IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v31y1985i6p752-763.html
   My bibliography  Save this article

Multi-Agent Customer Allocation in a Stochastic Service System

Author

Listed:
  • Hau Leung Lee

    (Department of Industrial Engineering and Engineering Management, Stanford University, Stanford, California 94305)

  • Morris A. Cohen

    (Department of Decision Sciences, The Wharton School, University of Pennsylvania, Philadelphia, Pennsylvania 19104)

Abstract

In many service systems, customers interact with an agent who directs customers to specific service facilities. Each agent, as a decision maker, seeks to allocate his/her customers to the service centers so as to optimize a measure of performance based on the customers' expected waiting time and the expected number of customers in service. In this paper, the problem of multiple agents, each optimizing his/her customer allocation decision in a stochastic service system, is analyzed as a noncooperative game. It is shown that an equilibrium point to such a game exists and sufficient conditions for which this equilibrium point is unique are also given. Finally, the relative efficiency of the multi-agent system is examined by comparing the customers' average waiting time in the multi-agent system to the one-agent case. It is shown that, in general, the multi-agent system is not as efficient as the one-agent one in terms of customer welfare.

Suggested Citation

  • Hau Leung Lee & Morris A. Cohen, 1985. "Multi-Agent Customer Allocation in a Stochastic Service System," Management Science, INFORMS, vol. 31(6), pages 752-763, June.
  • Handle: RePEc:inm:ormnsc:v:31:y:1985:i:6:p:752-763
    DOI: 10.1287/mnsc.31.6.752
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.31.6.752
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.31.6.752?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. Gupta, Alok & Stahl, Dale O. & Whinston, Andrew B., 1997. "A stochastic equilibrium model of internet pricing," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 697-722, May.
    2. Nicos Savva & Tolga Tezcan & Özlem Yıldız, 2019. "Can Yardstick Competition Reduce Waiting Times?," Management Science, INFORMS, vol. 65(7), pages 3196-3215, July.
    3. Humoud Alsabah & Benjamin Bernard & Agostino Capponi & Garud Iyengar & Jay Sethuraman, 2021. "Multiregional Oligopoly with Capacity Constraints," Management Science, INFORMS, vol. 67(8), pages 4789-4808, August.
    4. Grossman, Thomas A. & Brandeau, Margaret L., 2002. "Optimal pricing for service facilities with self-optimizing customers," European Journal of Operational Research, Elsevier, vol. 141(1), pages 39-57, August.
    5. Vishal Ahuja & Carlos A. Alvarez & Bradley R. Staats, 2020. "Maintaining Continuity in Service: An Empirical Examination of Primary Care Physicians," Manufacturing & Service Operations Management, INFORMS, vol. 22(5), pages 1088-1106, September.
    6. Xiuli Chao & Liming Liu & Shaohui Zheng, 2003. "Resource Allocation in Multisite Service Systems with Intersite Customer Flows," Management Science, INFORMS, vol. 49(12), pages 1739-1752, December.
    7. Gad Allon & Awi Federgruen, 2009. "Competition in Service Industries with Segmented Markets," Management Science, INFORMS, vol. 55(4), pages 619-634, April.
    8. Eitan Altman & Nahum Shimkin, 1998. "Individual Equilibrium and Learning in Processor Sharing Systems," Operations Research, INFORMS, vol. 46(6), pages 776-784, December.
    9. Li, He & Fang, Debin & Zhao, Chaoyang, 2024. "Retail competition among multi-type retail electric providers in social networks," Energy Economics, Elsevier, vol. 132(C).
    10. Robert A. Shumsky & Edieal J. Pinker, 2003. "Gatekeepers and Referrals in Services," Management Science, INFORMS, vol. 49(7), pages 839-856, July.
    11. Albert Y. Ha, 2001. "Optimal Pricing That Coordinates Queues with Customer-Chosen Service Requirements," Management Science, INFORMS, vol. 47(7), pages 915-930, July.
    12. Dale Stahl, "undated". "Pricing for Electronic Commerce," Computing in Economics and Finance 1996 _054, Society for Computational Economics.

    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:31:y:1985:i:6:p:752-763. 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.