Probability models for sequential-stage system reliability growth via failure mode removal

International Journal of Reliability, Quality and Safety Engineering

Volumn 10, Issue 1, 2003, Pages 15-40

  Gaver, Donald P ^a   Jacobs, Patricia A ^a   Glazerbrook, Kevin D ^b   Seglie, Ernest A ^c  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

^c ARMED FORCES INSTITUTE OF PATHOLOGY   (United States)

Author keywords

Design burn in; Optimal stopping rule; Probability models; Reliability growth; System reliability

Indexed keywords

FAILURE ANALYSIS; IGNITION SYSTEMS; MARKOV PROCESSES; MATHEMATICAL MODELS; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; STEERING; THEOREM PROVING; VEHICLE WHEELS;

DESIGN BURN-IN; FAILURE MODE REMOVAL; OPTIMAL STOPPING RULE; PROBABILITY MODELS; RELIABILITY GROWTH; SEQUENTIAL STAGE SYSTEM RELIABILITY;

RELIABILITY;

EID: 0037933359     PISSN: 02185393     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021853930300097X     Document Type: Article

References (34)

1. H. Ascher and H. Feingold, Repairable Systems Reliability: Modeling, Inference, Misconceptions and Their Causes, Lecture Notes in Statistics 7 (Marcel Dekker, New York, 1984).
2. H. S. Balaban, "Reliability growth models," Journal of Environmental Sciences 21 (1978), pp. 11-18.
3. R. E. Barlow and E. M. Scheuer, "Reliability growth during a development testing program," Technometrics, 8, (1966), pp. 53-60.
4. D. R. Barr, "A class of general reliability growth models," Operations Research 18 (1970), pp. 52-65.
5. L. Benkherouf and J. A. Bather, "Oil exploration: sequential decisions in the face of uncertainty," Journal of Applied Probability 25 (1988), pp. 529-543.
6. L. Benkherouf, K. D. Glazebrook and R. W. Owen, "Gittins indices and oil exploration," Journal of the Royal Statistical Society B54 (1992), pp. 229-241.
7. G. K. Bhattacharyya, A. Fries and R. A. Johnson, "Properties of continuous analog estimators for a discrete reliability-growth model," IEEE Transactions on Reliability 38 (1989), pp. 373-378.
8. H. W. Block and T. H. Savits, "Burn-In," Statistical Science 12/1 (1997), pp. 1-13.
9. V. Bogdonavicius and M. S. Nikulin, "Estimation in Degradation Models with Explanatory Variables Report, Centre des Consultations Opti-Stats, Responsable de L'Equipe d'Accueil" Statistique mathmatique et ses Applications, Univ. Victor Segalen, Bordeaux, France (2000).
10. R. Calabria, M. Guida and G. Pulcini, "A Bayes procedure for estimation of current system reliability," IEEE Transactions on Reliability 41 (1992), pp. 616-621.
11. H. Chernoff and S. N. Ray, "A Bayes sequential sampling inspection plan," Annals of Mathematical Statistics 36/5 (1965).
12. H. Chernoff, "Sequential models for clinical trials," Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability (University of California Press, Berkeley, CA, 1966).
13. R. G. Easterling, M. Mazumdar, F. W. Spencer, and K. V. Diegert, "System-based component-test plans and operating characteristics: binomial data," Technometrics 33/3 (1991), pp. 287-298.
14. W. Feller, An Introduction to Probability Theory and Its Applications, Volume II (John Wiley & Sons, Inc., New York, 1966).
15. A. Fries and L. M. Maillart, "TAAF (Test-Analyze-And-Fix) Stopping Rules for Maximizing the Operational Utility of One-Shot Systems," IDA Document D-1880. Institute of Defense Analyses, Arlington, VA, (1996).
16. A. Fries, "Discrete reliability-growth models based on a learning-curve property," IEEE Transactions on Reliability 42 (1993), pp. 303-306.
17. D. P. Gaver and P. A. Jacobs, "Methodology for an operationally-based test length decision," IIE Transactions 30 (1998), pp. 1129-1134.
18. D. P. Gaver and P. A. Jacobs, "Testing or fault-finding for reliability growth: A missile destructive-test example," Naval Research Logistics 44 (1997), pp. 623-637.
19. D. P. Gaver and P. A. Jacobs, "WEBSIGHT: An internet tool for uncertainty analysis in operational testing," American Statistical Association Joint Annual Meetings (Baltimore, MD, August 8-12, 1999).
20. J. C. Gittins, Multi-armed Bandit Allocation Indices (John Wiley & Sons, Inc., New York, 1989).
21. K. D. Glazebrook, "On a family of prior distributions for a class of Bayesian search models," Advances in Applied Probability 25 (1993), pp, 714-716.
22. A. J. Gross and M. Kamins, "Reliability assessment in the presence of reliability growth," Annals of Assurance Sciences: 1968 Symposium on Reliability (1968), pp. 406-416.
23. T. Jayachadran and L. R. Moore, "A comparison of reliability growth models," IEEE Transactions on Reliability R-25 (1976), pp. 49-51.
24. N. L. Johnson, S. Katz and N. Balakrishnan, Continuous Univariate Distributions, Vol. 1, Second Edition (John Wiley & Sons, Inc., New York, 1994).
25. N. J. Lynn and N. D. Singpurwalla, "Comment: 'Burn-In' makes us feel good," Statistical Science 12 (1997), pp. 13-19.
26. G. Manor and M. Kress, "Optimality of the greedy shooting strategy in the presence of incomplete damage information," Naval Research Logistics 44 (1997), pp. 613-622.
27. T. A. Mazzuchi and R. Soyer, "A Bayes method for assessing product-reliability during development testing," IEEE Transactions on Reliability 42 (1993), pp. 503-510.
28. National Research Council, Reliability Issues for DoD Systems: Report of a Workshop, Committee on National Statistics, Frank Samaniego and Michael Cohen, ed., The National Academies Press. Washington, D.C. (2002).
29. D. E. Olsen, "Estimating reliability growth," IEEE Transactions on Reliability R-26 (1977), pp. 50-53.
30. S. M. Pollock, "A Bayesian reliability growth model," IEEE Transactions on Reliability R-17 (1968), pp. 187-198.
31. E. A. Seglie, "Reliability growth programs from the operational test and evaluation perspective," Reliability Growth Modeling: Objectives, Expectations, and Approaches, ed. by K.J. Farquar and A. Mosleh. The Center for Reliability Enginering, Univ. of Maryland, College Park, MD 20742, (1998). (1998).
32. A. Sen, S. Basu and M. Banerjee, "Statistical analysis of life-data with masked cause-of-failure," Handbook of Statistics: Reliability (C. R. Rao and N. Balakrishnan, eds.) (2000, to appear).
33. W. M. Woods, "The effect of discounting failures and weighting data on the accuracy of some reliability growth models," Proceedings of the Annual Reliability and Maintainability Symposium (Los Angeles, CA, Institute of Electrical and Electronics Engineers, Inc.), (1990), pp. 200-204.
34. M. C. Yang, D. D. Wackerly and A. Rosalsky, "Optimal stopping rules in proof-reading," J. Appl. Prob. 19 (1982), pp. 723-729.