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Adaptive optimization of the Monte-Carlo method

  • Systems Analysis
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References

  1. S. M. Ermakov, Monte-Carlo Method and Related Topics [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  2. I. N. Kovalenko and N. Yu. Kuznetsov, Computational Methods for High-Reliability Systems [in Russian], Radio i Svyaz', Moscow (1988).

    Google Scholar 

  3. G. A. Mikhailov, Optimization of Weighted Monte-Carlo Methods [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  4. E. L. Pugh, “A gradient technique of adaptive Monte Carlo,” SIAM Rev.,8, No. 3, 346–355 (1966).

    MATH  MathSciNet  Google Scholar 

  5. E. S. Troubetzkoy, “Optimization of linear Monte Carlo calculation,” Nucl. Sci. Eng.,107, No. 4, 359–364 (1991).

    Google Scholar 

  6. V. D. Shpak, “Unbiased estimators for solving linear integral equation of second kind and their application to computing reliability characteristics of semi-Markov systems,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 10, 81–84 (1989).

    MATH  MathSciNet  Google Scholar 

  7. Ya. Z. Tsipkin, A. V. Nazin, and A. S. Poznyak, “Adaptive finite systems,” Itogi Nauki i Tekhniki, Ser. Tekhn. Kibern., Vol. 19, pp. 69–142, VINITI, Moscow (1986).

    Google Scholar 

  8. Yu. M. Ermol'ev, Stochastic Programming Methods [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  9. B. T. Polyak, An Introduction to Optimization [in Russian], Nauka, Moscow (1983).

    Google Scholar 

  10. A. N. Nakonechnyi, “Probabilistic-theoretical generalization of the Lyapunov second method,” Kibern. Sist. Analiz, No. 1, 73–86 (1993).

    Google Scholar 

  11. M. Bazaraa and C. M. Shetty, Nonlinear Programming: Theory and Algorithms [Russian translation], Mir, Moscow (1982).

    Google Scholar 

  12. M. T. Wasan, Stochastic Approximation [Russian translation], Nauka, Moscow (1972).

    Google Scholar 

  13. V. G. Karmanov, Mathematical Programming [in Russian], Nauka, Moscow (1986).

    Google Scholar 

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Additional information

The research was financed under project I/348 by the State Basic Research Fund of the Ukrainian State Committee of Science and Technology.

Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 51–58, January–February, 1994.

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Nakonechnyi, A.N., Shpak, V.D. Adaptive optimization of the Monte-Carlo method. Cybern Syst Anal 30, 34–40 (1994). https://doi.org/10.1007/BF02366360

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  • DOI: https://doi.org/10.1007/BF02366360

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