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Information theoretic Broadcast Channels (BC) and Multiple Access Channels(MAC) enable a single node to transmit data simultaneously to multiple nodes,and multiple nodes to transmit data simultaneously to a single noderespectively. In this paper, we address the problem of link scheduling inmultihop wireless networks containing nodes with BC and MAC capabilities. Wefirst propose an interference model that extends protocol interference models,originally designed for point to point channels, to include the possibility ofBC and MAC. Due to the high complexity of optimal link schedulers, we introducethe Multiuser Greedy Maximum Weight algorithm for link scheduling in multihopwireless networks containing BCs and MACs. Given a network graph, we developnew local pooling conditions and show that the performance of our algorithm canbe fully characterized using the associated parameter, the multiuser localpooling factor. We provide examples of some network graphs, on which we applylocal pooling conditions and derive the multiuser local pooling factor. Weprove optimality of our algorithm in tree networks and show that theexploitation of BCs and MACs improve the throughput performance considerably inmultihop wireless networks.

A Greedy link scheduler for Wireless Networks having Gaussian Broadcast and Multiple Access Channels