M/P(areto)/1/K自相似排队模型的性能分析

M/P(areto)/1/K Self-similar Queue Model Performance Analysis

现有网络的业务流测量结果表明,在多种通信业务中业务流量存在自相似特性。研究了服务时间为Pareto分布情况下具有自相似特性的M/P(areto)/1/K排队过程。通过将M/P(areto)/1/K过程拟合为M/PH/1/K过程,获得了呼叫损失概率、平均排队队长等排队性能的近似解析解。仿真结果表明,研究得到的结果具有很高的精确度。

Recent traffic measurements of existing packet networks and their applications show that packet traffic exhibits the self-similar property over multiple time scales. A M/P（areto）/1/K self-similar queuing model of Pareto distribution service time is studied. Through the method that the M/P （areto）/1/K is simplified by M/ PH / 1/K. the asymptotic analyses of the queue performance including call blocking and average queue length is derived. Numerical results show that their high accuracy.