线形可重叠的m-consecutive-k-out-of-n:F系统可靠性和单元重要度研究

A Study on Reliability and Component Importance of Linear Overlapping m-consecutive-k-out-of-n:F System

线形可重叠的m-consecutive-k-out-of-n:F系统可应用于模式识别、通讯系统、生物信息学等,该系统由顺序排列在一条线上的n个单元组成,系统的失效准则为系统中存在m个失效片断,每个片断由连续k个失效单元组成。为了获得线形可重叠的m-consecutive-k-out-of-n:F系统可靠性指标,本文应用马尔科夫链法对该系统进行了研究,在给出可靠度计算公式的基础上,进一步给出系统中每一个单元的重要度计算公式,从而为系统优化设计提供依据。

A linear overlapping m-consecutive-k-out-of-n:F system can be applied to pattern recognition,communication and bio-information etc.The system consists of n components arranged orderly in a line and has failure rule that m overlapping failed sections exist in the system,and there are consecutive-k failed components in each section.In order to obtain the reliability indexes of linear overlapping m-consecutive-k-out-of-n:F system,formulas of the system reliability and the importance of every component were deduced by Markov chain method,which provide basis for optimal design of the system.