Queueing Systems

, Volume 53, Issue 1–2, pp 65–84 | Cite as

A queueing analysis of max-min fairness, proportional fairness and balanced fairness

  • T. BonaldEmail author
  • L. Massoulié
  • A. Proutière
  • J. Virtamo


We compare the performance of three usual allocations, namely max-min fairness, proportional fairness and balanced fairness, in a communication network whose resources are shared by a random number of data flows. The model consists of a network of processor-sharing queues. The vector of service rates, which is constrained by some compact, convex capacity set representing the network resources, is a function of the number of customers in each queue. This function determines the way network resources are allocated. We show that this model is representative of a rich class of wired and wireless networks. We give in this general framework the stability condition of max-min fairness, proportional fairness and balanced fairness and compare their performance on a number of toy networks.


Resource allocation Flow-level modeling Stability Insensitivity 


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Copyright information

© Springer Science + Business Media, LLC 2006

Authors and Affiliations

  • T. Bonald
    • 1
    Email author
  • L. Massoulié
    • 2
  • A. Proutière
    • 1
  • J. Virtamo
    • 3
  1. 1.France TelecomFrance
  2. 2.Microsoft ResearchCambridge
  3. 3.Helsinki University of TechnologyFinland

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