Volume 87, Number 6, September 2009
|Number of page(s)||5|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||01 October 2009|
Scaling and memory in recurrence intervals of Internet traffic
Department of Electronic Science and Technology, University of Science and Technology of China Hefei Anhui, 230026, PRC
2 Department of Physics, University of Fribourg - Chemin du Musée 3, 1700 Fribourg, Switzerland
3 Department of Modern Physics, University of Science and Technology of China - Hefei Anhui, 230026, PRC
Corresponding author: firstname.lastname@example.org
Accepted: 3 September 2009
By studying the statistics of recurrence intervals, , between volatilities of Internet traffic rate changes exceeding a certain threshold q, we find that the probability distribution functions, , for both byte and packet flows, show scaling property as . The scaling functions for both byte and packet flows obey the same stretching exponential form, , 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.
PACS: 89.75.-k – Complex systems / 89.75.Da – Systems obeying scaling laws / 89.20.Hh – World Wide Web, Internet
© EPLA, 2009
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