Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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Details of a PERT/CPM problem is listed in the table below.
Times are given in weeks.
Activity |
Preceding |
Optimistic Time |
Probable Time |
Pessimistic Time |
A |
-- |
7 |
9 |
14 |
B |
A |
2 |
2 |
8 |
C |
A |
8 |
12 |
16 |
D |
A |
3 |
5 |
10 |
E |
B |
4 |
6 |
8 |
F |
B |
6 |
8 |
10 |
G |
C, F |
2 |
3 |
4 |
H |
D |
2 |
2 |
8 |
I |
H |
6 |
8 |
16 |
J |
G, I |
4 |
6 |
14 |
K |
E, J |
2 |
2 |
5 |
- Calculate the expected time & variance for each activity. Enter these values in the appropriate column in the table above.
- Which activities form the critical path?
- What is the estimated time of the critical path?
- What are the project variance and the project standard deviation? {
5. What is the probability of completion of the project after week 40?
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