不同型多部件温贮备系统可靠度计算的算法实现  

Algorithm implementation of reliability calculation for different types of multi-components warm standby system

作　　者：杨顺令 董秋仙[1] 占志文 刘君[1] 刘汝良[1] YANG Shunling;DONG Qiuxian;ZAN Zhiwen;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6期530-536,542,共8页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金面上项目(72071099)。

摘　　要：针对多部件温贮备系统,随着部件数的增加,可靠度难以精确求解的问题,本文采用算法研究n部件温贮备系统的可靠度的计算。假设系统由1个部件和n-1个温贮备部件组成,转换开关完全可靠,各部件的工作寿命和贮备寿命都服从指数分布、所有随机变量均相互独立。首先求出两部件、三部件、四部件可靠度的解析式,然后研究可靠度解析式的项数和系数的规律性,运用算法得出n部件温贮备系统的可靠度,最后从少部件温贮备系统、多部件冷贮备系统和同型多部件温贮备系统三方面实例验证算法的正确性。In response to the challenge of accurately calculating the reliability of the multi-components warm standby system as the number of components increases,this paper employed an algorithm to achieve the reliability of n components warm standby system.It was assumed that the system consisted of one component and n-1 warm standby components,with a completely reliable switching mechanism,and where theworking lifetimes and standby lifetimes of each component followed exponential distributions and were mutually independent.Firstly,analytical formulas for the reliability of the warm standby system with two,three and four components were obtained.Then the regularity of the number of items and coefficients of the analytical formula of reliability was studied,and the reliability of n components warm standby system was realized by using the algorithm.Finally,the correctness of the algorithm was verified by three examples of small components warm standby system,multi-components cold standby system and the same multi-components warm standby system.

关 键 词：多部件 温贮备 可靠度 指数分布 

分 类 号：O213.2[理学—概率论与数理统计]