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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 1, Pages 75–88 (Mi sjvm269)  
This article is cited in 10 scientific papers (total in 10 papers)

A local search for the quadratic-linear bilevel programming problem

A. S. Strekalovsky, A. V. Orlov, A. V. Malyshev

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (259 kB) Citations (10)
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Abstract: The quadratic-linear bilevel programming problem is considered. Its optimistic statement is reduced to a non-convex mathematical programming problem with the quadratic-bilinear structure. An approximate algorithm of a local search in the problem obtained is proposed, proved and tested.
Key words: bilevel programming, optimistic solution, non-convex optimization problems, local search, test problems generating, computational simulation.
Received: 25.06.2009
Revised: 09.10.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 1, Pages 59–70
DOI: https://doi.org/10.1134/S1995423910010076
Bibliographic databases:
Document Type: Article
UDC: 519.853.4
Language: Russian
Citation: A. S. Strekalovsky, A. V. Orlov, A. V. Malyshev, “A local search for the quadratic-linear bilevel programming problem”, Sib. Zh. Vychisl. Mat., 13:1 (2010), 75–88; Num. Anal. Appl., 3:1 (2010), 59–70
Citation in format AMSBIB
\Bibitem{StrOrlMal10}
\by A.~S.~Strekalovsky, A.~V.~Orlov, A.~V.~Malyshev
\paper A local search for the quadratic-linear bilevel programming problem
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 1
\pages 75--88
\mathnet{http://mi.mathnet.ru/sjvm269}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 1
\pages 59--70
\crossref{https://doi.org/10.1134/S1995423910010076}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952222900}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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    References:60
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