IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v31y1983i1p184-205.html
   My bibliography  Save this article

A Single-Server Queue with Cyclostationary Arrivals and Arithmetic Service

Author

Listed:
  • Michael Kaplan

    (INRS-Télécommunications, Verdun, Québec, Canada)

Abstract

This paper studies a class of nonblocking single-server queues which arise in connection with the modeling of store-and-forward message-switching multiplexors. The essential feature of these queues is that the input processes are periodic and the service times discrete. The inputs are imagined as representing the aggregate of perhaps many statistically dissimilar streams; the statistics of the interarrival and service times within one period can be complex and arbitrary. We present an exact, transform-domain analysis for steady-state virtual waiting-time. This extends existing literature on periodic queues, and illuminates the precise nature of the trade-off between computational cost and model complexity in the class of models considered. We believe that the generality permitted of the input processes is of practical interest.

Suggested Citation

  • Michael Kaplan, 1983. "A Single-Server Queue with Cyclostationary Arrivals and Arithmetic Service," Operations Research, INFORMS, vol. 31(1), pages 184-205, February.
    • Handle: RePEc:inm:oropre:v:31:y:1983:i:1:p:184-205
    DOI: 10.1287/opre.31.1.184
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.31.1.184
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.31.1.184?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
    ---><---

    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:31:y:1983:i:1:p:184-205. 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.