泊松冲击下两水平修理策略的冷贮备可修系统的可靠性分析  

Reliability Analysis of Cold Standby Repairable System with Two Level Repair Strategy under Poisson Shock

作　　者：梁丽丹 Liang Lidan(College of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2023年第3期13-19,共7页Journal of Yili Normal University：Natural Science Edition

基　　金：伊犁师范大学校级科研项目(2021YSYB070).

摘　　要：研究了有泊松冲击且系统采用两水平修理策略的冷贮备系统,系统中部件的工作寿命和修理时间服从负指数分布,当泊松冲击量超过工作部件的阈值或由于工作部件本身的寿命的影响时,部件失效.使用马尔可夫分析法,讨论了系统的指标,并分析了系统在不同参数变化下的指标情况.A cold standby system with Poisson shock and two-level repair strategy is studied in this paper,the working life and repair time of components in the system obey negative exponential distribution,the part fails when the Poisson shock exceeds the threshold of the working part or is affected by the life of the working part itself.Markov analysis is used and the index of the system are discussed.The index of the system under different parameter is analyzed,which is consistent with the practical application.

关 键 词：泊松冲击 两水平修理策略 冷贮备系统 可靠性指标 

分 类 号：O213.2[理学—概率论与数理统计]