hti management dr/Mahmoud malik & Eng/ Ahmed Nagy

1. P E R T
For critical activity only
Q:
ACT. Pred. M O P te σ σ
2
A - 6 4 8
D A, C 9 5 13
C B 6 5 13
B - 7 4 10
G - 9 4 4
E B 3 2 4
F E, G 7 5 9
Σ σ
2
Required to:
1) Draw (A.O.A) network for the given project.
2) Get total time for the project, according to the given durations using (PERT).
3) What’s the probability of completing the project within (25 w) and (20 w).
4) What’s the total time of the project with probability 90%.
D
A c
B
E F
G
te = ( O+ 4M +P)/6
σ= (p-o)/6 (for critical only)
z =
𝑻 𝒑− 𝑻 𝒆𝒏𝒅
𝚺𝝈 𝟐
M: most probable duration
P: pessimistic duration
O: optimistic duration
te : Expected duration
Tend :End time for the project
Tp :Probability time for the project