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级联失效下重庆市中心城区公交-地铁双层网络抗毁性研究

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王贵林 ¹ , 牟凤云 ¹^,²^,³ , 李卓文 ¹ , 李治君 ¹

都市快轨交通 | 快轨论坛 2025,38(4): 1-9

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都市快轨交通 |快轨论坛 2025 , 38 (4) : 1 -9

级联失效下重庆市中心城区公交-地铁双层网络抗毁性研究

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王贵林¹, 牟凤云¹^,²^,³, 李卓文¹, 李治君¹

作者信息

^1.重庆交通大学智慧城市学院，重庆　400074

^2.山地城市时空信息重庆市重点实验室，重庆　400074

^3.自然资源部智能城市时空信息与装备工程技术创新中心，重庆　400074

通讯作者:

牟凤云，女，博士，教授，主要研究领域为地理时空大数据分析、智慧交通建设，mfysd@cqjtu.edu.cn

作者简介:

王贵林，女，硕士研究生，研究方向为城市韧性与智慧交通建设，1254210474@qq.com

Robustness Study of the Bus-Metro Multilayer Network in Chongqing's Central Urban Area under Cascading Failures

Guilin WANG¹, Fengyun MU¹^,²^,³, Zhuowen LI¹, Zhijun LI¹

Affiliations

^1.Chongqing Jiaotong University Smart City Institute, Chongqing 400074

^2.Chongqing Key Laboratory of Spatio-temporal Information in Mountain Cities, Chongqing 400074

^3.Technology Innovation Center for Spatio-temporal Information and Equipment of Intelligent City, Ministry of Natural Resources, Chongqing 400074

出版时间: 2025-08-10 doi: 10.3969/j.issn.1672-6073.2025.04.001

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摘要

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突发事件下，交通路网的抗毁性是评估城市公共交通系统韧性的关键因素。为研究复杂城市交通系统在突发事件中的应急响应能力及其韧性表现，以重庆市中心城区为研究区域，基于复杂网络理论构建公交-地铁双层交通网络模型，评估不同冲击模式下城市交通系统的抗毁性和应急响应能力；通过仿真分析，深入探讨双层网络的灾变机理和韧性演化趋势，并研究地铁与公交线路的应急协调能力。针对当前城市交通系统在突发事件中的单一网络脆弱性，提出改进的负荷-容量模型，并运用该模型对随机攻击、基于节点度值和介数中心性的蓄意攻击3种不同攻击模式下的网络抗毁性进行分析。研究结果表明：双层网络在级联失效和非级联失效两种攻击模式下的网络效率下降速度较慢，其冗余性和多路径性有效减缓了崩溃过程；在级联失效过程中，双层网络的抗毁性始终优于单层公交和地铁网络，且重要站点失效导致的级联失效对网络连通性和效率的影响更为显著；双层网络能够更有效地维持网络的连通性和运行效率，特别是在面对突发事件时，展现出更强的自适应能力和抗毁性，能够有效分担负荷，缓解单一网络的拥堵问题，提升应急处理效率。

关键词

公交-地铁双层网络 / 复杂网络理论 / 蓄意攻击 / 级联失效 / 抗毁性

Abstract

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The robustness of transportation networks under emergency events is a key factor in assessing the resilience of urban public transportation systems. To study the emergency response capabilities and resilience performance of complex urban transportation systems during emergency events, this study takes the central urban area of Chongqing as the study region and constructs a bus-metro multilayer transportation network model based on complex network theory to evaluate the robustness and emergency response capabilities of the urban transportation system under different shock modes. Through simulation analysis, the study delves into the catastrophic failure mechanisms and resilience trends of the two-layer network, and investigates the emergency coordination capabilities of metro and bus lines. In response to the vulnerability of single networks in current urban transportation systems during emergencies, an improved load-capacity model is proposed and used to analyze the network resilience under different attack modes. The study results show that: (1) The two-layer network exhibits a slower decline in network efficiency under both shock modes, with its redundancy and multi-path characteristics effectively mitigating the collapse process; (2) In the cascading failure process, the robustness of the two-layer network is consistently superior to that of single bus and subway networks, and the cascading failure caused by the failure of important stations has a more significant impact on network connectivity and efficiency; (3) The two-layer network is more effective in maintaining network connectivity and operational efficiency, especially when facing unexpected events, demonstrating stronger adaptive capacity and robustness. It can effectively share the load, alleviate congestion in single networks, and improve emergency handling efficiency.

Key words

bus-metro multilayer network / complex network theory / intentional attacks / cascading failure / robustness

引用本文

王贵林, 牟凤云, 李卓文, 李治君. 级联失效下重庆市中心城区公交-地铁双层网络抗毁性研究. 都市快轨交通, 2025 , 38 (4) : 1 -9 . DOI: 10.3969/j.issn.1672-6073.2025.04.001

Guilin WANG, Fengyun MU, Zhuowen LI, Zhijun LI. Robustness Study of the Bus-Metro Multilayer Network in Chongqing's Central Urban Area under Cascading Failures[J]. Urban Rapid Rail Transit, 2025 , 38 (4) : 1 -9 . DOI: 10.3969/j.issn.1672-6073.2025.04.001

基金

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教育部人文社会科学研究规划基金项目(24YJAZH107)
重庆市教育委员会科学技术研究计划重点项目(KJZD-K202300707)
重庆交通大学研究生科研创新项目资助(2025S0099)

参考文献

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2025年第38卷第4期

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文章信息

doi: 10.3969/j.issn.1672-6073.2025.04.001

接收时间：2024-09-26
首发时间：2026-10-19
出版时间：2025-08-10

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出版历史

收稿日期：2024-09-26
修回日期：2025-03-04

基金

教育部人文社会科学研究规划基金项目(24YJAZH107)

重庆市教育委员会科学技术研究计划重点项目(KJZD-K202300707)

重庆交通大学研究生科研创新项目资助(2025S0099)

作者信息

^1.重庆交通大学智慧城市学院，重庆　400074

^2.山地城市时空信息重庆市重点实验室，重庆　400074

^3.自然资源部智能城市时空信息与装备工程技术创新中心，重庆　400074

通讯作者:

牟凤云，女，博士，教授，主要研究领域为地理时空大数据分析、智慧交通建设，mfysd@cqjtu.edu.cn

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https://castjournals.cast.org.cn/joweb/dskgjt/CN/10.3969/j.issn.1672-6073.2025.04.001

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2种不同金属材料的力学参数

科 Family	属数 Number of genus	种数 Number of species	占总种数比例 Percentage of total species (%)	属 Genus	种数 Number of species	占总种数比例 Percentage of total species (%)
鹅膏菌科Amanitaceae	2	11	5.26	鹅膏菌属 Amanita	10	4.78
小菇科 Mycenaceae	2	12	5.74	丝盖伞属 Inocybe	5	2.39
多孔菌科 Polyporaceae	8	14	6.70	蜡蘑属 Laccaria	5	2.39
红菇科 Russulaceae	3	23	11.00	小皮伞属 Marasmius	6	2.87
				小菇属 Mycena	11	5.26
				光柄菇属 Pluteus	5	2.39
				红菇属 Russula	17	8.13
				栓菌属 Trametes	5	2.39

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