具有易损坏储备部件可修系统的稳定性和可靠性分析

Asymptotic Stability and Reliability Analysis of a Reparable System with a Deteriorating Standby Unit under Common-cause Failure and Critical Human Error

讨论了一个由两个工作部件和一个储备部件,并且具有临界人为错误和常规故障的随机数学模型,研究了系统解的渐近稳定性,即:limt→∞P→(.,t)=P→,同时完成了对系统解的可靠性的证明.

This paper presents the model of a reparable system with a deteriorating standby unit under common-cause failure and critical human error. First, we discuss and prove the asymptotic stability of the solution of system that is limt→∞P^→（.,t）=P^→. Then, we finish the proof of reliability of the system.