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# An efficient solution method for Weber problems with barriers based on genetic algorithms

@article{Bischoff2007AnES, title={An efficient solution method for Weber problems with barriers based on genetic algorithms}, author={Martin Bischoff and Kathrin Klamroth}, journal={European Journal of Operational Research}, year={2007}, volume={177}, pages={22-41} }

- Published 2007 in European Journal of Operational Research
DOI:10.1016/j.ejor.2005.10.061

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 nonconvex 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 distancesâ€¦Â CONTINUE READING