城市常规公交与地铁复合网络构建及鲁棒性分析OA
Construction and robustness analysis of urban conventional bus and subway composite networks
针对城市常规公交与地铁网络孤立分析无法捕捉乘客实际换乘行为和网络间耦合效应的问题,采用Space L建模方法构建常规公交与地铁加权复合网络模型.模型综合考虑节点间实际空间距离,利用地理信息系统(Geographic Information System,GIS)和高德地图接口(Application Programming Interface,API)将耦合半径设定为660 m,并剔除直线距离符合但实际路径过长的站点,将线路载运能力和乘客出行时间作为连边权重,充分兼顾网络供给能力与乘客出行成本.通过Matlab和Gephi软件分析网络拓扑特性,选取平均度、平均路径长度、聚类系数、介数等核心指标,并提出两种新型攻击策略:基于多属性决策理论、紧密及介数中心性的节点中心重要度攻击策略(Centrality Importance Attack Strategy,CIAS);考虑耦合节点替代效应的度攻击策略(Degree At-tack Strategy of Coupling Nodes,DASCN),引入攻击效率评价函数,结合全局效率、最大连通子图相对大小和网络连通率等指标,以哈尔滨市主城区为案例,对比分析传统攻击策略与新型攻击策略的效果.研究结果表明:复合网络在平均度、平均聚类系数、网络效率和连通率等指标上均有显著提升,而平均路径长度和平均介数呈现下降趋势,表明复合网络具有更强的抗扰性;在相同移除规模下,节点中心重要度攻击对网络性能的负面影响大于其他传统策略;考虑耦合节点的度攻击对全局效率、最大连通子图与连通率的影响较小.
To address the problem that isolated analysis of conventional bus and subway networks fails to capture actual passenger transfer behaviors and inter-network coupling effects,this study constructs a weighted composite network model of conventional bus and subway systems using the Space L mod-eling method.The model integrates actual spatial distances between nodes,establishing a coupling radius of 660 m via Geographic Information Systems(GIS)and the Amap Application Programming In-terface(API),while excluding stations where the actual walking path is excessive despite meeting straight-line distance criteria.Line carrying capacity and passenger travel time are assigned as edge weights to balance network supply capacity with passenger travel costs.Network topological properties are analyzed using Matlab and Gephi,focusing on core metrics such as average degree,average path length,clustering coefficient,and betweenness centrality.Furthermore,two novel attack strategies are proposed:the Node Centrality Importance Attack Strategy(CIAS),based on multi-attribute decision theory,closeness centrality,and betweenness centrality;and the Degree Attack Strategy of Coupling Nodes(DASCN),which accounts for the substitution effects of coupling nodes.An attack efficiency evalu-ation function is introduced to compare these novel strategies against traditional ones,using Harbin's main urban area as a case study.Performance is evaluated via global efficiency,the relative size of the largest connected subgraph,and the network connectivity rate.The results demonstrate that the composite net-work shows significant improvements in average degree,clustering coefficient,network efficiency,and connectivity rate,with decreased average path length and betweenness centrality,indicating enhanced re-silience.Under identical node removal scales,the CIAS exerts a greater negative impact on network per-formance than traditional strategies,whereas the DASOCN has a comparatively smaller impact on global efficiency,the largest connected subgraph,and connectivity rates.
王连震;张国立;刘克毅;王宝杰
东北林业大学 土木与交通学院,哈尔滨 150040济南城建集团,济南 250031东北林业大学 土木与交通学院,哈尔滨 150040长安大学 运输工程学院,西安 710064
交通工程
综合交通交通网络韧性公共交通系统加权复合网络鲁棒性拓扑特性
comprehensive transportationtransportation network resiliencepublic transport systemweighted composite networkrobustnesstopological characteristics
《北京交通大学学报》 2026 (1)
83-94,12
黑龙江省自然科学基金(PL2024E013)中央高校基本科研业务费专项资金(300102344501-1-1,2572023CT21-03) Heilongjiang Provincial Natural Science Foundation(PL2024E013)Fundamental Research Funds for the Central Univer-sities(300102344501-1-1,572023CT21-03)
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