This study examines a repairable -out-of-: system with warm standby components and repairmen, where common cause failure (CCF), random inspection, and a repair pressure coefficient are involved. Due to the typical non-self-announcement of the standby component’s failure, performing a random inspection on warm standby components is necessary to find whether there are failed standby components. When the number of failed components is larger than (heavy loading occurs), all the repairmen increase their repair rates under a repair pressure coefficient to reduce the waiting queue and enhance the reliability and availability of the system. By adopting a matrix-analytic method and Markov renewal theory, this study provides the steady-state distribution and some reliability indices mean time to first failure time (MTTFF) and reliability function from the arbitrary initial state. By some numerical experiments, sensitivity analysis is finally given to show the effect of the system parameters on some performance measures.

中文翻译：

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维修压力下随机检修人员冗余系统的灵敏度分析

这项研究检查了一个可修复的： 具有热备用组件和维修人员的系统，其中涉及常见原因故障 (CCF)、随机检查和维修压力系数。由于备件故障具有典型的非自告警特性，因此需要对暖备件进行抽检，以发现是否存在故障备件。当失败的组件数量大于(出现重载)，所有维修人员在维修压力系数下提高维修率，以减少等待队列，提高系统的可靠性和可用性。本研究采用矩阵分析法和马尔可夫更新理论，从任意初始状态给出了稳态分布和一些可靠性指标平均首次故障时间（MTTFF）和可靠性函数。通过一些数值实验，最后给出了灵敏度分析，以显示系统参数对某些性能指标的影响。