城市网络基础设施的复原力：供水系统案例
Resilience in urban networked infrastructure: the case of Water Distribution Systems
摘要：
弹性是指网络基础设施提供服务的能力，即使一些组件失败：在本文中，我们专注于弹性如何依赖于网络范围内的连接措施和单个组件的作用。本文件有两个目标：首先展示了如何使用网络理论的技术来获得一组全局度量，特别是如何通过邻接矩阵和拉普拉斯矩阵的谱分析以及基于Jensen-Shannon散度的相似性度量来获得全局连通性的特征，这在数学上是合理的，并且是可操作的。第二，如何在子空间中的聚类方法由拉普拉斯矩阵的l个最小的特征向量，使我们能够识别网络的边缘，其故障打破了网络。即使大多数分析可以应用于一般的网络基础设施，也会特别提到配水网络（WDN）。
英文摘要：
Resilience is meant as the capability of a networked infrastructure to provide its service even if some components fail: in this paper we focus on how resilience depends both on net-wide measures of connectivity and the role of a single component. This paper has two objectives: first to show how a set of global measures can be obtained using techniques from network theory, in particular how the spectral analysis of the adjacency and Laplacian matrices and a similarity measure based on Jensen-Shannon divergence allows us to obtain a characteriza-tion of global connectivity which is both mathematically sound and operational. Second, how a clustering method in the subspace spanned by the l smallest eigen-vectors of the Laplacian matrix allows us to identify the edges of the network whose failure breaks down the network. Even if most of the analysis can be applied to a generic networked infrastructure, specific references will be made to Water Distribution Networks (WDN).
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。
