Connectivity Preserving Graph Sequences for Routing Arborescence Construction

János Tapolcai;Péter Babarczi;Balázs Brányi;Pin-Han Ho;Lajos Rónyai
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Abstract

Fast reroute (FRR) is among the fastest survivable routing approaches in packet-switched networks, because the routers are equipped with a resilient routing table in advance such that the packets can be rerouted instantly upon failures solely relying on local information, i.e., without notification messages. However, designing the routing algorithm for FRR is challenging as the number of possible sets of failed network links can be extremely high, while the algorithm should keep track of which routers are aware of the failure. Therefore, FRR methods often rely on spanning arborescences, which provide multiple disjoint failover paths up to the global connectivity of the network. In this paper, we propose a generic algorithmic framework that theoretically increases the number of failover paths to the local connectivity between each node and the root by extending an efficient connectivity preserving operation from graph theory – called edge splitting-off – to decompose the network topology node-by-node, and use Integer Linear Programs (ILPs) on these partial subproblems to build routing arborescences in the reverse direction for the original topology. Although our practical implementation cannot reach the local connectivity in all instances, we demonstrate through simulations that it still outperforms the state-of-the-art FRR mechanisms and provides better resilience with shorter paths in the arborescences.
用于路由 Arborescence 构建的连接性保存图序列
快速重路由(FRR)是分组交换网络中生存速度最快的路由方法之一,因为路由器事先配备了弹性路由表,因此数据包可以在故障时仅依靠本地信息立即重路由,即不需要通知消息。然而,设计用于FRR的路由算法是具有挑战性的,因为可能的故障网络链路集的数量可能非常高,而算法应该跟踪哪些路由器知道故障。因此,FRR方法通常依赖于生成树,它提供了多个不相交的故障转移路径,直至网络的全局连通性。在本文中,我们提出了一个通用的算法框架,该框架通过扩展图论中的一个有效的连通性保持操作-称为边分离-来逐节点分解网络拓扑,并在这些部分子问题上使用整数线性规划(ILPs)来构建与原始拓扑相反方向的路由树,从而在理论上增加每个节点与根之间的局部连通性的故障转移路径的数量。虽然我们的实际实现不能在所有实例中达到本地连接,但我们通过模拟证明,它仍然优于最先进的FRR机制,并且在树形中提供更短路径的更好的弹性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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