Towards an Estimation of Nadir Objective Vector Using a Hybrid of Evolutionary and Local Search Approaches
2010 (English)In: IEEE Transactions on Evolutionary Computation, ISSN 1089-778X, E-ISSN 1941-0026, Vol. 14, no 6, 821-841 p.Article in journal (Refereed) Published
Nadir objective vector is constructed with the worst Pareto-optimal objective values in a multi-objective optimization problem and is an important entity to compute because of its importance in estimating the range of objective values in the Pareto-optimal front and also in using many interactive multi- objective optimization techniques. It is needed, for example, for normalizing purposes. The task of estimating the nadir objec- tive vector necessitates information about the complete Pareto- optimal front and is reported to be a difficult task using other approaches. In this paper, we propose certain modifications to an existing evolutionary multi-objective optimization procedure to focus its search towards the extreme objective values and combine it with a reference-point based local search approach to constitute a couple of hybrid procedures for a reliable estimation of the nadir objective vector. With up to 20-objective optimization test problems and on a three-objective engineering design optimization problem, the proposed procedures are found to be capable of finding a near nadir objective vector reliabl y. The study clearly shows the significance of an evolutionary comp uting based search procedure in assisting to solve an age-old important task of nadir objective vector estimation.
Place, publisher, year, edition, pages
IEEE , 2010. Vol. 14, no 6, 821-841 p.
Decision making, Estimation, Minimization, Optimization, Pareto optimization, Search problems
IdentifiersURN: urn:nbn:se:kth:diva-74010DOI: 10.1109/TEVC.2010.2041667ISI: 000285059500001ScopusID: 2-s2.0-78649814618OAI: oai:DiVA.org:kth-74010DiVA: diva2:489244
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QC 201202102012-02-102012-02-022012-02-10Bibliographically approved