A Self-Similar Point Process Through Fractal Construction

  • Authors:
  • Manjunath A. Krishnam;Anand Venkatachalam;Jeffrey M. Capone

  • Affiliations:
  • -;-;-

  • Venue:
  • NETWORKING '00 Proceedings of the IFIP-TC6 / European Commission International Conference on Broadband Communications, High Performance Networking, and Performance of Communication Networks
  • Year:
  • 2000

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Abstract

A self-similar point process is developed by embedding a process with bursty behavior over timescales. This embedding is not arbitrary, but achieved through a model which itself has fractal patterns. This model decomposes the self-similar point process over its timescales in a manner that may be tractable for accurate characterization and control of packet traffic. The limiting behavior of the model is shown to possess the properties of a self-similar point process, namely, bursts of arrivals which have no (intrinsic) timescale. Furthermore, this model leads to efficient synthesis of such a process.