3个不同部件的串-并联系统修复非新的可靠性  

Reliability analysis of a three component series-parallel connected system with repaired is not as good as new

作　　者：王俊元[1] 常迎香[1] 

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《黑龙江大学自然科学学报》2014年第6期766-770,共5页Journal of Natural Science of Heilongjiang University

基　　金：甘肃省自然科学基金资助项目(1208RJZA111)

摘　　要：对3部件串-并联混合系统,假设部件的工作时间和修理时间均服从指数分布,且故障部件均修复非新时,研究系统的可靠性。通过补充变量法以及广义马尔科夫过程,得到系统的瞬时可用度、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 three component series-parallel connected system is studied. It is assumed that the working time and the repair time of any components are both exponentially distributed, any components after reparied is not as good as new. 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 MTYFF is obtained.

关 键 词：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]