Light tail asymptotics in multidimensional reflecting processes for queueing networks

被引：0
|
作者：
Masakiyo Miyazawa
机构：
[1] Tokyo University of Science,
来源：
TOP | 2011年 / 19卷
关键词：
Queueing network; Reflecting random walk; Semi-martingale reflecting Brownian motion; Stationary distribution; Tail asymptotic; Tail decay rate; Large deviations; Light tail; Stability; Stationary inequality; Server collaboration; Join the shortest queue; Markov additive process; Convergence domain; Multidimensional moment generating function; 60K27; 90B15; 60G50; 60J70; 60F10;
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学科分类号：
摘要：
We are concerned with the stationary distributions of reflecting processes on multidimensional nonnegative orthants and other related processes, provided they exist. Such stationary distributions arise in performance evaluation for various queueing systems and their networks. However, it is very hard to obtain them analytically, so our interest is directed to analytically tractable characteristics. For this, we consider tail asymptotics of the stationary distributions.
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页码：233 / 299
页数：66
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