Reliability and Joint Reliability Importance in a Consecutive-<formula formulatype="inline"> <tex Notation="TeX">$k$</tex> </formula>-Within-<formula formulatype="inline"> <tex Notation="TeX">$m$</tex> </formula>-out-of-<formula formulatype="inline"> <tex Notation="TeX">$n$</tex> </formula>:F System With Markov-Dependent Components

This paper studies a consecutive- k-within- m-out- of- n:F system with Markov-dependent components; that is, the reliability of a component depends on its neighbors. Using probability generating functions, the closed-form formula for reliability of the consecutive- k-within- m-out-of- n:F system with Markov-dependent components and a closed-form formula for joint reliability importance (JRI) of two components in such a system are derived. The...