A Branch-and-Price Algorithm for the Ring-Tree Facility Location Problem
Author(s) -
Fabio Henrique N. Abe,
Edna A. Hoshino,
Alessandro Hill,
Roberto Baldacci
Publication year - 2019
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2019.08.002
Subject(s) - ring (chemistry) , facility location problem , branch and bound , computer science , algorithm , tree (set theory) , mathematical optimization , mathematics , combinatorics , chemistry , organic chemistry
The ring-tree facility location problem is a generalization of the capacitated ring-tree problem in which additional cost and capacity related to facilities are considered. Applications of this problem arise in the strategic design of bi-level telecommunication networks. We investigate an extended integer programming formulation for the problem and different approaches to deal with the NP-hardness of the pricing problem that appears in a branch-and-price algorithm to solve it. Computational experiments show how heuristics and relaxations improved the performance of a branch-and-price algorithm.
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