Reliability Analysis of a k-out-of-n System in Case of Full Repair After Its Failure

The paper focuses on the investigation of a k-out-of-n system in case of full repair after its failure. The reliability analysis, including the calculation of time-dependent and steady-state system characteristics, is considered. It is assumed that components' lifetime is exponentially distributed, and the repair time has an arbitrary distribution. The closed-form representation of system steady-state probabilities in terms of the Laplace transform of components' repair time is shown.