Belief reliability: a new metrics for products’ reliability
- 304 Downloads
Traditional reliability metrics are based on probability measures. However, in engineering practices, failure data are often so scarce that traditional metrics cannot be obtained. Furthermore, in many applications, premises of applying these metrics are violated frequently. Thus, this paper will give some new reliability metrics which can evaluate products’ reliability with few failure data. Firstly, the new metrics are defined based on uncertainty theory and then, numerical evaluation methods for them are presented. Furthermore, a numerical algorithm based on the fault tree is developed in order to evaluate systems’ reliability in the context of defined metrics. Finally, the proposed metrics and evaluation methods are illustrated with some case studies.
KeywordsUncertainty theory Reliability Fault tree
Unable to display preview. Download preview PDF.
- Ebeling C. (2010) An introduction to reliability and maintainability engineering. Waveland Press, Long GroveGoogle Scholar
- Fussell J., Vesely W. (1972) New methodology for obtaining cut sets for fault trees. Transactions of American Nuclear Society 15(1): 262–269Google Scholar
- Liu B. (2009) Some research problems in uncertainty theory. Journal of Uncertain Systems 3(1): 3–10Google Scholar
- Liu B. (2010) Uncertain risk analysis and uncertain reliability analysis. Journal of Uncertain Systems 4(3): 163–170Google Scholar
- Liu B. (2011) Uncertainty theory: a branch of mathematics for modeling human uncertainty. Springer, BerlinGoogle Scholar
- Liu B. (2012) Why is there a need for uncertainty theory?. Journal of Uncertain Systems 6(1): 3–10Google Scholar
- Nelson W. (1990) Accelerated testing: statistical models, test plans and data analyses. Wiley, New YorkGoogle Scholar
- Wang, Z. (2010). Structural reliability analysis using uncertainty theory. In Proceedings of the first international conference on uncertainty theory (pp. 166–170), Urumchi.Google Scholar