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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 2, Pages 237–254 (Mi zvmmf180)  
This article is cited in 21 scientific papers (total in 21 papers)

Numerical solution of bilinear programming problems

A. V. Orlov

Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, pr. Lermontova 134, Irkutsk, 664033, Russia
Full-text PDF (2611 kB) Citations (21)
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Abstract: A bilinear programming problem with uncoupled variables is considered. First, a special technique for generating test bilinear problems is considered. Approximate algorithms for local and global search are proposed. Asymptotic convergence of these algorithms is analyzed, and stopping rules are proposed. In conclusion, numerical results for randomly generated bilinear problems are presented and analyzed.
Key words: nonconvex optimization, bilinear programming, test problem generation, local search, critical point, stopping rule, global search, numerical experiment.
Received: 29.03.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 2, Pages 225–241
DOI: https://doi.org/10.1007/s11470-008-2006-2
Bibliographic databases:
Document Type: Article
UDC: 519.653.4
Language: Russian
Citation: A. V. Orlov, “Numerical solution of bilinear programming problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 237–254; Comput. Math. Math. Phys., 48:2 (2008), 225–241
Citation in format AMSBIB
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    • This publication is cited in the following 21 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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    References:78
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