Executing the Project
Project Management: Achieving Competitive Advantage
Fifth Edition
Chapter 10
Project Scheduling: Lagging, Crashing, and Activity Networks
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Learning Objectives
10.1 Apply lag relationships to project activities.
10.2 Construct and comprehend Gantt charts.
10.3 Recognize alternative means to accelerate projects, including their benefits and drawbacks.
10.4 Develop activity networks using Activity-on-Arrow techniques.
10.5 Understand some of the important controversies in the use of project networks.
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P M B o K Core Concepts (1 of 2)
Project Management Body of Knowledge (P M B o K) covered in this chapter includes:
Plan Schedule Management (P M B o K 6.1)
Define Activities (P M B o K 6.2)
Sequence Activities (P M B o K 6.3)
Precedence Diagramming Method (P M B o K 6.3.2.1)
Leads and Lags (P M B o K 6.3.2.3)
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P M B o K Core Concepts (2 of 2)
Estimate Activity Resources (P M B o K 6.4)
Estimate Activity Durations (P M B o K 6.5)
Develop Schedule (P M B o K 6.6)
Schedule Compression (P M B o K 6.6.2.7)
Control Schedule (P M B o K 6.7)
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Lags in Precedence Relationships
The logical relationship between the start and finish of one activity and the start and finish of another activity.
Four logical relationships between tasks:
Finish to Start
Finish to Finish
Start to Start
Start to Finish
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Finish to Start Lag
Most common type of sequencing
Shown on the line joining the modes
Added during forward pass
Subtracted during backward pass
Figure 10.2 Network Incorporating Finish to Start Lag of 4 Days
This lag is not the same as activity slack.
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Finish to Finish
Two activities share a similar completion point (wiring and H V A C).
The under construction cannot happen until wiring, plumbing, and H V A C installation are complete.
Figure 10.3 Finish to Finish Network Relationship
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Finish to Finish Lag
It may be appropriate for two or more activities to conclude at the same time. For example, a contractor building an office complex cannot begin interior wall construction until all wiring, plumbing, and H V A C have been installed; she may include lag to ensure the completion of all preceding activities all occur at the same time.
Figure 10.4 Finish to Finish Relationship with Lag Incorporated
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Start to Start Lag
Figure 10.5 Start to Start Network Relationship
Logic must be maintained by both forward and backward pass.
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Start to Finish Lag
Figure 10.6 Start to Finish Network Relationship
Least common type of lag relationship
Successor’s finish dependent on predecessor’s start
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Gantt Charts
Establish a time-phased network
Can be used as a tracking tool
Benefits of Gantt charts
Easy to comprehend
Identify the schedule baseline network
Allow for updating and control
Identify resource needs
Easy to create
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Figure 10.8 Completed Gantt Chart for Project Delta
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Figure 10.9 Gantt Chart for Project Delta with Critical Path Highlighted
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Figure 10.10 Gantt Chart with Resources Specified
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Figure 10.11 Gantt Chart with Lag Relationships
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Crashing
The process of accelerating a project
Primary methods for crashing:
Improving existing resources’ productivity
Changing work methods
Compromise quality and/or reduce project scope
Institute fast-tracking
Work overtime
Increasing the quantity of resources
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Crash Process
Determine activity fixed and variable costs
The crash point is the fully expedited activity
Optimize time–cost tradeoffs
Shorten activities on the critical path
Cease crashing when:
the target completion time is reached
the crashing cost exceeds the penalty cost
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Figure 10.14 Time/Cost Trade-Offs for Crashing Activities
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Table 10.1 Project Activities and Costs
| Activity | Predecessors | Normal Duration | Normal Cost | Crashed Duration | Crashed Cost |
| A | – | 5 days | $ 1,000 | 3 days | $ 1,500 |
| B | A | 7 days | 700 | 6 days | 1,000 |
| C | A | 3 days | 2,500 | 2 days | 4,000 |
| D | A | 5 days | 1,500 | 5 days | 1,500 |
| E | C, D | 9 days | 3,500 | 6 days | 9,000 |
| F | B | 4 days | 1,600 | 3 days | 2,500 |
| G | D | 6 days | 2,400 | 4 days | 3,000 |
| H | E, F, G | 8 days | 9,000 | 5 days | 15,000 |
| Total costs = | blank | blank | $22,450 | blank | $37,500 |
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Figure 10.15 Fully Crashed Project Activity Network
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Figure 10.16 Relationship Between Cost and Days Saved in a Crashed Project
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Activity-on-Arrow Networks
Activities represented by arrows
Widely used in construction
Event nodes easy to flag
Forward and backward pass logic similar to A O N
Two activities may not begin and end at common nodes
Dummy activities may be required
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Figure 10.18 Notation for Activity-On-Arrow (A O A) Networks
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Figure 10.19 Sample Network Diagram Using A O A Approach
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Figure 10.20a Representing Activities with Two or More Immediate Successors (Wrong)
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Figure 10.20b Alternative Way to Represent Activities with Two or More Immediate Successors (Wrong)
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Figure 10.20c Representing Activities with Two or More Immediate Successors Using Dummy Activities (Better)
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Figure 10.21 Partial Project Delta Network Using A O A Notation
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Figure 10.22 Completed Project Delta A O A Network
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Figure 10.23 Project Delta Forward Pass Using A O A Network
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Figure 10.24 Project Delta Backward Pass Using A O A Network
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Controversies in the Use of Networks
Networks can be too complex.
Poor network construction creates problems.
Networks may be used inappropriately.
Networks pose special dangers because contractors may create their own networks.
Positive bias exists in P E R T networks.
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Summary
Apply lag relationships to project activities.
Construct and comprehend Gantt charts.
Recognize alternative means to accelerate projects, including their benefits and drawbacks.
Develop activity networks using Activity-on-Arrow techniques.
Understand some of the important controversies in the use of project networks.
Copyright © 2019, 2016, 2013 Pearson Education, Inc. All Rights Reserved
Copyright
Copyright © 2019, 2016, 2013 Pearson Education, Inc. All Rights Reserved