离散时间单重休假温储备系统的可靠性分析  

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

作　　者：姜红燕[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》2011年第5期1-6,共6页Journal of Huaiyin Institute of Technology

基　　金：淮阴工学院青年教师科研基金项目(HGC0923)

摘　　要：在时间参数为离散的假设下,研究单重休假两同型部件的温储备系统,在部件工作寿命、储备寿命服从几何分布,修理时间和修理工休假时间服从一般离散型概率分布时,利用离散向量Markov过程方法,建立系统状态转移的差分模型。采用控制工程中常用的Z变换对模型进行处理,从而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 two-unit warm standby repairable system with single vacation is considered under the assumption that the time parameter is discrete.The difference model of state transition is deduced by using the Markov process method for discrete vectors,when the life time,storage time both obey geometric distributions and the repair time and the vacation time obey general discrete probability distributions.And the steady-state availabil-ity,the steady-state reliability,the probability of waiting to repair and the mean time prior to the first failure are obtained by applying the Z-transformation.

关 键 词：单重休假 温储备可修复系统 离散向量Markov过程方法 

分 类 号：O226[理学—运筹学与控制论]