排队模型中计算队长分布的递推式

从队长过程本身出发,利用拉普拉斯变换工具,直接研究了M/G/1/∞型排队模型的队长分布,获得在任意时间t的瞬时队长分布的拉普拉斯变换递推表达式,以及便于计算的平稳分布的递推式,最后在一些特殊排队模型中给出了更实用的递推式。

Recursion Formulas for Caculating Distributions of Queue Lengths in Queueing Models

From the starting of the queue length process itself,this paper directly studies the distribution of the queue length in the M/G/1/∞ queueing model by using the Laplace transform tool.The recursion express of the Laplace transform of the transient queue length distribution at any time t and the recursion formula of the equilibrium distribution for calculating conveniently are obtained.At last some more useful recursion formulas for calculating are given in several special queueing models.