Chapter 10. Generalized Processor Sharing

  1. Michel Mandjes

Published Online: 11 MAY 2007

DOI: 10.1002/9780470515099.ch10

Large Deviations for Gaussian Queues: Modelling Communication Networks

Large Deviations for Gaussian Queues: Modelling Communication Networks

How to Cite

Mandjes, M. (2007) Generalized Processor Sharing, in Large Deviations for Gaussian Queues: Modelling Communication Networks, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470515099.ch10

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:

  • generalized processor sharing (GPS);
  • large-buffer regime;
  • logarithmic asymptotics for probability;
  • overflow probability generic bound;
  • lower bound on decay rate;
  • delay asymptotics;
  • large-buffer asymptotics with Gaussian input

Summary

This chapter contains sections titled:

  • Preliminaries on GPS

  • Generic upper and lower bound on the overflow probability

  • Lower bound on the decay rate: class 2 in underload

  • Upper bound on the decay rate: class 2 in underload

  • Analysis of the decay rate: class 2 in overload

  • Discussion of the results

  • Delay asymptotics