A population-based algorithm for solving linear assignment problems with two objectives

Abstract : The paper presents a population-based algorithm for computing approximations of the efficient solution set for the linear assignment problem with two objectives. This is a multiobjective metaheuristic based on the intensive use of three operators – a local search, a crossover and a path-relinking – performed on a population composed only of elite solutions. The initial population is a set of feasible solutions, where each solution is one optimal assignment for an appropriate weighted sum of two objectives. Genetic information is derived from the elite solutions, providing a useful genetic heritage to be exploited by crossover operators. An upper bound set, defined in the objective space, provides one acceptable limit for performing a local search. Results reported using referenced data sets have shown that the heuristic is able to quickly find a very good approximation of the efficient frontier, even in situation of heterogeneity of objective functions. In addition, this heuristic has two main advantages. It is based on simple easy-to-implement principles, and it does not need a parameter tuning phase.
Type de document :
Article dans une revue
Computers and Operations Research, Elsevier, 2017, 79, pp.291-303. <http://www.sciencedirect.com/science/article/pii/S0305054816301745>. <10.1016/j.cor.2016.07.006>
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01435487
Contributeur : Xavier Gandibleux <>
Soumis le : samedi 14 janvier 2017 - 12:39:50
Dernière modification le : vendredi 3 mars 2017 - 09:38:10

Identifiants

Collections

Citation

Xavier Gandibleux, Hiroyuki Morita, Naoki Katoh. A population-based algorithm for solving linear assignment problems with two objectives. Computers and Operations Research, Elsevier, 2017, 79, pp.291-303. <http://www.sciencedirect.com/science/article/pii/S0305054816301745>. <10.1016/j.cor.2016.07.006>. <hal-01435487>

Partager

Métriques

Consultations de la notice

239