修理工单重休假且两部件相依一部件温贮备的三部件退化可修系统  

A repairable deteriorating system with vacation of repairman,two dependent components and a warm standby component

作　　者：张欣欣[1] 孟宪云[1] 陈胜强[1] 刘文娟[1] 谭丽姣[1] 

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《黑龙江大学自然科学学报》2014年第4期425-436,共12页Journal of Natural Science of Heilongjiang University

基　　金：全国统计科学研究计划项目(2010LC33)

摘　　要：研究由三个不同部件和一个修理工组成的可修型退化系统。修理工的休假服从一般连续分布,部件1,2为相依部件,并且工作寿命服从二维指数分布,修理时间及其他随机变量均服从不同参数的指数分布。部件的修理有修复非新和修复如新,对部件规定其优先修理权和优先使用权。应用几何过程理论、补充变量法和拉普拉斯变换等数学工具,得到了系统瞬时可用度、可靠度以及系统首次故障前平均时间、修理工的休假概率等可靠性指标。A repairable deteriorating system consisting of three dissimilar components and one repairman is delt with. Assume the vacation time of repairman is a general continuous distribution,the working life of components 1 and 2 obedience two-dimensional exponential distribution,and the repair time of that two components and other random variables are exponentially distributed. The repair of that three components have geometry and as good as new,and further the component to be stipulated for its priority in use and repair. By using the geometric process theory,the supplementary variable method and the Laplace transform tool,some important reliability indices are obtained,such as system availability and the Laplace expression of average working time to first failure.

关 键 词：几何过程 补充变量法 休假 马尔可夫过程 拉普拉斯变换 

分 类 号：O213[理学—概率论与数理统计]