GATE ME 2017 Set 1 — Question 52
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Industrial Engineering → Production Planning & Control → Scheduling & Job Sequencing
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Question
Following data refers to the jobs (P, Q, R, S) which have arrived at a machine for scheduling. The shortest possible average flow time is ________ days.
| Job | Processing Time (days) |
|---|---|
| P | 15 |
| Q | 9 |
| R | 22 |
| S | 12 |
Correct answer
31 to 31
Solution
To minimize the average flow time, the Shortest Processing Time (SPT) rule is applied.
Total Flow Time = days
1.Sort the jobs in increasing order of their processing times:
- Job Q: 9 days
- Job S: 12 days
- Job P: 15 days
- Job R: 22 days
- Flow time of Q = 9
- Flow time of S = 9 + 12 = 21
- Flow time of P = 21 + 15 = 36
- Flow time of R = 36 + 22 = 58
Total Flow Time = days
4.Calculate the average flow time:
Average Flow Time = days.Continue learning with Success Tracker
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