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    尺度变换下Internet流量的Gamma特征

    Gamma Distribution of the Internet Traffic Zoomed

    • 摘要: 网络流量特征分析与研究对流量产生和流量工程具有重要意义.现有工作集中在特定尺度下考察分析.基于不同地点采集得到的流量集合,采用尺度变换的方法,以时间间隔与数据包个数作为尺度变换的对象,分析不同粒度下流量特征,发现网络流量在特定尺度范围之上满足Gamma分布的特征.且在传输层上表现有所不同,TCP流量在特定尺度范围之上满足Gamma分布,UDP流量则在任何尺度都无明确的统计分布特征.

       

      Abstract: While there exists an extensive body of prior work on Internet traffic characterization, there has been very little attempt to study the impact of aggregation on Internet traffic. The existed work focus on characterization of the Internet traffic by the single granularity. By zooming the granularity of the observation from two different points of view, we analyze in depth the properties of several real traces collected from two big sites. These traces can be divided into two groups. One is from China and the other is from Japan. By the method of non-parametric test, we find that the Gamma distribution can fit the Internet traffic well when the granularity zoomed is greater than a special value regardless of the observation types. Furthermore, we demonstrate that TCP traffic shows the same behavior with the total traffic and it also has the Gamma distribution characterization, but none of the typical distributions can fit the UDP traffic well in any granularity from any perpective. In particular, our results stay fairly consistent over time and different traces from different sites. Our finding will be helpful to the research on the traffic modelling and future Internet protocols and architectures.

       

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