修理设备可修且部件修复非新的温贮备可修系统  

Facility-repaired and Non-new Workpiece-composed Repairable Warm Standby System

作　　者：张民悦[1] 连爱玲[1] 

机构地区：[1]兰州理工大学理学院,兰州730050

出　　处：《四川理工学院学报（自然科学版）》2017年第4期74-80,共7页Journal of Sichuan University of Science & Engineering(Natural Science Edition)

基　　金：甘肃省自然科学基金(3ZS042-B25-016);甘肃省科技计划资助(1508RJZA101)

摘　　要：分析了温贮备可修系统的又一个新模型,引入了修理设备可修这一概念,即修理设备工作期间发生故障时,先对其进行修理,当修理设备修复后,继续投入使用中。同时考虑修理工多重休假的情形,进一步对两部件组成的修复非新的温贮备可修系统研究。假定部件1的工作时间、贮备时间,部件2的工作时间、贮备时间及修理设备的寿命均服从指数分布,部件2的修理时间、修理工休假时间及修理设备的修理时间均服从一般连续型分布,利用补充变量法将其扩充为广义Markov过程,建立各状态概率的微分方程,并应用Laplace变换及其反演,得到系统主要可靠性指标。A new model of warm fund maintenance system is analyzed,and the concept of repairable repair equipment is introduced,which means repair equipment can repair itself during working and continue to put into using. At the same time,considering the situation of repairman with multiple vacations,the two part of the new non warm standby repairable system is studied. It is assumed that the working time,standby time of part 1,and the working time,standby time and repair equipment life of part 2 obey the exponential distribution; the repair time,the repairman vacation time and repair equipment repair time of part 2 obey the general distribution. By using the supplementary variable method,which is extended to generalized Markov process,differential equations for the state probabilities is established,and the main system reliability index is obtained by the application of Laplasse transform and its inversion.

关 键 词：修理设备可修 修复非新 补充变量法 广义Markov过程 LAPLACE变换 

分 类 号：O213.2[理学—概率论与数理统计]