IDEAS home Printed from https://ideas.repec.org/a/ids/ijmore/v30y2025i3p350-391.html
   My bibliography  Save this article

Cost optimisation of MMAP / PH (1), PH (2)/1 pre-emptive priority retrial queueing model with standby server, orbital search, server breakdowns, phase type repairs and impatient customers

Author

Listed:
  • G. Ayyappan
  • K. Thilagavathy
  • Rakesh Kumar

Abstract

In this paper, we examine a single server queueing model in which priority customers arrive based on the marked Markovian arrival process (MMAP) and their corresponding service process is based on phase-type (PH) distribution. The primary server provides service to high priority or low priority customers, who may be affected by a breakdown, the standby server takes over service until the primary server has been repaired. Whenever either the primary or the standby server becomes idle, an orbital search of low priority customers is performed. We have established the stability condition for the model. Utilising the matrix-analytic method (MAM), the model is solved under steady state. Further, the busy period analysis of the model is carried out. Finally, the cost model is presented and the total cost of the system is analysed with the change in system parameters.

Suggested Citation

  • G. Ayyappan & K. Thilagavathy & Rakesh Kumar, 2025. "Cost optimisation of MMAP / PH (1), PH (2)/1 pre-emptive priority retrial queueing model with standby server, orbital search, server breakdowns, phase type repairs and impatient customers," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 30(3), pages 350-391.
    • Handle: RePEc:ids:ijmore:v:30:y:2025:i:3:p:350-391
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=145759
    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:ijmore:v:30:y:2025:i:3:p:350-391. 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=320 .

    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.