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.
翻译:最近,由于许多新兴应用需要3C功能,对联合进行缓存、计算和通信(3C)的网络的绩效评估和优化引起了人们的极大关注,然而,文献中的研究主要侧重于这类网络的特定算法和设置,而其理论理解和定性则较少探讨。为填补这一空白,本文件用3C联合计算,对无线边缘网络的超时平衡进行了无线网络的无线点(缩放法)分析。特别是,假设用户在Zipf分发后对不同任务的要求,我们为最佳缓存政策提供了分析表达。在此基础上,我们接下来得出Zipf参数小于1.的延迟函数和其他网络参数,以优化断析概率的封闭表达方式表示。然后,对于Zipf参数大于1的情况,我们得出了最高和最低误差概率的闭式表达方式。我们根据衍生的表达方式提供了洞察和解释。计算机模拟证实了我们的分析结果和洞察力。