Self-similar and fractal nature of internet traffic

  • Authors:
  • D. Chakraborty;A. Ashir;T. Suganuma;G. Mansfield Keeni;T. K. Roy;N. Shiratori

  • Affiliations:
  • JGN R&D project, Telecommunication Advancement Organization (TAO), Tohoku University office;Innovative IP Architecture Center in NTT Communications, Japan;Research Institute of Electrical Communication of Tohoku University, Japan;President/CEO of Cyber Solutions Inc., Japan.;Saha Institute of Nuclear Physics, Kolkata, India;Research Institute of Electrical Communication (RIEC), Tohoku University, Japan

  • Venue:
  • International Journal of Network Management
  • Year:
  • 2004

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Abstract

The self-similar bursty Internet traffic is usually characterized by the Hurst parameter (H). Such a process is also seen to possess fractal characteristics in time described by a parameter (β), with multifractals in most cases. We observe that these highly stochastic traffics have fractals in flow density too, described by a fractal dimension (D), also with the possibiliy of multifractals as in the former. This requires another parameter for the description of Internet traffic, besides the usual self-similarity parameter β or H and the different simulations or models worked out to understand the Internet traffic to reproduce the characteristics as found in the present work. We also find a notable self-similarity feature of the autocorrelations in the data and its aggregates, in all the cases studied.