Approximation algorithm for evaluating time-to-failure distribution of k-out-of-n system with shared standby elements

Reliability Engineering and System Safety

Volumn 95, Issue 4, 2010, Pages 396-401

  Levitin, Gregory ^a   Amari, Suprasad V ^b  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b Relex Software Corporation   (United States)

Author keywords

Standby; Time to failure distribution; Universal generating function

Indexed keywords

ARBITRARY DISTRIBUTION; K-OUT-OF-N SYSTEM; STANDBY MODE; STANDBY TIME; TIME TO FAILURE; UNIVERSAL GENERATING FUNCTIONS;

FUNCTION EVALUATION;

APPROXIMATION ALGORITHMS;

EID: 76049098033     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ress.2009.11.010     Document Type: Article

References (23)

1. Kuo W., Prasad V.R., Tillman F.A., and Hwang C.L. Optimal reliability design: fundamentals and applications (2001), Cambridge University Press
2. Elsayed E. Reliability engineering (1996), Addison-Wesley Longman, Reading, MA
3. Amari S.V., Dugan J.B., and Misra R.B. Optimal reliability of systems subject to imperfect fault-coverage. IEEE Transactions on Reliability 48 3 (1999) 275-284
4. ANSI/IEEE 446-1995: IEEE recommended practice for emergency and standby power systems for industrial and commercial applications (IEEE Orange Book). IEEE, 1995.
5. NFPA 110: Standard for emergency and standby power systems. NFC, 2005.
6. Pham H., Phan H.K., and Amari (Suprasad) S.V. A general model for evaluating the reliability of telecommunications systems. Communications in Reliability, Maintainability, and Supportability-An International Journal 2 (1995) 4-13
7. Sinaki G. Ultra-reliable fault-tolerant inertial reference unit for spacecraft. Proceedings of the annual rocky mountain guidance and control conference: advances in the astronautical sciences, 86; 1994, p. 239-48
8. Pandey D., Jacob M., and Yadav J. Reliability analysis of a powerloom plant with cold standby for its strategic unit. Microelectronics Reliability 36 1 (1996) 115-119
9. Kumar S., Kumar D., and Mehta N. Behavioural analysis of a shell gasification and carbon recovery process in a urea fertilizer plant. Microelectronics Reliability 36 4 (1996) 477-480
10. Yin M., Blough D.M., and Bic L. A dependability analysis for systems with global spares. IEEE Transactions on Computers 49 (2000) 958-963
11. Amari S.V., Zuo M.J., and Dill G. O(kn) algorithms for analyzing repairable and non-repairable k-out-of-n: G systems. In: Misra K.B. (Ed). Handbook of performability engineering (2008), Springer
12. Yearout R.D., Reddy P., and Grosh D.L. Standby redundancy in reliability-a review. IEEE Transactions on Reliability 35 3 (1986) 285-292
13. She J., and Pecht M.G. Reliability of a k-out-of-n warm-standby system. IEEE Transactions on Reliability 41 1 (1992) 72-75
14. Li X., Yan R., and Zuo M.J. Evaluating a warm standby system with components having proportional hazard rates. Operations Research Letters 37 (2009) 56-60
15. Amari SV, Dill G, Howald E. A new approach to solve dynamic fault trees. Proceedings of the annual reliability and maintainability symposium. 2003, pp. 374-379
16. Boudali H., and Dugan J.B. A continuous-time Bayesian network reliability modeling, and analysis framework. IEEE Transactions on Reliability 55 1 (2006) 86-97
17. Azaron A., Katagiri H., Sakawa M., and Modarres M. Reliability function of a class of time-dependent systems with standby redundancy. European Journal of Operational Research 164 2 (2005) 378-386
18. Distefano S, Xing L. A new approach to modeling the system reliability: dynamic reliability block diagrams. In: Annual reliability and maintainability symposium - RAMS'06, 2006. p. 189-95.
19. Papageorgiou E., and Kokolakis G. A two-unit general parallel system with (n-2) cold standbys-analytic and simulation approach. European Journal of Operational Research 176 2 (2007) 1016-1032
20. Relex RBD: http://www.relexsoftware.com/products/rbd.asp
21. Levitin G. Universal generating function in reliability analysis and optimization (2005), Springer-Verlag, London
22. Pike M.C. A method of analysis of a certain class of experiments in carcinogenesis. Biometrics 22 (1966) 142-161
23. Nelson W. Accelerated testing: statistical models, test plans, and data analysts (1990), John Wiley & Sons