Joint Optimal Congestion, Multipath Routing, and Contention Control for Wireless Ad Hoc Networks

This letter focuses on jointly solving the congestion, multipath routing, and contention distributed control problem for WANETs. The objective is to find the end-to-end optimal source sessions rate at the transport layer, sub-flow rates for each path of the multipath sessions at the network layer, and persistence probability at the medium access control layer. The primal problem formulation is a non-convex, non-separable network utility maximization optimization. By introducing new variables, applying certain transformations, and using an analogy based on Ohm's law, we develop a distributed algorithm to find the optimal solution for general concave utility functions.