串联系统贮备部件的优选与可靠性分析  

Preferably reserve component and reliability analysis of series system

作　　者：韩欣蕊 董秋仙[1] 陈琴[1] 梁叶子 刘汝良[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）》2016年第2期191-195,共5页Journal of Nanchang University(Engineering & Technology)

基　　金：江西省教育厅科学技术研究基金资助项目(GJJ14114)

摘　　要：针对不同型三部件串联系统,讨论了如何增加贮备部件可使系统可靠度最优以及增加贮备部件后的系统可靠性。假设系统中有2个可供贮备的部件,在转换开关完全可靠的情况下,分析得到在可靠度较小的2个部件上分别增加贮备部件可使系统可靠度最优。对于增加贮备部件后的五部件串联系统,给出了系统状态定义的新方法,并在此种状态定义方法下推导出了带有n个冷贮备的2n+1部件的状态个数表达式。计算系统状态转移概率,利用MATLAB软件计算得到了系统的一系列可靠性指标表达式,并通过实例进行分析。This article discussed three components in series for different types of systems. Discussed how to increase the reserve component enables optimum system reliability,and analyzed the reliability of the system after the reserve component. It was assumed that there were two cold standby units for the system. In the case of the switch completely reliable,the analysis can obtain increased system reliability optimal reserve components in the smaller of the two parts of reliability. For the five-member system that increasing the reserve components in series,a new method to define the system state,and given the number of the expression with cold standby members in this state definition method,has been the state transition probability,Finally,using MATLAB software,calculated a series of reliability indices and analyzed by example.

关 键 词：可靠度指标 冷贮备 串联可修系统 指数分布 马尔可夫过程 

分 类 号：O211.6[理学—概率论与数理统计]