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PERT problem

A partially solved PERT problem is detailed in the table below. Times are given in weeks.

Activity Immediate

Predecessor(s) Optimistic

Time Most Likely

Time Pessimistic

Time

A — 2 4 6

B — 1 4 7

C A 2 2 2

D B 1 7 10

E D 2 4 6

F E 1 2 3

G C 3 4 17

H D, G 3 7 11

I D 8 9 10

J F, H 4 5 6

K I 1 1 1

a) Draw the AOA and AON networks.

b) Calculate the expected duration, and variance of each activity.

c) Calculate ES, EF, LS, LF, S for each activity.

d) Which activities form the critical path

e) What is the estimated time of the critical path

f) If the project is due to be completed in 26 weeks, what is the probability that the project will be completed on the due date

g) If the project manager wants at least a 98% probability that the project will be completed on the due date, what is the shortest project due date that will satisfy the manager