Journal of Jilin University(Engineering and Technology Edition) ›› 2024, Vol. 54 ›› Issue (9): 2441-2450.doi: 10.13229/j.cnki.jdxbgxb.20221397

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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

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

CLC Number: 

  • U491.1

Fig.1

Model of double network"

Fig.2

Diagram of node(edge) state"

Fig.3

Diagram of flow redistribution"

Fig.4

Flow chart of cascade failure algorithm"

Fig.5

Model of urban road network"

Table 1

Initialization parameters of roads under different levels"

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

Table 2

Initialization parameters of intersections under different levels"

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

Table 3

Part of the road network parameters"

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
??????

Fig.6

Network efficiency under different failure conditions"

Fig.7

Congestion degree under different failure conditions"

Fig.8

Network traffic quality under different failure conditions"

Fig.9

Normal node ratio under different failure conditions"

Table 4

Ranking of node importance"

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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