Robustness of cascading failure of overload on aviation-high-speed rail interdependent network
Air and rail combined transport is a kind of joint transport mode of cooperation between air and rail transports.Through the seamless transfer between airport and high-speed rail,the respective radiation circle of aviation and high-speed rail network(referred to as air-rail network)is expanded.However,public health events(epidemics,viruses,etc.)and natural disasters(floods,earthquakes,etc.)can all have an impact on the transportation network.This paper takes the effective transfer time of passengers into account,and mainly studies the robustness of overload cascade failure of the interdependent network of aviation-high-speed rail at different time periods.A linear load capacity model is constructed to analyze the robustness of the air-rail dependent network under deliberate and random attacks.Incorporating load capacity coefficient β and initial load coefficient α,the study introduces a new metric,the central node load proportion p,to analyze the impact of α on network robustness.The findings reveal that the air-rail dependent network does not belong to either assortative or disassortative coupling networks.Under deliberate attacks,network efficiency increases with β,exhibiting a first-order phase transition and a critical load capacity coefficient.The model parameter α impacts network robustness through the metric p;the larger p is,the more vulnerable the individual network becomes.The overall robustness of the dependent network,however,depends on the larger p value between the two dependent nodes.From the results of random attacks on network nodes in different time periods,the 8:00 to 10:00 time slot shows the highest network robustness,while the 22:00 to 24:00 time slot is the most vulnerable.The conclusions of this study provide a theoretical basis for constructing a fast,efficient,and stable air-rail intermodal network,facilitating passengers'choices for air-rail transfers.