Communication Network with Self-Similar Traffic

  • Boris Tsybakov
Chapter

Abstract

The paper is a review of some results on the discrete-time finite-buffer queueing system which models a communication network multiplexer fed by a self-similar cell traffic. The review includes also some new results. First, the definitions of second-order self-similar processes are given. Then, a queue model is introduced. It has a finite buffer, a number of servers with unit service time, and an input traffic which is an aggregation of independent source-active periods having Pareto-distributed lengths and arriving as Poisson batches. A source generates a Bernoulli sequence of cells. The asymptotic bounds to the buffer-overflow and cell-loss probabilities are given in some cases. The bounds show a true asymptotic behaviour of the probabilities. The bounds decay polynomially with buffer-size growth and exponentially with excess of channel capacity over traffic rate.

Keywords

Active Period Channel Capacity Buffer Size Loss Probability Traffic Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Boris Tsybakov
    • 1
  1. 1.QUALCOMM Inc.San DiegoUSA

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