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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 5, Pages 54–66 (Mi da793)  
This article is cited in 8 scientific papers (total in 8 papers)

On complexity of bilevel problems of location and pricing

A. A. Paninab, A. V. Plyasunovab

a S. L. Sobolev Institute of Mathematics, SB RAS, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
Full-text PDF (265 kB) Citations (8)
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Abstract: We study complexity of bilevel problems with different pricing strategies: uniform, mill and discriminatory. It is shown that these problems are NP-hard in the strong sense, belong to Poly-APX class and are complete in its relative AP-reducibility. Bibliogr. 17.
Keywords: bilevel problem, location, pricing, computational and approximation complexity, NP-hard in the strong sense, AP-reducibility, Poly-APX-completeness.
Received: 15.10.2013
Revised: 29.01.2014
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 4, Pages 574–581
DOI: https://doi.org/10.1134/S1990478914040152
Bibliographic databases:
Document Type: Article
UDC: 519.87+519.854
Language: Russian
Citation: A. A. Panin, A. V. Plyasunov, “On complexity of bilevel problems of location and pricing”, Diskretn. Anal. Issled. Oper., 21:5 (2014), 54–66; J. Appl. Industr. Math., 8:4 (2014), 574–581
Citation in format AMSBIB
\Bibitem{PanPly14}
\by A.~A.~Panin, A.~V.~Plyasunov
\paper On complexity of bilevel problems of location and pricing
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 5
\pages 54--66
\mathnet{http://mi.mathnet.ru/da793}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3328837}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 4
\pages 574--581
\crossref{https://doi.org/10.1134/S1990478914040152}
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  • https://www.mathnet.ru/eng/da/v21/i5/p54
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :104
    References:49
    First page:15
     
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