基于广义马尔可夫过程的多部件并联可修复系统稳态可用度分析  

Steady-state Availability Analysis of Repairable Systems with Multiple Components in Parallel Based on Generalized Markov Process

作　　者：孙明明 吴栋 牛建超 解禾[1] 岳龙飞 SUN Ming-ming;WU Dong;NIU Jian-chao;XIE He;YUE Long-fei(Reliability and Environmental Engineering Center,Fifth Institute of Electronics of the Ministry of Industry and Information Technology,Guangzhou 510610;Technology Center,AVIC Cheng Du Aircraft Industrial(GROUP)Co.,Ltd.,Chengdu 610092)

机构地区：[1]工业和信息化部电子第五研究所可靠性与环境工程中心,广州510610 [2]航空工业成都飞机工业(集团)有限责任公司技术中心,成都610092

出　　处：《环境技术》2020年第2期115-118,共4页Environmental Technology

摘　　要：基于广义马尔可夫过程的可修复系统可用度解析表达式求解较难。因此,值得探索,本文所研究的并联可修复系统由n个同型部件构成,且部件平均故障间隔时间分布服从指数分布,故障后修复时间分布服从一般连续型分布。运用补充变量法,建立基于广义马尔可夫过程的可修复系统可用度计算模型,得到系统的偏微分-积分方程组,经过拉普拉斯变换,得到系统可用度稳态解析表达式。It is difficult to solve the analytical expression of availability of repairable system based on generalized Markov process.Therefore,it is worth exploring.The parallel repairable system studied in this paper consists of n homogeneous components,and the mean time between failures of the components obeys the exponential distribution,and the repair time distribution after failures follows the general continuous distribution.The supplementary variable method is used to establish the availability calculation model of the repairable system based on the generalized Markov process,and the system’s partial differential-integral equations are obtained.After Laplace transform,the steady-state analytical expression of system availability is obtained.

关 键 词：可用度 可修复系统 拉普拉斯变换 补充变量 广义马尔可夫过程 

分 类 号：N945.17[自然科学总论—系统科学]