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Competitive location in networks with threshold-sensitive customer behaviour

Dolores R. Santos-Peñate(drsantos***at***dmc.ulpgc.es)
Rafael Suárez-Vega(rsuarez***at***dmc.ulpgc.es)
Pablo Dorta-González(pdorta***at***dmc.ulpgc.es)

Abstract: We consider the (r|X_p)-medianoid problem in networks. Goods are assumed to be essential and the only decision criterion is the travel distance. The portion of demand captured by the competitors is modelled by a general capture function which includes the binary, partially binary and proportional customer choice rules as specific cases. We prove that, under certain conditions of the capture function, a finite dominating set exists, extending some known results given for maximal covering location problems.

Keywords: competitive location, networks, medianoid, customer behaviour, covering decay function, finite dominating set

Category 1: Applications -- OR and Management Sciences (Other )

Citation: Competitive location in networks with threshold-sensitive customer behaviour/Version 2-February 2012 Dpto de Métodos Cuantitativos en Economía y Gestión-Universidad de Las Palmas de Gran Canaria

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Entry Submitted: 02/28/2012
Entry Accepted: 02/28/2012
Entry Last Modified: 02/28/2012

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