摘要
研究了一个环形的ｎ中取相邻２则失效的可修系统，假定每个部件的工作时间和维修时间均为指数分布且故障部件能够修复如新。利用本文引进的广义转移概率定义导出了系统的状态转移概率，当ｎ已知时，我们能够获得系统可靠度的Ｌ－变换和首次故障前的平均时间的精确表达式。最后还列表给出ｎ＝２，３，４，５及６时，各系统的可靠度和首次故障前的平均时间的结果。
In this paper, a circular consecutive 2/ n(F) repairable system is studied.Assume that the working time and repair time of each component are both exponentially distributed, and each component after repair is as good as new.By using the definition of generalized transition probability, we derive the state transition probability of the system.Whenever n is given, we can obtain the exact formulas of the system reliability (or its Laplace transformation) and the system MTTFF (mean time to first failure).Finally, for n =2,3,4,5 and 6,the results of reliability and MTTFF of the corresponding system are presented in a table.
出处
《系统工程理论与实践》
EI
CSCD
北大核心
1998年第7期50-55,共6页
Systems Engineering-Theory & Practice
基金
国家自然科学基金
江苏省自然科学基金
关键词
相邻2/n(F)系统
可靠度
可靠性理论
consecutive 2/n(F) system
reliability
MTTFF
generalized transition probability
Q matrix
