相互依存网络的鲁棒性研究

鲁棒性研究对真实网络和复杂系统有着非常重要的现实意义，是复杂网络的热点问题。现有研究主要关注单层网络，较少关注相互依存网络。相互依存网络鲁棒性研究的挑战性与难点在于子网之间的影响关系复杂、抗毁性难以度量、研究成果难于在复杂的真实场景中进行验证。本项目将针对上述问题，研究建立相互依存网络鲁棒性的建模理论与新方法：（1）提出科学合理的相互依存网络鲁棒性的度量方法，构建相互依存网络鲁棒性评价指标体系；（2）提出一种基于修正的节点/边聚类系数的网络分层方法，并揭示子网的结构与鲁棒性的关系；（3）提出耦合边相连节点对的紧密程度及耦合边的重要性度量算法，探讨异质耦合情况下子网间耦合性对相互依存网络鲁棒性的影响机理；（4）提出相互依存网络鲁棒性优化算法，通过拓扑结构扰动来提高相互依存网络鲁棒性。本项目的研究成果将在云南电网的真实场景中进行实证研究，为相互依存网络的鲁棒性研究提供新的理论支撑和应用借鉴。

As a hot issue of complex networks, the research on network robustness is of great practical significance for real networks and complex systems. Existing researches mainly focus on single layer networks, but less on interdependent networks. The challenges and difficulties in the research on the robustness of interdependent networks lie in the complexity of the influence relationship between subnets, the difficulty of measuring the invulnerability and the difficulty of verifying the research results in complex real scenes. Aiming at the above problems, this project will study the modeling theory and new method of the robustness of the interdependent network: (1) proposing a scientific and reasonable method of measuring the robustness of interdependent networks; (2) revealing the relationship between the structure and robustness of subnets by proposing a hierarchical network method based on the modified node / edge clustering coefficients; (3) proposing an algorithm to measure the compactness and importance of the coupling edge, and discussing the influence mechanism of heterogeneous subnet coupling on interdependent network robustness; (4) proposing a robust optimization algorithm for interdependent networks and improving the network robustness by introducing topological structure disturbance. The research results of this project will be verified in the Yunnan Power Grid, providing a new theoretical support and application reference for the research on the robustness of the interdependent network.