

5 - 24

Robust Design MG 6303 Prof. Vivek Veeraiah

u  Product is designed so that small variations in production or assembly do not adversely affect the product

u  Typically results in lower cost and higher quality

8/19/12

5

5 - 25

Modular Design

u  Products designed in easily segmented components

u  Adds flexibility to both production and marketing

u  Improved ability to satisfy customer requirements

MG 6303 Prof. Vivek Veeraiah

5 - 26

Computer Aided Design (CAD)

u  Using computers to design products and prepare engineering documentation

u  Shorter development cycles, improved accuracy, lower cost

u  Information and designs can be deployed worldwide

MG 6303 Prof. Vivek Veeraiah

5 - 27

Extensions of CAD u  Design for Manufacturing and Assembly

(DFMA) u  Solve manufacturing problems during the

design stage

u  3-D Object Modeling u  Small prototype

development

u  CAD through the internet

u  International data exchange through STEP

MG 6303 Prof. Vivek Veeraiah

5 - 28

Computer-Aided Manufacturing (CAM)

MG 6303 Prof. Vivek Veeraiah

u  Utilizing specialized computers and program to control manufacturing equipment

u  Often driven by the CAD system (CAD/CAM)

5 - 29

Benefits of CAD/CAM

1.  Product quality

2.  Shorter design time

3.  Production cost reductions

4.  Database availability

5.  New range of capabilities

MG 6303 Prof. Vivek Veeraiah

5 - 30

Virtual Reality Technology

u  Computer technology used to develop an interactive, 3-D model of a product from the basic CAD data

u  Allows people to ‘see’ the finished design before a physical model is built

u  Very effective in large-scale designs such as plant layout

MG 6303 Prof. Vivek Veeraiah

8/19/12

6

5 - 31

Value Analysis

u  Focuses on design improvement during production

u  Seeks improvements leading either to a better product or a product which can be produced more economically with less environmental impact

MG 6303 Prof. Vivek Veeraiah

5 - 32

Ethics, Environmentally Friendly Designs, and Sustainability

MG 6303 Prof. Vivek Veeraiah

u  It is possible to enhance productivity and deliver goods and services in an environmentally and ethically responsible manner

u  In OM, sustainability means ecological stability

u  Conservation and renewal of resources through the entire product life cycle

5 - 33

Ethics, Environmentally Friendly Designs, and Sustainability

MG 6303 Prof. Vivek Veeraiah

u  Design u  Polyester film and shoes

u  Production u  Prevention in production and

packaging u  Destruction

u  Recycling in automobiles 5 - 34

Ethics, Environmentally Friendly Designs, and Sustainability

MG 6303 Prof. Vivek Veeraiah

5 - 35

The Ethical Approach MG 6303 Prof. Vivek Veeraiah

u  Goals 1.  Developing safe end environmentally

sound practices 2.  Minimizing waste of resources 3.  Reducing environmental liabilities 4.  Increasing cost-effectiveness of

complying with environmental regulations

5.  Begin recognized as a good corporate citizen

5 - 36

Guidelines for Environmentally Friendly Designs

1.  Make products recyclable

2.  Use recycled materials

3.  Use less harmful ingredients

4.  Use lighter components

5.  Use less energy

6.  Use less material

MG 6303 Prof. Vivek Veeraiah

8/19/12

7

5 - 37

Laws and Industry Standards

MG 6303 Prof. Vivek Veeraiah

For Design …

u  Food and Drug Administration u  Consumer Products Safety Commission u  National Highway Safety Administration u  Children’s Product Safety Act

5 - 38

Laws and Industry Standards

MG 6303 Prof. Vivek Veeraiah

For Manufacture/Assembly … u  Occupational Safety and Health

Administration u  Environmental Protection Agency u  Professional ergonomic standards u  State and local laws dealing with

employment standards, discrimination, etc.

5 - 39

Laws and Industry Standards

MG 6303 Prof. Vivek Veeraiah

For Disassembly/Disposal …

u  Vehicle Recycling Partnership u  Increasingly rigid laws worldwide

5 - 40

Time-Based Competition

MG 6303 Prof. Vivek Veeraiah

u  Product life cycles are becoming shorter and the rate of technological change is increasing

u  Developing new products faster can result in a competitive advantage

5 - 41

Product Development Continuum

MG 6303 Prof. Vivek Veeraiah

Internal Cost of product development Shared Lengthy Speed of product development Rapid and/

or Existing High Risk of product development Shared

EXTERNAL DEVELOPMENT STRATEGIES Alliances

Joint ventures Purchase technology or expertise by acquiring the developer

INTERNAL DEVELOPMENT STRATEGIES Migrations of existing products

Enhancements to existing products New internally developed products

Figure 5.6

5 - 42

Acquiring Technology MG 6303 Prof. Vivek Veeraiah

u  By Purchasing a Firm u  Speeds development u  Issues concern the fit between the acquired

organization and product and the host u  Through Joint Ventures

u  Both organizations learn u  Risks are shared

u  Through Alliances u  Cooperative agreements between

independent organizations

8/19/12

8

5 - 43

Service Design MG 6303 Prof. Vivek Veeraiah

u  Service typically includes direct interaction with the customer u  Increased opportunity for customization u  Reduced productivity

u  Cost and quality are still determined at the design stage u  Delay customization u  Modularization u  Reduce customer interaction, often

through automation 5 - 44

Service Design MG 6303 Prof. Vivek Veeraiah

Figure 5.12

5 - 45

Service Design MG 6303 Prof. Vivek Veeraiah

Figure 5.12 5 - 46

Moments of Truth MG 6303 Prof. Vivek Veeraiah

u  Concept created by Jan Carlzon of Scandinavian Airways

u  Critical moments between the customer and the organization that determine customer satisfaction

u  There may be many of these moments u  These are opportunities to gain or

lose business

5 - 47

Transition to Production

u  Know when to move to production u  Product development can be viewed as

evolutionary and never complete u  Product must move from design to production

in a timely manner

u  Most products have a trial production period to insure producibility u  Develop tooling, quality control, training u  Ensures successful production

MG 6303 Prof. Vivek Veeraiah

5 - 48

Transition to Production

u  Responsibility must also transition as the product moves through its life cycle u  Line management takes over from design

u  Three common approaches to managing transition u  Project managers u  Product development teams u  Integrate product development and

manufacturing organizations

MG 6303 Prof. Vivek Veeraiah