G-混合冗余策略下多状态可修系统的可靠性

In this paper, the reliability for a repairable system under G-mixed redundancy strategy is investigated. The system consists of four components and a repairman, in which the multiple vacation policy of the repairman is adopted so that the human resources can be fully utilized. The phase-type (PH) distribution is used to describe various random variables in the model. A system reliability model with better commonality is developed, and some reliability indexes of the system are obtained in both transient and stationary regimes by employing matrix-analytic method. Finally, the applicability of the model is verified by numerical examples, and the system reliability under G-mixed redundancy strategy is compared with that under K-mixed redundancy strategy. The results show that the proposed reliability model under G-mixed redundancy strategy is significantly higher than that under the K-mixed redundancy strategy.