Find the sequence of jobs that minimizes the total elapsed time required to complete the following task on two machines.
| Task | A | B | C | D | E | F | G |
| I | 2 | 5 | 4 | 9 | 8 | 5 | 4 |
| II | 6 | 8 | 7 | 4 | 9 | 8 | 11 |
Also, find the optimal elapsed time.
The problem involves finding the sequence of jobs that minimizes the total elapsed time required to complete the tasks on two machines. This can be solved using Johnson’s Rule, which helps determine the optimal job sequence in a two-machine flow shop scheduling problem.
The given table represents the time required for each job on two machines (Machine I and Machine II).
To apply Johnson’s Rule, the following steps are followed:
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