摘要
为了解决开关寿命为连续随机变量且部件工作故障的修理时间与贮备故障后的修理时间各不相同的问题,利用Markov过程理论和Laplace变换方法,研究了有优先权的两不同型部件和两不同修理工组成的温贮备可修系统.假定部件的工作寿命、贮备寿命、工作故障的修理时间和贮备故障的修理时间均服从不同的指数分布,得到了该系统的可靠度Laplace变换和系统的首次故障前平均时间的解析表达式.
In order to solve continuous random variable of the switch lifetime and the repair time of the work failure and the repair time of the standby failure are not the same problem, by using Markov process theory and Laplace transform method, a warm standby repairable system with two different components and two different repairman and priority is studied. Assumed that working life of components, standby life, the repair time of work failure and the repair time of the standby failure are subject to different distributions, the reliability of the system and the system mean time to first failure of the analytical expression are obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2011年第22期174-181,共8页
Mathematics in Practice and Theory
基金
河北省自然科学基金(F2011201063)
河北省教育厅科学技术研究计划(2009107)
