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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2013 Volume 53, Number 2, Pages 209–224 (Mi zvmmf9777)

This article is cited in 34 papers

Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy

Yu. G. Evtushenko, M. A. Posypkin

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: The nonuniform covering method is applied to multicriteria optimization problems. The $\varepsilon$-Pareto set is defined, and its properties are examined. An algorithm for constructing an $\varepsilon$-Pareto set with guaranteed accuracy $\varepsilon$ is described. The efficiency of implementing this approach is discussed, and numerical results are presented.

Key words: multicriteria optimization, nonuniform covering method, guaranteed accuracy, $\varepsilon$-Pareto set.

UDC: 519.658

Received: 08.08.2012

DOI: 10.7868/S0044466913020087


 English version:
Computational Mathematics and Mathematical Physics, 2013, 53:2, 144–157

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