具有使用及维修优先权的三部件冷贮备系统的几何模型  

A Geometric Model for Three Components Cold Standby Repairable System with Priority in Repair and Use

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

机构地区：[1]燕山大学理工院,河北秦皇岛066004

出　　处：《数学的实践与认识》2015年第8期150-155,共6页Mathematics in Practice and Theory

基　　金：河北省教育厅计划项目(2007323);全国统计科研计划项目(2010LC33)

摘　　要：研究了两个不同型部件串联带有一个冷贮备部件的可修型冷贮备系统.假定三个部件的工作时间和维修时间均服从指数分布,对部件2的修理是几何维修而对部件1和3的修理则是修复如新,且部件2比部件3有优先使用权和优先维修权.在这些假设下,运用补充变量法与几何过程理论,得出了系统可靠度,首次故障前平均时间,可用度,瞬时故障频度和修理工空闲的概率等可靠性指标.This paper deals with the two-dissimilar-unit cold standby repairable system with a cold standby. Assume that the working time and the repair time distributions of the three components are exponential distribution, the repair of component 2 is geometrical repair and the repair of component 1 and 3 is as good as new, but compared with component 3, component 2 are given priority in repair and use. Under these assumptions, using the geometric process and the method of supplementary variable, it is obtained that some system reliability indices such as the system reliability, the system average working time to first failure, availability, ROCOF and the idle probability of the repairman are educed.

关 键 词：几何过程 补充变量 优先权 MARKOV过程 LAPLACE变换 

分 类 号：O213.2[理学—概率论与数理统计]