Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


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




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 2, Pages 209–224
DOI: https://doi.org/10.7868/S0044466913020087 (Mi zvmmf9777) 		 
This article is cited in 34 scientific papers (total in 34 papers)

Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy

Yu. G. Evtushenko, M. A. Posypkin

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (301 kB) Citations (34)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466913020087
Abstract: The nonuniform covering method is applied to multicriteria optimization problems. The $\varepsilon$-Pareto set is defined, and its properties are examined. An algorithm for constructing an $\varepsilon$-Pareto set with guaranteed accuracy $\varepsilon$ is described. The efficiency of implementing this approach is discussed, and numerical results are presented.
Key words: multicriteria optimization, nonuniform covering method, guaranteed accuracy, $\varepsilon$-Pareto set.
Received: 08.08.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 2, Pages 144–157
DOI: https://doi.org/10.1134/S0965542513020061
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: Yu. G. Evtushenko, M. A. Posypkin, “Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 209–224; Comput. Math. Math. Phys., 53:2 (2013), 144–157
Citation in format AMSBIB
\Bibitem{EvtPos13}
\by Yu.~G.~Evtushenko, M.~A.~Posypkin
\paper Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 2
\pages 209--224
\mathnet{http://mi.mathnet.ru/zvmmf9777}
\crossref{https://doi.org/10.7868/S0044466913020087}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3249021}
\zmath{https://zbmath.org/?q=an:06188967}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013CMMPh..53..144E}
\elib{https://elibrary.ru/item.asp?id=18737265}
\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 2
\pages 144--157
\crossref{https://doi.org/10.1134/S0965542513020061}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000315491100002}
\elib{https://elibrary.ru/item.asp?id=20431766}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874532284}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9777
  • https://www.mathnet.ru/eng/zvmmf/v53/i2/p209
    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:879
    Full-text PDF :238
    References:91
    First page:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024