Consider the project with the following estimates for activity times and precedence relationships: Activity Optimistic Time Most Likely Time Pessimistic Time Immediate Predecessor(s) A 3 4 5 -- B 5 7 9 -- C 2 3 10 A D 2 5 8 B E 1 7 7 B F 3 5 7 C, D G 7 8 9 D, E H 2 6 10 F   (a) What is the expected duration of the project? (b) What is the project variance? (c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?

Practical Management Science
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Author:WINSTON, Wayne L.
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Consider the project with the following estimates for activity times and precedence relationships:

Activity

Optimistic

Time

Most

Likely Time

Pessimistic

Time

Immediate

Predecessor(s)

A

3

4

5

--

B

5

7

9

--

C

2

3

10

A

D

2

5

8

B

E

1

7

7

B

F

3

5

7

C, D

G

7

8

9

D, E

H

2

6

10

F

 

(a) What is the expected duration of the project?

(b) What is the project variance?

(c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?

 

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