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Chain-reaction crash in traffic flow controlled by taillights

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  • Nagatani, Takashi

Abstract

We study the chain-reaction crash (multiple-vehicle collision) in low-visibility condition on a road. In the traffic situation, drivers brake according to taillights of the forward vehicle. The first crash may induce more collisions. We investigate whether or not the first collision induces the chain-reaction crash, numerically and analytically. The dynamic transitions occur from no collisions through a single collision, double collisions and triple collisions, to multiple collisions with decreasing the headway. Also, we find that the dynamic transition occurs from the finite chain reaction to the infinite chain reaction when the headway is less than the critical value. We derive, analytically, the transition points and the region maps for the chain-reaction crash in traffic flow controlled by taillights.

Suggested Citation

  • Nagatani, Takashi, 2015. "Chain-reaction crash in traffic flow controlled by taillights," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 1-6.
    • Handle: RePEc:eee:phsmap:v:419:y:2015:i:c:p:1-6
    DOI: 10.1016/j.physa.2014.10.055
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    Cited by:

    1. He, Jia & Yang, Hai & Huang, Hai-Jun & Tang, Tie-Qiao, 2018. "Impacts of wireless charging lanes on travel time and energy consumption in a two-lane road system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 1-10.
    2. Fanyu Meng & Pengpeng Xu & Cancan Song & Kun Gao & Zichu Zhou & Lili Yang, 2020. "Influential Factors Associated with Consecutive Crash Severity: A Two-Level Logistic Modeling Approach," IJERPH, MDPI, vol. 17(15), pages 1-16, August.
    3. Tang, Tie-Qiao & Zhang, Jian & Liu, Kai, 2017. "A speed guidance model accounting for the driver’s bounded rationality at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 45-52.
    4. Jinhua Tan & Li Gong & Xuqian Qin, 2019. "Effect of Imitation Phenomenon on Two-Lane Traffic Safety in Fog Weather," IJERPH, MDPI, vol. 16(19), pages 1-15, October.
    5. Tang, Tie-Qiao & Zhang, Jian & Chen, Liang & Shang, Hua-Yan, 2017. "Analysis of vehicle’s safety envelope under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 127-133.
    6. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of social optimum for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 275-283.
    7. Bao, Ji & Chen, Qun & Luo, Dandan & Wu, Yuli & Liang, Zuli, 2018. "Exploring the impact of signal types and adjacent vehicles on drivers’ choices after the onset of yellow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 222-236.
    8. He, Jia & Huang, Hai-Jun & Yang, Hai & Tang, Tie-Qiao, 2017. "An electric vehicle driving behavior model in the traffic system with a wireless charging lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 119-126.
    9. Li, Chuan-Yao & Huang, Hai-Jun & Tang, Tie-Qiao, 2017. "Analysis of user equilibrium for staggered shifts in a single-entry traffic corridor with no late arrivals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 8-18.
    10. Ou, Hui & Tang, Tie-Qiao & Rui, Ying-Xu & Zhou, Jie-Ming, 2018. "Modeling electric bicycle’s abnormal behavior at a signalized intersection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 218-231.
    11. Tang, Tie-Qiao & Luo, Xiao-Feng & Zhang, Jian & Chen, Liang, 2018. "Modeling electric bicycle’s lane-changing and retrograde behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1377-1386.
    12. Jinhua Tan & Xuqian Qin & Li Gong, 2020. "Using Vehicle-to-Vehicle Communication to Improve Traffic Safety in Sand-dust Environment," IJERPH, MDPI, vol. 17(4), pages 1-15, February.

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