IDEAS home Printed from https://ideas.repec.org/a/ids/ijisen/v18y2014i3p382-403.html
   My bibliography  Save this article

State dependent M/M/1/WV queueing system with inspection, controlled arrival rates and delayed repair

Author

Listed:
  • Madhu Jain
  • G.C. Sharma
  • Varsha Rani

Abstract

The Markov model is developed to explore the performance analysis of a state dependent working vacation queueing system with interdependent rates. The server is subjected to breakdown randomly while providing services. When a breakdown occurs, the server is immediately sent to the repair station where the repairman takes a setup time before starting the repair. The failed server is inspected by the repairman and if there is minor problem, the server is repaired and is sent back to the service station with probability q. If some major fault is diagnosed during inspection, the server requires second phase of repair with probability p = 1 − q. The matrix geometric method is applied to obtain the queue size distribution and other performance indices such as throughput, expected delay time, etc. Various performance measures are computed for varying values of system parameters to facilitate the sensitivity analysis by taking a numerical illustration.

Suggested Citation

  • Madhu Jain & G.C. Sharma & Varsha Rani, 2014. "State dependent M/M/1/WV queueing system with inspection, controlled arrival rates and delayed repair," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 18(3), pages 382-403.
    • Handle: RePEc:ids:ijisen:v:18:y:2014:i:3:p:382-403
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=65541
    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:ijisen:v:18:y:2014:i:3:p:382-403. 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=188 .

    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.