GATE ME 2018 Set 1 — Question 62
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Industrial Engineering → Production Planning & Control → Scheduling & Job Sequencing
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Question
Processing times (including setup times) and due dates for six jobs waiting to be processed at a work centre are given in the table. The average tardiness (in days) using shortest processing time rule is ___________ (correct to two decimal places).
| Job | Processing time (days) | Due date (days) |
|---|---|---|
| A | 3 | 8 |
| B | 7 | 16 |
| C | 4 | 4 |
| D | 9 | 18 |
| E | 5 | 17 |
| F | 13 | 19 |
Correct answer
6.31 to 6.35
Solution
To find the average tardiness using the Shortest Processing Time (SPT) rule, we first sequence the jobs in increasing order of their processing times:
1.Sequence the jobs:
- Job A: 3 days
- Job C: 4 days
- Job E: 5 days
- Job B: 7 days
- Job D: 9 days
- Job F: 13 days
- Job A: ,
- Job C: ,
- Job E: ,
- Job B: ,
- Job D: ,
- Job F: ,
- Total Tardiness = days
- Average Tardiness = days.
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