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Scalable Design of p-Cycles for Node Protection without Candidate Pre-Enumeration

机译:无需候选预枚举的节点保护的p循环可扩展设计

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The problem of the design of p-cycles in WDM mesh networks under single link failure scenario has been extensively investigated; however, there are very fewer studies upon the design of p-cycles for protecting against a single node failure. In this paper, we develop a new scalable design approach for calculating p-cycles with node protection capability. Conventional design methods formulate the problem as an Integer Linear Program (ILP). To solve the ILP, the prerequisite is the enumeration of all possible cycle candidates in a network. As the number of cycles increases exponentially with the increase of the network size, these methods suffer from the scalability issue. We propose a new design and solution method based on large scale optimization tools, namely Column Generation (CG), where p-cycles are generated on the fly when needed and embedded in the optimization process. The main advantage of our CG-based method is that no p-cycles are a-priori off-line enumerated; the generation of the promising set of p-cycles is embedded in the optimization process. We have carried out intensive experiments on several network instances for comparing our method with an existing method in the literature. Numerical results show that our CG-based method outperforms the previous method in terms of scalability. As it is important for Internet service providers, we also compare the spare capacity requirement of p-cycles for link and node protection with that for link protection.
机译:已经广泛研究了单链路故障情况下WDM网状网络中p周期的设计问题。但是,针对防止单节点故障的p周期设计的研究很少。在本文中,我们开发了一种新的可扩展设计方法,用于计算具有节点保护功能的p周期。传统的设计方法将问题表述为整数线性程序(ILP)。为了解决ILP,先决条件是对网络中所有可能的循环候选者进行枚举。随着周期的数量随着网络规模的增加而呈指数增长,这些方法都遭受了可伸缩性问题的困扰。我们提出了一种基于大规模优化工具的新设计和解决方法,即列生成(CG),在需要时可动态生成p周期并将其嵌入优化过程中。我们基于CG的方法的主要优点是,没有p-cycles是先验离线枚举的;优化过程中嵌入了有前途的p周期集合的生成。我们已经在几个网络实例上进行了密集的实验,以将我们的方法与文献中的现有方法进行比较。数值结果表明,基于CG的方法在可伸缩性方面优于以前的方法。由于对于Internet服务提供商而言很重要,因此我们还将p周期用于链接和节点保护的空闲容量需求与用于链接保护的剩余容量需求进行了比较。

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