A Novel Description of Multifractal Phenomenon of Network Traffic Based on Generalized Cauchy Process

  • Authors:
  • Ming Li;S. C. Lim;Huamin Feng

  • Affiliations:
  • School of Information Science & Technology, East China Normal University, Shanghai 200062, P.R. China;Faculty of Engineering, Multimedia University, 63100 Cyberjaya, Selanger, Malaysia;Key Laboratory of Security and Secrecy of Information, Beijing Electronic Science and Technology Institute, Beijing 100070, P.R. China

  • Venue:
  • ICCS '07 Proceedings of the 7th international conference on Computational Science, Part III: ICCS 2007
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

Let D(n) and H(n) be the fractal dimension and the Hurst parameter of traffic in the nth interval, respectively. Thus, this paper gives the experimental variance analysis of D(n) and H(n) of network traffic based on the generalized Cauchy (GC) process on an interval-by-interval basis. We experimentally infer that traffic has the phenomenon Var[D(n)] Var[H(n)]. This suggests a new way to describe the multifractal phenomenon of traffic. That is, traffic has local high-variability and global robustness. Verifications of that inequality are demonstrated with real traffic.