IDEAS home Printed from https://ideas.repec.org/a/ids/injams/v3y2011i3p294-315.html
   My bibliography  Save this article

A simple analysis of customer impatience in multi-server queues

Author

Listed:
  • Amit Choudhury
  • Pallabi Medhi

Abstract

In reneging literature, the reneging distribution is often assumed to be deterministic or random. In case of random reneging, it is assumed that the distribution is state independent so that customers have the same reneging rate irrespective of their position in the system. However, one can commonly observe many queuing systems where customers are aware of their system state. In such systems, the reneging rate of customers standing at a distance from the service facility is higher than those placed near the service facility. The reneging rate is not constant but is a function of system state. This paper is an attempt to model such a reneging phenomenon along with balking in a multi-server queuing scenario. Closed form expressions of a number of performance measures are presented. A numerical example is discussed to demonstrate the results in the paper.

Suggested Citation

  • Amit Choudhury & Pallabi Medhi, 2011. "A simple analysis of customer impatience in multi-server queues," International Journal of Applied Management Science, Inderscience Enterprises Ltd, vol. 3(3), pages 294-315.
  • Handle: RePEc:ids:injams:v:3:y:2011:i:3:p:294-315
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=41319
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to search for a different version of it.

    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:ids:injams:v:3:y:2011:i:3:p:294-315. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carmel O'Grady). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=286 .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.