Eight jobs are to be processed through a single machine the


Question: Eight jobs are to be processed through a single machine. The processing times and due dates are given here.

Job                                         1               2                3               4                5                6                 7               8

Processing time               2              3                 2               1                4                3                 2               2

Due date                               5              4                 13              6               12               10               15             19

Furthermore, assume that the following precedence relationships must be satisfied:

2 → 6 → 3

1 → 4 → 7 → 8

Determine the sequence in which these jobs should be done in order to minimize the maximum lateness subject to the precedence restrictions.

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Engineering Mathematics: Eight jobs are to be processed through a single machine the
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