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The follower location problem with attraction thresholds

Author

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

Abstract

. In this research note, the follower location problem where the customers' choice is based on an attraction function is analysed. The attraction function depends on both the distance between customers and facilities, and the characteristics (quality) of the facilities. Customers at each node impose a minimum level of attraction in order to patronise a facility and then they share their buying power among the facilities that pass this threshold. The amount of demand captured by each of these facilities is proportional to the attraction perceived by the customers. In this case, a discretisation of this network problem is proved.

Suggested Citation

  • Rafael Suárez‐Vega & Dolores R. Santos‐Peñate & Pablo Dorta‐González, 2007. "The follower location problem with attraction thresholds," Papers in Regional Science, Wiley Blackwell, vol. 86(1), pages 123-137, March.
    • Handle: RePEc:bla:presci:v:86:y:2007:i:1:p:123-137
    DOI: 10.1111/j.1435-5957.2007.00104.x
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    References listed on IDEAS

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    1. H C W L Williams & K S Kim & D Martin, 1990. "Location-Spatial Interaction Models: 1. Benefit-Maximizing Configurations of Services," Environment and Planning A, , vol. 22(8), pages 1079-1089, August.
    2. H C W L Williams & K S Kim, 1990. "Location-Spatial Interaction Models: 3. Competition between Organizations," Environment and Planning A, , vol. 22(10), pages 1281-1290, October.
    3. H C W L Williams & K S Kim, 1990. "Location-Spatial Interaction Models: 2. Competition between Independent Firms," Environment and Planning A, , vol. 22(9), pages 1155-1168, September.
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    Cited by:

    1. Drezner, Zvi & Eiselt, H.A., 2024. "Competitive location models: A review," European Journal of Operational Research, Elsevier, vol. 316(1), pages 5-18.
    2. Kress, Dominik & Pesch, Erwin, 2012. "Sequential competitive location on networks," European Journal of Operational Research, Elsevier, vol. 217(3), pages 483-499.
    3. Wuyang Yu, 2019. "A leader-follower model for discrete competitive facility location problem under the partially proportional rule with a threshold," PLOS ONE, Public Library of Science, vol. 14(12), pages 1-16, December.
    4. Blas Pelegrín & Rafael Suárez-Vega & Saúl Cano, 2012. "Isodistant points in competitive network facility location," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 20(3), pages 639-660, October.

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