具有可修储备部件的人-机系统解的特征值分析

The Eigen Analysis of a Rapairable Standby Human-Machine System

针对一种具有两个运行部件和一个储备部件,考虑系统通常故障的发生,且系统故障修复时间服从一般分布的人-机系统模型,对系统的本征值做了进一步分析,并通过具体实例论证了系统非零本征值的存在性,证明了系统本征值与本征向量的一一对应关系.

This paper presents a model representing two units active and one standby system with common-cause failures and rapair times of the failed system are arbitrarily distributed. In addition, We make a further analysis of the eigenvalue of the system and argue the existence of the mon-zero eigenvalue of the system from a concrete example and proved the one-to-one corresponding relationship between the eigenvalue and the eigenrector.