Journal of the Operations Research Society of China ›› 2013, Vol. 1 ›› Issue (3): 377-384.doi: 10.1007/s40305-013-0019-6

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Batch Scheduling with Deteriorating Jobs to Minimize the Total Completion Time

  

  • Online:2013-09-30 Published:2013-09-30

Abstract:

We consider bounded parallel-batch scheduling with proportional-linear
deteriorating jobs and the objective to minimize the total completion time. We give
some properties of optimal schedules for the problem and present for it a dynamic
programming algorithm running in O(b2m22m) time, where b is the size of a batch
and m is the number of distinct deterioration rates.

Key words: Batch scheduling , Deteriorating jobs , Dynamic programming
algorithm