Improved bounds on the throughput efficiency of greedy maximal scheduling in wireless networks

In this paper, we derive new bounds on the throughput efficiency of Greedy Maximal Scheduling (GMS) for wireless networks of arbitrary topology under the general k-hop interference model. These results improve the known bounds for networks with up to 26 nodes under the 2-hop interference model. We also prove that GMS is throughput-optimal in small networks. In particular, we show that GMS achieves 100% throughput in networks with up to eight nodes under the 2-hop interference model. Furthermore, we provide a simple proof to show that GMS can be implemented using only local neighborhood information in networks of any size.