Reducing hazard‐induced disruptions to infrastructure functionality is cardinal to regional resilience. Specifically, effective strategies to enhance regional resilience require: (a) developing mathematical models for infrastructure recovery; (b) quantifying resilience associated with the developed recovery process; and (c) developing a computationally manageable approach for resilience optimization. This paper proposes a rigorous mathematical formulation to model recovery, quantify resilience, and optimize the resilience of large‐scale infrastructure. Specifically, a multiscale model of the recovery process is proposed that significantly reduces the computational cost, while favoring practical and easily manageable recovery schedules. To quantify regional resilience, resilience metrics are proposed that capture the temporal and spatial variations of the recovery process. The paper then formulates a multiobjective optimization problem that aims to improve regional resilience in terms of the proposed metrics, while minimizing the recovery cost. Finally, the paper illustrates the proposed formulation by considering interdependent infrastructure in Shelby County, Tennessee, United States.

中文翻译：

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区域弹性分析：一种优化相互依存基础架构弹性的多尺度方法

减少由危害引起的基础设施功能中断是区域弹性的基础。具体而言，增强区域弹性的有效策略要求：（a）开发基础设施恢复的数学模型；（b）量化与已开发的恢复过程相关的弹性；（c）开发用于弹性优化的可计算管理的方法。本文提出了一种严格的数学公式来对恢复进行建模，量化弹性并优化大型基础架构的弹性。具体而言，提出了一种恢复过程的多尺度模型，该模型可显着降低计算成本，同时又有利于实用且易于管理的恢复计划。为了量化区域弹性，提出了恢复指标，该指标可捕获恢复过程的时间和空间变化。然后，本文提出了一个多目标优化问题，旨在根据建议的指标来提高区域弹性，同时最大程度地降低恢复成本。最后，本文通过考虑美国田纳西州谢尔比县相互依存的基础设施，说明了拟议的方案。