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Determine the variance of the project

Mumbai University > Civil Engineering > SEM 8 > Construction Management

Marks: 10M

Following is the data of associated with PERT project

Activity A B C D E F G
Preceding Activity -- -- A B A B C,D
to 6 5 4 4 4 2 4
tm 9 8 7 7 7 5 10
tp 12 17 22 16 10 8 22
Z -3 -2 -1 0 1 2 3
P% 0.13 2.28 15.87 50 84.13 97.72 99.87

i) Determine the variance of the project

ii) What is the probability of completing the project in 29 days?

iii) What is the schedule duration with 90% probability?

1 Answer
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Activity Preceding Activity to tm tp te σ σ2
A -- 6 9 12 9 1 1
B -- 5 8 17 9 2 4
C A 4 7 22 9 3 9
D B 4 7 16 8 2 4
E A 4 7 10 7 1 1
F …

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