Congestion in large balanced multirate links

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Abstract

In this paper we obtain approximations for various performance measures in a multirate link sharing bandwidth under an insensitive sharing mechanism called balanced fairness. Balanced fairness can be viewed as the large system limit of proportional fairness. For a large system, we obtain closed form expressions for the calculation of long run fraction of time that the system is congested, the probability that an arriving flow will not obtain its maximum bit rate and the average fraction of time that an arriving flow is not allocated its maximum bit rate while in the system. The techniques are based on local limit theorems for convolution measures.

Original languageEnglish
Title of host publicationProceedings of the 2011 23rd International Teletraffic Congress, ITC 2011
Pages182-189
Number of pages8
Publication statusPublished - 1 Nov 2011
Event2011 23rd International Teletraffic Congress, ITC 2011 - San Francisco, CA, United States
Duration: 6 Sept 20119 Sept 2011

Publication series

NameProceedings of the 2011 23rd International Teletraffic Congress, ITC 2011

Conference

Conference2011 23rd International Teletraffic Congress, ITC 2011
Country/TerritoryUnited States
CitySan Francisco, CA
Period6/09/119/09/11

Keywords

  • Multirate systems
  • balanced fairness
  • congestion
  • flow-level models
  • insensitivity
  • large system scaling

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