IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v111y2002i1p253-27010.1023-a1020914122189.html
   My bibliography  Save this article

Sequential Discrete p-Facility Models for Competitive Location Planning

Author

Listed:
  • Kathrin Fischer

Abstract

Two new models for duopolistic competitive discrete location planning with sequential acting and variable delivered prices are introduced. If locations and prices are assumed to be set “once and for all” by the players, the resulting bilevel program is nonlinear. Under the assumption that further price adjustments are possible, i.e., that a Nash equilibrium in prices is reached, the model can be simplified to a linear discrete bilevel formulation. It is shown that in either situation players should not share any locations or markets if they strive for profit-maximization. For the situation with price adjustments, a heuristic solution procedure is suggested. In addition, the bilevel models are shown to serve as a basis from which different well-known location models – as, for example, the p-median problem, the preemptive location problem and the maximum covering problem – can be derived as special cases. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Kathrin Fischer, 2002. "Sequential Discrete p-Facility Models for Competitive Location Planning," Annals of Operations Research, Springer, vol. 111(1), pages 253-270, March.
    • Handle: RePEc:spr:annopr:v:111:y:2002:i:1:p:253-270:10.1023/a:1020914122189
    DOI: 10.1023/A:1020914122189
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1020914122189
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1020914122189?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.

    Citations

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


    Cited by:

    1. Paveena Chaovalitwongse & Krongsin Somprasonk & Naragain Phumchusri & Joseph Heim & Zelda B. Zabinsky & W. Art Chaovalitwongse, 2017. "A decision support model for staff allocation of mobile medical service," Annals of Operations Research, Springer, vol. 249(1), pages 433-448, February.
    2. Pelegrín, Blas & Fernández, Pascual & Dolores García Pérez, María & Cano Hernández, Saúl, 2012. "On the location of new facilities for chain expansion under delivered pricing," Omega, Elsevier, vol. 40(2), pages 149-158, April.
    3. Xiang Li & Tianyu Zhang & Liang Wang & Hongguang Ma & Xiande Zhao, 2022. "A minimax regret model for the leader–follower facility location problem," Annals of Operations Research, Springer, vol. 309(2), pages 861-882, February.
    4. Vyacheslav Kalashnikov & Vladimir Bulavsky & Vitaliy Kalashnikov & Nataliya Kalashnykova, 2014. "Structure of demand and consistent conjectural variations equilibrium (CCVE) in a mixed oligopoly model," Annals of Operations Research, Springer, vol. 217(1), pages 281-297, June.
    5. Küçükaydin, Hande & Aras, Necati & Kuban AltInel, I., 2011. "Competitive facility location problem with attractiveness adjustment of the follower: A bilevel programming model and its solution," European Journal of Operational Research, Elsevier, vol. 208(3), pages 206-220, February.
    6. Adarsh Kumar Singh & Nachiappan Subramanian & Kulwant Singh Pawar & Ruibin Bai, 2018. "Cold chain configuration design: location-allocation decision-making using coordination, value deterioration, and big data approximation," Annals of Operations Research, Springer, vol. 270(1), pages 433-457, November.
    7. Arbib, Claudio & Pınar, Mustafa Ç. & Tonelli, Matteo, 2020. "Competitive location and pricing on a line with metric transportation costs," European Journal of Operational Research, Elsevier, vol. 282(1), pages 188-200.
    8. Zhang, Yue, 2015. "Designing a retail store network with strategic pricing in a competitive environment," International Journal of Production Economics, Elsevier, vol. 159(C), pages 265-273.

    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:annopr:v:111:y:2002:i:1:p:253-270:10.1023/a:1020914122189. 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.