A k-out-of-N:G three-state unit redundant system with common-cause failures and replacements

Abstract A mathematical model for predicting a k-out-of-N:G three-state unit redundant system with common-cause failures and failed system with replacement units has been developed. Laplace transforms of the state probabilities are derived. The steady-state probabilities, frequency of encountering and the average duration of residence in a state are also reported.