Joint reliability of linear consecutive k-type systems with shared components in a zigzag structure

In this paper, four different types of linear consecutive-k systems with shared components in a zigzag structure—linear consecutive-k-out-of-n: F systems, linear consecutive-k-out-of-n: F systems with sparse d, linear m-consecutive-k-out-of-n: F systems without overlapping, and linear m-consecutive-k-out-of-n: F systems with (at most) p overlapping—are considered. The joint reliability functions of these systems are obtained by using finite …