IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v18y1970i4p708-732.html
   My bibliography  Save this article

On the Optimality of Single-Server Queuing Systems

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.18.4.708
    Download Restriction: no

    File URL: https://libkey.io/10.1287/opre.18.4.708?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:oropre:v:18:y:1970:i:4:p:708-732. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.