In this paper, we provide an algorithm for evaluating the system state distribution for any multi-state consecutive-k-out-of-n:G system including the decreasing multi-state G system, the increasingâ€¦ (More)

A circular connected-(r, s)-out-of-(m, n):F lattice system consists of m!n components arranged in a cylindrical grid. Each of m circles has n components, and this system fails if and only if thereâ€¦ (More)

A circular consecutive-k-out-of-n: F system consists of n components arranged along a circular path. This system fails if and only if k or more consecutive components fail. As the number ofâ€¦ (More)

In traditional reliability theory, both the system and its components are allowed to take two possible states: either working or failed. In the binary context, a system with n components in sequenceâ€¦ (More)