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Scheduling with parallel processors and linear delay costs

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  • Kenneth R. Baker
  • Alan G. Merten

Abstract

This paper deals with the sequencing problem of minimizing linear delay costs with parallel identical processors. The theoretical properties of this m‐machine problem are explored, and the problem of determining an optimum scheduling procedure is examined. Properties of the optimum schedule are given as well as the corresponding reductions in the number of schedules that must be evaluated in the search for an optimum. An experimental comparison of scheduling rules is reported; this indicates that although a class of effective heuristics can be identified, their relative behavior is difficult to characterize.

Suggested Citation

  • Kenneth R. Baker & Alan G. Merten, 1973. "Scheduling with parallel processors and linear delay costs," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(4), pages 793-804, December.
    • Handle: RePEc:wly:navlog:v:20:y:1973:i:4:p:793-804
    DOI: 10.1002/nav.3800200417
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    Cited by:

    1. Johnny C. Ho & Yih‐Long Chang, 1991. "Heuristics for minimizing mean tardiness for m parallel machines," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(3), pages 367-381, June.
    2. Hongmin Li & Woonghee T. Huh & Matheus C. Sampaio & Naiping Keng, 2021. "Planning Production and Equipment Qualification under High Process Flexibility," Production and Operations Management, Production and Operations Management Society, vol. 30(10), pages 3369-3390, October.

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