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arXiv 1302.5945cs.NIcs.ITmath.ITmath.PR
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基于随机存取算法:流体限制和稳定性问题

Queue-Based Random-Access Algorithms: Fluid Limits and Stability Issues

Javad Ghaderi, Sem Borst, Phil Whiting

摘要:

我们使用流体极限来探索无线网络的(在)稳定性与基于随机接入算法。基于随机接入的方案是简单的,本质上是固有的分布式的,但提供的能力,以匹配最佳的吞吐量性能的集中式调度机制在广泛的场景。不幸的是,已经建立吞吐量最优的激活规则的类型可能导致过多的队列长度和延迟。使用更积极/持久的访问方案可以提高延迟性能,但不提供任何通用的最大稳定性保证。为了获得定性的洞察力和调查(在)更积极/持久的激活规则的稳定性,我们研究流体限制的动态缩放的空间和时间。在某些情况下,流体极限具有平滑的确定性特征,并保持最大的稳定性,而在其他情况下,它们表现出随机振荡特性,从而带来重大的技术挑战。在后一种情况下,更积极的接入方案继续在一些网络中提供最大的稳定性,但可能会导致其他网络的不稳定性。仿真实验验证了分析结果。

英文摘要:

We use fluid limits to explore the (in)stability properties of wireless networks with queue-based random-access algorithms. Queue-based random-access schemes are simple and inherently distributed in nature, yet provide the capability to match the optimal throughput performance of centralized scheduling mechanisms in a wide range of scenarios. Unfortunately, the type of activation rules for which throughput optimality has been established, may result in excessive queue lengths and delays. The use of more aggressive/persistent access schemes can improve the delay performance, but does not offer any universal maximum-stability guarantees. In order to gain qualitative insight and investigate the (in)stability properties of more aggressive/persistent activation rules, we examine fluid limits where the dynamics are scaled in space and time. In some situations, the fluid limits have smooth deterministic features and maximum stability is maintained, while in other scenarios they exhibit random oscillatory characteristics, giving rise to major technical challenges. In the latter regime, more aggressive access schemes continue to provide maximum stability in some networks, but may cause instability in others. Simulation experiments are conducted to illustrate and validate the analytical results.

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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