排队模型中计算队长分布的递推式

Recursion Formulas for Caculating Distributions of Queue Lengths in Queueing Models

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。

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.