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Random Access Broadcast: Stability and Throughput Analysis

机译:随机接入广播:稳定性和吞吐量分析

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A wireless network in which packets are broadcast to a group of receivers through use of a random access protocol is considered in this work. The relation to previous work on networks of interacting queues is discussed and subsequently, the stability and throughput regions of the system are analyzed and presented. A simple network of two source nodes and two destination nodes is considered first. The broadcast service process is analyzed assuming a channel that allows for packet capture and multipacket reception. It is proved that the stability and throughput regions coincide in this small network. The same problem for a network with $N$ sources and $M$ destinations is considered next. The channel model is simplified in that packet capture and multipacket reception is no longer permitted. Bounds on the stability region are developed using the concept of stability rank and the throughput region of the system is compared to the bounds. Our results show that as the number of destination nodes increases, the stability and throughput regions diminish. Additionally, a previous conjecture that the stability and throughput regions coincide for a network of arbitrarily many sources is supported for a broadcast scenario by the results presented in this work.
机译:在这项工作中,考虑了一种无线网络,其中通过使用随机访问协议将数据包广播到一组接收器。讨论了与交互队列网络上先前工作的关系,随后分析并提出了系统的稳定性和吞吐量区域。首先考虑一个由两个源节点和两个目标节点组成的简单网络。假设一个允许数据包捕获和多数据包接收的信道,分析广播服务过程。事实证明,在这个小型网络中,稳定性和吞吐量区域是一致的。接下来考虑具有$ N $源和$ M $目标的网络的相同问题。简化了信道模型,因为不再允许数据包捕获和多数据包接收。使用稳定性等级的概念来开发稳定区域上的边界,并将系统的吞吐量区域与边界进行比较。我们的结果表明,随着目标节点数量的增加,稳定性和吞吐量区域将减少。此外,通过这项工作提出的结果,可以为广播场景支持一个先前的推测,即对于任意多个源的网络来说,稳定性和吞吐量区域是一致的。

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