Probabilistic Aspects of Boolean Switching Functions via a New Transform
Journal of the ACM (JACM)
Computing System Failure Frequencies and Reliability Importance Measures Using OBDD
IEEE Transactions on Computers
Dynamic reliability indices for parallel, series and k-out-of-n multi-state systems
RAMS '06 Proceedings of the RAMS '06. Annual Reliability and Maintainability Symposium, 2006.
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The physical objects or processes include many interconnected components representing a complex systems. Their reliability analysis usually considers two states interpreted as failure and operability. They are described in terms of the binary mathematical model. Importance analysis of the system elements is a traditional component of the reliability analysis. It enables one to estimate the impact of individual components on the system's operability or failure. The present paper proposed a new approach to analysis and estimation of the system importance on the basis of the logical differential calculus.