维修有优先权的且含有r个修理工的环形相邻k/n(F)可修系统分析

研究由n个部件及r个修理工组成的环形相邻k/n(F)可修系统的可靠性问题,假定每个部件工作时间和维修时间均服从指数分布,故障部件可以修复如新.利用广义转移概率的定义和关键部件优先维修的规则,求得该系统的状态转移概率矩阵,并给出一个具体的实例相邻2-out-of-6:F环形可修系统,获得该系统的可靠度及重要可靠性指标.

Analysis of repairable circular consecutive-k-out-of-n: F systems with reparation priority and r repairmen

The reliability problem of circular consecutive k-out-of-n:F repairable system composed of n components and r repairmen was studied.It was assumed that working time and repair time of each component would observe exponential distribution and the component in trouble would be repaired to be as new one.Using the definition of generalized transition probability and the rule of repair priority for key component,the matrix of state transition probability of this system was derived.A typical and actual circular consecutive 2-out-of-6:F system was given and the reliability and important reliability indices of this system were obtained.