Decentralized bandwidth control subject to two-layer constraints

This paper is concerned with the new bandwidth allocation model that considers the structural allocation constraints. Suppose that a system is composed of finite groups of users and the bandwidth assigned to each user and to each group of users has pre-specified upper and lower bounds. If each user is granted with the utility function satisfying the standard continuity and concavity conditions, the existence, uniqueness, fairness and optimality properties of the Nash equilibrium point in the allocation game are studied. To identify the equilibrium point, an algorithm proved to converge globally is proposed and illustrated with a numerical example.