## Heuristic Procedures for Solving the Discrete Ordered Median Problem

• We present two heuristic methods for solving the Discrete Ordered Median Problem (DOMP), for which no such approaches have been developed so far. The DOMP generalizes classical discrete facility location problems, such as the p-median, p-center and Uncapacitated Facility Location problems. The first procedure proposed in this paper is based on a genetic algorithm developed by Moreno Vega [MV96] for p-median and p-center problems. Additionally, a second heuristic approach based on the Variable Neighborhood Search metaheuristic (VNS) proposed by Hansen & Mladenovic [HM97] for the p-median problem is described. An extensive numerical study is presented to show the efficiency of both heuristics and compare them.

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Author: P. Dominguez-Marín, P. Hansen, N. Mladenovic, S. Nickel urn:nbn:de:hbz:386-kluedo-13118 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (46) Report English 2003 2003 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik 2004/02/10 discrete facility location; genetic algorithms; variable neighborhood search Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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