论文信息 - Relationships of Fussell-Vesely and Birnbaum importance to structural importance in coherent systems

Relationships of Fussell-Vesely and Birnbaum importance to structural importance in coherent systems

Abstract The notion of node criticality was introduced by Boland, Proschan and Tong to study the problem of optimal rearrangement of components in binary coherent systems. In this paper, we use this notion to study the importance of system components. We derive various relationships between the node criticality and the component importance measures due to Birnbaum, Fussell and Vesely, respectively. Some previous results due to Boland and Proschan, and Meng have been improved.

Fan C. Meng | F. Meng

[1] Fan Chin Meng. Comparing Criticality of Nodes via Minimal Cut (Path) Sets for Coherent Systems , 1994 .

[2] L. Gleser. On the Distribution of the Number of Successes in Independent Trials , 1975 .

[3] F. Proschan,et al. The Reliability of $K$ Out of $N$ Systems , 1983 .

[4] Y. Tong,et al. Optimal arrangement of components via pairwise rearrangements , 1989 .

[5] Richard E. Barlow,et al. Statistical Theory of Reliability and Life Testing: Probability Models , 1976 .

[6] Fan C. Meng. Some further results on ranking the importance of system components , 1995 .

[7] I. Olkin,et al. Inequalities: Theory of Majorization and Its Applications , 1980 .

[8] W. E. Vesely,et al. A time-dependent methodology for fault tree evaluation , 1970 .

[9] J. B. Fussell,et al. How to Hand-Calculate System Reliability and Safety Characteristics , 1975, IEEE Transactions on Reliability.

[10] F. C. Meng. Comparing the importance of system components by some structural characteristics , 1996, IEEE Trans. Reliab..

[11] Emad El-Neweihi,et al. Measures of component importance in reliability theory , 1995, Comput. Oper. Res..

[12] M. Cheok,et al. Use of importance measures in risk-informed regulatory applications , 1998 .

[13] F. Proschan,et al. Importance of System Components and Fault Tree Events. , 1975 .