USE OF GROUP POISSON FLOW IN SIMULATION MODELING OF MODERN VIDEO TRAFFIC

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Abstract

The possibility of using a group Poisson flow for simulation modeling of modern video traffic is considered in relation to the approximation of the first and second order statistical characteristics of the queue created by the traffic in the transmission buffer. A method is proposed for determining the parameters of an approximating group Poisson flow, which consists of simultaneously minimizing the deviation of the dependencies of the mathematical expectation of the queue and the dispersion of the queue on the channel load, calculated using the formulas for the approximating flow, from similar dependencies of real traffic. As analytical formulas for the mathematical expectation and queue dispersion, formulas obtained using the interval method for a queuing system with one device and constant service time are used. The quality of the approximation is checked by simulation of the passage of a group Poisson flow with calculated parameters through a given queuing system.
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在现代视频流量仿真建模中使用分组泊松流
在对传输缓冲区流量所产生队列的一阶和二阶统计特征进行近似时,考虑了使用组泊松流对现代视频流量进行仿真建模的可能性。提出了一种确定近似组泊松流参数的方法,该方法包括同时最小化队列数学期望值和队列对信道负载的离散度的依赖性,这些依赖性是使用近似流的公式计算出来的,与实际流量的类似依赖性偏差最小。作为队列数学期望值和队列离散度的分析公式,我们使用了对具有一个设备和恒定服务时间的队列系统使用区间法得到的公式。通过模拟一组泊松流通过一个给定的排队系统,用计算出的参数来检验近似的质量。
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