IDEAS home Printed from https://ideas.repec.org/a/spr/operea/v19y2019i2d10.1007_s12351-017-0303-z.html
   My bibliography  Save this article

Optimal balking strategies in the M/M/1 queue with multi-phase failures and repairs

Author

Listed:
  • Senlin Yu

    (Central South University)

  • Zaiming Liu

    (Central South University)

  • Jinbiao Wu

    (Central South University)

Abstract

In this paper, we study the equilibrium strategies in the M/M/1 queue with partial and total failures. The state of the server is modulated by a random environment. Based on different precision levels of system information, we study separately the threshold strategies for the fully observable case and mixed strategies for the fully unobservable case. In addition, we illustrate the effect of several parameters on equilibrium behavior via numerical examples. Some possible generalizations are also discussed.

Suggested Citation

  • Senlin Yu & Zaiming Liu & Jinbiao Wu, 2019. "Optimal balking strategies in the M/M/1 queue with multi-phase failures and repairs," Operational Research, Springer, vol. 19(2), pages 435-447, June.
    • Handle: RePEc:spr:operea:v:19:y:2019:i:2:d:10.1007_s12351-017-0303-z
    DOI: 10.1007/s12351-017-0303-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12351-017-0303-z
    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/s12351-017-0303-z?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. Yu, Senlin & Liu, Zaiming & Wu, Jinbiao, 2016. "Equilibrium strategies of the unobservable M/M/1 queue with balking and delayed repairs," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 56-65.
    Full references (including those not matched with items on IDEAS)

    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. Gabi Hanukov & Michael Hassoun & Oren Musicant, 2021. "On the Benefits of Providing Timely Information in Ticket Queues with Balking and Calling Times," Mathematics, MDPI, vol. 9(21), pages 1-16, October.
    2. Zaiming Liu & Can Cao & Shan Gao, 2019. "Equilibrium Joining Strategies in the Geo / Geo K /1 Queueing System," Mathematics, MDPI, vol. 7(11), pages 1-16, November.
    3. Zhang, Changzhen & Yang, Jun & Wang, Ning, 2023. "Timely reliability modeling and evaluation of wireless sensor networks with adaptive N-policy sleep scheduling," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    4. Shan Gao & Hua Dong & Xianchao Wang, 2021. "Equilibrium and pricing analysis for an unreliable retrial queue with limited idle period and single vacation," Operational Research, Springer, vol. 21(1), pages 621-643, March.
    5. V., Saravanan & V., Poongothai & P., Godhandaraman, 2023. "Performance analysis of a multi server retrial queueing system with unreliable server, discouragement and vacation model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 204-226.

    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:operea:v:19:y:2019:i:2:d:10.1007_s12351-017-0303-z. 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.