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On the Optimality of Single-Server Queuing Systems

Author

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  • Shaler Stidham

    (Cornell University, Ithaca, New York)

Abstract

This paper considers optimal design models for queuing systems in which the decision variables are the number of servers and the mean rate at which each serves, the total cost per unit time of operating the system is the sum of a service cost per unit time and a waiting cost per unit time, and the optimality criterion is long-run expected average cost per unit time. It is shown that a single-server system is optimal for a wide class of arrival processes and service-time distributions, and for a wide variety of waiting-cost functions.

Suggested Citation

  • Shaler Stidham, 1970. "On the Optimality of Single-Server Queuing Systems," Operations Research, INFORMS, vol. 18(4), pages 708-732, August.
    • Handle: RePEc:inm:oropre:v:18:y:1970:i:4:p:708-732
    DOI: 10.1287/opre.18.4.708
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    Cited by:

    1. Feng, Haofang & Zhang, Sheng Hao & Zhang, Yong, 2023. "Managing production-inventory-maintenance systems with condition monitoring," European Journal of Operational Research, Elsevier, vol. 310(2), pages 698-711.
    2. Altendorfer, Klaus & Minner, Stefan, 2011. "Simultaneous optimization of capacity and planned lead time in a two-stage production system with different customer due dates," European Journal of Operational Research, Elsevier, vol. 213(1), pages 134-146, August.
    3. Tianhua Zhang & Juliang Zhang & Fu Zhao & Yihong Ru & John W. Sutherland, 2020. "Allocating resources for a restaurant that serves regular and group-buying customers," Electronic Commerce Research, Springer, vol. 20(4), pages 883-913, December.
    4. Shaler Stidham, 2002. "Analysis, Design, and Control of Queueing Systems," Operations Research, INFORMS, vol. 50(1), pages 197-216, February.
    5. Tanja Mlinar & Philippe Chevalier, 2016. "Pooling heterogeneous products for manufacturing environments," 4OR, Springer, vol. 14(2), pages 173-200, June.
    6. Justus Arne Schwarz & Martin Epp, 2016. "Performance evaluation of a transportation-type bulk queue with generally distributed inter-arrival times," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6251-6264, October.
    7. Nico M. van Dijk & Masakiyo Miyazawa, 2004. "Error Bounds for Perturbing Nonexponential Queues," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 525-558, August.
    8. Xiuli Chao & Carlton Scott, 2000. "Several Results on the Design of Queueing Systems," Operations Research, INFORMS, vol. 48(6), pages 965-970, December.

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