开关寿命连续型的不同型部件冷贮备系统可靠度  

Reliability of cold standby system with different types of components and continuous lifetime switch

作　　者：杨顺令 董秋仙[1] 刘君[1] 刘汝良[1] YANG Shunling;DONG Qiuxian;LIU Jun;LIU Ruliang(School of Mathematics and Computer Science,Nanchang University,Nanchang 330031,China)

机构地区：[1]南昌大学数学与计算机学院,江西南昌330031

出　　处：《南昌大学学报（理科版）》2023年第1期10-15,20,共7页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(72071099)。

摘　　要：为了讨论开关寿命连续型的不同型多部件冷贮备不可修系统的可靠度,假设系统由1个部件和n-1个冷贮备部件组成,转换开关寿命和部件的工作寿命都服从指数分布、所有随机变量均相互独立。首先根据两部件、三部件、四部件冷贮备系统可靠度以及冷贮备系统可靠度的定义推导了多部件开关寿命指数型的冷贮备系统可靠度关于部件个数的递推关系式,从而得出该系统可靠度的理论表达式,最后从开关完全可靠的多部件冷贮备系统这方面来实例验证该系统可靠度函数的正确性。In order to discuss the reliability of cold standby unrepairable system with different types of multi-components and continuous lifetime switch, it was assumed that the system consists of one component and n-1 cold standby components.Furthermore, the life of the transfer switch and the working life of the components were assumed to obey the exponential distribution and all the random variables were independent of each other.Firstly, in line with the cold standby system reliabilities of two components, three components, four components and in the light of the definition of cold standby system reliability, the recursion formula for the reliability of continuous lifetime switch and multi-components cold standby system on the number of component was derived.Then the theoretical formula of the system reliability was obtained.Finally, an example was given to verify the correctness of the reliability function of the multi-components cold standby system.

关 键 词：多部件 冷贮备 可靠度 指数分布 

分 类 号：O213.2[理学—概率论与数理统计]