Limit results for Markovian models of TCP

Abstract
We study in this paper the throughput of a TCP connec- tion performing ideal congestion avoidance. With respect to existing studies published on the same topic, we determine upper and lower bounds for the throughput of a TCP connection experiencing an ar- bitrary constant loss. We then derive exact convergence res ults when the loss probability becomes arbitrarily small. A remarkab le prop- erty of the results obtained in this paper is that they justif y a poste- riori constants, which appear in the approximation of the th roughput and which has been observed earlier via simulation or experiments. The analysis is performed by assuming a finite and infinite max imum congestion window size.

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