具有优先权的3部件冷贮备退化系统的几何过程模型  

Geometric process model for a cold standby degraded system of three components with priority

作　　者：张芳[1,2] 刘卫东[2] 董秋仙[1,2] 

机构地区：[1]南昌大学数学系,江西南昌330031 [2]南昌大学质量与可靠性研究室,江西南昌330031

出　　处：《南昌大学学报（理科版）》2015年第3期213-220,共8页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(71161018);江西省高校人文社会科学基金资助项目(GL1459)

摘　　要：研究3个不同型部件和一个修理工组成的冷贮备可修系统,针对3个部件的工作时间和维修时间都服从指数分布,部件2为部件1的冷贮备,部件3具有优先修理权且故障后可以修复如新,对于部件1、2故障后均不能修复如新的情况建立了该系统的一般模型,运用几何过程理论和补充变量法得到了系统的可用度、可靠度、首次故障前平均工作时间(MTTFF)、系统瞬时故障频度(ROCOF)和修理工空闲的概率等可靠性指标的Laplace变换式。A cold standby repairable system consisting of three different components and one repairman was investigated in this study.It was assumed that the working time and the repair time distributions of the three di？erent components were exponentially distributed.And component 2was a redundant of component 1.Component 3was given priority and it was found as good as new after repair,but component 1and component 2were not so well as new system.The system was analyzed using the geometric process and the method of supplementary variable under these assumptions.Some reliability could induce the system availability,reliability,MTTFF,ROCOF and the idle probability of the repairman.

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

分 类 号：O211.6[理学—概率论与数理统计]