Semantic Scholar Open Access 2014 18 sitasi

An Approximation Algorithm for the Facility Location Problem with Lexicographic Minimax Objective

L. Buzna M. Koháni J. Janáček

Abstrak

We present a new approximation algorithm to the discrete facility location problem providing solutions that are close to the lexicographic minimax optimum. The lexicographic minimax optimum is 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 -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.

Penulis (3)

L

L. Buzna

M

M. Koháni

J

J. Janáček

Format Sitasi

Buzna, L., Koháni, M., Janáček, J. (2014). An Approximation Algorithm for the Facility Location Problem with Lexicographic Minimax Objective. https://doi.org/10.1155/2014/562373

Akses Cepat

Lihat di Sumber doi.org/10.1155/2014/562373
Informasi Jurnal
Tahun Terbit
2014
Bahasa
en
Total Sitasi
18×
Sumber Database
Semantic Scholar
DOI
10.1155/2014/562373
Akses
Open Access ✓