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Dokl. Akad. Nauk SSSR, 1986, Volume 291, Number 1, Pages 25–29 (Mi dan8384)  

This article is cited in 13 scientific papers (total in 14 papers)

MATHEMATICS

Methods for the numerical solution of multicriteria problems

Yu. G. Evtushenko, M. A. Potapov

Computing Centre, USSR Academy of Sciences, Moscow

Full text: PDF file (655 kB)

Bibliographic databases:
UDC: 519.6
Presented: Н. Н. Моисеев
Received: 17.06.1985

Citation: Yu. G. Evtushenko, M. A. Potapov, “Methods for the numerical solution of multicriteria problems”, Dokl. Akad. Nauk SSSR, 291:1 (1986), 25–29

Citation in format AMSBIB
\Bibitem{EvtPot86}
\by Yu.~G.~Evtushenko, M.~A.~Potapov
\paper Methods for the numerical solution of multicriteria problems
\jour Dokl. Akad. Nauk SSSR
\yr 1986
\vol 291
\issue 1
\pages 25--29
\mathnet{http://mi.mathnet.ru/dan8384}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=867130}
\zmath{https://zbmath.org/?q=an:0646.90078}


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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. N. M. Popov, “Two-level global and multicriterion search schemes”, U.S.S.R. Comput. Math. Math. Phys., 31:10 (1991), 26–37  mathnet  mathscinet  zmath  isi
    2. V. E. Berezkin, G. K. Kamenev, A. V. Lotov, “Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier”, Comput. Math. Math. Phys., 46:11 (2006), 1918–1931  mathnet  crossref  mathscinet
    3. Yu. G. Evtushenko, V. U. Malkova, A.-I. A. Stanevichyus, “Parallelization of the global extremum searching process”, Autom. Remote Control, 68:5 (2007), 787–798  mathnet  crossref  mathscinet  zmath
    4. Yu. G. Evtushenko, V. U. Malkova, A.-I. A. Stanevichyus, “Parallel global optimization of functions of several variables”, Comput. Math. Math. Phys., 49:2 (2009), 246–260  mathnet  crossref  mathscinet  zmath  isi
    5. M. K. Kerimov, “The 70th birthday of Academician Yurii Gavrilovich Evtushenko”, Comput. Math. Math. Phys., 49:10 (2009), 1653–1661  mathnet  crossref  isi
    6. G. K. Kamenev, “Study of an adaptive single-phase method for approximating the multidimensional Pareto frontier in nonlinear systems”, Comput. Math. Math. Phys., 49:12 (2009), 2006–2016  mathnet  crossref  isi  elib  elib
    7. Yu. G. Evtushenko, M. A. Posypkin, “An application of the nonuniform covering method to global optimization of mixed integer nonlinear problems”, Comput. Math. Math. Phys., 51:8 (2011), 1286–1298  mathnet  crossref  mathscinet  isi
    8. V. E. Berezkin, G. K. Kamenev, “Convergence analysis of two-phase methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems”, Comput. Math. Math. Phys., 52:6 (2012), 846–854  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    9. Yu. G. Evtushenko, M. A. Posypkin, “Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy”, Comput. Math. Math. Phys., 53:2 (2013), 144–157  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    10. G. K. Kamenev, “Study of convergence rate and efficiency of two-phase methods for approximating the Edgeworth–Pareto hull”, Comput. Math. Math. Phys., 53:4 (2013), 375–385  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    11. Yu. G. Evtushenko, M. A. Posypkin, “Method of non-uniform coverages to solve the multicriteria optimization problems with guaranteed accuracy”, Autom. Remote Control, 75:6 (2014), 1025–1040  mathnet  crossref  isi
    12. V. E. Berezkin, A. V. Lotov, E. A. Lotova, “Study of hybrid methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems”, Comput. Math. Math. Phys., 54:6 (2014), 919–930  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    13. A. V. Lotov, A. I. Ryabikov, “Mnogokriterialnyi sintez optimalnogo upravleniya i ego primenenie pri postroenii pravil upravleniya kaskadom gidroelektrostantsii”, Tr. IMM UrO RAN, 20, no. 4, 2014, 187–203  mathnet  mathscinet  elib
    14. V. E. Berezkin, A. V. Lotov, “Comparison of two Pareto frontier approximations”, Comput. Math. Math. Phys., 54:9 (2014), 1402–1410  mathnet  crossref  crossref  mathscinet  isi  elib  elib
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