Article
On minimax-regret Huff location models
Author/s | Bello Garboza, Lenys
Blanquero Bravo, Rafael Carrizosa Priego, Emilio José |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2011-01 |
Deposit Date | 2016-10-24 |
Published in |
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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 ... 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España Junta de Andalucía |
Project ID. | MTM2008-09362
MTM2009-14039 FQM-329 |
Citation | 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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