On the flexibility of M/G/∞ processes for modeling traffic correlations

  • Authors:
  • M. E. Sousa-Vieira;A. Suárez-González;J. C. López-Ardao;M. Fernández-Veiga;C. López-García

  • Affiliations:
  • Department of Telematics Engineering, University of Vigo, Spain;Department of Telematics Engineering, University of Vigo, Spain;Department of Telematics Engineering, University of Vigo, Spain;Department of Telematics Engineering, University of Vigo, Spain;Department of Telematics Engineering, University of Vigo, Spain

  • Venue:
  • ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
  • Year:
  • 2007

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Abstract

With the increasing popularity of multimedia applications, video data represents a large portion of the traffic in modern networks. Consequently, adequate models of video traffic, characterized by a high burstiness and a strong positive correlation, are very important for the performance evaluation of network architectures and protocols. This paper presents new models for traffic with persistent correlations based on the M/G/∞ process. We derive two new discrete distributions for the service time of the M/G/∞ queueing system, flexible enough to give rise to processes whose correlation structure is able to exhibit both Short-Range Dependence (SRD) and Long-Range Dependence (LRD). The corresponding simulation models are easy to initialize in steady state. Moreover, as the two distributions have subexponential decay, we can apply a highly efficient and flexible generator of synthetic traces of the resulting M/G/∞ processes.