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Project Management: Network Diagrams, Critical Paths & Completion Probability

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9. The following table represents a plan for a project:

JOB NO., PREDECESSOR JOB(S), TIMES (DAYS) a m b
1 - 2 3 4
2 1 1 2 3
3 1 4 5 12
4 1 3 4 11
5 2 1 3 5
6 3 1 2 3
7 4 1 8 9
8 5, 6 2 4 6
9 8 2 4 12
10 7 3 4 5
11 9, 10 5 7 8

a. Construct the appropriate network diagram.
b. Indicate the critical path.
c. What is the expected completion time for the project?
e. What is the probability that the project will take more than 30 days to complete?

10. A project has an expected duration of 34 weeks with a critical path variance of 6. What is the
probability the project can be completed in 32 weeks or less?

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Solution Summary

The problem deals with determining the critical path and project diagram for 2 given questions, attached as a Word document with calculations in Excel.

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Project Management: Network diagram, Critical Path, CPM, PERT

3.28 The following represent activities in Marc Massoud's Construction Company project.
a) Draw the network to represent this situation.
b) Which activities are on the critical path?
c) What is the length of the critical path?
Activity Immediate Predecessor(s) Time (weeks) Activity Immediate Predecessor(s) Time (weeks)
A - 1 E B 2
B - 4 F C, E 7
C A 1 G D 2
D B 5 H F, G 3

3.29 A small software development project at Krishna Dhir's firm has five major activities. The times are estimated and provided in the table below. Find the expected time for completing Dhir's project.

Activity Immediate Predecessor a m b
A - 2 5 8
B - 3 6 9
C A 4 7 10
D B 2 5 14
E C 3 3 3
a) Find the expected completion time for this project.
b) What variance value would be used to find probabilities of finishing by a certain time?

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