On a Non-Linear Optimization Approach for Proportional Fairness in Ad-Hoc Wireless Networks

In this paper we present a partially asynchronous, fully distributed flow-based access scheme for slotted-time protocols, that guarantees proportional-fairness in ad hoc wireless networks. This problem of providing fairness in wireless networks is considered in the framework of non-linear optimization. We say a medium access control algorithm is proportionally fair with respect to individual end-to-end flows in a network, if the product of the end-to-end flow-success probabilities is maximized.