Question: Consider a cellular manufacturing environment. There are nine cells which either have a capacity to take on 1 or 2 jobs. Suppose there are seven
Consider a cellular manufacturing environment. There are nine cells which either have a capacity to take on 1 or 2 jobs. Suppose there are seven jobs and the hours to complete the jobs by cell are given below:
| Job 1 | Job 2 | Job 3 | Job 4 | Job 5 | Job 6 | Job 7 | |
| Cell 1 | 7.8 | 6.4 | 3.4 | 7.8 | 4.8 | 2.1 | 6.1 |
| Cell 2 | 4.3 | 6.5 | 4.4 | 5.9 | 6.8 | 7.4 | 3.3 |
| Cell 3 | 5 | 3.9 | 2.5 | 2 | 5.2 | 6.1 | 4.6 |
| Cell 4 | 2.1 | 6.5 | 7 | 2.7 | 5.5 | 4.7 | 5.8 |
| Cell 5 | 6.6 | 5.2 | 6.3 | 6.7 | 3.9 | 2.6 | 2.9 |
| Cell 6 | 4.9 | 7.2 | 4 | 3.3 | 5.8 | 3.4 | 5.3 |
| Cell 7 | 7.7 | 6.4 | 2.4 | 2.6 | 6.3 | 6 | 3.2 |
| Cell 8 | 6.5 | 5.3 | 4.3 | 7.8 | 3.1 | 2.5 | 5 |
| Cell 9 | 3 | 4.8 | 8 | 3.7 | 6.1 | 4.4 | 5.4 |
Cells 1, 3, 7, and 9 can handle up to 2 jobs and all other cells can handle at most 1 job. All seven jobs must be handled by a cell. Determine cell-to-job assignments to minimize the total manufacturing time.
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