An improved lower bound for the multimedian location problem

被引:0
|
作者
Nuggehalli, R [1 ]
Lowe, TJ
Ward, JE
机构
[1] United Parcel Serv, Lutherville Timonium, MD 21093 USA
[2] Univ Iowa, Iowa City, IA 52242 USA
[3] Purdue Univ, W Lafayette, IN 47907 USA
基金
美国国家科学基金会;
关键词
location on networks; median problem; lower bound;
D O I
10.1023/A:1020755231275
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
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.
引用
收藏
页码:17 / 31
页数:15
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