IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/361901.html
   My bibliography  Save this article

Equilibrium Customer Strategies in the Queue with Threshold Policy and Setup Times

Author

Listed:
  • Peishu Chen
  • Wenhui Zhou
  • Yongwu Zhou

Abstract

We consider the equilibrium behavior of customers in the queue with policy and setup times. The server is shut down once the system is empty and begins an exponential setup time to start service again when the number of customers in the system accumulates the threshold . We consider the equilibrium threshold strategies for fully observable case and mixed strategies for fully unobservable case, respectively. We get various performance measures of the system and investigate some numerical examples of system size, social benefit, and expected cost function per unit time for the two different cases under equilibrium customer strategies.

Suggested Citation

  • Peishu Chen & Wenhui Zhou & Yongwu Zhou, 2015. "Equilibrium Customer Strategies in the Queue with Threshold Policy and Setup Times," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, August.
    • Handle: RePEc:hin:jnlmpe:361901
    DOI: 10.1155/2015/361901
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/361901.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/361901.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/361901?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
    ---><---

    Citations

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


    Cited by:

    1. Wojciech M. Kempa & Dariusz Kurzyk, 2022. "Analysis of Non-Steady Queue-Length Distribution in a Finite-Buffer Model with Group Arrivals and Power Saving Mechanism with Setups," Energies, MDPI, vol. 15(22), pages 1-15, November.
    2. Economou, Antonis & Logothetis, Dimitrios & Manou, Athanasia, 2022. "The value of reneging for strategic customers in queueing systems with server vacations/failures," European Journal of Operational Research, Elsevier, vol. 299(3), pages 960-976.

    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:361901. 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.