空铁综合运输网络互补作用分析

Analysis of the complementary effect of air-rail integrated transportation network

为更好地发挥航空运输和高铁运输的优势,本文研究了空铁综合运输网络的互补作用。首先,以城市为节点,以航线/高铁线路为边,以单日航班频率/高铁班次频率为权值,构建了航空网络、高铁网络和空铁综合运输网络。其次,采用枚举法和遗传算法,基于网络加权效率研究了网络的鲁棒性,并识别出网络关键节点组合。再次,针对随机节点失效和关键节点失效两种情况,分别从鲁棒性、互补强度两个方面研究了高铁网络和航空网络的互补作用。结果显示:空铁综合运输网络的加权效率为0.317,明显高于航空网络0.268和高铁网络0.209,当独立的高铁网络不连通时,空铁综合运输网络仍然连通;当随机节点和关键节点失效时,高铁子网络对航空子网络的互补强度平均值分别为0.072和0.435,航空子网络对高铁子网络的互补强度平均值分别为0.217和0.368,关键节点失效时的互补作用更强。结果表明,空铁综合运输网络结合了航空网络和高铁网络的优势,具备更好的鲁棒性,航空网络和高铁网络能够发挥互补作用,且当关键节点失效时,互补作用更为明显。

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 integrated 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 genetic algorithm,the robustness of the network was studied based on network weighted efficiency,and critical node combinations of the network were identified.Thirdly,the complementary effect of the high-speed rail network and aviation 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 integrated 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 failure,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 failure.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.