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April  2009, 5(2): 193-216. doi: 10.3934/jimo.2009.5.193

A study with neighborhood searches to deal with multiobjective unconstrained permutation problems

Ricardo P. Beausoleil 1, and  Rodolfo A. Montejo 1,

1. 

Institute of Mathematics Cybernetic and Physic, 309 St. E, between 13 and 15, P.O. Box 10400, Havana, Cuba, Cuba

Received  April 2007 Revised  February 2009 Published  April 2009

This paper introduces a study with neighborhood search algorithms to deal with unconstrained multiobjective permutation problems. Filter-and-fan/path relinking approach designed by us, and the stochastic local search (SLS) developed by Paquete and Stutzle [22], implemented by us, are compared using as study cases the bi-objective quadratic assignment problem, and the bi-objective travelling salesman problem. Our approach is also compared with results published for bi-objective quadratic assignment problem, bi-objective flow shop problem, bi-objective and tri-objective travelling salesman problems. The results obtained show that the filter-and-fan/path relinking approach seems to be promising to tackle multiobjective permutation problems, achieving good and wide distributed approximations to the Pareto-optimal front.
Keywords: Filter-and-Fan, Permutation Problems., Multiple objectives, Path Relinking, Local Search.
Mathematics Subject Classification: Primary: 90C29, 90B50; Secondary: 93B4.
Citation: Ricardo P. Beausoleil, Rodolfo A. Montejo. A study with neighborhood searches to deal with multiobjective unconstrained permutation problems. Journal of Industrial and Management Optimization, 2009, 5 (2) : 193-216. doi: 10.3934/jimo.2009.5.193
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