Title
An Approximation Algorithm for the Facility Location Problem with Lexicographic Minimax Objective.
Abstract
We present a new approximation algorithm to the discrete facility location problem providing solutions that are close to the lexicographic minimax optimum. Thelexicographic minimax optimumis a concept that allows to find equitable location of facilities serving a large number of customers. The algorithm is independent of general purpose solvers and instead uses algorithms originally designed to solve the p-median problem. By numerical experiments, we demonstrate that our algorithm allows increasing the size of solvable problems and provides high-quality solutions. The algorithm found an optimal solution for all tested instances where we could compare the results with the exact algorithm.
Year
DOI
Venue
2014
10.1155/2014/562373
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Approximation algorithm,Mathematical optimization,Minimax,General purpose,Exact algorithm,Minimax approximation algorithm,Facility location problem,Lexicographical order,Mathematics
Journal
2014
ISSN
Citations 
PageRank 
1110-757X
3
0.41
References 
Authors
19
3
Name
Order
Citations
PageRank
Lubos Buzna119627.21
Michal Koháni281.88
Jaroslav Janácek331.08