本文从队长过程本身出发,直接研究了具有反馈的M/G/1型排队模型的队长分布,获得了在任意时间t的瞬时队长分布的拉普拉斯变换的递推表达式,以及便于计算的平稳队长分布的递推表达式.值得注意的是本文分析的方法简洁、直观.
From the starting of the queue length process itself, this paper directly studies the distribution of the queue length in the M/G/1 queuing system with feedback. The recursion express of the Laplace transform which the transient queue length distribution at any time t and the recursion formulas of the equilibrium distribution for calculating conveniently are obtained. It is noting that the method provided in this paper is concise and intuitive.