Bulletin of Irkutsk State University. Series Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Bulletin of Irkutsk State University. Series Mathematics:
Year:
Volume:
Issue:
Page:
Find






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


Bulletin of Irkutsk State University. Series Mathematics, 2011, Volume 4, Issue 1, Pages 73–82 (Mi iigum95)  

Global search for guaranteed solutions in quadratic-linear bilevel optimization problems

A. V. Malyshev, A. S. Strekalovsky

Institute for Systems Dynamic and Control Theory of Siberian Branch of Russian Acedemy of Sciences, 134, Lermontov St., Irkutsk, 664033
References:
Abstract: A quadratic-linear bilevel optimization problem with guaranteed (pessimistic) solution is considered. It is reduced to a series of optimistic bilevel optimization problems, which are further reduced to nonconvex optimization problems. Global and local search algorithms for the latter problems are developed. The results of computational solving randomly generated test problems are given and analyzed.
Keywords: Bilevel optimization, Pessimistic solution, Nonconvex optimization problems, Local search, Global search, Computational simulation.
Document Type: Article
UDC: 519.853.4
Language: Russian
Citation: A. V. Malyshev, A. S. Strekalovsky, “Global search for guaranteed solutions in quadratic-linear bilevel optimization problems”, Bulletin of Irkutsk State University. Series Mathematics, 4:1 (2011), 73–82
Citation in format AMSBIB
\Bibitem{MalStr11}
\by A.~V.~Malyshev, A.~S.~Strekalovsky
\paper Global search for guaranteed solutions in quadratic-linear bilevel optimization problems
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2011
\vol 4
\issue 1
\pages 73--82
\mathnet{http://mi.mathnet.ru/iigum95}
Linking options:
  • https://www.mathnet.ru/eng/iigum95
  • https://www.mathnet.ru/eng/iigum/v4/i1/p73
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024