TCP Modeling in the Presence of Nonlinear Window Growth

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Source: French National Institute for Research in Computer Science and Control

Date: January 2008

Type: White Paper

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Overview: TCP congestion control is often analyzed using linear-increase multiplicative-decrease models for window variation. This paper develops a model for TCP that accounts for both sub linearity and limitation of window increase. Sub linear window growth is observed when the round-trip time of the connection increases with the window size. The limitation is due to the window advertised by the receiver. First, the paper derives the required conditions for the stability of the model. Then, it writes the Kolmogorov equation under Markovian assumptions. The model is solved analytically for some particular cases.

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