失效信息已知时r/n(G)表决系统的剩余寿命预测  

Residual life prediction of r-out-of-n:G systems with known failure information

作　　者：刘鸿彬 赵骞 贾祥 郭波[1] LIU Hongbin;ZHAO Qian;JIA Xiang;GUO Bo(College of Systems Engineering, National University of Defense Technology, Changsha 410073, China;College of Information Communication, National University of Defense Technology, Xi’an 710106, China)

机构地区：[1]国防科技大学系统工程学院,湖南长沙410073 [2]国防科技大学信息通信学院,陕西西安710106

出　　处：《系统工程与电子技术》2022年第5期1738-1746,共9页Systems Engineering and Electronics

基　　金：国家自然科学基金(71801219,72071208);湖南省自然科学基金(2019JJ50730)资助课题。

摘　　要：剩余寿命预测在可靠性工程中十分重要。而r/n(G)表决系统由于结构复杂,对于其剩余寿命研究相对较少。本文假定部件寿命服从指数威布尔分布,在部件失效信息已知的情况下,推导得到了表决系统剩余寿命期望的解析式,也分别给出了失效信息未知和部件寿命服从威布尔分布这两种特殊情况下的解析式。仿真实验证明了所提方法的准确性和有效性,也表明忽略部件失效信息对系统的剩余寿命进行预测,所得结果偏差很大。In reliability engineering,it is of great significance to predict the residual life of systems.However,research on residual life of r-out-of-n:G system is insufficient due to its complex structure.Assuming that the lifetime of components follows exponential-Weibull distribution,the closed-form of residual life for r-out-of-n:G system is derived when the component failure information is known.Specifically,the closed-forms are also presented when failure information is unknown and component lifetime follows Weibull distribution.The simulation results demonstrate the effectiveness and accuracy of the proposed method and further indicate that prediction results of residual life for systems deviate greatly by neglecting the failure information of the components.

关 键 词：剩余寿命 失效信息 指数威布尔分布 r/n(G)表决系统 

分 类 号：TP114.3[自动化与计算机技术—控制理论与控制工程]