A method for generating a well-distributed Pareto set in nonlinear multiobjective optimization

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:223

Article

Utyuzhnikov, S. V.^1,2  Fantini, P.²  Guenov, M. D.² 

[1] Univ Manchester, Sch Mech Aerosp & Civil Engn, Manchester M60 1QD, Lancs, England

[2] Cranfield Univ, Sch Engn, Dept Aerosp Engn, Cranfield MK43 0AL, Beds, England

关键词: Multiobjective optimization;    Pareto solution;    Pareto set;    Physical programming;   

DOI  :  10.1016/j.cam.2008.03.011

来源: Elsevier

【 摘 要 】

A method is presented for generating a well-distributed Pareto set in nonlinear multiobjective optimization. The approach shares conceptual similarity with the Physical Programming-based method, the Normal-Boundary Intersection and the Normal Constraint methods, in its systematic approach investigating the objective space in order to obtain a well-distributed Pareto set. The proposed approach is based on the generalization of the class functions which allows the orientation of the search domain to be conducted in the objective space. It is shown that the proposed modification allows the method to generate an even representation of the entire Pareto surface. The generation is performed for both convex and nonconvex Pareto frontiers. A simple algorithm has been proposed to remove local Pareto solutions. The suggested approach has been verified by several test cases, including the generation of both convex and concave Pareto frontiers. (C) 2008 Elsevier B.V. All rights reserved.

【 授权许可】

Free