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Cluster-Fault Tolerant Routing in a Torus

机译:圆环中的群集容错路由

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摘要

The number of Internet-connected devices grows very rapidly, with even fears of running out of available IP addresses. It is clear that the number of sensors follows this trend, thus inducing large sensor networks. It is insightful to make the comparison with the huge number of processors of modern supercomputers. In such large networks, the problem of node faults necessarily arises, with faults often happening in clusters. The tolerance to faults, and especially cluster faults, is thus critical. Furthermore, thanks to its advantageous topological properties, the torus interconnection network has been adopted by the major supercomputer manufacturers of the recent years, thus proving its applicability. Acknowledging and embracing these two technological and industrial aspects, we propose in this paper a node-to-node routing algorithm in an -dimensional -ary torus that is tolerant to faults. Not only is this algorithm tolerant to faulty nodes, it also tolerates faulty node clusters. The described algorithm selects a fault-free path of length at most with an worst-case time complexity with the set of faulty nodes induced by the faulty clusters.
机译:互联网连接设备的数量增长非常迅速,甚至担心可用IP地址用完了。显然,传感器的数量遵循了这一趋势,从而引发了大型的传感器网络。与现代超级计算机的大量处理器进行比较是很有见地的。在这样的大型网络中,必然会出现节点故障的问题,而故障往往发生在集群中。因此,对故障尤其是群集故障的容忍度至关重要。此外,由于其有利的拓扑特性,近年来,主要的超级计算机制造商已经采用了环形互连网络,从而证明了其适用性。承认并接受了这两个技术和工业方面,我们在本文中提出了一种二维的节点到节点路由算法 -容错的-ary环面。该算法不仅可以容忍故障节点,还可以容忍故障节点群集。所描述的算法选择最大长度的无故障路径,该路径具有最坏情况的时间复杂度,并具有由故障簇引起的一组故障节点。

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