常规故障具预警功能的两相同部件并联冗余可修复系统

Two Identical Units Parallel Redundant System with Warning Function in the Common-cause Failure

研究了常规故障具预警功能的两相同部件并联冗余可修复系统.通过选取状态空间和定义系统算子,将模型方程转化成为了抽象Cauchy问题.然后利用算子半群理论证明了系统解的存在唯一性与指数稳定性.另外,得到结论:当风险系数λ_c趋于无穷大时,这种系统逼近于一种具有mild解的模型系统.

This paper presents the two identical units parallel redundant system with warning function in the common cause failure. By choosing state and defining operator of system, we transfer model into an abstract Cauchy problem. Then, we prove the property of system solution by operator. Besides, we can obtain the reult that the warning system approaches to a system with mild solution, as hazard rate converges to infinity.