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EXERCISES

9.1. Sequencing Jobs A fundamental model in scheduling contains a set of jobs that are waiting to be processed by a machine or processor. The machine is capable of handling only one job at a time, so the jobs must be processed in sequence. The problem is to find the best sequence for a given objective function.

For example, the processor might be an integrated machining center that performs a number of metal-cutting operations on components for complex assemblies. Ten different components have reached the center and are awaiting processing. These jobs and their processing times (expressed in hours) are described in the following table. In addition, each job has a corresponding due date that has been calculated by the production control system. As a result of the sequence chosen, each job will either be on time or late. If it is late, the amount of time by which it misses its due date is called its tardiness. The objective is to minimize the total tardiness in the schedule.


  

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