Stochastic Models and their Deterministic Limits

  • R. Srikant
Part of the Systems & Control: Foundations & Applications book series (SCFA)


In the previous chapters, we have used deterministic models to derive congestion control schemes and AQM schemes that are fair and achieve high utilization. However, in the real Internet, there are many sources of randomness:
  • unresponsive flows which do not respond to congestion indication,

  • the probabilistic nature of packet marking by an AQM scheme,

  • asynchronous updates among sources,

  • the inability to precisely model window flow control mechanism, and

  • the initial ramp-up phase (for example, slow start in TCP flow control) of the congestion control mechanism.


Time Slot Stochastic Model Queue Length Congestion Control Source Rate 


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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • R. Srikant
    • 1
  1. 1.Coordinated Science Laboratory and Department of General EngineeringUniversity of IllinoisUrbanaUSA

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