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On the ( r | X p )-Medianoid Problem on a Network with Vertex and Edge Demands

Author

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  • Abdullah Dasci
  • H.A. Eiselt
  • Gilbert Laporte

Abstract

This article considers the (r|X p )-medianoid problem on a network N=(V,E) with vertex and edge demands. There are already p facilities located on the network and customers patronize the closest facility. The aim is to locate r additional facilities on the network where their captured demands will be maximized. Relationships with the (r|X p )-medianoid problem with vertex demands are established. Complexity and algorithmic results are presented. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Abdullah Dasci & H.A. Eiselt & Gilbert Laporte, 2002. "On the ( r | X p )-Medianoid Problem on a Network with Vertex and Edge Demands," Annals of Operations Research, Springer, vol. 111(1), pages 271-278, March.
    • Handle: RePEc:spr:annopr:v:111:y:2002:i:1:p:271-278:10.1023/a:1020966106259
    DOI: 10.1023/A:1020966106259
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    Cited by:

    1. Abdullah Dasci & Gilbert Laporte, 2005. "A Continuous Model for Multistore Competitive Location," Operations Research, INFORMS, vol. 53(2), pages 263-280, April.
    2. Rafael Suárez-Vega & Dolores Santos-Peñate & Pablo Dorta-González, 2014. "Location and quality selection for new facilities on a network market," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 52(2), pages 537-560, March.
    3. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.

    More about this item

    Keywords

    medianoid; competitive location;

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