An Improved Lower Bound for the Multimedian Location Problem

作者: Ranganath Nuggehalli , Timothy J. Lowe , James E. Ward

DOI: 10.1023/A:1020755231275

关键词: Linear programming relaxationInteger programmingMathematical optimization1-center problemUpper and lower boundsMathematicsCutting stock problemTheory of computation

摘要: We consider the problem of locating, on a network, n new facilities that interact with m existing facilities. In addition, pairs interact. This problem, multimedian location is known to be NP-hard. give integer programming formulation this and show its linear relaxation provides lower bound superior provided by previously published formulation. also report results computational testing both formulations.

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