基于复杂网络的铁路-航空多层网络的鲁棒性研究

为提高我国交通系统运行的效率和稳定性,本文应用复杂网络理论,选取中国大陆(不包括港澳台)的地级市铁路和航空数据(截至2015年7月)为研究对象,构建了中国铁路-航空多层网络。对铁路-航空多层网络的拓扑性质和鲁棒性进行了研究,选取平均路径长度和网络效率两项指标作为鲁棒性评价指标。研究结果表明,铁路-航空多层及其单层网络都具有小世界和无标度特性;铁路-航空多层网络在蓄意攻击方式下的鲁棒性较差,而在随机攻击方式下的鲁棒性较强;不管是在蓄意还是随机攻击的方式下,铁路-航空多层网络的鲁棒性都要优于铁路层、航空层网络。

Study on the robustness of Chinese railway and airlinemultilayer networks based on complex network theory

To improve the efficiency and stability of our traffic system operation, this paper applied the complex network theory, selected railway and airline data (as of July 2015) of the prefecture level cities in China (not including Hong Kong, Macao and Taiwan) as the research object, and constructed the Chinese railway and airline multilayer networks. The topological characteristics and robustness of Chinese railway and airline multilayer networks were studied, and two indexes, such as average path length and network efficiency, were chosen as robustness evaluation indexes. The results include the following points: the railway and airline multilayer and its single layer networks all have small world and scale free characteristics; the robustness of Chinese railway and airline multilayer networks is better under the random attack than under the calculated attack; the robustness of railway and airline multilayer networks is better than its two subnetworks, whether under the calculated attack or under the random attack.