IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v16y1968i5p1006-1015.html
   My bibliography  Save this article

The Waiting Time Process for a Certain Correlated Queue

Author

Listed:
  • B. W. Conolly

    (Virginia Polytechnic Institute, Blacksburg, Virginia)

Abstract

A brief description is given of a problem that arose in a nonqueuing context but that can be interpreted in queuing terms. The result is the unusual single-server system in which the length of a customer's service is determined by the length of the interarrival interval separating himself and his predecessor. The main result is the distribution of waiting time, and its moments. It is shown numerically that this pattern of server behavior results in a drastic reduction of the mean and variance of the waiting time as compared with a conventional M/M/l system.

Suggested Citation

  • B. W. Conolly, 1968. "The Waiting Time Process for a Certain Correlated Queue," Operations Research, INFORMS, vol. 16(5), pages 1006-1015, October.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:5:p:1006-1015
    DOI: 10.1287/opre.16.5.1006
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.16.5.1006
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.16.5.1006?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. Vlasiou, M. & Adan, I.J.B.F. & Boxma, O.J., 2009. "A two-station queue with dependent preparation and service times," European Journal of Operational Research, Elsevier, vol. 195(1), pages 104-116, May.
    2. 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.
    3. Peter Buchholz & Jan Kriege, 2017. "Fitting correlated arrival and service times and related queueing performance," Queueing Systems: Theory and Applications, Springer, vol. 85(3), pages 337-359, April.

    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:16:y:1968:i:5:p:1006-1015. 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.