Joint Reliability Importance of k-out-of-n Systems and Series-Parallel Systems

Joint Reliability Importance (JRI) is a measurement of the degree of interactions between two components in a system. The value of JRI is non-positive (non-negative) if and only if one component becomes more important when the other has failed (is functioning). In this paper, we study the properties of JRI of the k-out-of-n system, where the system works if there are at least k functioning components among n identical and independent distributed components. The variations of JRI according to the probability of the component and to the number of components are analyzed. We also indicate and correct the errors in the previous paper. In addition, the JRI of the series-parallel systems are presented.