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The Optimal Order of Service in Tandem Queues

Author

Listed:
  • Shantanu V. Tembe

    (Permanente Services, Kaiser Foundation Hospital, Santa Clara, California)

  • Ronald W. Wolff

    (University of California, Berkeley, California)

Abstract

This paper considers tandem queues for which the order of performing service tasks can be changed, the service times being independent of this order. It determines the optimal order of service when either the service times of different tasks are nonoverlapping or, for two queues in tandem, the service time of one task is constant. For the optimal ordering, the waiting time of every customer is stochastically smaller than for any other.

Suggested Citation

  • Shantanu V. Tembe & Ronald W. Wolff, 1974. "The Optimal Order of Service in Tandem Queues," Operations Research, INFORMS, vol. 22(4), pages 824-832, August.
    • Handle: RePEc:inm:oropre:v:22:y:1974:i:4:p:824-832
    DOI: 10.1287/opre.22.4.824
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    Cited by:

    1. Genji Yamazaki & Hiroshi Ito, 1995. "Optimal order for two servers in tandem," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(1), pages 31-48, January.
    2. Glynn, Peter W. & Wang, Rob J., 2023. "A heavy-traffic perspective on departure process variability," Stochastic Processes and their Applications, Elsevier, vol. 166(C).

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