Single-machine due-window assignment and scheduling with resource allocation, aging effect, and a deteriorating rate-modifying activity

  • Authors:
  • Min Ji;Jiaojiao Ge;Ke Chen;T. C. E. Cheng

  • Affiliations:
  • -;-;-;-

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2013

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Abstract

We consider single-machine scheduling with a common due-window and a deteriorating rate-modifying activity. We assume that the processing time of a job is a function of the amount of a resource allocated to it, its position in the processing sequence, and its aging effect. The objective is to minimize the total cost, which is a function of earliness, tardiness, due-window starting time, due-window size, and resource consumption. We consider two models of the job processing time function and provide polynomial-time solution algorithms for the corresponding problems. We also give a more efficient solution algorithm for a special case of the second problem.