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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 6, Pages 1326–1340 (Mi zvmmf4471)  

This article is cited in 2 scientific papers (total in 2 papers)

On regularization of lexicographic problems by the method of minimum concessions

V. N. Nefedov

Moscow
Abstract: A method of regularizing multistage lexicographic problems, based on the introduction of “concessions”, is studied, The class of lexicographic problems is determined, for which the method of concessions is regularizing with minimal tolerable concessions with respect to the criteria. For convex piecewise polynomial lexicographic problems, an estimate is obtained for the deviation of the regularized from the true solution.
Received: 28.01.1982
Revised: 21.10.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 6, Pages 27–36
DOI: https://doi.org/10.1016/S0041-5553(83)80072-X
Bibliographic databases:
Document Type: Article
UDC: 519.85
MSC: Primary 90B50; Secondary 41A65
Language: Russian
Citation: V. N. Nefedov, “On regularization of lexicographic problems by the method of minimum concessions”, Zh. Vychisl. Mat. Mat. Fiz., 23:6 (1983), 1326–1340; U.S.S.R. Comput. Math. Math. Phys., 23:6 (1983), 27–36
Citation in format AMSBIB
\Bibitem{Nef83}
\by V.~N.~Nefedov
\paper On regularization of lexicographic problems by the method of minimum concessions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 6
\pages 1326--1340
\mathnet{http://mi.mathnet.ru/zvmmf4471}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=731238}
\zmath{https://zbmath.org/?q=an:0546.90048}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 6
\pages 27--36
\crossref{https://doi.org/10.1016/S0041-5553(83)80072-X}
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  • https://www.mathnet.ru/eng/zvmmf/v23/i6/p1326
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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