IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v53y2025i3p324-340.html
   My bibliography  Save this article

A state dependent arrival analysis in a non-Markovian bulk queue with server failures

Author

Listed:
  • S. Palaniammal
  • S. Pradeep

Abstract

Breakdown brings a huge impact in the queueing system, which causes complicated consequences. This paper comprises the results of functioning and malfunctioning of the queueing system due to continuous server breakdown. This work examines the failure of the server without interruption in state-dependent arrivals and numerous vacations. Even if a failure happens, the server is not stopped for maintenance before finishing a batch of service. The queue size PGF at an irrational time period, as well as the probability generating functions of vacation, service, and renovation completion epochs, are derived using the additional variable technique. The queueing system's unique qualities and key features are provided, along with a cost model. An extensive numerical research is done using real-world examples.

Suggested Citation

  • S. Palaniammal & S. Pradeep, 2025. "A state dependent arrival analysis in a non-Markovian bulk queue with server failures," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 53(3), pages 324-340.
  • Handle: RePEc:ids:ijores:v:53:y:2025:i:3:p:324-340
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=146925
    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:ijores:v:53:y:2025:i:3:p:324-340. 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=170 .

    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.