IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v141y2006i1p283-30110.1007-s10479-006-5304-2.html
   My bibliography  Save this article

Multiserver queue with addressed retrials

Author

Listed:
  • V. Mushko
  • M. Jacob
  • K. Ramakrishnan
  • A. Krishnamoorthy
  • A. Dudin

Abstract

This paper presents a multiserver retrial queueing system with servers kept apart, thereby rendering it impossible for one to know the status (idle/busy) of the others. Customers proceeding to one channel will have to go to orbit if the server in it is busy and retry after some time to some channel, not necessarily the one already tried. Each orbital customer, independently of others, chooses the server randomly according to some specified probability distribution. Further this distribution is identical for all customers. We assume that the same ‘orbit’ is used by all retrial customers, between repeated attempts, to access the servers. We derive the system state probability distribution under Poisson arrival process of external customers, exponentially distributed service times and linear retrial rates to access the servers. Several system state characteristics are obtained and numerical illustrations provided. Copyright Springer Science + Business Media, Inc. 2006

Suggested Citation

  • V. Mushko & M. Jacob & K. Ramakrishnan & A. Krishnamoorthy & A. Dudin, 2006. "Multiserver queue with addressed retrials," Annals of Operations Research, Springer, vol. 141(1), pages 283-301, January.
    • Handle: RePEc:spr:annopr:v:141:y:2006:i:1:p:283-301:10.1007/s10479-006-5304-2
    DOI: 10.1007/s10479-006-5304-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-006-5304-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10479-006-5304-2?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Bong Choi & Yong Chang & Bara Kim, 1999. "MAP 1 , MAP 2 /M/c retrial queue with guard channels and its application to cellular networks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(2), pages 231-248, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. G. Falin, 2012. "Stability of the multiserver queue with addressed retrials," Annals of Operations Research, Springer, vol. 196(1), pages 241-246, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Vyacheslav Abramov, 2006. "Analysis of multiserver retrial queueing system: A martingale approach and an algorithm of solution," Annals of Operations Research, Springer, vol. 141(1), pages 19-50, January.
    2. Tuan Phung-Duc & Hiroyuki Masuyama & Shoji Kasahara & Yutaka Takahashi, 2013. "A matrix continued fraction approach to multiserver retrial queues," Annals of Operations Research, Springer, vol. 202(1), pages 161-183, January.

    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:spr:annopr:v:141:y:2006:i:1:p:283-301:10.1007/s10479-006-5304-2. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.