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Asymptotic convergence of metaheuristics for multiobjective optimization problems
Authors:Mario Villalobos-Arias  Carlos A Coello Coello  Onésimo Hernández-Lerma
Affiliation:(1) Department of Mathematics, CINVESTAV-IPN, A. Postal 14-740, México, DF, 07000, Mexico;(2) Escuela de Matemática Universidad de Costa Rica, San José, Costa Rica;(3) Evolutionary Computation Group Depto. de Ingeniería Eléctrica Seccóon de ComputaciónAv. Instituto Politécnico Nacional, CINVESTAV-IPN, No. 2508 Col. San Pedro Zacatenco, México, DF, 07300, Mexico
Abstract:This paper analyzes the convergence of metaheuristics used for multiobjective optimization problems in which the transition probabilities use a uniform mutation rule. We prove that these algorithms converge only if elitism is used.
Keywords:Metaheuristics  Multiobjective optimization  Multiobjective metaheuristics
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