Asymptotic Behavior of a Critical Fluid Model for a Processor Sharing Queue via Relative Entropy
Asymptotic Behavior of a Critical Fluid Model for a Processor Sharing Queue via Relative Entropy
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通过相对熵的处理器共享队列的临界流体模型的渐近行为
DOI：
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发表时间：
2016
期刊：
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通讯作者：
Ruth J. Williams
中科院分区：
文献类型：
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作者：
Amber L. Puha;Ruth J. Williams
在本文中，我们开发了一种新的方法来研究临界负载的处理器共享队列的流体模型解的渐近行为。为此，我们引入了一个相对熵的概念与测量值流体模型的解决方案。与[12]中使用的方法相比，[12]中使用的方法不容易推广到处理器共享队列的网络，我们期望本文中开发的方法更鲁棒。事实上，我们预计，类似的概念，涉及相对熵可能有助于理解的渐近行为的临界流体模型解决方案的随机网络下自然描述的各种资源共享协议的测量值的过程。
In this paper, we develop a new approach to studying the asymptotic behavior of fluid model solutions for critically loaded processor sharing queues. For this, we introduce a notion of relative entropy associated with measure-valued fluid model solutions. In contrast to the approach used in [12], which does not readily generalize to networks of processor sharing queues, we expect the approach developed in this paper to be more robust. Indeed, we anticipate that similar notions involving relative entropy may be helpful for understanding the asymptotic behavior of critical fluid model solutions for stochastic networks operating under various resource sharing protocols naturally described by measure-valued processes.