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On Some Actual Problems of Estimating Risk in Complex Systems under Insufficient Information

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Cybernetics and Systems Analysis Aims and scope

Abstract

The paper is a review of some actual problems of risk estimation in identification and control models simulating environmentally dangerous objects, and insurance of catastrophic risks. Main attention is paid to the studies performed at the V.M. Glushkov Institute of Cybernetics.

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REFERENCES

  1. R. E. Barlow and H. E. Lambert, “Introduction to fault tree analysis,” in: R. E. Barlow, I. B. Fussel, and N. D. Singpurwalla (eds.), Reliability and Fault Tree Analysis, SIAM, Fhiladelphia (1975), pp. 735.

    Google Scholar 

  2. I. B Fussel, “Computer aided fault tree construction for electrical systems,” in: R. E. Barlow, I. B. Fussel, and N. D. Singpurwalla (eds.), Reliability and Fault Tree Analysis, SIAM, Fhiladelphia (1975), pp. 37-56.

    Google Scholar 

  3. T. Konda, “Tinding modules in fault trees,” IEEE Trans. Reliability, R-38, 165-176 (1989).

    Google Scholar 

  4. N. Yu. Kuznetsov, “Fault trees-problems and the modern state of investigation,” Kibern. Sist. Analiz, No. 3, 128-150 (1994).

  5. W. Henningd and N. Kuznetsov, “Famocuth cuton: Programs for fast analysis of large fault trees with replicated negated gates,” IEEE Trans. Reliability, 44, No. 3, 366-376 (1995).

    Google Scholar 

  6. I. N. Kovalenko and N. Yu. Kuznetsov, Mathematical Theory of Reliability of Time-Dependent Systems with Practical Applications, Willey, Chichester (1997).

    Google Scholar 

  7. I. N. Kovalenko and N. Yu. Kuznetsov, Methods of Calculation of Highly Reliable Systems, Radio i Svyaz', Moscow (1988).

    Google Scholar 

  8. N. Yu. Kuznetsov, “General approach to deriving probability of failure-free operation of structurally complex systems by an analytical-statistical method,” Kibernetika, No. 3, 86-94 (1985).

  9. A. N. Golodnikov, P. S. Knopov, and S. P. Uryasev, “Optimization in the space of distribution functions and applications in the Bayes analysis,” in: Probabilistic Constrained Optimization, Kluwer Academic Publ. (2000), pp. 102-131.

  10. A. N. Golodnikov, P. S. Knopov, and V. A. Pepelyev, “Methods for calculating robust Bayesicen estimates of reliability parameters,” Proc. Esrel 2000, SAKS and SRA-Europe Annual Conference, Edinburg (2000), pp. 1625-1632.

    Google Scholar 

  11. A. N. Golodnikov, “The minimax approach to Bayesian estimation,” Issled. Oper., No. 7, 36-41 (1979).

  12. A. N. Golodnikov and L. S. Stoikova, “Estimation of some functionals characterizing reliability,” Kibernetika, No. 2, 113-119 (1978).

  13. “Climate change and increase in loss trend persist,” Press Release, Munich Re., 15.03.1999.

  14. I. V. Sergienko, V. M. Yanenko, and K. L. Atoev, “Conceptual framework for managing risk of ecological, technogenic, and sociogenic disasters,” Kibern. Sist. Analiz, No. 2, 65-86 (1997).

  15. Yu. M. Ermol'ev, T. Yu. Ermol'eva, G. McDonald, and V. I. Norkin, “Problems of insurance of catastrophic risks,” Kibern. Sist. Analiz, No. 2, 90-110 (2001).

  16. Yu. M. Ermoliev and R. J.-B. Wets (eds.), Numerical Techniques for Stochastic Optimization, Springer, Berlin (1988).

    Google Scholar 

  17. P. S. Knopov and E. I. Kasitskaya, Empirical Estimates in Stochastic Optimization and Identification, Kluwer Academic Publ., Dordrecht (2002).

    Google Scholar 

  18. Yu. M. Ermoliev, T. Yu. Ermolieva, G. J. Mac-Donald, and V. I. Norkin, “Optimization of catastrophic risk portfolios,” in: M. Bonilla et al. (eds.), Papers and Proc. 24th Meeting of Euro Working Group on Financial Modeling, Univ. de Valencia (Spain), IIASA Interim Report IR-98-056 (1999), pp. 251-269.

    Google Scholar 

  19. V. S. Mikhalevich, A. M. Gupal, and V. I. Norkin, Methods of Nonconvex Optimization [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  20. Yu. M. Ermoliev, V. I. Norkin, and R. J.-B. Wets, “The minimization of semicontinuous functions: molliver subgradients,” SIAM J. Control Opt., No. 1, 149-167 (1995).

  21. Yu. M. Ermoliev and V. I. Norkin, “Stochastic generalized gradient method for nonconvex nonsmooth stochastic optimization,” Kibern. Sist. Analiz, No. 2, 50-71 (1998).

  22. P. S. Knopov, “Markov fields and their application in economy,” Obch. Prykl. Matem., Issue 80, 33-46 (1996).

  23. R. K. Chorney, H. Daduna, and P. S. Knopov, “Controlled Markov fields with finite state space on graphs,” Preprint 2000-08, Inst. Math. Stochastic, University of Hamburg (2000).

    Google Scholar 

  24. H. Daduna, P. S. Knopov, and R. K. Chorney, “Local control of Markovian processes of interaction on a graph with a compact set of states,” Kibern. Sist. Analiz, No. 3, 62-77. (2001).

  25. R. K. Chorney, H. Daduna, and P. S. Knopov, “Controlled semi-Markov fields with graph-structured compact state space,” Preprint 2002-08, University of Hamburg (2002).

  26. V. S. Mikhalevich, “Sequential Bayesian solutions and optimal methods of statistical acceptance control,” Teor. Veroyatn Primen., 1, No. 4, 437-465 (1956).

    Google Scholar 

  27. V. S. Mikhalevich, “Methods of sequential optimization,” Kibernetika, No. 1, 45-57 (1965).

  28. A. Wald, The Sequential Analysis [Russian translation], Fizmatgiz, Moscow (1960).

    Google Scholar 

  29. R. Bellman, Dynamic Programming [Russian translation], Mir, Moscow (1960).

    Google Scholar 

  30. R. Howard, Programming and Markov Process, Technology Press and Wile (1960).

  31. O. V. Viskov and A. N. Shiryaev, “On the controls resulted in optimal stationary conditions,” Tr. MIAN im. V. A. Steklova, LXXXI, 35-45 (1964).

    Google Scholar 

  32. C. Derman, Finite State Markovian Decision Processes, N.Y.-London (1970).

  33. L. T. Gubenko and E. S. Shtatland, “Controlled Markovian processes with discrete time,” Teor. Veroyatn. Mat. Statist., 7, 51-64 (1972).

    Google Scholar 

  34. L. T. Gubenko and E. S. Shtatland, “Controlled semi-Markovian processes,” Kibernetika, No. 2, 26-29 (1972).

  35. N. Daduna, P. S. Knopov, and L. P. Tur, “Optimal strategies for an inventory system with cost functions of general form,” Kibern. Sist. Analiz, No. 4, 106-123 (1999).

  36. N. Daduna and P. S. Knopov, “Optimal admission control for M/D/1/K queuing systems,” Mathematical Methods of Operations Research, 50, No. 1, 91-100 (1999).

    Google Scholar 

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Authors and Affiliations

  1. National Academy of Sciences of Ukraine, V. M. Glushkov Institute of Cybernetics, Kiev, Ukraine

    P. S. Knopov & T. P. Maryanovich

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  1. P. S. Knopov
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  2. T. P. Maryanovich
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Knopov, P.S., Maryanovich, T.P. On Some Actual Problems of Estimating Risk in Complex Systems under Insufficient Information. Cybernetics and Systems Analysis 39, 576–585 (2003). https://doi.org/10.1023/B:CASA.0000003507.72579.91

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