| Título: | Total variation estimates for the TCP process |
| Autores: |
Bardet, Jean-Baptiste; Université de Rouen Christen, Alejandra; Pontificia Universidad Católica de Valparaíso Guillin, Arnaud; Université Blaise Pascal Malrieu, Florent; Université de Rennes 1 Zitt, Pierre-André; Université de Bourgogne |
| Fecha: | 2013-01-04 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: | Peer-reviewed Article |
| Tema: |
Network Protocols; Queueing Theory; Additive Increase Multiplicative Decrease Processes (AIMD); Piecewise Deterministic Markov Processes (PDMP); Exponential Ergodicity; Coupling 68M12 ; 60K30 ; 60K25 ; 90B18 |
| Descripción: | 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, ∞), 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. |
| Idioma: | Inglés |
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