IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/180481.html
   My bibliography  Save this article

Analysis of Multiserver Retrial Queueing System with Varying Capacity and Parameters

Author

Listed:
  • Alexander N. Dudin
  • Olga S. Dudina

Abstract

A multiserver queueing system, the dynamics of which depends on the state of some external continuous-time Markov chain (random environment, RE), is considered. Change of the state of the RE may cause variation of the parameters of the arrival process, the service process, the number of available servers, and the available buffer capacity, as well as the behavior of customers. Evolution of the system states is described by the multidimensional continuous-time Markov chain. The generator of this Markov chain is derived. The ergodicity condition is presented. Expressions for the key performance measures are given. Numerical results illustrating the behavior of the system and showing possibility of formulation and solution of optimization problems are provided. The importance of the account of correlation in the arrival processes is numerically illustrated.

Suggested Citation

  • Alexander N. Dudin & Olga S. Dudina, 2015. "Analysis of Multiserver Retrial Queueing System with Varying Capacity and Parameters," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, July.
    • Handle: RePEc:hin:jnlmpe:180481
    DOI: 10.1155/2015/180481
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/180481.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/180481.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/180481?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:jnlmpe:180481. 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.