TY - JOUR
T1 - Total variation estimates for the TCP process
AU - Bardet, Jean Baptiste
AU - CHRISTEN , ALEJANDRA
AU - Guillin, Arnaud
AU - Malrieu, Florent
AU - Zitt, Pierre André
PY - 2013/2/8
Y1 - 2013/2/8
N2 - The TCP window size process appears in the modelling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in [0, ∞), 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.
AB - The TCP window size process appears in the modelling of the famous Transmission Control Protocol used for data transmission over the Internet. This continuous time Markov process takes its values in [0, ∞), 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.
KW - Additive Increase Multiplicative Decrease Processes
KW - Coupling
KW - Exponential Ergodicity
KW - Network Protocols
KW - Piecewise Deterministic Markov Processes
KW - Queueing Theory
UR - http://www.scopus.com/inward/record.url?scp=84873315473&partnerID=8YFLogxK
U2 - 10.1214/EJP.v18-1720
DO - 10.1214/EJP.v18-1720
M3 - Article
AN - SCOPUS:84873315473
VL - 18
JO - Electronic Journal of Probability
JF - Electronic Journal of Probability
SN - 1083-6489
ER -