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Routing schemes for multiple random broadcasts in arbitrary network topologies

机译:任意网络拓扑中的多个随机广播的路由方案

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We consider the problem where packets are generated at each node of a network according to a Poisson process with rate /spl lambda/, and each of them has to be broadcast to all the other nodes. The network topology is assumed to be an arbitrary bidirectional graph. We derive upper bounds on the maximum achievable broadcast throughput, and lower bounds on the average time required to complete a broadcast. These bounds apply to any network topology, independently of the scheme used to perform the broadcasts. We also propose two dynamic broadcasting schemes, called the indirect and the direct broadcasting scheme, that can be used in a general topology, and we evaluate analytically their throughput and average delay. The throughput achieved by the proposed schemes is equal to the maximum possible, if a half-duplex link model is assumed, and is at least equal to one half of the maximum possible, if a full-duplex model is assumed. The average delay of both schemes is of the order of the diameter of the trees used to perform the broadcasts. The analytical results obtained do not use any approximating assumptions.
机译:我们考虑的问题是,数据包是根据Poisson进程在网络的每个节点上以速率/ spl lambda /生成的,并且每个数据包都必须广播到所有其他节点。假定网络拓扑为任意双向图。我们得出最大可达到的广播吞吐量的上限,而得出完成广播所需的平均时间的下限。这些限制适用于任何网络拓扑,独立于用于执行广播的方案。我们还提出了两种动态广播方案,分别称为间接广播方案和直接广播方案,可以在通用拓扑中使用,并且我们分析地评估了它们的吞吐量和平均延迟。如果采用半双工链路模型,则通过所提出的方案实现的吞吐量等于最大可能;如果采用全双工模型,则至少等于最大可能的一半。两种方案的平均延迟约为用于执行广播的树的直径的数量级。获得的分析结果未使用任何近似假设。

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