修理有延迟的线性n中取n-1好系统的可靠性分析  

Analysis on Reliability of Linear Constructive-(n-1)-out-of-n(G) Repairable System with a Delayed Time before Repaire

作　　者：王俊元[1] 常迎香[1] 廖鸣泰[1] 

机构地区：[1]兰州交通大学

出　　处：《哈尔滨师范大学自然科学学报》2013年第2期11-15,共5页Natural Science Journal of Harbin Normal University

基　　金：甘肃省自然科学基金资助项目(1208RJZA111)

摘　　要：对n中取连续n-1好系统在部件寿命和维修时间均服从指数分布,故障部件不能修复如新且部件故障后不能立即得到修理的假设下进行可靠性研究.采用补充变量法和广义马尔科夫理论,得到了系统的瞬时可用度、可靠度等可靠性指标的Laplace变换表达式以及系统首次故障前的平均时间.A linear constructive - （ n - 1 ） - out - of - n（G） repariable system is studied in this paper. It is assumed that the working time and the repair time of any components are both exponentially disributed, any components after reparied is not as good as new and there is a delayed time before repaire. By using the method of supplementary variable and method of generalized Markov process, the Laplace transform expression of availability and reliability of the system are derived and the MTTFF is abtained.

关 键 词：n中取n-1好系统 广义马尔科夫过程 补充变量法 LAPLACE变换 

分 类 号：O213.2[理学—概率论与数理统计]