Scaling and memory in recurrence intervals of Internet traffic

• 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
• Fu, Zhong-Qian Department of Electronic Science and Technology, University of Science and Technology of China Hefei, China
• Zhou, Tao Department of Physics, University of Fribourg, Switzerland - Department of Modern Physics, University of Science and Technology of China, Hefei, China
01.10.2009
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.
Faculty
Faculté des sciences
Department
Physique
Language
• English
Classification
Physics