Solving Large p-Median Problems with a Radius Formulation

被引:121
作者
Garcia, Sergio [1 ]
Labbe, Martine [2 ]
Marin, Alfredo [3 ]
机构
[1] Univ Carlos III Madrid, Dept Estadist, Leganes 28911, Madrid, Spain
[2] Univ Libre Bruxelles, Dept Informat, B-1050 Brussels, Belgium
[3] Univ Murcia, Dept Estadist & Invest Operat, Espinardo 30100, Murcia, Spain
关键词
discrete location; p-median; column-and-row generation; PLANT LOCATION PROBLEM; UNCAPACITATED FACILITY LOCATION; CANONICAL REPRESENTATION; GRAPH;
D O I
10.1287/ijoc.1100.0418
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
By means of a model based on a set covering formulation, it is shown how the p-median problem can be solved with just a column generation approach that is embedded in a branch-and-bound framework based on dynamic reliability branching. This method is more than competitive in terms of computational times and size of the instances that have been optimally solved. In particular, problems of a size larger than the largest ones considered in the literature up to now are solved exactly in this paper.
引用
收藏
页码:546 / 556
页数:11
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