中文摘要：

考虑基于Min（N，D）-策略控制的M／G／1可修排队系统，其中服务台在服务员忙期中可能发生故障．使用全概率分解技术和拉普拉斯变换工具，讨论了系统的排队指标，同时重点讨论了服务台的一些可靠性指标，即服务台首次失效前的寿命分布、不可用度和（0，t）时间内的平均失效次数．最后，通过建立系统的费用模型，用数值计算实例讨论了最优控制策略（N＊，D＊）．

英文摘要：

This paper considers the M/G/1 repairable queueing system with Min（N, D）-policy, in which the service station may fail during the server busy period. By using the total probability decomposition technique and employing the Laplace transform tool, the queueing indices of the system are discussed. Meanwhile, the emphasis is upon obtained some reliability indices of the service station, such as the probability distribution of the first failure time, the unavailability and the expected failure number during a given time interval （0, t）. Finally, we numerically determined the optimal control policy （N＊, D＊） under a constructed cost model.