Prioritizing system-reliability prediction improvements

This method prioritizes system-reliability prediction activities once a preliminary reliability-prediction has been made. System-reliability predictions often use data and models from a variety of sources, each with differing degrees of estimation uncertainty. Since time and budgetary constraints limit the extent of analyzes and testing needed to estimate component reliability, it is necessary to allocate limited resources intelligently. A reliability-prediction prioritization index (RPPI) is defined to provide a relative ranking of components based on their potential for improving the accuracy of a system-level reliability prediction by decreasing the variance of the system-reliability estimate. If a component has a high RPPI, then additional testing or analysis should be considered to decrease the variance of the component reliability estimate. RPPI is based on a decomposition of the variance of the system-reliability or on a mean-time-to-failure estimate. Using these indexes, the effect of individual components within the system can be compared, ranked, and assigned to priority groups. The ranking is based on whether a decrease of the component-reliability estimate variance meaningfully decreases the system-reliability estimate variance. The procedure is demonstrated with two examples.

[1]  K. Shen,et al.  On ranking of system components with respect to different improvement actions , 1989 .

[2]  David C. Cox,et al.  An Analytic Method for Uncertainty Analysis of Nonlinear Output Functions, with Applications to Fault-Tree Analysis , 1982, IEEE Transactions on Reliability.

[3]  Enrico Zio,et al.  Sensitivity Analysis of a nonlinear reliability model , 1998 .

[4]  Ronald L. Iman,et al.  Comparison of Maximus/Bounding and Bayes/Monte Carlo for fault tree uncertainty analysis , 1986 .

[5]  D. Coit System-reliability confidence-intervals for complex-systems with estimated component-reliability , 1997 .

[6]  A. Gandini,et al.  Importance and sensitivity analysis in assessing system reliability , 1990 .

[7]  Kazuharu Yamato,et al.  Variance-Importance of System Components , 1982, IEEE Transactions on Reliability.

[8]  Michael D. McKay,et al.  Nonparametric variance-based methods of assessing uncertainty importance , 1997 .

[9]  T. A. Wheeler,et al.  Importance of data and related uncertainties in probabilistic risk assessments. [PWR; BWR] , 1985 .

[10]  Ilya M. Sobol,et al.  Sensitivity Estimates for Nonlinear Mathematical Models , 1993 .

[11]  David W. Coit System reliability prediction prioritization strategy , 2000, Annual Reliability and Maintainability Symposium. 2000 Proceedings. International Symposium on Product Quality and Integrity (Cat. No.00CH37055).

[12]  Z W Birnbaum,et al.  ON THE IMPORTANCE OF DIFFERENT COMPONENTS IN A MULTICOMPONENT SYSTEM , 1968 .

[13]  A. Saltelli,et al.  Importance measures in global sensitivity analysis of nonlinear models , 1996 .

[14]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[15]  S. Hora,et al.  A Robust Measure of Uncertainty Importance for Use in Fault Tree System Analysis , 1990 .

[16]  Robert G. Easterling,et al.  Approximate Confidence Limits for System Reliability , 1972 .