Performance Modeling and Network Management for Self-similar Traffic

  • Gilberto Mayor
  • John Silvester
Part of the The International Series in Engineering and Computer Science book series (SECS, volume 557)


Since the discovery of the self-similar nature of network traffic, researchers were able to propose new traffic models [Mayor96d, Norros94] that are better able to mimic the long-range dependence phenomenon exhibited by real network traffic. Nevertheless, since most of the existing queueing theory is based on the assumption of Markovian models, there are few analytical results dealing with an ATM queueing system driven by a self-similar process [Addie95b, Duffield95, Likhanov95, Mayor96d, Parulekar96, Ryu96a]. In this work, we give an overview of traffic models and analytical tools capable of computing tail probabilities of an ATM queueing system driven by a self-similar process. We also explain the meaning of long-range dependence and its impact on network performance and network management protocols, by revisiting Mandelbrot’s work[Mandelbrot69]. We propose a traffic characterization based on a fractional Brownian motion envelope process. By using this characterization, we show a framework derived in [Mayor96d] capable of computing bandwidth and buffer requirements in ATM networks driven by aggregate, heterogeneous, self-similar processes.


Self-similar ATM envelope process and fractional brownian motion 


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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Gilberto Mayor
    • 1
  • John Silvester
    • 2
  1. 1.McKinsey & Company, Inc. Sao PauloSao PauloBrazil
  2. 2.Department of Electrical Engineering-SystemsUniversity of Southern CaliforniaLos AngelesUSA

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