标题： 无线网络中资源分配问题的弱帕累托边界特征——对无蜂窝系统的启示 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： 我们确立了网络配置提供公平且高效服务的充要条件。为了用一个统一框架涵盖尽可能多的应用场景，我们以公理化的方式定义效用，并用单一涉及单调范数的不等式表达可行网络配置所受的约束。在此设定下，我们证明了一个必要且充分的条件：即通过选择在单调范数约束中达到等式的网络配置，可实现弱帕累托意义上的效率。此外，对于满足该等式的特定配置，我们进一步刻画了判断该配置是否对活跃链路公平的标准。我们首次通过基于现代无蜂窝系统中可实现速率区域功率向量的简单参数化，来展示理论发现的潜在影响。 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.