离散时间单重休假两部件并联可修系统的可靠性分析  

RELIABILITY ANALYSIS OF DISCRETE TIME TWO-UNIT PARALLEL REPAIRABLE SYSTEM WITH SINGLE VACATION

作　　者：余玅妙[1] 唐应辉[2] 陈胜兰[3] 

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

出　　处：《系统科学与数学》2009年第5期617-629,共13页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(70871084);教育部高校博士点专项研究基金(200806360001);四川省教育厅自然科学基金(08ZC028)资助项目

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并联可修系统.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.并通过具体数值实例展示了离散向量马氏链状态转移频度的具体计算方法.By applying the discrete vector Markov process method, a discrete time twounit parallel repairable system with single vacation 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 probabilities of the repair time and the vacation time, the steady-state availability, the steady-state failure frequency, the probability of waiting repair, the probability of repairman＇s idle state, the probability of vacation state and the mean time to first failure are obtained.

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

分 类 号：O213.2[理学—概率论与数理统计]