K-out-of-N:G system with multiple correlated failures

In this paper we consider a K-out-of-N:G system subject to multiple correlated failures. One repair facility is available. The method of the supplementary variables is used to obtain the Laplace transform (LT) of the pointwise availability, LT of the pointwise reliability, the mean time to the first system failure (MTSF) and the steady state availability.