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An efficient solution method for Weber problems with barriers based on genetic algorithms
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DOI：10.1016/j.ejor.2005.10.061.png)
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In this paper we consider the problem of locating one new facility with respect to a given set of existing facilities in the plane and in the presence of convex polyhedral barriers. It is assumed that a barrier is a region where neither facility location nor travelling are permitted. The resulting non-convex optimization problem can be reduced to a finite series of convex subproblems, which can be solved by the Weiszfeld algorithm in case of the Weber objective function and Euclidean distances. A solution method is presented that, by iteratively executing a genetic algorithm for the selection of subproblems, quickly finds a solution of the global problem. Visibility arguments are used to reduce the number of subproblems that need to be considered, and numerical examples are presented. (c) 2006 Elsevier B.V. All rights reserved.
Keyword:
facility location
barriers
non-convex optimization
genetic algorithm
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IF:
6
论文数:
2.2W
被引数:
6.4W
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