标题： 无线网络中资源分配问题的弱帕累托边界表征——对无小区系统的启示 显示英文标题

标题： Characterization of the weak Pareto boundary of resource allocation problems in wireless networks -- Implications to cell-less systems

摘要： 我们建立了网络配置的必要且充分条件，以在明确的意义上提供公平且高效的效用。 为了用统一的框架覆盖尽可能多的应用，我们考虑以公理化方式定义的效用，对可行网络配置施加的约束用涉及单调范数的单一不等式来表示。 在此设置中，我们证明了获得在弱帕累托意义上有效的网络配置的必要且充分条件是选择在单调范数约束中达到等式的配置。 此外，对于满足此等式的给定配置，我们提出了一个标准，以确定该配置对于活动链路而言是否可以被认为是公平的。 我们通过首次提出基于功率向量的现代无基站系统中可实现速率区域的简单参数化方法，展示了理论发现的潜在含义，这些系统受到实际失真的影响。 显示英文摘要

摘要： We establish necessary and sufficient conditions for a network configuration to provide utilities that are both fair and efficient in a well-defined sense. To cover as many applications as possible with a unified framework, we consider utilities defined in an axiomatic way, and the constraints imposed on the feasible network configurations are expressed with a single inequality involving a monotone norm. In this setting, we prove that a necessary and sufficient condition to obtain network configurations that are efficient in the weak Pareto sense is to select configurations attaining equality in the monotone norm constraint. Furthermore, for a given configuration satisfying this equality, we characterize a criterion for which the configuration can be considered fair for the active links. We illustrate potential implications of the theoretical findings by presenting, for the first time, a simple parametrization based on power vectors of achievable rate regions in modern cell-less systems subject to practical impairments.