Information Technology Project Management

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Example Scheduling Problem 1 v3

 

Before we can schedule a project, we will need to have done the following, in order:

-        Identify project objectives

-        Write project scope statement

-        Develop a WBS

-        Generate a complete detailed task list

 

The above can be considered progressive elaboration of scope,

 

And then we need to:

 

-        Define immediate predecessors

 

If we do all of these things, we can then define a network diagram that illustrates the interrelationship among activities, and the various paths throughout the project.

 

Before we can develop a schedule, using the critical path method, we also have to:

 

-        Estimate task durations

 

The three (3) inputs to using the critical path method for scheduling are, therefore, (a) develop a detailed activity list with (b) immediate predecessors and (c) estimated task durations.

 

What I am going to show you now is how to develop a project schedule, in the following basic steps:

 

-        Draw a network diagram

-        Calculate durations along all project paths

-        Find the critical path(s)

-        Calculate Te

 

1. Draw network diagram for the following list of activities and their immediate predecessors. Draw start and end nodes.  The project is to put a consulting company’s marketing plan on the Internet. (Olson 2004, p. 207 #12).

 

Activity           Immediate predecessor

A                     none

B                     none

C                     D

D                     A

E                      A, B

F                      A, B

G                     E, F

H                     C

I                       C, G

J                      H, I

K                     J

L                      K

 

 

 

( See Network Diagram on Next)

 

 

2. Identify all paths from the network diagram above.

 

            Paths

           

            Path 1 – A-D-C-H-J-K-L

            Path 2 – A-D-C-I-J-K-L

            Path 3 – A-E-G-I-J-K-L

            Path 4 – A-F-G-I-J-K-L

            Path 5 – B-E-G-I-J-K-L

            Path 6 – B-F-G-I-J-K-L

 

2. Identify all paths and their summed durations from the following

detailed task list.

 

Activity                                                             Predecessor(s)    Duration

A-obtain your boss’s approval of your plan             none                     8 days

B-obtain budget approval                                             none                     12 days

C-obtain systems development approval    D                           10 days

D-develop user specifications                      A                           1 day

E-obtain a marketing program from mktg   A, B                      120 days

F-obtain a mktg program from consultant   A, B                      60 days

G-review and select mktg program                             E, F                       5 days

H-perform systems dev of module contents              C                           80 days

I-design system interface                               C, G                      50 days

J-review and approve systems development             H, I                        5 days

K-test prototype                                              J                            10 days

L-revision and final systems development K                           20 days

 

 

            Path     =          Summed duration

           

            Path 1 – A-D-C-H-J-K-L = 8+1+10+80+5+10+20 = 19 + 80 + 35 = 134 days

            Path 2 – A-D-C-I-J-K-L = 19 + 50 + 35 = 104 days

            Path 3 – A-E-G-I-J-K-L = 8 + 120 + 5 + 50 + 35 = 218 days

            Path 4 – A-F-G-I-J-K-L = 8 + 60 + 5 + 50 + 35 = 158 days

            Path 5 – B-E-G-I-J-K-L = 12+120+5+50+35 = 222 days

            Path 6 – B-F-G-I-J-K-L = 222 – 120 + 60 = 162 days

 

3. What is/are the critical path(s) from the paths above?

 

            Path 5 – B-E-G-I-J-K-L = 12+120+5+50+35 = 222 days

 

4. What is the shortest possible completion time for the project, Te?

 

222 days

 

5. Identify all non-critical activities in the project:

 

Activities A, C, D, and H do not fall on the critical path.

 

 

6. Develop an early start, early finish (ES/EF) schedule for the following project.

 

 

Activity

Predecessor

Duration

ES

EF

A

obtain your boss’s approval of your plan

none

8

0

8

B

obtain budget approval

none

12

0

12

C

obtain systems development approval

D

10

9

19

D

develop user specifications

A

1

8

9

E

obtain a marketing program from mktg

A, B

120

12

132

F

obtain a mktg program from consultant

A, B

60

12

72

G

review and select mktg program

E, F

5

132

137

H

perform systems dev of module contentS

C

80

19

99

I

design system interface

C, G

50

137

187

J

review and approve systems development

H, I

5

187

192

K

test prototype

J

10

192

202

L

revision and final systems development

K

20

202

222

Example Problem - Network Diagram :