Abstract
We consider a class of systems whose required performance is described by a stochastic process η(t), t ≥ 0. An accelerated simulation method is proposed for estimating the probability that at some time instant t ∈ [0, T] the required performance exceeds the available performance. A numerical example is considered.
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Literature Cited
I. N. Kovalenko, "Asymptotic method of reliability analysis of complex systems," in: Reliability of Complex Technical Systems [in Russian], Sovetskoe Radio, Moscow (1967), pp. 205–223.
I. N. Kovalenko, Studies in Reliability Analysis of Complex Systems [in Russian], Naukova Dumka, Kiev (1975).
I. N. Kovalenko, Analysis of Rare Events in Estimation of System Performance and Reliability [in Russian], Sovetskoe Radio, Moscow (1980).
I. N. Kovalenko, "Computing the characteristics of highly reliable systems by analytical-statistical method," Élektron. Model.,2, No. 4, 5–8 (1980).
V. D. Shpak, "Estimating the termination probability of a regeneration process during a fixed time by simulation method," Kibernetika, No. 1, 75–79 (1983).
L. A. Zavadskaya, "An approach to accelerated simulation of systems with redundancy," Élektron. Model.,6, No. 3, 57–60 (1984).
N. Yu. Kuznetsov, "A general approach to estimating the failfree probability of structurally complex systems by analytical-statistical method," Kibernetika, No. 3, 86–94 (1985).
A. N. Nakonechnyi, "On representation of failfree probability of a system as the average of the w-functional of a terminating Markov process," Kibernetika, No. 5, 91–94 (1985).
N. Yu. Kuznetsov, "Computing the on-line availability of a system with repair by analytical-statistical method," Kibernetika, No. 5, 95–101 (1985).
V. G. Krivutsa, "Determining the failfree probability of high-reliability systems by analytical-statistical method," in: Theory of Complex Systems and Methods of Their Modeling [in Russian], VNIISI, Moscow (1985), pp. 142–148.
O. T. Mar'yanovich, "Estimating the nonstationary availability of complex systems with reparable elements by analytical-statistical method," Kibernetika, No. 2, 87–91 (1987).
I. N. Kovalenko and N. Yu. Kuznetsov, Comptation Methods for High-Reliability Systems [in Russian], Radio i Svyaz’, Moscow (1988).
A. I. Klemin, V. S. Emel'yanov, and V. B. Morozov, Computing the Reliability of Nuclear Power Plants. Markov Model [in Russian], Énergoizdat, Moscow (1982).
A. N. Nakonechnyi, "A class of systems with variable operation," in: Analysis of Reliability of Complex Systems by Analytical-Statistical Method [in Russian], Preprint Inst. Kiber., Akad. Nauk UkrSSR: 82-2, Kiev (1982), pp. 3–9.
N. Yu. Kuznetsov, "Reliability analysis of complex systems with variable operation," Issled. Operat. ASU, No. 24, 14–27 (1984).
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 30–41, July–August, 1991.
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Kuznetsov, N.Y. Accelerated simulation method for estimating the probability of functional failure in high-reliability systems. Cybern Syst Anal 27, 497–508 (1991). https://doi.org/10.1007/BF01130358
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DOI: https://doi.org/10.1007/BF01130358