# a) Using the EDD (earliest due date) decision rule for sequencing the jobs, the order is... 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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