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Slack and Project Duration

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The following project is to be scheduled using the expected times found using the approximation to the beta distribution. All duration estimates are in weeks:

Activity a m B Predecessors
A 2 5 8 -
B 4 10 22 A
C 1 4 16 B
D 4 6 8 A
E 4 6 11 A
F 1 2 6 E
G 3 4 17 D,E
H 1 2 3 C,F,G

A- Find the early start and late start schedule for each activity as well as its total and free
slack.

B- What is the critical path duration? What is the variance for the critical path? What is the
probability that the project will be completed in 24 weeks?

C- Using evidence from this specific project, explain if the estimate found in (B) is optimistic,
and why, or why not?

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Solution Preview

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The following project is to be scheduled using the expected times found using the approximation to the beta distribution. All duration estimates are in weeks:

Activity a m B Predecessors
A 2 5 8 -
B 4 10 22 A
C 1 4 16 B
D 4 6 8 A ...

Solution Summary

The solution examines slack and project duration. The critical path duration is determined.

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