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arXiv 2401.09433math.OC
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弹性与可生存的环星问题

Resilient and Survivable Ring Star Problems

Julien Khamphousone, Fabian Andres Castano Giraldo, André Rossi, Sonia Toubaline

AI总结:

本文研究单枢纽故障下的环星网络设计,提出弹性环星与可生存环星问题的ILP模型和Benders分解方法,并比较不同故障率下两种解的适用性。

摘要:

在本文中,我们同时考虑弹性环星问题(Resilient Ring Star Problem)和可生存环星问题(Survivable Ring Star Problem)。在弹性环星问题中,当单个枢纽发生故障时,解应易于修复;在可生存环星问题中,解保证当单个枢纽发生故障时,环星拓扑能够以零成本保持可用。针对这两个问题,我们提出了整数线性规划(ILP)公式以及Benders分解方法。我们还对这两个问题所得到的解进行了比较,以确定当故障率变化时,哪个问题能够返回更合适的解。

英文摘要:

In this paper, we consider both the Resilient Ring Star Problem, in which a solution should be easy to fix when a single hub fails, and the Survivable Ring Star Problem, in which a solution guarantees that a Ring Star topology is available at no cost when a single hub fails. An ILP formulation is proposed for both problems, as well as a Benders decomposition. The solution provided by both problems are also compared in order to determine which problem returns the most appropriate solutions, when the failure rate varies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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