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Question
An insurance company receives three types of policy application bundles daily from its head office for data entry and tiling. The time (in minutes) required for each type for these two operations is given in the following table:
| Policy | 1 | 2 | 3 |
| Data Entry | 90 | 120 | 180 |
| Filing | 140 | 110 | 100 |
Find the sequence that minimizes the total time required to complete the entire task.
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Solution
| Policy | 1 | 2 | 3 |
| Data Entry | 90 | 120 | 180 |
| Filing | 140 | 110 | 100 |
Observe that Min (Data entry, filing) = 90, corresponds to policy 1 on data entry
∴ Policy 1 is placed first in sequence.
| 1 |
Then the problem reduces to
| Policy | 2 | 3 |
| Data Entry | 120 | 180 |
| Filing | 110 | 100 |
Now, Min (Data entry, filing) = 100, corresponds to policy 3 on filing.
∴ Policy 3 is placed last on sequence and policy 2 on remaining.
∴ Optimal sequence is
| 1 | 2 | 3 |
Total elapsed time
| Policy | Data entry | Filling | ||
| In | Out | In | Out | |
| 1 (90, 140) | 0 | 90 | 90 | 230 |
| 2 (120, 110) | 90 | 210 | 230 | 340 |
| 3 (180, 100) | 210 | 390 | 390 | 490 |
∴ Total elapsed time = 490 mins
Idle time for data entry = 490 – 390 = 100 mins
Idle time for filling = 90 + 50 = 140 mins.
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