Joint reliability and weighted importance measures of a k-out-of-n system with random weights for components

摘要

In this paper, the joint importance of two components in a k-out-of-n system with random weights for components is studied. Rahmani et al. (2016) introduced the weighted importance (WI) measure corresponding to component i and investigated its properties. We generalize this measure for two components i and j and its relation with joint reliability importance is studied. Finally, the stochastic behavior of this measure is discussed.