讨论专职修理工多重休假，修理设备可发生失效且可更换的k/n（G）表决可修系统.当系统中没有故障部件时，专职修理工开始一次休假，在此期间，若有工作部件发生故障，则立即指派普通修理工修理故障部件，一直持续到系统中无故障部件或专职修理工休假回来.利用马尔可夫过程理论和矩阵解法，给出了系统瞬态和稳态下的可用度和故障频度、可靠度、系统首次故障前的平均时间、修理设备处于更换状态的概率等指标的表达式.在此基础上，基于不同的初始条件研究了相关指标随时间的变化情况.最后，特殊情形的讨论验证了所得结果的正确性.
This paper studies a repairable k/n(G) system with expert repairman’s multiple vacations and replaceable repair facility. The expert repairman leaves for a vacation when there is no broken component. Once an operating component breaks down during his vacation period, it is repaired immediately by an ordinary repairman. The ordinary repairman becomes inactivated when there is no broken component or the expert returns from his vacation. By using the Markov process theory and the matrix solution method, we obtain the transient and the stationary of the system availability and the rate of occurrence of failures, the system reliability, the mean time to system failure, and the probability that the repair facility is being replaced. Further, we discuss the time-dependent behavior of these reliability measures under different initial states. Finally, special cases of the system are presented to show the correctness of our results.
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