Loading [MathJax]/jax/output/SVG/config.js
Sibirskii Zhurnal Vychislitel'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

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
Full-text PDF (491 kB) Citations (2)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/sjvm546
  • https://www.mathnet.ru/eng/sjvm/v17/i3/p245
    • This publication is cited in the following 2 articles:
    1. Stephan Dempe, Springer Optimization and Its Applications, 161, Bilevel Optimization, 2020, 581  crossref
    2. M. V. Barkova, “On generating nonconvex optimization test problems”, Mathematical Optimization Theory and Operations Research, Lecture Notes in Computer Science, 11548, eds. M. Khachay, Y. Kochetov, P. Pardalos, Springer, 2019, 21–33  crossref  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:202
    Full-text PDF :67
    References:41
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025