摘要
本文考虑一个基本模型为M[x]/G[r]/1/∞的排队系统.引入了(r,N)-策略(也称为滞后系统).首先分析了嵌入马氏链{Qn,n∈N}的平稳分布,得到其概率母函数P(z),再利用半再生过程理论得到原系统的稳态队长分布的概率母函数π(z).
This paper consider the queueing system based on the M[x]/G[r]/1/ model.We introduced (r, N)-poIicy (with this policy system is called hysteretic system). At first,we analyzed the embedded Markov chain {Qn,n N}, and obtained the probability generation function P(z). Then by the semi-regeneration process theory, we obtianed the probability generation function of the number of customer in the system n(Z).
出处
《应用数学与计算数学学报》
2002年第2期45-52,共8页
Communication on Applied Mathematics and Computation
