双开关的三部件冷贮备系统可靠性分析  

Reliability Analysis of a Three-component Cold Standby System with Double-switch

作　　者：皮志敏 董秋仙[1] 刘君 PI Zhi-min;DONG Qiu-xian;LIU Jun(School of Science,Nanchang University,Nanchang 330031,China)

机构地区：[1]南昌大学数学系

出　　处：《数学的实践与认识》2018年第24期183-194,共12页Mathematics in Practice and Theory

基　　金：江西省教育厅资助项目(GJJ4114)

摘　　要：双开关的冷贮备系统,会提高冷贮备部件的使用效率.讨论由三个不同型部件和双开关组成的冷贮备不可修系统和可修系统,转换开关是完全可靠的,且每次只能转换一个开关.首先假设部件的工作寿命和维修时间都服从指数分布、所有随机变量均相互独立,求出了不可修系统可靠度.然后考虑在工作期间系统会受到泊松冲击过程和自然退化过程的影响,分析了在泊松冲击下双开关的三部件冷贮备系统的退化模型,得到了系统可靠度的计算公式.最后利用马尔可夫过程理论讨论了可修系统,在优先权的条件下求出系统可靠性的稳态指标、平均指标、系统可靠度以及首次故障前平均时间.The cold standby system with double switches could improve the efficiency of cold standby component.In this paper,three components non-repairable system and repairable system with a single cold standby unit and double switches are discussed,switches are completely reliable and only one switch can be converted every time.Firstly,the intrinsic lifetime and repair lifetime of all components including the cold standby are supposed to obey the exponential distributions,all the random variables are independent of each other,it can obtain the reliability about non-repairable system.Then considering that the system will be affected by the Poisson shock process and continuous degradation process,the reliability of degradation model for three-component cold standby system with double-switch is discussed,the formula of system reliability can be obtained.Finally,it discusses the state indexes,average indexes,system reliability and mean time to first failure of repairable system under the condition of priority by using Markov process theory.

关 键 词：双开关 可靠度 泊松冲击 退化模型 优先权 

分 类 号：O213.2[理学—概率论与数理统计]