IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v12y1964i1p82-88.html
   My bibliography  Save this article

Queues with Hyper-Poisson Input and Exponential Output with Finite Waiting Space

Author

Listed:
  • S. K. Gupta

    (Department of Mathematics, Indian Institute of Technology, Kanpur (India))

  • J. K. Goyal

    (Department of Mathematics, Christ Church College, Kanpur (India))

Abstract

In this paper we consider the steady-state solution of the queuing system in which (i) units arrive according to the Hyper-Poisson distribution with n branches; (ii) the queue discipline is first-come, first-served; and (iii) the service time distribution is exponential. Assuming a finite waiting space, we derive the system-size distribution and the mean number of units therefrom. Results are also deduced when an infinite queue is allowed. Another interesting case is discussed when the over-all arrival rate for all the n branches is pre-assigned. Towards the end we study the simple case when no queue is allowed.

Suggested Citation

  • S. K. Gupta & J. K. Goyal, 1964. "Queues with Hyper-Poisson Input and Exponential Output with Finite Waiting Space," Operations Research, INFORMS, vol. 12(1), pages 82-88, February.
    • Handle: RePEc:inm:oropre:v:12:y:1964:i:1:p:82-88
    DOI: 10.1287/opre.12.1.82
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.12.1.82
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.12.1.82?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. S. Gupta & J. Goyal, 1966. "Queues with batch poisson arrivals and hyper-exponential service time distribution," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 10(1), pages 171-178, 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:12:y:1964:i:1:p:82-88. 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.