I need a detailed explanation and assistance to solve this problem:A company decides to plan a project, with activities, precedences and random duration statistics given in the following table: Activity Immediate PredecessorsDurationMinimum(weeks)DurationMode(weeks)DurationMaximum(weeks)Anone259BA168CA3512DB2412EB, C468FB678GD, E126HF, G4616* What method should be used?  Compute the mean and variances for each activity and add them to the table above* Draw the project network and label the arcs with the activity name.* Assuming that the critical path is AàBàP1àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks.* Assuming that the critical path is AàBàP1àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.

Question
Asked Mar 2, 2019
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I need a detailed explanation and assistance to solve this problem:

A company decides to plan a project, with activities, precedences and random duration statistics given in the following table:

 

Activity

Immediate

Predecessors

Duration

Minimum

(weeks)

Duration

Mode

(weeks)

Duration

Maximum

(weeks)

A

none

2

5

9

B

A

1

6

8

C

A

3

5

12

D

B

2

4

12

E

B, C

4

6

8

F

B

6

7

8

G

D, E

1

2

6

H

F, G

4

6

16

* What method should be used?  Compute the mean and variances for each activity and add them to the table above

* Draw the project network and label the arcs with the activity name.

* Assuming that the critical path is AàBàP1àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks.

* Assuming that the critical path is AàBàP1àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.

 

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Expert Answer

Step 1

Drawing the project network as shown in the diagram using AOA convention we represent the activities and their timings.

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Step 2

The mean time of the activities are computed based on the formula

te = (to + 4tm + tp ) / 6

where to = optimistic time (minimum), tm = most likely time (mode), tp = pessimistic time (maximum)

The variance of the time of the activities are computed based on the formula

Variance = (tp –to)2/36

So compl...

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