A method for generating a well-distributed Pareto set in nonlinear multiobjective optimization
| dc.contributor.author | Utyuzhnikov, S. V. | - |
| dc.contributor.author | Fantini, Paolo | - |
| dc.contributor.author | Guenov, Marin D. | - |
| dc.date.accessioned | 2011-05-23T23:03:31Z | |
| dc.date.available | 2011-05-23T23:03:31Z | |
| dc.date.issued | 2009-01-15T00:00:00Z | - |
| dc.description.abstract | 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. | en_UK |
| dc.identifier.citation | S.V. Utyuzhnikov, P. Fantini and M.D. Guenov, A method for generating a well-distributed Pareto set in nonlinear multiobjective optimization, Journal of Computational and Applied Mathematics, Volume 223, Issue 2, 15 January 2009, Pages 820-841. | |
| dc.identifier.issn | 0377-0427 | - |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.cam.2008.03.011 | - |
| dc.identifier.uri | http://dspace.lib.cranfield.ac.uk/handle/1826/5417 | |
| dc.language.iso | en_UK | en_UK |
| dc.publisher | Elsevier Science B.V., Amsterdam. | en_UK |
| dc.rights | NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, VOL 223, ISSUE 2, (2009) DOI: 10.1016/j.cam.2008.03.011 | |
| dc.subject | Multiobjective optimization Pareto solution Pareto set Physical programming normal constraint method frontier | en_UK |
| dc.title | A method for generating a well-distributed Pareto set in nonlinear multiobjective optimization | en_UK |
| dc.type | Article | en_UK |