Efficient scheduling algorithms for a single batch processing machine

  • Authors:
  • Yoshiro Ikura;Mark Gimple

  • Affiliations:
  • Consilium Inc., Mountain View, CA 94043, USA;Pagosa Systems, Inc., Menlo Park, CA 94025, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1986

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Abstract

Scheduling problems of a batch processing machine are solved by efficient algorithms. On a batch processing machine, multiple jobs can be processed simultaneously in a batch form. We call the number of jobs in the batch the batch size, which can be any integer between 1 and k, a predetermined integer of the maximum batch size. The process time of a batch is constant and independent of the batch size. Preemption is not allowed. Given n jobs with release times r"1 and due dates d"i, i = 1...., n, we give efficient algorithms to find a feasible schedule, if any, which minimizes the final completion time under the assumption such that for r"i r"j, d"i = d"j. Some industrial applications are discussed.