由常规故障和临界人为错误引起系统故障的可修复系统动态解的最优控制

Optimal Control of Repairable System Under Common-Cause Failure and Critical Human Error

研究了由两个运行部件和一个储备部件并且具有常规故障和临界人为错误的随机模型,故障系统的修复时间是任意分布的.先把系统方程的解转化为Volterra积分方程的形式,证明了系统方程中正解的存在唯一性,再以泛数指标泛函作为衡量系统可控性的标准,研究该系统的最优控制问题.

This paper presents a stochastic model representing two units and one as a standby with critical human error and common cause failure system is arbitrarily distributed while all other transition time distributions are negative exponential. Firstly, the system is transformed into corresponding Volterra integral equation. It was proved the existence and uniqueness of non-negative solution of such system. We also research the optimal control problems of the system by using the norm index function as the standard of examining the control variable.