Investigating Scaling Behavior of End-to-End Delay

Hanlin Sun, Yuehui Jin, Yidong Cui, Shiduan Cheng
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Abstract

End-to-end delay is an important QoS metric and has received much research attention. Recently, the multifractal detrended fluctuation analysis (MFDFA) is widely used as a robust tool to investigate the scale behavior of non-stationary time series. In this paper, we use MFDFA to analyze the scale behavior of end-to-end delay series. Based on ping series of both home and international paths, we find the 2-order correlation of delay series is analysis scale, path, and (collection) time dependent: may be biscaling or even multiscaling, persistent or anti-persistent. In addition, we observe that delay series may be multifractal at both fine and coarse scales. We also examine the source of multifractality for delay series and find the source is much complex.
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端到端延迟的扩展行为研究
端到端时延是一种重要的QoS度量,受到了广泛的关注。近年来,多重分形去趋势波动分析(MFDFA)作为一种研究非平稳时间序列尺度行为的有力工具得到了广泛的应用。在本文中,我们使用MFDFA来分析端到端延迟序列的尺度行为。基于国内外路径的ping序列,我们发现时延序列的二阶相关性是分析尺度、路径和(集合)时间相关的:可以是等比尺度甚至多尺度的,可以是持久的或反持久的。此外,我们观察到延迟序列在细尺度和粗尺度上都可能是多重分形的。我们还研究了延迟序列的多重分形的来源,发现其来源是非常复杂的。
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