IDEAS home Printed from https://ideas.repec.org/a/ids/ijpman/v23y2025i4p521-553.html
   My bibliography  Save this article

Cost optimisation of single server retrial queue with standby server, extended vacation and delayed repair

Author

Listed:
  • R. Poornima
  • K. Kirupa

Abstract

This paper analyses a steady-state queueing system with repeated attempts, coupled with a standby server during vacation periods. Clients arrive in batches according to a compound Poisson process. If the server is idle upon batch arrival, one client receives immediate service; the rest join the orbit. Otherwise, the entire batch joins the orbit. After each service completion, the server may take a vacation and may extend the vacation with a certain probability. During vacations of the main server, a standby server serves clients. The server is subject to breakdown at a random amount of time, and the repair starts after some delay. After repair, service resumes for interrupted clients. Using the supplementary variable method, the equilibrium condition of the system is derived, and the stochastic decomposition law is verified. The system's probabilities and performance metrics are obtained. The optimal standby rate is determined through cost analysis to minimise expenses for the proposed model.

Suggested Citation

  • R. Poornima & K. Kirupa, 2025. "Cost optimisation of single server retrial queue with standby server, extended vacation and delayed repair," International Journal of Procurement Management, Inderscience Enterprises Ltd, vol. 23(4), pages 521-553.
    • Handle: RePEc:ids:ijpman:v:23:y:2025:i:4:p:521-553
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=147499
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;

    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:ids:ijpman:v:23:y:2025:i:4:p:521-553. 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: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=255 .

    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.