IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v24y1976i3p530-542.html
   My bibliography  Save this article

On the Output of a GI / M / N Queuing System with Interrupted Poisson Input

Author

Listed:
  • Harry Heffes

    (Bell Telephone Laboratories, Holmdel, New Jersey)

Abstract

We consider the output process of a GI / M / N queuing system with interrupted Poisson input. The interrupted Poisson input is frequently used to characterize alternate routed traffic and may be shown to be equivalent to a mixture of two exponential distributions. We characterize the departure process as a semi-Markov process and give results for the joint distribution of the number of customers in the system and the state of the input process at service completions. We also present results relating to the interdeparture time distribution and the distribution of the nonbusy period and compare the results with some known results for single-server systems.

Suggested Citation

  • Harry Heffes, 1976. "On the Output of a GI / M / N Queuing System with Interrupted Poisson Input," Operations Research, INFORMS, vol. 24(3), pages 530-542, June.
    • Handle: RePEc:inm:oropre:v:24:y:1976:i:3:p:530-542
    DOI: 10.1287/opre.24.3.530
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.24.3.530
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.24.3.530?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
    ---><---

    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:24:y:1976:i:3:p:530-542. 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.