This paper studies a federated learning (FL) system, where \textit{multiple}
FL services co-exist in a wireless network and share common wireless resources.
It fills the void of wireless resource allocation for multiple simultaneous FL
services in the existing literature. Our method designs a two-level resource
allocation framework comprising \emph{intra-service} resource allocation and
\emph{inter-service} resource allocation. The intra-service resource allocation
problem aims to minimize the length of FL rounds by optimizing the bandwidth
allocation among the clients of each FL service. Based on this, an
inter-service resource allocation problem is further considered, which
distributes bandwidth resources among multiple simultaneous FL services. We
consider both cooperative and selfish providers of the FL services. For
cooperative FL service providers, we design a distributed bandwidth allocation
algorithm to optimize the overall performance of multiple FL services,
meanwhile cater to the fairness among FL services and the privacy of clients.
For selfish FL service providers, a new auction scheme is designed with the FL
service owners as the bidders and the network provider as the auctioneer. The
designed auction scheme strikes a balance between the overall FL performance
and fairness. Our simulation results show that the proposed algorithms
outperform other benchmarks under various network conditions.

本文研究了无线网络中多个联邦学习服务共享通用无线资源的机制，提出了一个两级资源分配框架，包括对联邦学习轮次长度进行优化的内部服务资源分配和分别分配带宽资源给多个联邦学习服务的外部服务资源分配，并介绍了两种不同的服务提供者策略。在此基础上，提出了一种分布式带宽分配算法和一种新的拍卖方法，以优化整体性能和公平性。模拟结果表明，所提出的算法在各种网络条件下优于其他基准方法。