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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 6, Pages 905–918
DOI: https://doi.org/10.7868/S0044466914060039 (Mi zvmmf10044) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Study of hybrid methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems

V. E. Berezkin, A. V. Lotov, E. A. Lotova

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
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DOI: https://doi.org/10.7868/S0044466914060039
Abstract: Methods for approximating the Edgeworth–Pareto hull (EPH) of the set of feasible criteria vectors in nonlinear multicriteria optimization problems are examined. The relative efficiency of two EPH approximation methods based on classical methods of searching for local extrema of convolutions of criteria is experimentally studied for a large-scale applied problem (with several hundred variables). A hybrid EPH approximation method combining classical and genetic approximation methods is considered.
Key words: nonlinear multicriteria optimization, Pareto frontier, Edgeworth–Pareto hull, hybrid approximation methods, genetic method.
Received: 15.05.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 6, Pages 919–930
DOI: https://doi.org/10.1134/S0965542514060037
Bibliographic databases:
Document Type: Article
UDC: 519.658
MSC: 90C29 (90C59)
Language: Russian
Citation: V. E. Berezkin, A. V. Lotov, E. A. Lotova, “Study of hybrid methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 905–918; Comput. Math. Math. Phys., 54:6 (2014), 919–930
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:55
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