在常规故障和临界人为错误条件下具有易损坏储备部件可修复系统的解的特征值

The Eigenvalue of a Repairable System with a Deleriorating Standby Unit Under Common-Cause Failure and Critical Human Error

讨论了一个由两个部件和一个储备部件,并且具有临界人为错误(human error rates)和常规故障(commor-error rates)的随机数学模型,研究了其预解式的表达式及本征值的数目问题,且得出一个本征值对应一个本征元的结论,并给出证明.

This paper presents a stochastic mathmatical model representing two units and one as a standby with critical human error and commen cause failure. Expression of resolvent and the number of eigenvalue is studied, and a eigenvalue corresponding to a eigenvector is proved.