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Technical Note—There are No Undiscovered Priority Index Sequencing Rules for Minimizing Total Delay Costs

Author

Listed:
  • Michael H. Rothkopf

    (University of California, Lawrence Laboratory, Berkeley, California)

  • Stephen A. Smith

    (University of Santa Clara, Santa Clara, California)

Abstract

There are two known priority index rules for minimizing total delay costs in sequencing a finite group of independent tasks on a single processor. One of these rules applies when delay costs are linear and the other when they are restricted to a class of exponential functions. We prove that there are no other classes of delay cost function for which a simple priority index rule is optimal.

Suggested Citation

  • Michael H. Rothkopf & Stephen A. Smith, 1984. "Technical Note—There are No Undiscovered Priority Index Sequencing Rules for Minimizing Total Delay Costs," Operations Research, INFORMS, vol. 32(2), pages 451-456, April.
    • Handle: RePEc:inm:oropre:v:32:y:1984:i:2:p:451-456
    DOI: 10.1287/opre.32.2.451
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    Citations

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    Cited by:

    1. José Niño-Mora, 2000. "Beyond Smith's rule: An optimal dynamic index, rule for single machine stochastic scheduling with convex holding costs," Economics Working Papers 514, Department of Economics and Business, Universitat Pompeu Fabra.
    2. Chun, Young H., 1999. "Selecting the best choice in the full information group interview problem," European Journal of Operational Research, Elsevier, vol. 119(3), pages 635-651, December.
    3. Szmerekovsky, Joseph G., 2007. "Single machine scheduling under market uncertainty," European Journal of Operational Research, Elsevier, vol. 177(1), pages 163-175, February.
    4. Cheng, T. C. Edwin & Shakhlevich, Natalia V., 2005. "Minimizing non-decreasing separable objective functions for the unit-time open shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 165(2), pages 444-456, September.
    5. Pandelis, Dimitrios G., 2007. "Optimal preemptive scheduling on uniform machines with discounted flowtime objectives," European Journal of Operational Research, Elsevier, vol. 177(1), pages 630-637, February.
    6. S.S. Panwalkar & Christos Koulamas, 2015. "Scheduling research and the first decade of NRLQ: A historical perspective," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(4), pages 335-344, June.
    7. Xiaoqiang Cai & Xiaoqian Sun & Xian Zhou, 2004. "Stochastic scheduling subject to machine breakdowns: The preemptive‐repeat model with discounted reward and other criteria," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(6), pages 800-817, September.

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