Abstract: With the supplementary variable method, reliability analysis of a n-unit series repairable system with finite number of vacations is discussed. Some main reliability indexes of the system are obtained, such as the availability, the failure frequency, the probability that the system is waiting for repair, and the expected renewal time. Furthermore, special cases of the model are given and the profit of the system is considered.

Key words: OR, series system with vacations, supplementary variable method, failure frequency, profit

摘要： 本文采用补充变量法,讨论了修理工带有有限次休假的n部件串联可修系统的可靠性。得到了系统的可用度、失效频度、等待修理的概率和平均更新时间等主要可靠性指标,并给出了模型的特例及系统的效益分析。

关键词: 运筹学, 休假串联系统, 补充变量法, 失效频度, 效益