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arXiv 2503.03341cs.NI
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自组织网络中启用网络编码的M对N广播的理论时延分析

Theoretical Delay Analysis of Network Coding Enabled M-to-N Broadcasting in Ad-Hoc Networks

Virginia Tech(弗吉尼亚理工大学);Shenzhen Graduate School, School of Electric and Computer Engineering, Peking University(北京大学深圳研究生院电气与计算机工程学院)

Zhaohong Lu, Qingyu Liu, Haibo Zeng

AI总结:

本文针对自组织网络中采用随机线性网络编码的M对N广播场景,分析其时延性能,提出拥塞代价路径近似等方法,通过仿真验证了所提框架的有效性。

摘要:

本文研究采用随机线性网络编码支持M对N信息分发的自组织广播网络的时延性能。多个源节点可注入同一消息的编码分组,多个目的节点在收集足够数量的创新自由度后解码该消息。由于广播转发不依赖预定义的端到端路由,分组级中继序列通常是随机的,取决于传播时延、排队时延和先前接收历史。我们首先证明,当忽略排队、竞争、处理和重传时,仅最快广播下的首次接收时间恰好等于多源最短路径距离,这为传播时延提供了下界。随后,我们开发等效固定路由排队近似,以在M/D/1和G/D/1模型下估计中继节点负载、稳定性和端到端时延。为考虑拥塞下的路由多样性,我们进一步引入拥塞代价路径近似,对高负载中继进行惩罚。在随机和结构化拓扑上的仿真结果表明,所提框架可捕捉不同流量强度和网络密度下的主要时延趋势,同时保持简单性以实现可处理的分析评估。

英文摘要:

In this paper, we investigate the delay performance of ad hoc broadcast networks in which random linear network coding is used to support M-to-N information dissemination. Multiple source nodes may inject coded packets for the same message, while multiple destination nodes decode the message after collecting a sufficient number of innovative degrees of freedom. Because broadcast forwarding does not rely on predetermined end-to-end routes, the packet-level relay sequence is generally random and depends on propagation delay, queueing delay, and prior reception history. We first prove that, when queueing, contention, processing, and retransmission delays are ignored, the first-reception time under fastest-only broadcast is exactly equal to the multi-source shortest-path distance, which provides a lower bound on propagation delay. We then develop an equivalent fixed-route queueing approximation to estimate relay-node load, stability, and end-to-end delay under M/D/1 and G/D/1 models. To account for route diversity under congestion, we further introduce a congestion-cost path approximation that penalizes heavily loaded relays. Simulation results on random and structured topologies show that the proposed framework captures the main delay trends under different traffic intensities and network densities while remaining simple for tractable analytical evaluation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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