—A general framework is developed for networks with flows that use all available congestion signals to regulate their rates. It is conceptually a generalization of the existing network utility maximization (NUM) theory for homogeneous congestion control. Instead of a convex optimization characterization in NUM, a game with multiple convex optimizations is formulated to characterize equilibria in such a network. Examples are provided to motivate the needs of this general theory. We also provide some basic properties of the game and point out some possible future directions along this line.
Ao Tang, Lachlan L. H. Andrew