We investigate the problem of network utility maximization in multiple gateways wireless mesh networks by considering Signal to Interference plus Noise Ratio (SINR) as the interference model. The aim is a cross layer design that considers joint rate control, traffic splitting, routing, scheduling, link rate allocation and power control to formulate the network utility maximization problem. As this problem is computationally complex, we propose the Joint dynamic Gateway selection, link Rate allocation and Power control (JGRP) algorithm based on the differential backlog as a sub-optimal solution. This algorithm first constructs the initial network topology, and then in each time slot, determines the generation rate and destination gateway of each traffic flow, simultaneously. The other main task of this algorithm is joint routing, scheduling, links rate allocation and node power allocation in each time slot. Moreover, for improving the fairness, we propose some new parameters instead of the differential backlog in JGRP algorithm. Simulation results show that using the proposed parameters in JGRP algorithm improves fairness from throughput and delay point of views.
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