An improved Monte Carlo method in fault tree analysis

Proceedings - Annual Reliability and Maintainability Symposium

Volumn , Issue , 2010, Pages

  Yevkin, Olexandr ^a  

^a Dyadem International Ltd   (Canada)

Author keywords

Fault tree; Monte Carlo method; Variance reduction

Indexed keywords

FAILURE MODEL; FAULT TREE; FAULT-TREES; HIGHLY RELIABLE SYSTEMS; MONTE CARLO; PARALLEL COMPUTING; PRELIMINARY INFORMATION; SIMULATION METHODS; STANDARD ERRORS; STATIC AND DYNAMIC; SYSTEM COMPONENTS; SYSTEM PROBABILITIES; SYSTEM RELIABILITY; VARIANCE REDUCTIONS;

FAULT TREE ANALYSIS; MAINTAINABILITY; MONTE CARLO METHODS; PARALLEL ARCHITECTURES; PROBABILITY DENSITY FUNCTION; QUALITY CONTROL; RELIABILITY ANALYSIS;

QUALITY ASSURANCE;

EID: 77952775065     PISSN: 0149144X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/RAMS.2010.5447989     Document Type: Conference Paper

References (25)

1. W. E. Vesely, F. F. Goldberg, N. H. Robert, and D. F. Haas, Fault tree handbook, US Nuclear Regulatory Commission, Tech. Rep. NUREG 0492, 1981.
2. S. B. Akers, "Binary decision diagrams," IEEE Trans. Computers, C-27, 1978, pp. 509-516.
3. R. E. Bryant, "Graph-based algorithms for Boolean function manipulation," IEEE Trans. Computers, C-35, 1986, pp. 677-691.
4. R. Bryant, "Symbolic Boolean manipulation with ordered binary decision diagrams," ACM Computing Surveys, vol. 24, 1992, pp. 293-318.
5. O. Coudert and J. Madre, "MetaPrime: an interative fault-tree analysis," IEEE Transactions on Reliability, R-43, 1994, pp. 121-127.
6. A. Rauzy, "New algorithm for fault tree analysis," Reliability Engineering and System Safety, vol. 59, 1993, pp. 203-211.
7. A. Rauzy, E. Châtelet, Y. Dutuit, C. Bérenguer, "A practical comparison of methods to assess sum-ofproducts, ," Reliability Engineering and System Safety, vol. 79, 2003, pp. 33-42.
8. Y. Dutuit, A. Rauzy, "Exact and truncated computations of prime implicants of coherent and non-coherent fault trees within Aralia," Reliability Engineering and System Safety, vol. 58, 1997, pp. 127-144.
9. Y. Dutuit, A. Rauzy, "Approximate estimation of system reliability via fault trees," Reliability Engineering and System Safety, vol. 87(2), 2005, pp. 163-172.
10. M. Bouissou, "An ordering heuristics for building binary decision diagrams from fault-trees," RAMS 1996, pp. 208-215.
11. R. M. Sinnamon, J. D. Andrews, "New approaches to evaluating fault trees," Reliability Engineering and System Safety, vol. 58, 1997, pp. 89-96.
12. O. Yevkin, "Truncation approach in decomposition method for system reliability analysis", RAMS 2009.
13. M. Mazumdar, "Importance sampling in reliability estimation", In R. Barlow, J. Fussell, & N. Singpurwalla (eds.), Reliability and fault tree analysis. Phuladelphia: SIAM, 1975, pp. 153-165.
14. G. Fishman, "A Monte Carlo sampling plan for estimating network reliability, Operations Research, vol. 34, 1986, pp. 581-594.
15. S. Ross, "A course in simulation", New York: Macmillan, 1990, 202pp.
16. S. M. Ross, "Variance reduction in simulation via random hazards", Probability in the Engineering and Information Science, vol. 4, 1990, pp. 299-309.
17. C. H. Jun, S. M. Ross, "System reliability by simulation: random hazards versus importance sampling", Probability in the Engineering and Information Science, vol. 6, 1992, pp. 299-309.
18. H. S. Larson, B. O., B. O. Shubert, Probabilistic Models in Engineering Science, vol. 2, John Willey & Sons, NY, 1979.
19. J. B. Dugan, S. J. Bavuso, M. A. Boyd, "Dynamic fault tree models for fault tolerant computer systems", IEEE Transactions on Reliability, vol. 41, No 3, pp. 363-377.
20. E. E. Lews, F. Boehm, "Monte Carlo simulation of Markov unreliability models", Nuclear Engineering and Design, vol. 77, 1984, pp. 49-62.
21. E. E. Lews, T. Zhuguo, "Monte Carlo reliability modeling by inhomogeneous Markov process", Reliability Engineerin, vol. 16, 1986, pp. 277-296.
22. E. E. Lews, F. Boehm, C. Kirsch, B. P. Kelkhoff,, "Monte Carlo simulation of complex system mission reliability", Proceedings of the 1989 Winter Simulation conference, 1989, pp. 497-504.
23. S. J. Bavuso, "Aerospace applications of Weibull and Monte Carlo simulation with importance sampling", Proceedings of Annual Reliability and Maintainability Symposium, 1997, pp. 208-209.
24. R. Gulati, J. B. Dugan, "A modular approach for analysis static and dynamic fault trees", RAMS 1997, pp. 57-63.
25. K. Dugra Rao, V. Gopika, V. V. S. Sanyasi Rao, H. S. Kushwaha, A. K. Verma, A Srividya, "Dynamic fault tree analysis using Monte Carlo simulation in probabilistic safety assessment", Reliability Engineering and System Safety, vol. 94, No 4, 2009, pp. 872-883.