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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