Reliability analysis of repairable and non-repairable systems with common-cause failures

Abstract

This paper presents a reliability analysis of repairable and non-repairable systems with N active redundant units, r repair facilities and common-cause failures. The system is in a failed state when all N active units have failed or by a common-cause failure. The rate of common-cause failure is dependent on the number of failed units. Laplace transforms of state probabilities and mean time to failure of the system are derived.