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An Improved Lower Bound for the Multimedian Location Problem

Ranganath Nuggehalli, Timothy Lowe and James Ward

Annals of Operations Research, 2002, vol. 110, issue 1, 17-31

Abstract: We consider the problem of locating, on a network, n new facilities that interact with m existing facilities. In addition, pairs of new facilities interact. This problem, the multimedian location problem on a network, is known to be NP-hard. We give a new integer programming formulation of this problem, and show that its linear programming relaxation provides a lower bound that is superior to the bound provided by a previously published formulation. We also report results of computational testing with both formulations. Copyright Kluwer Academic Publishers 2002

Keywords: location on networks; median problem; lower bound (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1020755231275

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