吉林大学学报(工学版) ›› 2024, Vol. 54 ›› Issue (9): 2441-2450.doi: 10.13229/j.cnki.jdxbgxb.20221397

• 车辆工程·机械工程 • 上一篇    

基于流量可调重分配的级联失效模型

郑长江(),陶童统,陈志超   

  1. 河海大学 土木与交通学院,南京 210098
  • 收稿日期:2022-11-02 出版日期:2024-09-01 发布日期:2024-10-28
  • 作者简介:郑长江(1966-),男,教授,博士.研究方向:交通运输规划与管理.E-mail:zhenghhu@sina.com
  • 基金资助:
    国家自然科学基金项目(71801079);江苏省交通运输科技项目(2021G09)

Cascading failure model based on adjustable redistribution of traffic flow

Chang-jiang ZHENG(),Tong-tong TAO,Zhi-chao CHEN   

  1. College of Civil and Transportation Engineering,Hohai University,Nanjing 210098,China
  • Received:2022-11-02 Online:2024-09-01 Published:2024-10-28

摘要:

为提高城市道路交通网络可靠性,减少级联失效对网络造成的危害,本文对城市路网级联失效进行研究。首先,构建具有双层网络结构特性的城市道路交通网络模型。其次,根据容量-流量模型以及城市路网特点,建立城市道路交通网络级联失效模型。再次,利用网络效率、网络阻塞程度、网络通行质量、正常节点比4个指标对网络可靠性进行评估,分析了不同攻击策略、拥堵失效阈值对道路交通网络可靠性的影响。最后,以上海市某区域道路交通网络为例进行案例仿真分析。仿真结果表明:选择性攻击下网络的可靠性更低;失效阈值越小,网络的可靠性越高,级联失效抗毁性越强。研究结果对提高城市道路交通网络可靠性和增强网络级联失效抗毁性具有重要的现实意义。

关键词: 交通运输规划与管理, 级联失效, 网络拥堵, 可靠性, 复杂网络, 仿真

Abstract:

In order to improve the reliability of urban road network and reduce the damage caused by cascading failure to the network, the cascading failure of urban road network is studied. Firstly, the urban road network model with double layer network structure was built. Secondly, based on the capacity-flow model and the characteristics of urban road network, the cascading failure model of urban road network was established. Thirdly, the reliability of urban road network was evaluated by four indexes: network efficiency, congestion degree, network traffic quality and normal node ratio. The reliability of urban road network under different failure strategies and congestion failure thresholds was analyzed. Finally, the Shanghai regional road network was taken as an example to carry out a case study. The simulation results show that the reliability of the network is lower under selective attack. The smaller the failure threshold, the higher the reliability of the network, and the stronger the cascading failure resistance. The results of this paper have important practical significance to improve the reliability of urban road network and enhance the cascading failure resistance.

Key words: transportation planning and management, cascading failure, network congestion, reliability, complex network, simulation

中图分类号: 

  • U491.1

图1

双层网络模型"

图2

节点(边)状态图"

图3

流量重分配示意图"

图4

级联失效算法流程"

图5

城市道路交通网络模型"

表1

路段规模等级初始化参数表"

路段规

模等级

初始流量/

[pcu·(h·km)-1

初始容量/

[pcu·(h·km)-1

自由行驶速度/(km·h-1
5 0006 00060
3 3334 00060
1 6672 00040
8331 00030

表2

交叉口规模等级初始化参数表"

交叉口规模等级

初始流量

/(pcu·h-1

初始容量

/(pcu·h-1

直径距离

/m

初始阻抗

/s

2503005015
1171403510
4250255

表3

部分路网参数表"

路段

规模

等级

距离长度

/km

初始流量

/(pcu·h-1

初始容量

/(pcu·h-1

初始阻

抗/s

1-20.199501 14011.4
1-130.2376792013.8
2-140.2218322026.4
6-100.101672009.0
13-230.279001 08016.2
14-230.2135042018.9
15-160.2236744019.8
16-170.2621726031.2
19-310.561 8672 24033.6
22-330.562 8003 36033.6
??????

图6

不同失效条件下网络效率"

图7

不同失效条件下阻塞程度"

图8

不同失效条件下网络通行质量"

图9

不同失效条件下正常节点比"

表4

节点重要度排序"

节点

排序

节点度节点强度介数中心性
节点编号数值节点编号数值节点编号数值
1114335 850114 072
2144275 517314 072
3154315 467354 072
4274225 033524 072
5314544 400594 072
???????
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