有优先权的三状态温贮备可修系统的可靠性分析  

Reliability analysis of 3-state warm standby repairable system with priority

作　　者：张建龙[1] 孟宪云[1] 刘海涛[1] 付钦慧[1] 李芳[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《辽宁工程技术大学学报（自然科学版）》2012年第1期98-101,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：全国统计科学研究计划基金资助项目(2010LC33)

摘　　要：针对两个不同的部件和一个修理工组成的温贮备可修系统,假设部件故障后有两种失效模式,部件1具有优先权,运用拉普拉斯变换工具和补充变量法对其进行了可靠性分析,得到了系统的可靠度、瞬时可用度、瞬时故障频度的拉普拉斯变换及系统首次故障前平均时间.由于三状态系统广泛存在于生产、生活中,因此研究三状态系统的可靠性分析具有一定实际意义和应用价值.In order to investigate the reliability of a warm standby system with two different components and a repairman,this study assumes the components have two failure modes with one component having a priority.Using Laplace transform tools and the method of supplementary variable,this study analyzes the system's reliability and obtains the Laplace transform formula of some reliability indexes of the system,i.e.,reliability,availability and the mean time to first failure.As the three-state system is widely applied in the production and real life,the reliability analysis of the system has some practical application value.

关 键 词：温贮备 优先权 可靠性 拉普拉斯变换 补充变量 马尔科夫过程 可用度 三状态 

分 类 号：O213.2[理学—概率论与数理统计]