三部件串联可修系统的可靠性模型  

Reliability Model of Three Parts Series Repairable System

作　　者：王盈 Ying Wang(School of Mathematics and Physics, University of South China, Hengyang Hunan)

机构地区：[1]南华大学数理学院,湖南衡阳

出　　处：《应用数学进展》2019年第1期81-87,共7页Advances in Applied Mathematics

基　　金：南华大学研究生科学基金项目“可维修旁联系统可靠性分析与计算”(编号:2018KYY089).

摘　　要：本文针对不服从指数分布的部件进行研究,通过补充变量法建立三个不同型部件串联可修系统模型,并通过拉普拉斯变换求解其瞬时可用度与稳态可用度。再对单、双部件结果进行验证,推广至n部件串联可修系统并取特例进行验证。希望能解决现实生活中关于不同型部件系统的相关计算。This paper studies the components that do not obey the exponential distribution, establishes the series repairable system model of three different types of components by supplementary variable method, and solves the instantaneous availability and steady availability by Laplace transform. The results of single component and double components are verified, and extended to n components series repairable systems and verified with special cases. Hope to be able to solve the relevant calculation of different component systems in real life.

关 键 词：补充变量法 拉普拉斯变换 稳态可用度 

分 类 号：O21[理学—概率论与数理统计]