中文摘要：

针对输入率可变的休假排队系统是一种重要的排队论模型,对M/G/1多重休假排队系统中,服务员休假中到达顾客以概率p（0≤p≤1）进入的情形进行了研究,利用嵌入马尔可夫链与更新过程的方法,得到了离去时刻队长分布的母函数的表达式和系统平衡时离去时刻留在系统中的平均顾客数L.

英文摘要：

Queue system with vacations is an important model of queue theory. In this article we study the queue length of M/G/1 queue system during vacations the arrivers enter system with probability p. Getting the expression of distributing generated function of departure time queue length and the average customer number which stays in the system of departure time when the system is in equilibrium.