IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaor/2456135.html
   My bibliography  Save this article

Markovian Queueing System with Discouraged Arrivals and Self-Regulatory Servers

Author

Listed:
  • K. V. Abdul Rasheed
  • M. Manoharan

Abstract

We consider discouraged arrival of Markovian queueing systems whose service speed is regulated according to the number of customers in the system. We will reduce the congestion in two ways. First we attempt to reduce the congestion by discouraging the arrivals of customers from joining the queue. Secondly we reduce the congestion by introducing the concept of service switches. First we consider a model in which multiple servers have three service rates , , and ( ), say, slow, medium, and fast rates, respectively. If the number of customers in the system exceeds a particular point or , the server switches to the medium or fast rate, respectively. For this adaptive queueing system the steady state probabilities are derived and some performance measures such as expected number in the system/queue and expected waiting time in the system/queue are obtained. Multiple server discouraged arrival model having one service switch and single server discouraged arrival model having one and two service switches are obtained as special cases. A Matlab program of the model is presented and numerical illustrations are given.

Suggested Citation

  • K. V. Abdul Rasheed & M. Manoharan, 2016. "Markovian Queueing System with Discouraged Arrivals and Self-Regulatory Servers," Advances in Operations Research, Hindawi, vol. 2016, pages 1-11, April.
    • Handle: RePEc:hin:jnlaor:2456135
    DOI: 10.1155/2016/2456135
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AOR/2016/2456135.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AOR/2016/2456135.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/2456135?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    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:hin:jnlaor:2456135. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.