Follow up to previous question: 3) 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   Questions: 1) What method should be used?  Compute the mean and variances for each activity and add them to the table above. 2)Draw the project network and label the arcs with the activity name. 3) Assuming that the critical path is AàBàP1àEàGàH, compute the probability that this path duration is between 28 weeks and 32 weeks. 4) Assuming that the critical path is AàBàP1àEàGàH, compute the number of weeks within which the project will be completed with probability 0.95.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Follow up to previous question:

3) 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

 

Questions:

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

2)Draw the project network and label the arcs with the activity name.

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

4) 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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