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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. A flexible model and efficient solution strategies for discrete location problems
 Discrete applied mathematics 157 (2009), 5, pp.11281145 ISSN: 0166218X 

 English 
 Journal Article 
 Fraunhofer ITWM () 
Abstract
Flexible discrete location problems are a generalization of most classical discrete locations problems like pmedian or pcenter problems. They can be modeled by using socalled ordered median functions. These functions multiply a weight to the cost of fulfilling the demand of a customer, which depends on the position of that cost relative to the costs of fulfilling the demand of other customers.
In this paper a covering type of model for the discrete ordered median problem is presented. For the solution of this model two sets of valid inequalities, which reduces the number of binary variables tremendously, and several variable fixing strategies are identified. Based on these concepts a specialized branch & cut procedure is proposed and extensive computational results are reported.