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Sufficient conditions for optimal facility locations to coincide

Institute for Operations Research and the Management Sciences (I N F O R M S)
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In some cases multifacility location problems may be solved by verifying a few simple inequalities involving the interfacility weights. The authors develop certain inequalities which are sufficient conditions for optimality in some multifacility problems. In the problems considered, distances are represented by a symmetric metric and there are no constraints on the location of the new facilities

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