Question

In: Operations Management

4). Eight maintenance activities, their normal durations in weeks, and the crew sizes for the normal...

4). Eight maintenance activities, their normal durations in weeks, and the crew sizes for the normal condition are as follows:

Activity

Duration in Weeks

Crew size

AC

6

8

BC

6

7

BE

2

6

CD

3

2

CE

4

1

DF

7

4

EF

4

6

FG

5

10

  1. Extra crew members can be used to expedite activities BC, CE, DF, and EF at a cost given below:

Extra Crew

Weeks Saved

Crash cost per week

1

1

$100

2

2

$120

3

2

$200

4

3

$250

If there is a penalty cost of $1,250 per week beyond the minimum maintenance time of 20 weeks, recommend the minimum cost schedule.

  1. (Independent of part c) The table below, based on historical completion times, gives three estimates for each activity completion time. Determine the mean and variance of the expected project completion time and calculate the probability that the project is completed within the 20-week minimum maintenance time.

Activity

Optimistic

Most Likely

Pessimistic

AC

5

6

8

BC

4

6

10

BE

2

2

2

CD

2

3

7

CE

2

4

9

DF

5

7

13

EF

3

4

6

FG

4

5

16

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