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Shuffle vs. kautz/de bruijn logical topologies for multihop networks: a throughput comparison

机译:多跳网络的Shuffle与Kautz / De Bruijn逻辑拓扑:吞吐量比较

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This paper deals with the analysis of the throughput performance of various logical topologies for Multihop Networks. In particular, ShuffleNets, De Bruijn graphs and Kautz graphs are analyzed. For the comparison, routing algorithms adopting minimum path length are considered. A hot-spot traffic scenario is adopted, modeling the presence of a centralized network resource to which a quota of the internal traffic is directed or originated from. The analysis is carried out by varying the traffic unbalance degree, from a uniform traffic distribution to a completely unbalanced one (all the traffic is concentrated in the hot-spot node). For ShuffleNets, simple analytical expressions of the actual throughput limits are utilized. In the case of De Bruijn and Kautz graphs, instead, a lower bound of the throughput is utilized, which coincides with the actual throughput in a wide range of values of the network size. The results obtained show that Shuffle and Kautz graphs always outperform De Bruijn topologies. Moreover, ShuffleNets present a further advantage on the other topologies; in fact, since the nodes are topologically equivalent, the placement of the hot-spot node does not affect the throughput performance.
机译:本文涉及对多跳网络的各种逻辑拓扑的吞吐性能的分析。特别是,分析了ShuffleNets,De Bruijn图和Kautz图。为了进行比较,考虑采用最小路径长度的路由算法。采用热点流量方案,对内部流量的配额直接或源自的集中式网络资源的存在进行建模。通过改变流量的不平衡度来进行分析,从不均匀的流量分布到完全不平衡的流量(所有流量都集中在热点节点上)。对于ShuffleNets,使用实际吞吐量限制的简单分析表达式。在De Bruijn和Kautz图的情况下,取而代之的是利用吞吐量的下限,这与网络大小范围内的实际吞吐量相符。获得的结果表明,Shuffle和Kautz图始终优于De Bruijn拓扑。此外,ShuffleNets在其他拓扑上还具有其他优势。实际上,由于节点在拓扑上是等效的,因此热点节点的放置不会影响吞吐量性能。

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