Modeling And Optimization Analysis Of Cascading Dynamics For Multilayer Comprehensive Traffic Complex Network

In order to improve the ability of complex networks to characterize complex urban integrated transportation systems and to promote the recovery of transportation networks against cascade failures and after failures with reasonable inputs as soon as possible,in the context of the development of integrated three-dimensional transportation networks in China,this paper conducts static and dynamic analysis with integrated transportation complex networks as the research object,and portrays the network structure and dynamic behavior that better fit the actual traffic conditions through method optimization.Firstly,a Space H heterogeneous multilayer traffic network modeling method is developed by matching the corresponding network space and coupling to establish a multilayer network according to the characteristic differences of various traffic modes in the integrated traffic.Secondly,the cascade failure dynamics approach focuses on the additional capacity given by traffic control measures to the nodes of the transportation network as node resistance characteristics,and deepens the characterization of resistance characteristics along the path of constant value-topological association-time-varying topological association,based on which the HCML method is formed by optimizing the coupled image lattice(CML);Finally,a cascade recovery dynamics approach is proposed,which includes the consideration of recovery sequence,mapping,risk and other elements.Both types of dynamics models are validated by the validity of theoretical networks and actual traffic data,and parameter impact analysis is conducted on heterogeneous three-layer urban public transportation networks;applicability validation is carried out on six different groups of network structures to discuss the impact of differences in network construction methods and other different network properties on the validity of the method,including two groups of local urban public transportation networks,two groups of intercity transportation networks,and two groups of electric and biological non transportation networks.The results show that,compared with the traditional Space M homogeneous network construction method,the network built by Space H can integrate two kinds of heterogeneous characteristics,namely transportation mode and network construction method,and can more sensitively show the influence of cascade process caused by parameter changes.The HCML effect of time-varying topological correlation is better,and the growth rate of network failure is slower under the resistance characteristic of betweenness correlation,and the proportion of final effective nodes increases by 5.78% on average compared with the traditional model.Compared with the three groups of network restoration methods without considering the continuity,the restoration effect of the proposed restoration dynamics method is improved by 46.7%,47.9% and 66.7%respectively,which can fit the real scene with HCML and is suitable for various types of networks.In a three-tier traffic network,the marginal contribution rate of the initial recovery ratio to the recovery degree can reach 26.8%,and when the nodes with a recovery coupling coefficient of 0.5 and 10% are recovered for the first time,the recovery degree of the network can reach 86.4%.In summary,the proposed integrated traffic network modeling method is beneficial to portray the actual traffic network and more suitable to be paired with carrying out dynamics research;the failure condition obtained from HCML simulation is more suitable to the actual traffic cascade failure process,and the recovery effect of recovery dynamics method is better;both types of dynamics methods can effectively portray the recovery behavior of a variety of networks and provide reference for the actual integrated traffic network management and control.