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Simple relationships among moments of queue lengths in product form queueing networks

机译:产品形式排队网络中队列长度时刻之间的简单关系

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Obtains simple relationships among partial derivatives and moments of mean queue lengths in product form queueing network models. It is shown that the mean value analysis equations can be used to obtain recursive expressions which make it possible to easily evaluate these moments in a mean value analysis type recursion. These results are also considered important in applications such as optimization problems and sensitivity analysis. Finally, it is shown that some known mean value equations can be easily derived from the results proven.
机译:在产品形式排队网络模型中获得偏导数和平均队列长度矩之间的简单关系。结果表明,平均值分析方程可用于获得递归表达式,从而可以在平均值分析类型的递归中轻松评估这些矩。在优化问题和灵敏度分析等应用中,这些结果也被认为很重要。最后,表明可以从已证明的结果中轻松得出一些已知的平均值方程。

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