In this paper we analyze the performance of a TCP-like flow control mechani
sm in a lossy environment. The transmission rate in the control scheme that
we consider has a linear growth rate; whenever a loss occurs, the transmis
sion rate is halved. This approximates the performance of several versions
of TCP that divide their congestion window by two when a loss is detected.
We propose a mathematical model that allows to account for burstiness in th
e loss process. We compute the expected transmission rate and its moments a
t some potential loss instants, and provide useful implicit and explicit ex
pressions for the Laplace Stieltjes transform. This allows us to compute ex
plicitly the time average of the transmission rate as well as its moments,
We show that the time average of the transmission rate is indeed sensitive
to the distribution of losses, and not just to the average loss rate: for a
given average loss rate, we show that the time average of the transmission
rate increases with the burstiness of losses. (C) 2000 Elsevier Science B.
V. All rights reserved.