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Journal of ZheJiang University (Engineering Science)  2024, Vol. 58 Issue (2): 388-398    DOI: 10.3785/j.issn.1008-973X.2024.02.017
    
Robustness of multimodal passenger transport network in urban agglomeration considering complementary effect
Fei MA(),Xiaolin WEI,Qipeng SUN*(),Qing LIU,Huiyan GOU
School of Economics and Management, Chang’an University, Xi’an 710064, China
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Abstract  

A multimodal passenger transport network model of urban agglomeration was constructed based on complex network theory from the perspective of multiple complementary traffic modes in order to analyze the response ability of urban agglomeration passenger transport networks to emergencies. The gravity model was applied to establish rules for network performance calculation after node failure, and the robustness of the multimodal passenger transport network of urban agglomeration was measured. A dynamic complementary strength index based on robustness was introduced to quantify the complementary effect (CE) between passenger transport networks. The robustness when considering CE was compared, and the degree to which CE improves the robustness value was analyzed. A case study of Guanzhong Plain urban agglomeration was conducted. Results showed that the general railway network was the most robust to unexpected events, and the highway network was the least robust to unexpected events among the multimodal passenger transport networks in urban agglomerations. The robustness of the urban agglomeration multimodal passenger network was significantly improved when CE was considered regardless of the attack strategy. The sensitivity of high-speed rail network, rail network and highway network was decreased by 19.1%, 29.3%和22.0%, respectively.



Key wordsurban agglomeration      multimodal passenger transport network      complex network theory      robustness      complementary effect     
Received: 31 May 2023      Published: 23 January 2024
CLC:  U 125  
Fund:  国家自然科学基金资助项目(72104034);陕西省自然科学基础研究计划资助项目(2022JM-423,2022JM-426);西安市社会科学规划基金重大资助项目(211423220227).
Corresponding Authors: Qipeng SUN     E-mail: mafeixa@chd.edu.cn;sunqip@chd.edu.cn
Cite this article:

Fei MA,Xiaolin WEI,Qipeng SUN,Qing LIU,Huiyan GOU. Robustness of multimodal passenger transport network in urban agglomeration considering complementary effect. Journal of ZheJiang University (Engineering Science), 2024, 58(2): 388-398.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2024.02.017     OR     https://www.zjujournals.com/eng/Y2024/V58/I2/388


考虑互补效应的城市群多模式客运网络鲁棒性

为了分析城市群客运网络对突发事件的应对能力,从多种交通模式互补视角,基于复杂网络理论构建城市群多模式客运网络模型,应用引力模型建立节点失效后网络性能计算的规则,对城市群多模式客运网络的鲁棒性进行测度. 引入基于鲁棒性的动态互补强度指标,对客运网络间的互补效应(CE)进行量化. 对是否考虑CE时的鲁棒性进行对比,分析CE对鲁棒性的提升程度. 以关中平原城市群为例进行实例研究,结果表明,在城市群多模式客运网络中,普铁网应对突发事件时的鲁棒性最强,公路网最弱. 无论在何种攻击策略下,考虑CE时,城市群多模式客运网络的鲁棒性均有明显的提升,高铁网、普铁网和公路网的敏感度分别下降了19.1%、29.3%和22.0%.


关键词: 城市群,  多模式客运网络,  复杂网络理论,  鲁棒性,  互补效应 
Fig.1 Diagram of traffic network model construction method
Fig.2 Multimode passenger transport network topology of Guanzhong Plain urban agglomeration
Fig.3 Passenger transport network and node complementarity in Guanzhong Plain urban agglomeration
客运网络网络密度平均路径
长度
平均聚类
系数
多模式互补客运网络GC0.2062.1260.453
公路网G10.3641.8900.412
高铁网G2-10.5561.3060.805
普铁网G2-20.6361.4180.772
Tab.1 Statistics of passenger transport network topology indicators in Guanzhong Plain urban agglomeration
G2-1G2-2G1
站点编号站点名称R站点编号站点名称R站点编号站点名称R
9西安北站0.41020西安站0.28831西安汽车站0.414
8渭南北站0.70821咸阳站0.47030渭南中心客运站0.633
10咸阳北站0.72316宝鸡站0.71432咸阳汽车北站0.667
6宝鸡南站0.72718渭南站0.76829铜川汽车站0.719
3天水南站0.79013天水站0.91022平凉市汽车东站0.802
5运城北站0.82917商洛站0.94327宝鸡汽车南站0.813
4临汾西站0.88814临汾站0.97628商洛汽车客运站0.883
2庆阳站0.92915运城站0.97823庆阳西峰南站0.894
7铜川东站0.99619韩城站0.97924天水汽车站0.938
1平凉南站111平凉站0.98226运城客运中心站0.941
12长庆桥站0.99325临汾北汽车站0.956
Tab.2 Robustness of passenger transport network after failure of stations in Guanzhong Plain urban agglomeration
Fig.4 Performance values of different passenger transport networks after node failure in Guanzhong Plain urban agglomeration
Fig.5 Dynamic complementary strength values of each node in Guanzhong Plain urban agglomeration
Fig.6 Robustness change of multi-mode transportation network in Guanzhong Plain urban agglomeration under different attack strategies
Fig.7 Effect of ω on transportation network robustness under random attacks
Fig.8 Sensitivity curve of subnetwork in Guanzhong Plain urban agglomeration under different attack strategies when CE was not considered
Fig.9 Sensitivity curve of subnetwork in Guanzhong Plain urban agglomeration under different attack strategies when CE was considered
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