Distributed fair resource allocation in wireless multi-user multi-relay networks with heterogeneous rate constraints

This paper focuses on the problem of fair resource allocation in wireless multi-user multi-relay networks where both constant-rate users and variable-rate users exist. The problem is formulated as an optimization problem targeting at finding the Nash bargaining solution for the variable-rate users subject to a set of users' rate constraints and a set of relay power constraints. The formulated problem is proven to be a concave maximization problem, and the dual decomposition method is employed to find the optimal solution. Based on this method, a distributed algorithm is then proposed and its convergence is proved as well. Finally, simulations validate the convergence and fairness of the proposed algorithm.