Network queue and loss analysis using histogram-based traffic models

  • Authors:
  • Enrique Hernández-Orallo;Joan Vila-Carbó

  • Affiliations:
  • Departamento de Informática de Sistemas y Computadores, Universidad Politécnica de Valencia, Camino de Vera, S/N, Valencia, Spain;Departamento de Informática de Sistemas y Computadores, Universidad Politécnica de Valencia, Camino de Vera, S/N, Valencia, Spain

  • Venue:
  • Computer Communications
  • Year:
  • 2010

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Abstract

This paper proposes a new performance analysis for obtaining the queue length distribution in a finite size buffer system. This analysis uses a simple traffic model based on histograms that captures the arrival rate distribution on a network model. In order to reflect the second-order statistics (long-range dependence and self-similarity) of network traffic this basic model has been extended using the Hurst parameter. The buffer occupancy distribution is obtained using these traffic models and defining a new stochastic process that works directly with histograms. The loss probability and network delay distribution can be obtained using this distribution. The estimation of the expected traffic loss probability is a key issue in provisioning Quality of Service in telecommunications networks. This paper shows that the proposed buffer occupancy distribution and loss probability calculations techniques are very precise.