Transient moments of the TCP window size process
Transient moments of the TCP window size process
复制标题
TCP窗口大小过程的瞬态时刻
DOI：
10.1239/jap/1208358959
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Jsh Johan van Leeuwaarden
中科院分区：
文献类型：
--
作者：
A. Löpker;Jsh Johan van Leeuwaarden
TCP窗口大小过程可以建模为分段确定性马尔可夫过程，该过程线性增加，并在泊松时间经历向下跳跃。我们提出了这个窗口大小过程的瞬态分析。我们的主要结果是暂态矩的拉普拉斯变换。导出了整数矩和分数矩的公式，以及收敛到稳态速度的显式表征。我们方法的核心是无穷小生成器和Dynkin鞅。
The TCP window size process can be modeled as a piecewise-deterministic Markov process that increases linearly and experiences downward jumps at Poisson times. We present a transient analysis of this window size process. Our main result is the Laplace transform of the transient moments. Formulae for the integer and fractional moments are derived, as well as an explicit characterization of the speed of convergence to steady state. Central to our approach are the infinitesimal generator and Dynkin's martingale.