  The TCP window size process appears in the modeling of the famous
Transmission Control Protocol used for data transmission over the Internet.
This continuous time Markov process takes its values in [0, \infty), is ergodic
and irreversible. The sample paths are piecewise linear deterministic and the
whole randomness of the dynamics comes from the jump mechanism. The aim of the
present paper is to provide quantitative estimates for the exponential
convergence to equilibrium, in terms of the total variation and Wasserstein
distances.
