It is paramount to ensure the resilience of networked critical infrastructures, which are vital for the economic development and our daily requirements but threatened by intentional attacks. For this purpose, their protection before and restoration after intentional attacks are of great significance. Moreover, in order to keep the prescribed demand continuously satisfied, postdisruption flow redistribution is also necessary. However, due to the severity of intentional attacks, certain components may need to be overloaded as a result of the redistribution and, thus, the network reliability is influenced. To minimize such influence, we first present a new metric of resilience to reflect the incurred reliability changes. Then, a trilevel optimization model integrating protection, restoration, and adaptive flow redistribution to maximize the network resilience is proposed. To deal with the complexity of the proposed problem, an evolutionary algorithm is employed with necessary adaption.

中文翻译：

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保护、恢复和自适应流重新分配的集成在构建弹性网络关键基础设施以抵御故意攻击

确保联网关键基础设施的弹性至关重要，这些基础设施对经济发展和我们的日常需求至关重要，但受到蓄意攻击的威胁。为此，它们在蓄意攻击前的保护和蓄意攻击后的恢复具有重要意义。此外，为了保持规定的需求持续满足，中断后的流量重新分配也是必要的。但是，由于故意攻击的严重性，某些组件可能需要因重新分配而过载，从而影响网络可靠性。为了尽量减少这种影响，我们首先提出了一个新的弹性指标来反映发生的可靠性变化。然后，一个集保护、恢复、并提出了自适应流量重新分配以最大化网络弹性。为了处理所提出问题的复杂性，采用了一种具有必要适应性的进化算法。