ALCOMFT-TR-01-33

Vincent Dumas, Fabrice Guillemin and Philippe Robert
Limit results for Markovian models of TCP
INRIA. Work package 2. April 2001.

Abstract: We study in this paper the throughput of a TCP connection 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 arbitrary constant loss. We then derive exact convergence results when the loss probability tends to 0. A remarkable property of the results obtained in this paper is that they justify a posteriori constants, which appear in the approximation of the throughput and which has been observed earlier via simulation or experiments. The analysis is performed by assuming a finite and infinite maximum congestion window size.

Postscript file: ALCOMFT-TR-01-33.ps.gz (67 kb).