a)
Using EDD (earliest due date), we will sequence jobs with earliest due date first and then so on and so forth.
Sequence | Job | Due date |
1 | C | 175 |
2 | A | 180 |
3 | B | 200 |
4 | E | 210 |
5 | D | 230 |
We will calculate other parameters as below
Sequence | Job | Processing (Days) | Flow Time | Due date |
1 | C | 10 | 10 | 175 |
2 | A | 20 | 30 | 180 |
3 | B | 30 | 60 | 200 |
4 | E | 18 | 78 | 210 |
5 | D | 16 | 94 | 230 |
Total | 94 | 272 |
Total flow time for sequence using EDD rule is 272 days.
Percentage utilization for sequence developed using EDD rule is 94/ 272 = 0.3456 or 34.56%
Average number of jobs in the system for sequence developed using EDD rule is 272/ 94 = 2.89 jobs.
For calculating tardiness, we will have to consider that starting work day is 132 and calculated tardiness as Completion date - Due date (0 if negative)
Sequence | Job | Processing (Days) | Date Job Received | Completion date | Due date | Tardiness |
1 | C | 10 | 122 | 132 + 10 = 142 | 175 | 0 (142 - 175 is negative) |
2 | A | 20 | 110 | 142 + 20 = 162 | 180 | 0 (162 - 180 is negative) |
3 | B | 30 | 120 | 162 + 30 = 192 | 200 | 0 (192 - 200 is negative) |
4 | E | 18 | 130 | 192 + 18 = 210 | 210 | 0 |
5 | D | 16 | 125 | 210 + 16 = 226 | 230 | 0 (226- 230 is negative) |
Total | 94 | 0 |
Hence, Average tardiness (or job lateness) for sequence developed using EDD rule is 0/5 = 0 days.
b)
Using SPT (shortest processing time) rule, we will sequence shortest time job first and so on and so forth.
Sequence | Job | Processing (Days) |
1 | C | 10 |
2 | D | 16 |
3 | E | 18 |
4 | A | 20 |
5 | B | 30 |
We will calculate other parameters as below
Sequence | Job | Processing (Days) | Flow time |
1 | C | 10 | 10 |
2 | D | 16 | 26 |
3 | E | 18 | 44 |
4 | A | 20 | 64 |
5 | B | 30 | 94 |
Total | 94 | 238 |
Total flow time for the sequence developed using SPT rule = 238 days
Percentage utilization for the sequence developed using SPT rule = 94/ 238 = 0.3950 or 39.50%
Average number of jobs in the system for the sequence developed using SPT rule = 238/ 94 = 2.53 jobs
For calculating tardiness, we will have to consider that starting work day is 132 and calculated tardiness as Completion date - Due date (0 if negative)
Sequence | Job | Processing (Days) | Date Job Received | Completion date | Due date | Tardiness |
1 | C | 10 | 122 | 132 + 10 = 142 | 175 | 0 (142 - 175 is negative) |
2 | D | 16 | 125 | 142 + 16 = 158 | 230 | 0 (158 - 230 is negative) |
3 | E | 18 | 130 | 158 + 18 = 176 | 210 | 0 (176 - 210 is negative) |
4 | A | 20 | 110 | 176 + 20 = 196 | 180 | 16 (196 - 180) |
5 | B | 30 | 120 | 196 + 30 = 226 | 200 | 26 (226- 200) |
Total | 42 |
Average tardiness using SPT rule = Total tardiness/ number of jobs = 42/ 5 = 8.4 days.
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