Scaling and memory in recurrence intervals of Internet traffic
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Cai, Shi-Min
Department of Electronic Science and Technology, University of Science and Technology of China Hefei, China - Department of Physics, University of Fribourg, Switzerland
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Fu, Zhong-Qian
Department of Electronic Science and Technology, University of Science and Technology of China Hefei, China
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Zhou, Tao
Department of Physics, University of Fribourg, Switzerland - Department of Modern Physics, University of Science and Technology of China, Hefei, China
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Gu, Jun
Department of Electronic Science and Technology, University of Science and Technology of China Hefei, China
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Zhou, Pei-Ling
Department of Electronic Science and Technology, University of Science and Technology of China Hefei, China
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Published in:
- Europhysics Letters. - 2009, vol. 87, p. 68001
English
By studying the statistics of recurrence intervals, τ, between volatilities of Internet traffic rate changes exceeding a certain threshold q, we find that the probability distribution functions, Pq(τ), for both byte and packet flows, show scaling property as $P_{q}(\tau)=\frac{1}{\overline{\tau}}f(\frac{\tau}{\overline{\tau}})$. The scaling functions for both byte and packet flows obey the same stretching exponential form, f(x)=Aexp (-Bxβ), with β≈0.45. In addition, we detect a strong memory effect that a short (or long) recurrence interval tends to be followed by another short (or long) one. The detrended fluctuation analysis further demonstrates the presence of long-term correlation in recurrence intervals.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Physique
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Language
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Classification
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Physics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/301396
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