离散时间单重休假冷储备系统的可靠性分析  

A Reliability Analysis of the Discrete Time Cold Standby System with Single Vacations

作　　者：余玅妙[1] 唐应辉[2] 陈胜兰[3] 

机构地区：[1]四川理工学院数学系,四川自贡643000 [2]四川师范大学数学与软件科学学院,四川成都610066 [3]重庆邮电大学数理学院,重庆400065

出　　处：《计算机工程与科学》2008年第10期108-112,共5页Computer Engineering & Science

基　　金：四川省教育厅自然科学重点项目基金([2006]A067);四川理工学院人才引进科研启动基金资助项目(07ZR42)

摘　　要：利用离散向量Markov过程方法研究了离散时间单重休假两同型部件冷储备可修系统。在部件寿命服从几何分布,修理时间和修理工休假时间服从一般离散型概率分布的假定下,引入修理时间和休假时间尾概率,求得了系统的稳态可用度、稳态故障频度、待修概率、修理工空闲概率和休假概率,以及首次故障前平均时间等可靠性指标。By applying the Markov process method for discrete vectors, a discrete-time two-unit cold standby repairable system with single vacations is studied in this paper. Under the assumption that life time has an geometric distribution, while the repair time and the vacation time have general discrete probability distributions, through introducing the tail probability of the repair time and the vacation time, the steady-state availability, the steady-state failure frequency, the probability of waiting to repair, the probability of the repairman＇s idle state, the probability of the vacation state and the mean time prior to the first failure are obtained.

关 键 词：单重休假 冷储备可修系统 离散向量Markov过程方法 可靠性指标 

分 类 号：O226[理学—运筹学与控制论]