Modeling and Analysis of Multi-layer Networks with Redundancy and Cascading Failures

With the tighter connectivity of complex networks, nodes in different sub-network usually interact with each other. Considering the reliability enhancement of redundancy, networks with redundancy is generally embedded when network emergencies occur. Considering cooperation of networks with redundancy, connectivity, and dependency, multi-layer networks can be obtained. In this paper, the model for multi-layer networks with connectivity links, dependency links, and redundancy links is proposed. Moreover, considering cascading failures during network operation, the algorithm for the proposed model of multi-layer networks with redundancy and cascading failures is conducted. Illustrative examples are provided to verify the proposed model.