Scheduling periodic messages on a shared link without buffering

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Maël Guiraud, Yann Strozecki
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Abstract

Cloud RAN, a novel architecture for modern mobile networks, relocates processing units from antenna to distant data centers. This shift introduces the challenge of ensuring low latency for the periodic messages exchanged between antennas and their respective processing units. In this study, we tackle the problem of devising an efficient periodic message assignment scheme under the constraints of fixed message size and period without contention nor buffering. We address this problem by modeling it on a common network topology, wherein contention arises from a single shared link servicing multiple antennas. While reminiscent of coupled task scheduling, the introduction of periodicity adds a unique dimension to the problem. We study how the problem behaves with regard to the load of the shared link, and we focus on proving that, for load as high as possible, a solution always exists and it can be found in polynomial time. The main contributions of this article are two polynomial time algorithms, which find a solution for messages of any size and load at most 2/5 or for messages of size one and load at most \(\phi - 1\), the golden ratio conjugate. We also prove that a randomized greedy algorithm finds a solution on almost all instances with high probability, shedding light on the effectiveness of greedy algorithms in practical applications.

Abstract Image

无需缓冲即可在共享链路上调度定期信息
云 RAN 是现代移动网络的一种新型架构,它将处理单元从天线迁移到遥远的数据中心。这种转移带来了一个挑战,即如何确保天线与各自处理单元之间的周期性信息交换具有较低的延迟。在本研究中,我们要解决的问题是,在固定信息大小和周期的约束下,设计一种既无争用又无缓冲的高效定期信息分配方案。我们通过在普通网络拓扑结构上建模来解决这个问题,其中争用产生于为多个天线提供服务的单个共享链路。虽然让人联想到耦合任务调度,但周期性的引入为问题增添了一个独特的维度。我们研究了该问题在共享链路负载方面的表现,并重点证明了在负载尽可能高的情况下,解决方案总是存在的,而且可以在多项式时间内找到。本文的主要贡献在于两个多项式时间算法,它们可以为任意大小的信息和最多 2/5 的负载,或者为大小为 1 的信息和最多 \(\phi - 1\)的负载(黄金比率共轭)找到一个解决方案。我们还证明了一种随机贪婪算法几乎能在所有情况下都高概率地找到解,从而揭示了贪婪算法在实际应用中的有效性。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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