On a repairable system with detection, imperfect coverage and reboot: Bayesian approach

Simulation Modelling Practice and Theory

Volumn 16, Issue 3, 2008, Pages 353-367

  Ke, Jau Chuan ^a   Lee, Ssu Lang ^a   Hsu, Ying Lin ^b  

^a NATIONAL TAICHUNG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

^b NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

Author keywords

Availability; Bayesian estimation; Coverage; Detection; HPD intervals; Mean time to system failure; Reboot

Indexed keywords

BAYESIAN NETWORKS; COMPUTER SYSTEM RECOVERY; PARAMETER ESTIMATION; UNCERTAIN SYSTEMS;

BAYESIAN ESTIMATION; EXPONENTIAL DISTRIBUTIONS;

SYSTEMS ENGINEERING;

EID: 39749150320     PISSN: 1569190X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.simpat.2007.12.001     Document Type: Article

References (28)

1. Kumar A., and Agarwal M. A review of standby systems. IEEE Transactions on Reliability R-29 (1980) 290-294
2. Birolini A. The Use of Stochastic Processes in Modeling Reliability Problems. Lecture Notes in Economics and Mathematical Systems vol. 252 (1985), Springer-Verlag, Berlin
3. Yearout R.D., Reddy P., and Grosh D.L. Standby redundancy in reliability-a review. IEEE Transactions on Reliability R-35 (1986) 285-292
4. Osaki S., and Nakagawa T. Bibliography for reliability and availability of stochastic systems. IEEE Transactions on Reliability R-25 (1976) 284-287
5. Srinivasan S.K., and Subramanian R. Probabilistic Analysis of Redundant Systems. Lecture Notes in Economics and Mathematical Systems 175 (1980), Springer-Verlag, Berlin
6. Goel L.R., and Shrivastava P. Profit analysis of a two-unit redundant system with provision for test and correlated failures and repairs. Microelectronics and Reliability 31 (1991) 827-833
7. de Almeida A.T., and Campello de Souza F.M. Decision theory in maintenance strategy for a 2-unit redundant standby system. IEEE Transactions on Reliability 42 3 (1993) 401-407
8. Gururajan M., and Srinivasan B. A complex two-unit system with random breakdown of repair facility. Microelectronics and Reliability 35 2 (1995) 299-302
9. Subramanian R., and Anantharaman V. Reliability analysis of a complex standby redundant system. Reliability Engineering and System Safety 48 (1995) 57-70
10. Rajamanickam S.P., and Chandrasekar B. Reliability measures for two-unit systems with a dependent structure for failure and repair times. Microelectronics and Reliability 37 5 (1997) 829-833
11. Billinton R., and Pan J. Optimal maintenance scheduling in a two identical component parallel redundant system. Reliability Engineering and System Safety 59 (1998) 309-316
12. Yadavalli V.S.S., Botha M., and Bekker A. Asymptotic confidence limits for the steady-state availability of a two-unit parallel system with preparation time for the repair facility. Asia-Pacific Journal of Operational Research 19 (2002) 249-256
13. Seo J.H., Jang J.S., and Bai D.S. Lifetime and reliability estimation of repairable redundant system subject to periodic alternation. Reliability Engineering and System Safety 80 (2003) 197-204
14. Trivedi K.S. Probability and Statistics with Reliability, Queueing and Computer Science Applications (2002), John Wiley & Sons, Inc., New York
15. Pham H. Reliability analysis of a high voltage system with dependent failures and imperfect coverage. Reliability Engineering and System Safety 37 (1992) 25-28
16. Moustafa M. Reliability analysis of K-out-of-N: G systems with dependent failures and imperfect coverage. Reliability Engineering and System Safety 58 (1997) 15-17
17. Jie M. Interval estimation of availability of a series system. IEEE Transactions in Reliability R-40 5 (1991) 541-546
18. Masters B.N., Lewis T.O., and Kolarik W.J. A confidence interval availability for systems with Weibull operating time and lognormal repair time. Microelectronics and Reliability 32 (1992) 89-99
19. Chien Y.H., Ke J.-C., and Lee S.-L. Asymptotic confidence limits for performance measures of a repairable system with imperfect service station. Communication in Statistics-Simulation and Computation 35 (2006) 813-830
20. Chandrasekhar P., Natarajan R., and Yadavalli V.S.S. A study on a two unit standby system with Erlangian repair time. Asia-Pacific Journal of Operation Research 21 3 (2004) 271-277
21. Yadavalli V.S.S., Bekker A., and Pauw J. Bayesian study of a two-component system with common-cause shock failures. Asia-Pacific Journal of Operational Research 22 1 (2005) 105-119
22. Rausand M., and Hoyland A. System Reliability Theory - Models, Statistical Methods and Applications. 2nd ed. (2003), John Wiley & Sons, New York
23. Bernard J.M., and Smith A.F. Bayesian Theory. 3rd ed. (1995), John Wiley & Sons, Chichester
24. O'Hagan A., Buck C.E., Daneshkhah A., Eiser J.R., Garthwaite P.H., Jenkinson D.J., Oakley J.E., and Rakow T. Uncertain Judgements: Eliciting Experts' Probabilities (2006), John Wiley & Sons, Chichester
25. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.H., and Teller E. Equations of state calculations by fast computing machines. Journal of Chemical Physics 21 (1953) 1087-1092
26. Hastings W.K. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57 (1970) 97-109
27. Geman S., and Geman D. Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence 6 (1984) 721-741
28. Chib S., and Greenberg E. Understanding the Metropolis-Hastings algorithm. The American Statistician 49 (1995) 327-335