Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 5, Pages 54–66 (Mi da793)  
This article is cited in 9 scientific papers (total in 9 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 (9)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/da793
  • https://www.mathnet.ru/eng/da/v21/i5/p54
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
    Statistics & downloads:
    Abstract page:324
    Full-text PDF :119
    References:57
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024