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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 2, Pages 201–212 (Mi sjvm277)  
This article is cited in 13 scientific papers (total in 13 papers)

Numerical solution of a class of bilevel programming problems

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 (242 kB) Citations (13)
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Abstract: The quadratic-linear bilevel programming problem is considered. Its optimistic statement is reduced to a series of non-convex mathematical programming problems. An approximate algorithm of the global search in the problems obtained is proposed. Numerical solutions of randomly generated test problems are given and analyzed.
Key words: bilevel programming, optimistic solution, non-convex optimization problems, global search, computational simulation.
Received: 25.06.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 2, Pages 165–173
DOI: https://doi.org/10.1134/S1995423910020059
Bibliographic databases:
Document Type: Article
UDC: 519.853.4
Language: Russian
Citation: A. S. Strekalovsky, A. V. Orlov, A. V. Malyshev, “Numerical solution of a class of bilevel programming problems”, Sib. Zh. Vychisl. Mat., 13:2 (2010), 201–212; Num. Anal. Appl., 3:2 (2010), 165–173
Citation in format AMSBIB
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\by A.~S.~Strekalovsky, A.~V.~Orlov, A.~V.~Malyshev
\paper Numerical solution of a~class of bilevel programming problems
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 2
\pages 201--212
\mathnet{http://mi.mathnet.ru/sjvm277}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 2
\pages 165--173
\crossref{https://doi.org/10.1134/S1995423910020059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953530160}
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    • This publication is cited in the following 13 articles:
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