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An Improvement to the Total Hazard Method for System Reliability Simulation

Published online by Cambridge University Press:  27 July 2009

Héctor Cancela  and
Mohamed El Khadiri
Héctor Cancela
Affiliation:
IRISA, Campus Universitaire de Beaulieu, 35042 Rennes CEDEX, France and Inv. Operativa-lnCo-PeDeCiBa, Facultad de Ingenieria,, CP 11300 Montevideo, Uruguay
Mohamed El Khadiri
Affiliation:
IRISA, Campus Universitaire de Beaulieu, 35042 Rennes CEDEX, France and Département Gestion Logistique et Transport, Institut Universitaire de Technologie, 58 rue Michel Ange, 44606 Saint-Nazaire, France
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Abstract

The total hazard Monte Carlo estimator has been successfully applied to estimate the unreliability of multicomponent systems. Nevertheless, there are some cases where it is less efficient than the crude estimator. We propose in this paper a simple modification that improves the performance of the total hazard estimator.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 10 , Issue 2 , April 1996 , pp. 187 - 196
Copyright
Copyright © Cambridge University Press 1996

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References

1.Ball, M.O. (1986). Computational complexity of network reliability analysis: An overview. IEEE Transactions on Reliability R-35(3): 230–239.CrossRefGoogle Scholar
2.Barlow, B.E. & Proschan, F. (1975). Statistical theory of reliability and life testing. New York: Holt, Rinehart & Winston.Google Scholar
3.El Khadiri, M. (1992). Evaluation directe et par simulation d'indices de fiabilité de réseaux de communication: Algorithmes séquentiels et dédiés à des architectures à mémoire distributée [Direct evaluation and simulation of communication network reliability parameters: Sequential and memory distributed parallel algorithms]. Ph.D. thesis, Rennes I, Campus de Beaulieu, 35042 Rennes, France.Google Scholar
4.El Khadiri, M. & Rubino, G. (1992). Reliability evaluation of communication networks. In SAFECOMP '92, International Conference on Safety, Security and Reliability of Computers. Zurich, pp. 279–283.Google Scholar
5.Jun, C.H. & Ross, S.M. (1992). System reliability by simulation: Random hazards versus importance sampling. Probability in the Engineering and Informational Sciences 6: 119–126.CrossRefGoogle Scholar
6.Ross, S.M. (1990). Variance reduction in simulation via random hazards. Probability in the Engineering and Informational Sciences 4: 199–309.Google Scholar
7.Ross, S.M. (1994). A new simulation estimator of system reliability. Journal of Applied Mathematics and Stochastic Analysis 7(4): 331–336.CrossRefGoogle Scholar