To better leverage the advantages of aviation and high-speed rail transportation,the complementary effect of air-rail integrated transportation network was studied.Firstly,the aviation network,high-speed rail network,and air-rail in-tegrated transportation network were constructed with cities as nodes,airline/high-speed rail route as edges,and daily flight frequency/high-speed rail frequency per day as weights.Secondly,using enumeration method and genet-ic algorithm,the robustness of the network was studied based on network weighted efficiency,and critical node com-binations of the network were identified.Thirdly,the complementary effect of the high-speed rail network and avia-tion network was investigated from two perspectives of robustness and complementary strength under two scenarios of random node failure and critical node failure.The results showed that the weighted efficiency of the air-rail integrat-ed transportation network was approximately 0.317,which is significantly higher than that of the aviation network(0.268)and the high-speed rail network(0.209).When the independent high-speed rail network was not connected,the air-rail integrated transportation network remained connected.Under random node failure and critical node fail-ure,the average complementary strength of the high-speed rail sub-network to the aviation sub-network is 0.072 and 0.435,respectively and the average complementary strength of the aviation sub-network to the high-speed rail sub-network is 0.217 and 0.368,respectively,with stronger complementary effect observed under critical node fail-ure.The results indicated that the air-rail integrated transportation network combined the advantages of the aviation network and high-speed rail network,with better robustness.Aviation network and high-speed rail network can play complementary effect and its complementary effect is more pronounced under critical node failure.
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