以概率p进入M/G/1排队系统的等待时间

Waiting Time Entering on M/G/1 Queue Systems with Probability p During Vacation

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。讨论在假期内到达顾客以概率p进入M/G/1多重休假排队系统的逗留时间和等待时间,利用L-S变换和母函数法,得到了任意时刻到达顾客的逗留时间和等待时间的表达式以及系统平衡时顾客的逗留时间和等待时间。

Queue system with vacations is an important model of queue theory. In this article we study M/G/1 queue system during vacations the arriver enter system with probability p. Using the method of L-S transformation and generated function, we Get the expression formulaion of delaying time and the distributing generated function of waiting time.