离散时间下有优先权的两部件系统可靠性分析  

Reliability Analysis of a Discrete Time Warm Standby System with Single Vacation

作　　者：姜红燕[1] 李杰[1] 

机构地区：[1]淮阴工学院数理学院,江苏淮安223003

出　　处：《淮阴工学院学报》2013年第5期15-18,共4页Journal of Huaiyin Institute of Technology

摘　　要：研究了离散时间状态下有优先权的两部件可修系统,在假定工作时间服从几何分布、维修时间服从一般分布的条件下,引入了二维离散时间马尔可夫过程来定义系统的状态。通过概率分析的方法,建立系统状态转移的差分方程,采用控制工程中常用的Z变换对模型进行处理,得到系统的稳态可用度、可靠度、等待维修概率、首次故障前平均时间等一系列可靠性指标。A prior two-component system was investigated in this paper by assuming that the time parameter was discrete.The difference equations of state transition were deduced by using the two-dimensional Markov process method for discrete vector when the working time obeyed the geometrical distribution,and the repair time obeyed a general distribution.The steady-state availability,steady-state reliability,probability of waiting for reparation and the mean time prior to the first failure were obtained by applying the Z-transformation.

关 键 词：优先权 可修系统 离散向量Markov过程方法 Z变换 

分 类 号：O226[理学—运筹学与控制论]