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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2005, Volume 45, Number 5, Pages 824–845 (Mi zvmmf655)  
This article is cited in 3 scientific papers (total in 3 papers)

Constructing the set of effective vectors by the method of $\varepsilon$ perturbations

Ya. I. Rabinovich

Dorodnicyn Computing Center Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (2211 kB) Citations (3)
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Abstract: Multicriteria (vector) optimization is examined under assumptions that are conventional for the classical problem of constrained optimization. The method of $\varepsilon$ perturbations is used to construct a sequence of sets converging to a set that contains all the effective vectors and does not contain vectors distinct from weakly effective ones.
Key words: multicriteria optimization, method of $\varepsilon$ perturbations, effective vectors, weakly effective vectors.
Received: 14.10.2004
Bibliographic databases:
Document Type: Article
UDC: 519.6:519.8
Language: Russian
Citation: Ya. I. Rabinovich, “Constructing the set of effective vectors by the method of $\varepsilon$ perturbations”, Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005), 824–845; Comput. Math. Math. Phys., 45:5 (2005), 794–815
Citation in format AMSBIB
\Bibitem{Rab05}
\by Ya.~I.~Rabinovich
\paper Constructing the set of effective vectors by the method of $\varepsilon$ perturbations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2005
\vol 45
\issue 5
\pages 824--845
\mathnet{http://mi.mathnet.ru/zvmmf655}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2190078}
\zmath{https://zbmath.org/?q=an:1093.46044}
\transl
\jour Comput. Math. Math. Phys.
\yr 2005
\vol 45
\issue 5
\pages 794--815
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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