IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v18y1969i1p41-53.html
   My bibliography  Save this article

A Comparison of the Operational Features of Conventional Queues with a Self‐Regulating System

Author

Listed:
  • B. W. Conolly
  • N. Hadidi

Abstract

The practical effects of an analysis of a method of queue regulation considered in previous work by these authors (Conolly, 1968; Conolly and Hadidi, 1969), namely to allot to any customer a service time proportional to the inter‐arrival interval he creates, are compared numerically with M/M/1, D/M/1 and M/D/1. It is shown that as compared with M/M/1 a reduction in waiting time, and other advantages, are achieved without inflicting on the server the penalty of higher probability of idleness. Similar, though less spectacular, gains are achieved by comparison with D/M/1 and M/D/1, particularly in heavy traffic.

Suggested Citation

  • B. W. Conolly & N. Hadidi, 1969. "A Comparison of the Operational Features of Conventional Queues with a Self‐Regulating System," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 18(1), pages 41-53, March.
    • Handle: RePEc:bla:jorssc:v:18:y:1969:i:1:p:41-53
    DOI: 10.2307/2346438
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2346438
    Download Restriction: no
    File URL: https://libkey.io/10.2307/2346438?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. Weimin Dai & Jian-Qiang Hu, 2022. "Correlated queues with service times depending on inter-arrival times," Queueing Systems: Theory and Applications, Springer, vol. 100(1), pages 41-60, February.

    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:bla:jorssc:v:18:y:1969:i:1:p:41-53. 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: Wiley-Blackwell Digital Licensing or Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.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.