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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 3, Pages 245–257 (Mi sjvm546)  
This article is cited in 2 scientific papers (total in 2 papers)

The test problem generation for quadratic-linear pessimistic bilevel optimization

A. V. Orlova, A. V. Malyshevb

a Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, 134 Lermontov str., Irkutsk, 664033, Russia
b Luxand, Inc., 901 N. Pitt str. Suite 325 Alexandria, VA 22314 USA
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Abstract: The generation method of quadratic-linear bilevel optimization test problems in a pessimistic formulation is proposed and justified. The propositions about the exact form and the number of local and global pessimistic solutions in generated problems are proved.
Key words: test problem generation, bilevel optimization, guaranteed (pessimistic) solution, kernel problems.
Received: 15.05.2013
English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 3, Pages 204–214
DOI: https://doi.org/10.1134/S1995423914030033
Bibliographic databases:
Document Type: Article
UDC: 519.853.4
Language: Russian
Citation: A. V. Orlov, A. V. Malyshev, “The test problem generation for quadratic-linear pessimistic bilevel optimization”, Sib. Zh. Vychisl. Mat., 17:3 (2014), 245–257; Num. Anal. Appl., 7:3 (2014), 204–214
Citation in format AMSBIB
\Bibitem{OrlMal14}
\by A.~V.~Orlov, A.~V.~Malyshev
\paper The test problem generation for quadratic-linear pessimistic bilevel optimization
\jour Sib. Zh. Vychisl. Mat.
\yr 2014
\vol 17
\issue 3
\pages 245--257
\mathnet{http://mi.mathnet.ru/sjvm546}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409484}
\transl
\jour Num. Anal. Appl.
\yr 2014
\vol 7
\issue 3
\pages 204--214
\crossref{https://doi.org/10.1134/S1995423914030033}
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