A general formula for the downtime distribution of a parallel system

Journal of Applied Probability

Volumn 33, Issue 3, 1996, Pages 772-785

  Haukås, Harald ^a   Aven, Terje ^a  

^a UNIVERSITY OF STAVANGER   (Norway)

Author keywords

Downtime distribution; Parallel system; System failure

Indexed keywords

EID: 0039015531     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200100208     Document Type: Article

References (21)

1. AVEN, T. (1993) On performance measures for multistate monotone systems. Reliability Eng. Syst. Safety 41, 259-266.
2. AVEN, T. (1992) Reliability and Risk Analysis. Elsevier, London.
3. BARLOW, R. E. AND PROSCHAN, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.
4. BIROLINI, A. (1994) Quality and Reliability of Technical Systems. Springer, Berlin.
5. BROK, J. F. C. (1987) Availability assessment of oil and gas production systems. Int. J. Quality Reliability Management 4, 21-36.
6. BROUWERS, J. J. H. (1986) Probabilistic descriptions of irregular system downtime. Reliability Eng. 15, 263-281.
7. BROUWERS, J. J. H., VERBEEK, P. H. J. AND THOMSON, W. R. (1986) Analytical system availability techniques. Reliability Eng. 17, 9-22.
8. COX, D. R. (1962) Renewal Theory. Methuen, London.
9. CSENKI, A. (1994) Cumulative operational time analysis of finite semi-Markov reliability models. Reliability Eng. Safety Syst. 44, 17-25.
10. CSENKI, A. (1995) An integral equation approach to the interval reliability of systems modelled by finite semi-Markov processes. Reliability Eng. Safety Syst. 47, 37-45.
11. CSENKI, A. (1995) A new approach to the cumulative operational time for semi-Markov models of repairable systems. Preprint. Aston University.
12. FUNAKI, K. AND YOSHIMOTO, K. (1994) Distribution of total uptime during a given time interval. IEEE Trans. Reliability 43, 489-492.
13. FUNNEMARK, E. AND NATVIG, B. (1985) Bounds for the availabilities in a fixed time interval for multistate monotone systems. Adv. Appl. Prob. 17, 638-655.
14. HAUKÅS, H. (1994) Bounds on the system downtime distribution of a parallel system comprising two components. Note. Rogaland University Centre.
15. HAUKÅS, H. (1995) Contribution to availability analysis of monotone system. Ph.D. thesis. University of Oslo.
16. HAUKÅS, H. AND AVEN, T. (1994) Availability analysis of gas and oil production and transport systems. Paper presented at PSAM-II conference, San Diego, March, 1994.
17. HAUKÅS, H. AND AVEN, T. (1996) Formulae for the downtime distribution of a monotone system observed in a time interval. Reliability Eng. Safety Syst. (to appear).
18. ROSS, S. M. (1970) Applied Probability Models with Optimization Applications. Holden-Day, San Francisco.
19. ROSS, S. M. (1975) On the calculation of asymptotic system reliability characteristics. In Fault Tree Analysis, ed R. E. Barlow, J. B. Fussel and N. D. Singpurwalla. SIAM, Philadelphia.
20. TAKÁCS, L. (1957) On certain sojourn time problems in the theory of stochastic processes. Acta Math. Acad. Scientiarum Hungaricae 8, 169-191.
21. TAYLOR, H. M. AND KARLIN, S. (1984) An Introduction to Stochastic Modeling. Academic Press, New York.