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arXiv 1704.07091cs.NI
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时变到达率和服务率下的低延迟服务的瞬态排队分析

A Transient Queueing Analysis under Time-varying Arrival and Service Rates for Enabling Low-Latency Services

Wonjun Hwang, Yoora Kim, Kyunghan Lee

摘要:

了解网络会话的详细会话行为对于在Internet上实现低延迟服务至关重要。特别是当链路队列中的分组到达和服务速率随时间变化时,而且当会话是短暂的时,分析相应的队列行为作为时间的函数,这涉及瞬态分析,变得非常具有挑战性。在本文中,我们提出并开发了一个新的分析框架,解剖下随时间变化的到达和服务率,甚至在不稳定的条件下的瞬态队列行为。我们的框架是能够回答关键问题,在设计低延迟服务,如时间相关的概率分布的队列长度;瞬时或时间平均违反概率的队列长度超过一定的阈值;和时间的分数在间隔$[0, t]$在队列长度超过一定的阈值。我们通过将其预测结果与统计模拟结果进行比较来验证我们的框架,并确认我们的分析足够准确。我们的分析框架在设计低延迟服务的有效性的广泛的演示表明,其预测能力的瞬态队列行为在不同的时变分组到达和服务模式可以是一个很高的实用价值。

英文摘要:

Understanding the detailed queueing behavior of a networking session is critical in enabling low-latency services over the Internet. Especially when the packet arrival and service rates at the queue of a link vary over time and moreover when the session is short-lived, analyzing the corresponding queue behavior as a function of time, which involves a transient analysis, becomes extremely challenging. In this paper, we propose and develop a new analytical framework that anatomizes the transient queue behavior under time-varying arrival and service rates even under unstable conditions. Our framework is capable of answering key questions in designing low-latency services such as the time-dependent probability distribution of the queue length; the instantaneous or time-averaged violation probability that the queue length exceeds a certain threshold; and the fraction of time during an interval $[0, t]$ at which the queue length exceeds a certain threshold. We validate our framework by comparing its prediction results over time with the statistical simulation results and confirm that our analysis is accurate enough. Our extensive demonstrations on the efficacy of the analytical framework in designing low-latency services reveal that its prediction ability for the transient queue behavior in diverse time-varying packet arrival and service patterns can be of a high practical value.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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