کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1155807 | 958772 | 2010 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the long time behavior of the TCP window size process
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات (عمومی)
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چکیده انگلیسی
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,∞)[0,∞), and 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 W1W1 Wasserstein coupling distance, for the process and also for its embedded chain.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 120, Issue 8, August 2010, Pages 1518–1534
Journal: Stochastic Processes and their Applications - Volume 120, Issue 8, August 2010, Pages 1518–1534
نویسندگان
Djalil Chafaï, Florent Malrieu, Katy Paroux,