Metaheuristic ILS with path relinking for the number partitioning problem

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Cesar Augusto Souza de Oliveira
William de Paula Ferreira
Reinaldo Carlos Mendes
Gleisson de Assis
Marcone Jamilson Freitas Souza
صندلی اداری

Abstract

This study brings an implementation of a metaheuristic procedure to solve the Number Partitioning Problem (NPP), which is a classic NP-hard combinatorial optimization problem. The presented problem has applications in different areas, such as: logistics, production and operations management, besides important relationships with other combinatorial problems. This paper aims to perform a comparative analysis between the proposed algorithm with others metaheuristics using a group of instances available on the literature. Implementations of constructive heuristics, local search and metaheuristics ILS with path relinking as mechanism of intensification and diversification were made in order to improve solutions, surpassing the others algorithms.

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