Edge computing has been recently introduced as a way to bring computational capabilities closer to end users of modern network-based services, in order to support existent and future delay-sensitive applications by effectively addressing the high propagation delay issue that affects cloud computing. However, the problem of efficiently and fairly manage the system resources presents particular challenges due to the limited capacity of both edge nodes and wireless access networks, as well as the heterogeneity of resources and services' requirements. To this end, we propose a techno-economic market where service providers act as buyers, securing both radio and computing resources for the execution of their associated end users' jobs, while being constrained by a budget limit. We design an allocation mechanism that employs convex programming in order to find the unique market equilibrium point that maximizes fairness, while making sure that all buyers receive their preferred resource bundle. Additionally, we derive theoretical properties that confirm how the market equilibrium approach strikes a balance between fairness and efficiency. We also propose alternative allocation mechanisms and give a comparison with the market-based mechanism. Finally, we conduct simulations in order to numerically analyze and compare the performance of the mechanisms and confirm the theoretical properties of the market model.

中文翻译：

---

移动边缘计算中计算和无线电资源的联合管理：市场均衡方法

边缘计算最近被引入作为一种使计算能力更接近现代基于网络的服务的最终用户的方式，以便通过有效解决影响云计算的高传播延迟问题来支持现有和未来的延迟敏感应用程序。然而，由于边缘节点和无线接入网络的容量有限，以及资源和服务需求的异构性，有效和公平地管理系统资源的问题提出了特殊的挑战。为此，我们提出了一个技术经济市场，其中服务提供商充当买家，确保无线电和计算资源执行其相关最终用户的工作，同时受到预算限制。我们设计了一种采用凸规划的分配机制，以找到最大化公平性的唯一市场均衡点，同时确保所有买家都获得他们喜欢的资源束。此外，我们推导出理论属性，确认市场均衡方法如何在公平和效率之间取得平衡。我们还提出了替代分配机制，并与基于市场的机制进行了比较。最后，我们进行模拟以数值分析和比较机制的性能并确认市场模型的理论特性。我们推导出理论属性，以确认市场均衡方法如何在公平和效率之间取得平衡。我们还提出了替代分配机制，并与基于市场的机制进行了比较。最后，我们进行模拟以数值分析和比较机制的性能并确认市场模型的理论特性。我们推导出理论属性，以确认市场均衡方法如何在公平和效率之间取得平衡。我们还提出了替代分配机制，并与基于市场的机制进行了比较。最后，我们进行模拟以数值分析和比较机制的性能并确认市场模型的理论特性。