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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