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Feedback strategy with delay in a two-route traffic network

Author

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  • Zeng, Jiao-Yan
  • Ou, Hui
  • Tang, Tie-Qiao

Abstract

Most feedback strategies (FSs) have feedback delay, but little effort has been made to study this topic. In this paper, we incorporate the feedback delay into the mean velocity feedback strategy (MVFS) and vehicle number feedback strategy (VNFS), then propose two FSs to study the impacts of delay on each vehicle’s trip cost and the total cost in a two-route network. The numerical results indicate that the delay has some impacts on each vehicle’s trip cost and the system’s total cost and that the impacts are related to each vehicle’s initial time headway at the origin. The results can guide each driver to adjust his/her route choice at the origin when the initial time headway is very high.

Suggested Citation

  • Zeng, Jiao-Yan & Ou, Hui & Tang, Tie-Qiao, 2019. "Feedback strategy with delay in a two-route traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    • Handle: RePEc:eee:phsmap:v:534:y:2019:i:c:s0378437119312713
    DOI: 10.1016/j.physa.2019.122195
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    References listed on IDEAS

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    1. Tang, Tie-Qiao & Yu, Qiang & Liu, Kai, 2017. "Analysis of the traffic running cost in a two-route system with feedback strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 1-9.
    2. Tobita, Kazuhiro & Nagatani, Takashi, 2012. "Effect of signals on two-route traffic system with real-time information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6137-6145.
    3. Zhu, Wen-Xing & Zhang, H.M., 2018. "Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 274-285.
    4. Gupta, A.K. & Katiyar, V.K., 2006. "A new anisotropic continuum model for traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 551-559.
    5. Leng, Jun-Qiang & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 761-766.
    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. Barkenbus, Jack N., 2010. "Eco-driving: An overlooked climate change initiative," Energy Policy, Elsevier, vol. 38(2), pages 762-769, February.
    8. Tang, Tie-Qiao & Luo, Xiao-Feng & Liu, Kai, 2016. "Impacts of the driver’s bounded rationality on the traffic running cost under the car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 316-321.
    9. Hino, Yuki & Nagatani, Takashi, 2014. "Effect of bottleneck on route choice in two-route traffic system with real-time information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 425-433.
    10. 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.
    11. Gupta, A.K. & Katiyar, V.K., 2006. "Phase transition of traffic states with on-ramp," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 674-682.
    12. Leng, Jun-Qiang & Liu, Wei-Yi & Zhao, Lin, 2017. "Analysis of electric vehicle’s trip cost allowing late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 293-300.
    13. Leng, Jun-qiang & Zhai, Jing & Li, Qian-wen & Zhao, Lin, 2018. "Construction of road network vulnerability evaluation index based on general travel cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 421-429.
    14. Chen, Bokui & Xie, Yanbo & Tong, Wei & Dong, Chuanfei & Shi, Dongmei & Wang, Binghong, 2012. "A comprehensive study of advanced information feedbacks in real-time intelligent traffic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2730-2739.
    15. Hino, Yuki & Nagatani, Takashi, 2015. "Asymmetric effect of route-length difference and bottleneck on route choice in two-route traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 416-425.
    16. Redhu, Poonam & Gupta, Arvind Kumar, 2015. "Jamming transitions and the effect of interruption probability in a lattice traffic flow model with passing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 249-260.
    17. Tobita, Kazuhiro & Nagatani, Takashi, 2013. "Green-wave control of an unbalanced two-route traffic system with signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5422-5430.
    18. Wahle, Joachim & Bazzan, Ana Lúcia C & Klügl, Franziska & Schreckenberg, Michael, 2000. "Decision dynamics in a traffic scenario," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 669-681.
    19. Zhu, Wen-Xing & Zhang, H.M., 2018. "Analysis of feedback control scheme on discrete car-following system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 322-330.
    20. Tang, Tie-Qiao & Wang, Tao & Chen, Liang & Shang, Hua-Yan, 2017. "Impacts of energy consumption and emissions on the trip cost without late arrival at the equilibrium state," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 341-349.
    21. Tang, Tie-Qiao & Yu, Qiang & Liu, Kai, 2016. "Analysis of the traffic running cost under random route choice behavior in a network with two routes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 408-415.
    22. Arvind Kumar Gupta, 2013. "A Section Approach To A Traffic Flow Model On Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-23.
    23. Li, Chuan-Yao & Huang, Hai-Jun, 2018. "User equilibrium of a single-entry traffic corridor with continuous scheduling preference," Transportation Research Part B: Methodological, Elsevier, vol. 108(C), pages 21-38.
    24. Hou, Qinzhong & Meng, Xianghai & Huo, Xiaoyan & Cheng, Yuxing & Leng, Junqiang, 2019. "Effects of freeway climbing lane on crash frequency: Application of propensity scores and potential outcomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 246-256.
    25. Guo, Xiaolei & Liu, Henry X., 2011. "Bounded rationality and irreversible network change," Transportation Research Part B: Methodological, Elsevier, vol. 45(10), pages 1606-1618.
    26. Tang, Tie-Qiao & Wang, Tao & Chen, Liang & Shang, Hua-Yan, 2017. "Analysis of the trip costs of a traffic corridor with two entrances and one exit under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 720-729.
    27. Zhu, Wen-Xing & Zhang, Li-Dong, 2016. "Analysis of car-following model with cascade compensation strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 265-274.
    28. Li, Chuan-Yao & Huang, Hai-Jun, 2017. "Morning commute in a single-entry traffic corridor with early and late arrivals," Transportation Research Part B: Methodological, Elsevier, vol. 97(C), pages 23-49.
    29. Zhu, Wen-Xing & Zhang, Jing-Yu, 2017. "An original traffic additional emission model and numerical simulation on a signalized road," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 107-119.
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    Cited by:

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    3. Verma, Muskan & Sharma, Sapna, 2023. "Modeling heterogeneity in an open percolation backbone fractal traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).

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