Optimal Delay-Outage Analysis for Noise-Limited Wireless Networks With Caching, Computing, and Communications

Optimal Delay-Outage Analysis for Noise-Limited Wireless Networks With Caching, Computing, and Communications
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DOI:
10.1109/twc.2022.3204738
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发表时间:
2021-11
影响因子:
10.4
通讯作者:
Ming-Chun Lee;A. Molisch
Ming-Chun Lee;A. Molisch
中科院分区:
计算机科学1区
文献类型:
--
作者:
Ming-Chun Lee;A. Molisch

文献摘要

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针对联合执行缓存、计算与通信(3C)的网络进行性能评估与优化,近来受到了广泛关注,因为许多新兴应用都需要3C功能。然而,文献中的研究大多聚焦于此类网络的特定算法与设置,而对其理论层面的理解与特性描述则探讨较少。为填补这一空白,本文对具备联合3C功能且受噪声限制的无线边缘网络,就延迟 - 中断权衡进行了渐近(尺度定律)分析。具体而言,假设用户对不同任务的请求遵循齐夫分布,我们推导出了最优缓存策略的解析表达式。在此基础上,对于齐夫参数小于1的情形,我们进一步推导出最优中断概率作为延迟及其他网络参数函数的闭式表达式。接着,对于齐夫参数大于1的情形,我们推导出了最优中断概率上下界的闭式表达式。我们依据推导得出的表达式给出了见解与阐释。计算机仿真验证了我们的分析结果与见解。
Performance assessment and optimization for networks jointly performing caching, computing, and communication (3C) has recently drawn significant attention because many emerging applications require 3C functionality. However, studies in the literature mostly focus on the particular algorithms and setups of such networks, while their theoretical understanding and characterization has been less explored. To fill this gap, this paper conducts the asymptotic (scaling-law) analysis for the delay-outage tradeoff of noise-limited wireless edge networks with joint 3C. In particular, assuming the user requests for different tasks following a Zipf distribution, we derive the analytical expression for the optimal caching policy. Based on this, we next derive the closed-form expression for the optimum outage probability as a function of delay and other network parameters for the case that the Zipf parameter is smaller than 1. Then, for the case that the Zipf parameter is larger than 1, we derive the closed-form expressions for upper and lower bounds of the optimum outage probability. We provide insights and interpretations based on the derived expressions. Computer simulations validate our analytical results and insights.