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arXiv 2010.04787cs.ITmath.IT
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时变文件流行度下最小信息年龄的缓存更新策略

Cache Updating Strategy Minimizing the Age of Information with Time-Varying Files' Popularities

Haoyue Tang, Philippe Ciblat, Jintao Wang, Michele Wigger, Roy D. Yates

摘要:

我们考虑更新策略的本地缓存下载时间敏感的文件从远程服务器通过带宽受限的链接。本地用户根据流行度分布从缓存中随机请求文件,该流行度分布根据马尔可夫链结构随时间变化。我们通过其信息年龄(AoI)来衡量所请求的时间敏感文件的新鲜度。然后,目标是通过适当地设计本地缓存的下载策略来最小化所有请求文件的平均AoI。为了实现这一目标,原来的问题是放松和铸造成一个约束马尔可夫决策问题(CMDP),我们使用拉格朗日方法和线性规划来解决。受放松问题的解决方案的启发,我们提出了一个实用的缓存更新策略,满足原问题的所有约束。在一定的假设下,实际的更新策略被证明是最佳的原问题中的渐近制度的大量文件。对于有限数量的文件,我们通过数值模拟显示了我们的实际更新策略比传统的平方根律策略(这是最佳的固定非时变文件流行度)的收益。

英文摘要:

We consider updating strategies for a local cache which downloads time-sensitive files from a remote server through a bandwidth-constrained link. The files are requested randomly from the cache by local users according to a popularity distribution which varies over time according to a Markov chain structure. We measure the freshness of the requested time-sensitive files through their Age of Information (AoI). The goal is then to minimize the average AoI of all requested files by appropriately designing the local cache's downloading strategy. To achieve this goal, the original problem is relaxed and cast into a Constrained Markov Decision Problem (CMDP), which we solve using a Lagrangian approach and Linear Programming. Inspired by this solution for the relaxed problem, we propose a practical cache updating strategy that meets all the constraints of the original problem. Under certain assumptions, the practical updating strategy is shown to be optimal for the original problem in the asymptotic regime of a large number of files. For a finite number of files, we show the gain of our practical updating strategy over the traditional square-root-law strategy (which is optimal for fixed non time-varying file popularities) through numerical simulations.

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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