Chapter 6. Logarithmic Many-sources Asymptotics

  1. Michel Mandjes

Published Online: 11 MAY 2007

DOI: 10.1002/9780470515099.ch6

Large Deviations for Gaussian Queues: Modelling Communication Networks

Large Deviations for Gaussian Queues: Modelling Communication Networks

How to Cite

Mandjes, M. (2007) Logarithmic Many-sources Asymptotics, in Large Deviations for Gaussian Queues: Modelling Communication Networks, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470515099.ch6

Author Information

  1. Korteweg-de Vries Institute for Mathematics, University of Amsterdam, The Netherlands

Publication History

  1. Published Online: 11 MAY 2007
  2. Published Print: 20 APR 2007

ISBN Information

Print ISBN: 9780470015230

Online ISBN: 9780470515099

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Keywords:

  • logarithmic many-sources asymptotics;
  • many-sources asymptotics - loss curve;
  • loss curve and variance function duality;
  • loss curve convexity and concavity;
  • ‘decreasing marginal buffering benefits’;
  • describing ‘worst-case traffic’;
  • combined packet/burst level model

Summary

This chapter contains sections titled:

  • Many-sources asymptotics: the loss curve

  • Duality between loss curve and variance function

  • The buffer-bandwidth curve is convex