We consider the problem of efficient packet dissemination in wireless networks with point-to-multipoint wireless broadcast channels. We propose a dynamic policy, which achieves the broadcast capacity of the network. This policy is obtained by first transforming the original multi-hop network into a precedence-relaxed virtual single-hop network and then finding an optimal broadcasting policy for the relaxed network. The resulting policy is shown to be throughput-optimal for the original wireless network using a sample-path argument. We also prove the NP-completeness of the finite-horizon broadcasting problem, which is in contrast with the polynomial-time solvability of the problem with point-to-point channels. Illustrative simulation results demonstrate the efficacy of the proposed broadcast policy in achieving the full broadcast capacity with low delay.

中文翻译：

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具有点对多点传输的无线网络中的吞吐量最优广播

我们考虑了在具有点对多点无线广播信道的无线网络中有效分组传播的问题。我们提出了一个动态策略，它实现了网络的广播容量。该策略是通过首先将原始多跳网络转换为优先级宽松的虚拟单跳网络，然后为宽松的网络寻找最佳广播策略而获得的。使用示例路径参数显示，生成的策略对于原始无线网络是吞吐量最佳的。我们还证明了有限范围广播问题的 NP 完备性，这与点对点信道问题的多项式时间可解性形成对比。