IDEAS home Printed from https://ideas.repec.org/a/spr/telsys/v88y2025i2d10.1007_s11235-025-01272-4.html
   My bibliography  Save this article

Efficiency of a markovian queue with non homogeneous vacations and strategic customers under partial vacation interruption

Author

Listed:
  • Sylia Abdoun

    (RIIMA Laboratory, University of Science and Technology Houari Boumediene USTHB)

  • Samira Taleb

    (RIIMA Laboratory, University of Science and Technology Houari Boumediene USTHB)

Abstract

We analyse the efficiency of an M/M/1 queue with non homogeneous vacations and partial vacation interruption. This type of queues are successfully used to model Base Station Sleep modes in 5 G technology. We consider two models where customers differ in their beliefs regarding the dynamic of the system. In the first model customers have only information on the server state, while, in the second model customers possess no information on the server status neither the number of customer on the system. In both models, we used the matrix geometric method to obtain the stationary distribution and derive the system performance measures. Additionally, we delved into customers’ behavior by determining individual and social joining probabilities. Our analysis extended to evaluating the system efficiency through the examination of efficiency measures such as throughput and the price of anarchy.

Suggested Citation

  • Sylia Abdoun & Samira Taleb, 2025. "Efficiency of a markovian queue with non homogeneous vacations and strategic customers under partial vacation interruption," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 88(2), pages 1-18, June.
    • Handle: RePEc:spr:telsys:v:88:y:2025:i:2:d:10.1007_s11235-025-01272-4
    DOI: 10.1007/s11235-025-01272-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11235-025-01272-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11235-025-01272-4?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.

    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:telsys:v:88:y:2025:i:2:d:10.1007_s11235-025-01272-4. 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: 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.