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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 10, Pages 1715–1726 (Mi zvmmf4943)  
This article is cited in 14 scientific papers (total in 14 papers)

Numerical solution of a linear bilevel problem

T. V. Gruzdeva, E. G. Petrova

Institute of Dynamical Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033 Russia
Full-text PDF (256 kB) Citations (14)
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Abstract: The linear bilevel programming problem in the optimistic formulation is studied. It is reduced to an optimization problem with a nonconvex constraint in the form of a d.c. function (that is, the difference of two convex functions). For this problem, local and global search methods are developed. Numerical experiments performed for numerous specially generated problems, including large-scale ones, demonstrate the efficiency of the proposed approach.
Key words: linear bilevel problem, optimistic solution, problem with d.c. inequality, local search, global search, numerical experiment.
Received: 05.02.2010
Revised: 13.05.2010
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 10, Pages 1631–1641
DOI: https://doi.org/10.1134/S0965542510100015
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: T. V. Gruzdeva, E. G. Petrova, “Numerical solution of a linear bilevel problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:10 (2010), 1715–1726; Comput. Math. Math. Phys., 50:10 (2010), 1631–1641
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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