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Matheuristics for the capacitated p‐median problem
Author(s) -
Stefanello Fernando,
de Araújo Olinto C. B.,
Müller Felipe M.
Publication year - 2015
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/itor.12103
Subject(s) - solver , mathematical optimization , metaheuristic , integer programming , heuristic , reduction (mathematics) , computer science , class (philosophy) , combinatorial optimization , mathematics , algorithm , artificial intelligence , geometry
The improvement in the performance of computers and mathematical programming techniques has led to the development of a new class of algorithms called matheuristics. Associated with an improvement of Mixed Integer Programming (MIP) solvers, these methods have successfully solved plenty of combinatorial optimization problems. This paper presents a matheuristic approach that hybridizes local search based metaheuristics and mathematical programming techniques to solve the capacitated p‐median problem. The proposal considers reduced mathematical models obtained by a heuristic elimination of variables that are unlikely to belong to a good or optimal solution. In addition, a partial optimization algorithm based on the reduction is proposed. All mathematical models are solved by an MIP solver. Computational experiments on five sets of instances confirm the good performance of our approach.