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Matematicheskoe modelirovanie, 2002, Volume 14, Number 12, Pages 48–54 (Mi mm515)  

Convergence examples for discrete approximations to a multidimensional Pareto set

I. M. Sobol', E. E. Myshetskaya

Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (472 kB) (1)
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Abstract: In the $n$-dimensional space, a multicriteria problem with $n$ objective functions is considered. Discrete approximations to the Pareto set converge as $N^{-1/n}$ where $N$ is the number of trial points.
Received: 14.12.2001
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Language: Russian
Citation: I. M. Sobol', E. E. Myshetskaya, “Convergence examples for discrete approximations to a multidimensional Pareto set”, Matem. Mod., 14:12 (2002), 48–54
Citation in format AMSBIB
\Bibitem{SobMys02}
\by I.~M.~Sobol', E.~E.~Myshetskaya
\paper Convergence examples for discrete approximations to a multidimensional Pareto set
\jour Matem. Mod.
\yr 2002
\vol 14
\issue 12
\pages 48--54
\mathnet{http://mi.mathnet.ru/mm515}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1989795}
\zmath{https://zbmath.org/?q=an:1114.90462}
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  • https://www.mathnet.ru/eng/mm515
  • https://www.mathnet.ru/eng/mm/v14/i12/p48
  • This publication is cited in the following 1 articles:
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    Математическое моделирование
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    Abstract page:387
    Full-text PDF :127
    References:36
    First page:1
     
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