Title
An Improved Lower Bound for the Multimedian Location Problem
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.
Year
DOI
Venue
2002
10.1023/A:1020755231275
Annals OR
Keywords
Field
DocType
location on networks,median problem,lower bound
Discrete mathematics,Mathematical optimization,Upper and lower bounds,Integer programming,Cutting stock problem,Linear programming relaxation,1-center problem,Mathematics
Journal
Volume
Issue
ISSN
110
1-4
1572-9338
Citations 
PageRank 
References 
0
0.34
12
Authors
3
Name
Order
Citations
PageRank
Ranganath Nuggehalli120.72
Timothy J. Lowe237739.67
James E. Ward3547.09