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Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 6, Pages 905–918 (Mi zvmmf10044)  

This article is cited in 4 scientific papers (total in 4 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

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.

DOI: https://doi.org/10.7868/S0044466914060039

Full text: PDF file (337 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2014, 54:6, 919–930

Bibliographic databases:

UDC: 519.658
MSC: 90C29 (90C59)
Received: 15.05.2013

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

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Lotov, A. I. Ryabikov, “Mnogokriterialnyi sintez optimalnogo upravleniya i ego primenenie pri postroenii pravil upravleniya kaskadom gidroelektrostantsii”, Tr. IMM UrO RAN, 20, no. 4, 2014, 187–203  mathnet  mathscinet  elib
    2. A. V. Lotov, “New external estimate for the reachable set of a nonlinear multistep dynamic system”, Comput. Math. Math. Phys., 58:2 (2018), 196–206  mathnet  crossref  crossref  isi  elib
    3. I. Kaliszewski, J. Miroforidis, “On upper approximations of Pareto fronts”, J. Glob. Optim., 72:3 (2018), 475–490  crossref  mathscinet  isi  scopus
    4. M. V. Bolgov, A. L. Buber, A. V. Lotov, “Support for making strategic decisions on the water supply of the lower Volga River based on the Pareto frontier visualization”, Sci. Tech. Inf. Process., 45:5 (2018), 297–306  crossref  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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