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An extended car-following model to describe connected traffic dynamics under cyberattacks

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  • Wang, Pengcheng
  • Yu, Guizhen
  • Wu, Xinkai
  • Qin, Hongmao
  • Wang, Yunpeng

Abstract

In this paper, the impacts of the potential cyberattacks on vehicles are modeled through an extended car-following model. To better understand the mechanism of traffic disturbance under cyberattacks, the linear and nonlinear stability analysis are conducted respectively. Particularly, linear stability analysis is performed to obtain different neutral stability conditions with various parameters; and nonlinear stability analysis is carried out by using reductive perturbation method to derive the soliton solution of the modified Korteweg de Vries equation (mKdV) near the critical point, which is used to draw coexisting stability lines. Furthermore, by applying linear and nonlinear stability analysis, traffic flow state can be divided into three states, i.e., stable, metastable and unstable states which are useful to describe shockwave dynamics and driving behaviors under cyberattacks. The theoretical results show that the proposed car-following model is capable of successfully describing the car-following behavior of connected vehicles with cyberattacks. Finally, numerical simulation using real values has confirmed the validity of theoretical analysis. The results further demonstrate our model can be used to help avoid collisions and relieve traffic congestion with cybersecurity threats.

Suggested Citation

  • Wang, Pengcheng & Yu, Guizhen & Wu, Xinkai & Qin, Hongmao & Wang, Yunpeng, 2018. "An extended car-following model to describe connected traffic dynamics under cyberattacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 351-370.
    • Handle: RePEc:eee:phsmap:v:496:y:2018:i:c:p:351-370
    DOI: 10.1016/j.physa.2017.12.013
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    as
    1. Liao, Weichen & Tordeux, Antoine & Seyfried, Armin & Chraibi, Mohcine & Drzycimski, Kevin & Zheng, Xiaoping & Zhao, Ying, 2016. "Measuring the steady state of pedestrian flow in bottleneck experiments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 248-261.
    2. Ge, H.X. & Cheng, R.J. & Dai, S.Q., 2005. "KdV and kink–antikink solitons in car-following models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 357(3), pages 466-476.
    3. Zhang, Geng & Zhao, Min & Sun, Di-Hua & Liu, Wei-Ning & Li, Hua-Min, 2016. "Stabilization effect of multiple drivers’ desired velocities in car-following theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 532-540.
    4. Reilly, Jack & Martin, Sébastien & Payer, Mathias & Bayen, Alexandre M., 2016. "Creating complex congestion patterns via multi-objective optimal freeway traffic control with application to cyber-security," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 366-382.
    5. Jin, Yanfei & Xu, Meng, 2016. "Stability analysis in a car-following model with reaction-time delay and delayed feedback control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 107-116.
    6. Robert E. Chandler & Robert Herman & Elliott W. Montroll, 1958. "Traffic Dynamics: Studies in Car Following," Operations Research, INFORMS, vol. 6(2), pages 165-184, April.
    7. Yu, Shaowei & Zhao, Xiangmo & Xu, Zhigang & Shi, Zhongke, 2016. "An improved car-following model considering the immediately ahead car’s velocity difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 446-455.
    8. G. F. Newell, 1961. "Nonlinear Effects in the Dynamics of Car Following," Operations Research, INFORMS, vol. 9(2), pages 209-229, April.
    9. Zhou, Jie & Shi, Zhong-Ke & Cao, Jin-Liang, 2014. "Nonlinear analysis of the optimal velocity difference model with reaction-time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 396(C), pages 77-87.
    10. Gipps, P.G., 1981. "A behavioural car-following model for computer simulation," Transportation Research Part B: Methodological, Elsevier, vol. 15(2), pages 105-111, April.
    11. Harold Greenberg, 1959. "An Analysis of Traffic Flow," Operations Research, INFORMS, vol. 7(1), pages 79-85, February.
    12. Yu, Shaowei & Huang, Mengxing & Ren, Jia & Shi, Zhongke, 2016. "An improved car-following model considering velocity fluctuation of the immediately ahead car," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 1-17.
    13. Duff, Thomas J. & Chong, Derek M. & Tolhurst, Kevin G., 2015. "Using discrete event simulation cellular automata models to determine multi-mode travel times and routes of terrestrial suppression resources to wildland fires," European Journal of Operational Research, Elsevier, vol. 241(3), pages 763-770.
    14. Vasic, Jelena & Ruskin, Heather J., 2012. "Cellular automata simulation of traffic including cars and bicycles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2720-2729.
    15. Nagatani, Takashi, 1999. "TDGL and MKdV equations for jamming transition in the lattice models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(3), pages 581-592.
    16. Tang, Tie-Qiao & Chen, Liang & Huang, Hai-Jun & Song, Ziqi, 2016. "Analysis of the equilibrium trip cost without late arrival and the corresponding traffic properties using a car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 348-360.
    17. Eiji Kometani & Tsuna Sasaki, 1959. "A Safety Index for Traffic with Linear Spacing," Operations Research, INFORMS, vol. 7(6), pages 704-720, December.
    18. Kayvan Aghabayk & Majid Sarvi & William Young, 2015. "A State-of-the-Art Review of Car-Following Models with Particular Considerations of Heavy Vehicles," Transport Reviews, Taylor & Francis Journals, vol. 35(1), pages 82-105, January.
    19. Zhao, Jing & Li, Peng, 2016. "An extended car-following model with consideration of speed guidance at intersections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 1-8.
    20. Denos C. Gazis, 2002. "The Origins of Traffic Theory," Operations Research, INFORMS, vol. 50(1), pages 69-77, February.
    21. Yu, Shaowei & Zhao, Xiangmo & Xu, Zhigang & Zhang, Licheng, 2016. "The effects of velocity difference changes with memory on the dynamics characteristics and fuel economy of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 613-628.
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    Cited by:

    1. Cheng, Rongjun & Ji, Qun & Zheng, Yuchen & Ge, Hongxia, 2023. "Analysis of the impact of cyberattacks on the lane changing behavior of connected automated vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    2. Manar Abu Talib & Sohail Abbas & Qassim Nasir & Mohamad Fouzi Mowakeh, 2018. "Systematic literature review on Internet-of-Vehicles communication security," International Journal of Distributed Sensor Networks, , vol. 14(12), pages 15501477188, December.
    3. Zhang, Geng & Yin, Le & Pan, Dong-Bo & Zhang, Yu & Cui, Bo-Yuan & Jiang, Shan, 2020. "Research on multiple vehicles’ continuous self-delayed velocities on traffic flow with vehicle-to-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    4. Cui, Bo-Yuan & Zhang, Geng & Ma, Qing-Lu, 2021. "A stable velocity control strategy for a discrete-time car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    5. Ge, Hongxia & Lin, Lizhen & Cheng, Rongjun, 2023. "Modeling and stabilization control for heterogeneous traffic flow model considering cyberattacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
    6. Peng, Guanghan & Li, Xinhai & Wang, Hailing & Tan, Huili, 2024. "Bifurcation and phase transitions in car-following model integrating driver's characteristic and speed limit on spiral slope roads," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    7. Kun Zhang & Yu Xue & Hao-Jie Luo & Qiang Zhang & Yuan Tang & Bing-Ling Cen, 2023. "Cyber-attacks on the optimal velocity and its variation by bifurcation analyses," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(12), pages 1-19, December.
    8. Hua, Xuedong & Yu, Weijie & Wang, Wei & Zhao, De, 2023. "Impact of multi-class stochastic cyberattacks on vehicle dynamics and rear-end collision risks for heterogeneous traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    9. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2024. "Phase transitions of dual-lane lattice model incorporating cyber-attacks on lane change involving inflow and outflow under connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).

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