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Competitive Multifacility Location on Networks: the (r∣Xp)‐Medianoid Problem

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  • Rafael Suárez‐Vega
  • Dolores R. Santos‐Peñate
  • Pablo Dorta‐González

Abstract

. We investigate the (r∣Xp)‐medianoid problem for networks. This is a competitive location problem that consists of determining the locations of r facilities belonging to a firm in order to maximize its market share in a space where a competitor is already operating with p facilities. We consider six scenarios resulting from the combination of three customer choice rules (binary, partially binary, and proportional) with two types of services (essential and unessential). Known discretization results about the existence of a solution for the set of nodes are extended. Some examples and computational experience using heuristic algorithms are presented.

Suggested Citation

  • Rafael Suárez‐Vega & Dolores R. Santos‐Peñate & Pablo Dorta‐González, 2004. "Competitive Multifacility Location on Networks: the (r∣Xp)‐Medianoid Problem," Journal of Regional Science, Wiley Blackwell, vol. 44(3), pages 569-588, August.
    • Handle: RePEc:bla:jregsc:v:44:y:2004:i:3:p:569-588
    DOI: 10.1111/j.0022-4146.2004.00349.x
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    References listed on IDEAS

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    2. Méndez-Vogel, Gonzalo & Marianov, Vladimir & Lüer-Villagra, Armin & Eiselt, H.A., 2023. "Store location with multipurpose shopping trips and a new random utility customers’ choice model," European Journal of Operational Research, Elsevier, vol. 305(2), pages 708-721.

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