关于TCP窗口大小过程的长时间行为
On the long time behavior of the TCP window size process
摘要：
TCP窗口大小过程出现在著名的传输控制协议的建模中，该协议用于通过Internet进行数据传输。这个连续时间马尔可夫过程取其值于$[0,\infty)$，是遍历的和不可逆的。它属于加法增加乘法减少过程类。样本路径是分段线性确定性的，动力学的全部随机性来自跳跃机制。这个过程的几个方面已经在文献中进行了研究。在本文中，我们主要得到了定量估计的收敛到平衡，在$W_1$ Wasserstein耦合距离，过程和它的嵌入链。
英文摘要：
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. It belongs to the Additive Increase Multiplicative Decrease class of processes. The sample paths are piecewise linear deterministic and the whole randomness of the dynamics comes from the jump mechanism. Several aspects of this process have already been investigated in the literature. In the present paper, we mainly get quantitative estimates for the convergence to equilibrium, in terms of the $W_1$ Wasserstein coupling distance, for the process and also for its embedded chain.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
