马尔可夫链暂态分布的封闭随机界的计算

M. B. Mamoun, N. Pekergin
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引用次数: 7

摘要

在{3,2}中,我们定义了一类特殊的时间齐次离散时间马尔可夫链,称为C类,具有闭形式稳态解。在本文中,我们证明了这类特殊的暂态分布也有闭型解。因此,可以应用随机比较方法,通过封闭解来计算暂态分布的边界。这种方法可能对高速网络很有吸引力,在高速网络中,QoS要求是阈值,不需要精确的值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Computing Closed-Form Stochastic Bounds on Transient Distributions of Markov Chains
In {3, 2} we have defined a particular class of time homogeneous discrete time Markov chains, called class C, having closed-form steady-state solution. In this paper, we show that transient distributions of this particular class have also closed-form solutions. Therefore, it is possible to apply the stochastic comparison approach to compute bounds on transient distributions by means of the closed-form solutions. This approach may be attractive for high-speed networks, where QoS requirements are the thresholds and exact values are not necessary.
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