论文标题
城市网络基础设施中的弹性：水分配系统的情况
Resilience in urban networked infrastructure: the case of Water Distribution Systems
论文作者
论文摘要
弹性是将网络基础架构提供服务的能力，即使某些组件失败了：在本文中，我们将重点介绍了弹性如何依赖于网络范围的连接度量和单个组件的作用。本文有两个目标：首先说明如何使用网络理论的技术获得一组全球措施，特别是如何基于Jensen-Shannon Divergence的邻接和Laplacian矩阵的光谱分析以及相似性措施使我们能够获得数学上的全球连接性和操作性的特征。其次，Laplacian矩阵的L最小特征向量跨越子空间中的聚类方法如何使我们能够识别网络中故障破坏网络的边缘。即使大多数分析都可以应用于通用的网络基础架构，也会对水分配网络（WDN）进行具体参考。
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).
