Investigation of techniques to mitigate cascade failures in air route networks
The cascade failure of air routes significantly impairs the carrying capacity,traffic safety,and operational efficiency of air route networks,potentially leading to substantial economic losses and a range of social issues.This paper focuses on constructing a cascade failure propagation network structure for air routes.To analyze the dynamics of failures in air route networks,three states of air routes are defined based on the time-varying relationship between traffic and capacity:normal,unstable,and failure.Building on this framework,a novel radial distance-based traffic allocation method is introduced.This method utilizes the failed segment as the center and a specific radial distance as the radius to select segments within the area for traffic allocation.A comparative analysis with traditional degree allocation and residual capacity allocation methods is conducted to evaluate network performance metrics such as network structure,airspace capacity,traffic demand,and operational efficiency under different allocation methods.The goal is to identify the optimal approach for mitigating cascading failure within air route networks.To illustrate the impact of cascade failure propagation on operational safety and efficiency within the East China Air Traffic Control jurisdiction,a specific portion of airspace is selected as a case study.The analysis begins by examining the effects of cascade failure propagation on the network.Subsequently,through simulation,optimal allocation distances for each segment within the network are determined.Following that,the reliability of the proposed method is affirmed through a comparison of simulation results across different time periods.Ultimately,the effectiveness of the proposed method in mitigating cascade failures is demonstrated through a comprehensive comparison and analysis with traditional methods.The results demonstrate the effectiveness of the proposed method in mitigating the impact of cascading failures within the East China route network.The proposed distance-degree allocation and distance-capacity allocation methods outperform the traditional degree allocation and residual capacity allocation methods,resulting in improved network performance.Specifically,the proposed methods yield a 12.51%and 16.99%enhancement compared to the traditional approaches,respectively.