带有泊松波的两部件温贮备系统可靠性分析  

Reliability analysis of a two-component warm standby system attacked by Poisson shocks

作　　者：卢芳香 董秋仙[1] 张芳[1] Nelly 陈琴[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（工科版）》2014年第2期200-204,共5页Journal of Nanchang University(Engineering & Technology)

摘　　要：为了讨论带有泊松冲击波的两部件贮备系统可靠度,假设该系统由两串联部件和1个温贮备部件以及1个修理工组成。部件工作寿命和维修时间都服从指数分布,外界冲击为泊松冲击波,利用马尔可夫过程理论和Laplace变换方法在是否有优先权2种情况下分别得到了该系统的可靠度、故障频度、平均周期等可靠性指标,为进一步研究外界冲击下温贮备系统的可靠性提供参考。The reliability of a two-component warm standby repairable system was proposed with a repairman, which component of two in the system has a warm standby. The component can fail due to intrinsic or external factors such as shocks. When the intrinsic lifetime and repair time of all the three components were supposed to obey the exponential distributions by using Markov process theory, probability theory and the Laplace transform, the expresses of Laplace transform about probability of the system＇ s station and the relevant reliability indices of the system without the priority and with the priority, such as the reliability, steady state frequency, the mean cycle time of the system and so on, are obtained. These indices offer some references for us to evaluate the system.

关 键 词：泊松冲击 温贮备 马尔可夫过程 LAPLACE变换 优先权 可靠性指标 

分 类 号：O211.6[理学—概率论与数理统计]