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Steady state and scaling limit for a traffic congestion model

Ilie GrigorescuMin Kang — 2010

ESAIM: Probability and Statistics

In a general model (AIMD) of transmission control protocol (TCP) used in internet traffic congestion management, the time dependent data flow vector () > 0 undergoes a biased random walk on two distinct scales. The amount of data of each component () goes up to ()+ with probability 1- () on a unit scale or down to (), 0 < < 1 with probability () on a logarithmic scale, where ...

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