由常规故障和临界人为错误引起系统故障的可修复系统的稳定性分析  

Reliability Analysis of Repairable System Under Common-Cause Failure and Critical Human Error

作　　者：严伟[1] 王雪峰[1] 贾诺[1] 

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025

出　　处：《数学的实践与认识》2008年第23期137-144,共8页Mathematics in Practice and Theory

基　　金：黑龙江省自然科学基金(TA2005-19)

摘　　要：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和常规故障的随机模型,故障系统修复时间是任意分布的.运用泛函分析的方法,通过分析系统主算子谱特征,给出了系统稳定性的证明.This paper presents a stochastic model representing two units and one as a standby with critical human error and common cause failure. Repair time of the failed system is arbitrarily distributed while all other transition time distributions are negative exponential. By using function method the reliability analysis of a system is proved by studying spectral properties of the operator corresponding to this system.

关 键 词：可修复系统 稳定性 系统故障 泛函分析法 

分 类 号：N945.17[自然科学总论—系统科学]