Towards mean field theory of wireless networks

  • Authors:
  • Vladimir Marbukh

  • Affiliations:
  • National Institute of Standards and Technology, Gaithersburg, MD

  • Venue:
  • ACM SIGMETRICS Performance Evaluation Review - Special issue on the fifth workshop on MAthematical performance Modeling and Analysis (MAMA 2003)
  • Year:
  • 2003

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Abstract

This paper proposes to leverage a large body of results on performance evaluation and optimization of wire-line networks for obtaining relevant results for wireless networks by using mean field approximation based on the "effective" link capacities. We derive mean field equations for the effective link capacities and demonstrate how these capacities can be used for evaluating the throughput regions as a function of the channel model as well as transmission and routing protocols. We also discuss possibility of using mean field approximation for assessing the quality of service as a function of the external demands within the throughput region.