Formulae for the downtime distribution of a monotone system observed in a time interval

Reliability Engineering and System Safety

Volumn 52, Issue 1, 1996, Pages 19-26

  Haukas, Harald ^a   Aven, Terje ^a  

^a UNIVERSITY OF STAVANGER   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

FAILURE ANALYSIS; MATHEMATICAL MODELS; MONTE CARLO METHODS; RELIABILITY;

BINARY MONOTONE SYSTEM; DOWNTIME DISTRIBUTION;

SYSTEMS ANALYSIS;

EID: 0030123456     PISSN: 09518320     EISSN: None     Source Type: Journal    
DOI: 10.1016/0951-8320(95)00106-9     Document Type: Article

References (20)

1. Asmussen, S., Applied Probability and Queues, Wiley, N.Y., 1987.
2. Aven, T., On performance measures for multistate monotone systems. Reliab. Engng & System Safety, 41 (1993) 259-266.
3. Aven, T. Reliability and Risk Analysis, Elsevier AppliedScience, London, 1992.
4. Birolini, A., On the use of stochastic processes in modeling reliability problems. In Lecture notes in Economics and Mathematical Systems, Springer-Verlag, Berlin, 1985, p. 252.
5. Birolini, A., Quality and Reliability of Technical Systems, Springer-Verlag, Berlin, 1994.
6. Bremaud, P., Point Processes and Queues: Martingale Dynamics, Springer-Verlag, N.Y., 1981.
7. Brok, J. F. C., Availability assessment of oil and gas production systems. Int. J. Quality & Reliab. Man., 4 (1987) 21-36.
8. Brouwers, J. J. H., Probabilistic descriptions of irregular system downtime. Reliab. Engng, 15 (1986) 263-281.
9. Brouwers, J. J. H., Verbeek, P. H. J. & Thomson, W. R., Analytical system availability techniques. Reliab. Engng, 17 (1986) 9-22.
10. Csenki, A., Cumulative operational time analysis of finite semi-Markov reliability models. Reliab. Engng & System Safety, 44 (1994) 17-25.
11. Csenki, A., An integral equation approach to the interval reliability of systems modelled by finite semi-Markov processes. Reliab. Engng & System Safety, 47 (1995) 37-45.
12. Csenki, A., A new approach to the cumulative operational time for semi-Markov models of repairable systems. Research report, Aston University, UK, 1995.
13. Donatiello, L. & Iyer, B. R., Closed-form solution for system availability distribution. IEEE Trans. on Reliab., 36 (1987) 45-47.
14. Funaki, K. & Yoshimoto, K., Distribution of total uptime during a given time interval. IEEE Trans. on Reliab., 43 (1994) 489-492.
15. Haukas, H., Contribution to availability analysis of monotone system. Ph.D. thesis, University of Oslo, 1995.
16. Haukas, H. & Aven, T., A general formula for the downtime distribution of a parallel system, 1995. To appear in J. Appl. Prob., September, 1996.
17. Haukas, H. & Aven, T., Availability analysis of gas and oil production and transport systems. Paper presented at PSAM-II conference, San Diego, March, 1994.
18. Ross, S. M., On the calculation of asymptotic system reliability characteristics. In Fault Tree Analysis, (eds Barlow, R. E., Fussel, J. B. and Singpurvalla, N. D.) Society for Industrial and Applied Mathematics, SIAM 1975.
19. Ross, S. M., Probability Models, Academic Press, San Diego, 1992.
20. Tackacs, L., On certain sojourn time problems in the theory of stochastic processes. Acta Mathematica Academiae Scientiarum Hungaricae, 8 (1957) 169-191.