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在常规故障和临界人为错误条件下具有易损坏储备部件复杂系统的可靠性分析
引用本文:张玉峰,乔兴.在常规故障和临界人为错误条件下具有易损坏储备部件复杂系统的可靠性分析[J].数学的实践与认识,2005,35(7):195-206.
作者姓名:张玉峰  乔兴
作者单位:延边大学理学院数学专业,吉林,延吉,133002
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,研究了易损坏部件对系统的影响,故障系统的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的谱特征,给出了系统的可靠性分析的证明.

关 键 词:复杂系统  C0半群  渐近稳定性
修稿时间:2005年3月10日

Reliability Analysis of a Complex System with a Deteriorating Standby Unit Under Common-Cause Failure and Critical Human Error
ZHANG Yu-feng,QIAO Xing.Reliability Analysis of a Complex System with a Deteriorating Standby Unit Under Common-Cause Failure and Critical Human Error[J].Mathematics in Practice and Theory,2005,35(7):195-206.
Authors:ZHANG Yu-feng  QIAO Xing
Abstract:This paper presents a stochastic model representing two units and one as a standby with critical human error and common cause failure. The deteriorating effect of the standby unit on the system is studied. Repair times of the failed system are arbitrarily distributed while all other transition time distributions are negative exponential. By using functional method, the reliability analysis of a system is proved, by studying spectral properties of the operator corresponding to this system.
Keywords:complex system  C0-semigroup  asymptotic stability
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