IDEAS home Printed from https://ideas.repec.org/a/igg/joris0/v11y2020i2p1-21.html
   My bibliography  Save this article

Performance Characteristics of Discrete-Time Queue With Variant Working Vacations

Author

Listed:
  • P. Vijaya Laxmi

    (Department of Applied Mathematics, Andhra University, Visakhapatnam, India)

  • Rajesh P.

    (Department of Mathematics, Vignan's Institute of Information Technology, Visakhapatnam, India)

Abstract

This article analyzes an infinite buffer discrete-time single server queueing system with variant working vacations in which customers arrive according to a geometric process. As soon as the system becomes empty, the server takes working vacations. The server will take a maximum number K of working vacations until either he finds at least on customer in the queue or the server has exhaustively taken all the vacations. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. The probability generating function of the steady-state probabilities and the closed form expressions of the system size when the server is in different states have been derived. In addition, some other performance measures, their monotonicity with respect to K and a cost model are presented to determine the optimal service rate during working vacation.

Suggested Citation

  • P. Vijaya Laxmi & Rajesh P., 2020. "Performance Characteristics of Discrete-Time Queue With Variant Working Vacations," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 11(2), pages 1-21, April.
    • Handle: RePEc:igg:joris0:v:11:y:2020:i:2:p:1-21
    as

    Download full text from publisher

    File URL: http://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJORIS.2020040101
    Download Restriction: no
    ---><---

    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:igg:joris0:v:11:y:2020:i:2:p:1-21. 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: Journal Editor (email available below). General contact details of provider: https://www.igi-global.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.