IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v29y1983i2p174-187.html
   My bibliography  Save this article

Optimal Entering Rules for a Customer with Wait Option at an M/G/1 Queue

Author

Listed:
  • Avishai Mandelbaum

    (Tel Aviv University, Israel)

  • Uri Yechiali

    (Tel Aviv University, Israel)

Abstract

A "smart" customer arrives at an M/G/1 queue. While every other arrival joins the system unconditionally, our customer is allowed to choose among three alternatives: (i) he may Enter the queue and stay there until his service is completed, (ii) he may Leave the system right away, or (iii) he may Wait outside the queue. If he Enters or Leaves the system, his decision is final and no further actions are taken. If he chooses to Wait, he makes a new decision at the next service completion where he may, again, select one of the three options: Enter, Leave, or Wait. For a linear cost structure we show that for any n-period horizon (0

Suggested Citation

  • Avishai Mandelbaum & Uri Yechiali, 1983. "Optimal Entering Rules for a Customer with Wait Option at an M/G/1 Queue," Management Science, INFORMS, vol. 29(2), pages 174-187, February.
    • Handle: RePEc:inm:ormnsc:v:29:y:1983:i:2:p:174-187
    DOI: 10.1287/mnsc.29.2.174
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.29.2.174
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.29.2.174?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. Hanukov, Gabi & Avinadav, Tal & Chernonog, Tatyana & Yechiali, Uri, 2020. "A service system with perishable products where customers are either fastidious or strategic," International Journal of Production Economics, Elsevier, vol. 228(C).
    2. Shiliang Cui & Xuanming Su & Senthil Veeraraghavan, 2019. "A Model of Rational Retrials in Queues," Operations Research, INFORMS, vol. 67(6), pages 1699-1718, November.
    3. Roei Engel & Refael Hassin, 2017. "Customer equilibrium in a single-server system with virtual and system queues," Queueing Systems: Theory and Applications, Springer, vol. 87(1), pages 161-180, October.
    4. Brett Alan Hathaway & Seyed Morteza Emadi & Vinayak Deshpande, 2022. "Personalized Priority Policies in Call Centers Using Past Customer Interaction Information," Management Science, INFORMS, vol. 68(4), pages 2806-2823, April.

    More about this item

    Keywords

    queues; optimal joining rules;

    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:inm:ormnsc:v:29:y:1983:i:2:p:174-187. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.