On the Stochastic Analysis of Consecutive-k-out-of-n:F Repairable System Using Higher Priority Repair Rule

In this paper, we study a repairable consecutive-k-out-of-n:F system under the assumption that the failure and repair times of the components follow a geometric distribution. The reliability and availability characteristics of the system are obtained by evaluating transition state probabilities instead of steady state probabilities. Furthermore, the priority repair rule is applied to repair the components. A simulation study was carried out to compare the theoretical results. In order to make inferences about the system, various numerical results are obtained and these results are presented in tables and figures.