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On minimax-regret Huff location models


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Author: Bello Garboza, Lenys
Blanquero Bravo, Rafael
Carrizosa Priego, Emilio José
Department: Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
Date: 2011-01
Published in: Computers and Operations Research, 38 (1), 90-97.
Document type: Article
Abstract: We address the following single-facility location problem: a firm is entering into a market by locating one facility in a region of the plane. The demand captured from each user by the facility will be proportional to the users buying power and inversely proportional to a function of the user-facility distance. Uncertainty exists on the buying power (weight) of the users. This is modeled by assuming that a set of scenarios exists, each scenario corresponding to a weight realization. The objective is to locate the facility following the Savage criterion, i.e., the minimax-regret location is sought. The problem is formulated as a global optimization problem with objective written as difference of two convex monotonic functions. The numerical results obtained show that a branch and bound using this new method for obtaining bounds clearly outperforms benchmark procedures.
Cite: Bello Garboza, L., Blanquero Bravo, R. y Carrizosa Priego, E.J. (2011). On minimax-regret Huff location models. Computers and Operations Research, 38 (1), 90-97.
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DOI: 10.1016/j.cor.2010.04.001

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