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Batching and Scheduling Jobs on Batch and Discrete Processors

Author

Listed:
  • Javad H. Ahmadi

    (IBM Corporation, Austin, Texas)

  • Reza H. Ahmadi

    (University of California, Los Angeles, California)

  • Sriram Dasu

    (University of California, Los Angeles, California)

  • Christopher S. Tang

    (University of California, Los Angeles, California)

Abstract

We consider a situation in which the manufacturing system is equipped with batch and discrete processors. Each batch processor can process a batch (limited number) of jobs simultaneously. Once the process begins, no job can be released from the batch processor until the entire batch is processed. In this paper, we analyze a class of two-machine batching and scheduling problems in which the batch processor plays an important role. Specifically, we consider two performance measures: the makespan and the sum of job completion times. We analyze the complexity of this class of problems, present polynomial procedures for some problems, propose a heuristic, and establish an upper bound on the worst case performance ratio of the heuristic for the NP-complete problem. In addition, we extend our analysis to the case of multiple families and to the case of three-machine batching.

Suggested Citation

  • Javad H. Ahmadi & Reza H. Ahmadi & Sriram Dasu & Christopher S. Tang, 1992. "Batching and Scheduling Jobs on Batch and Discrete Processors," Operations Research, INFORMS, vol. 40(4), pages 750-763, August.
    • Handle: RePEc:inm:oropre:v:40:y:1992:i:4:p:750-763
    DOI: 10.1287/opre.40.4.750
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