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Diskretn. Anal. Issled. Oper., 2014, Volume 21, Number 5, Pages 54–66 (Mi da793)  

This article is cited in 3 scientific papers (total in 3 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

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.

Full text: PDF file (265 kB)
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English version:
Journal of Applied and Industrial Mathematics, 2014, 8:4, 574–581

Bibliographic databases:

UDC: 519.87+519.854
Received: 15.10.2013
Revised: 29.01.2014

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://www.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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. A. Kochetov, A. A. Panin, A. V. Plyasunov, “Comparison of metaheuristics for the bilevel facility location and mill pricing problem”, J. Appl. Industr. Math., 9:3 (2015), 392–401  mathnet  crossref  crossref  mathscinet  elib
    2. S. M. Lavlinskii, A. A. Panin, A. V. Plyasunov, “Modeli Shtakelberga v territorialnom planirovanii”, Avtomat. i telemekh., 2019, no. 2, 111–124  mathnet  crossref  elib
    3. A. V. Kononov, A. A. Panin, A. V. Plyasunov, “A bilevel competitive location and pricing model with nonuniform split of demand”, J. Appl. Industr. Math., 13:3 (2019), 500–510  mathnet  crossref  crossref
  • Дискретный анализ и исследование операций
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