Exercise 3 Solution Harvard Case Solution & Analysis

Part 1

The new fictitious work centers with their times would be as follows:

Work Center 1 Work Center 2
David

3

4

John

5

5

Cindy

4

7

Peter

5

4

Isabel

4

2

Therefore, based upon the above work center processing times it could be said that in the optimal sequence
the Johnson's rule is being applied and that it would result in the minimization of the globl completion times.

Part 2

The optimal sequence is :
David>Cindy>John>Peter>Isabel

Global Completion time for all treatments

David Cindy John Peter Isabel TOTAL
Surgery

2

3

7

11

14

37

Radiology

1

4

5

6

7

23

Orthopedy

3

7

11

14

15

50

 It will take total of 15 hours to complete all treatments.

Waiting Times

David Cindy John Peter Isabel TOTAL
Surgery

0

2

3

7

11

23

Radiology

0

1

4

5

6

16

Orthopedy

0

3

7

11

14

35

Occupation Rate

Surgery

37.84%

Radiology

30.43%

Orthopedy

30.00%

 Part 3

Based upon Gupta's Rule
ej
David

1

John

0

Cindy

1

Peter

-1

Isabel

-1

Therefore, the schedule based upon Gupta's rule would be:
Peter>Isabel>John>David>Cindy
The global completion time would be same as compared to part b,
however, the waiting times for each patient would differ.

 Part 4

If an alternative global completion time is calculated based upon
alternative scheduling based on Gupta's rule then the total
global completion time (makespan) would be same in this case as
the time for treatment for each patient is constant.

Global completion Time (alternative schedule)

Peter Isabel John David Cindy
Surgery

4

7

11

13

14

Radiology

1

2

3

4

7

Orthopedy

3

4

8

11

15

 It could be seen that still the global completion time is same on alternative scheduling basis...................

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