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A two-lane lattice hydrodynamic model with heterogeneous lane changing rates

Author

Listed:
  • Sun, Fengxin
  • Chow, Andy H.F.
  • Lo, S.M.
  • Ge, Hongxia

Abstract

Capturing lane changing behavior is crucial when developing a traffic flow modeling and optimization algorithm. This paper presents a two-lane lattice hydrodynamic model with consideration of heterogeneous lane changing rates over space. We further derive its linear stability condition for this extended lattice model with heterogeneous lane changing rates. Numerical experiments are carried out to investigate the effect of different values and percentages of lane changing rates on the system stability. This study contributes to the modeling and analytical techniques involving use of inter-vehicle communications.

Suggested Citation

  • Sun, Fengxin & Chow, Andy H.F. & Lo, S.M. & Ge, Hongxia, 2018. "A two-lane lattice hydrodynamic model with heterogeneous lane changing rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 389-400.
    • Handle: RePEc:eee:phsmap:v:511:y:2018:i:c:p:389-400
    DOI: 10.1016/j.physa.2018.08.012
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    References listed on IDEAS

    as
    1. Jiang, Rui & Wu, Qing-Song & Zhu, Zuo-Jin, 2002. "A new continuum model for traffic flow and numerical tests," Transportation Research Part B: Methodological, Elsevier, vol. 36(5), pages 405-419, June.
    2. D. Helbing, 2009. "Derivation of non-local macroscopic traffic equations and consistent traffic pressures from microscopic car-following models," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 69(4), pages 539-548, June.
    3. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    4. Chow, Andy H.F. & Lo, Hong K., 2007. "Sensitivity analysis of signal control with physical queuing: Delay derivatives and an application," Transportation Research Part B: Methodological, Elsevier, vol. 41(4), pages 462-477, May.
    5. Nagatani, Takashi, 1998. "Modified KdV equation for jamming transition in the continuum models of traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 599-607.
    6. Xin, Qi & Yang, Nan & Fu, Rui & Yu, Shaowei & Shi, Zhongke, 2018. "Impacts analysis of car following models considering variable vehicular gap policies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 338-355.
    7. 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.
    8. Ou, Hui & Tang, Tie-Qiao, 2018. "An extended two-lane car-following model accounting for inter-vehicle communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 260-268.
    9. Nagatani, Takashi, 1999. "Jamming transitions and the modified Korteweg–de Vries equation in a two-lane traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(1), pages 297-310.
    10. Sharma, Sapna, 2015. "Lattice hydrodynamic modeling of two-lane traffic flow with timid and aggressive driving behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 401-411.
    11. Li, Xiaoqin & Fang, Kangling & Peng, Guanghan, 2017. "A new lattice model accounting for multiple optimal current differences’ anticipation effect in two-lane system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 814-826.
    12. 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.
    13. Tian, Huan-huan & He, Hong-di & Wei, Yan-fang & Yu, Xue & Lu, Wei-zhen, 2009. "Lattice hydrodynamic model with bidirectional pedestrian flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2895-2902.
    14. Zhang, Geng & Sun, Di-hua & Liu, Wei-ning & Zhao, Min & Cheng, Sen-lin, 2015. "Analysis of two-lane lattice hydrodynamic model with consideration of drivers’ characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 422(C), pages 16-24.
    15. Redhu, Poonam & Gupta, Arvind Kumar, 2016. "Effect of forward looking sites on a multi-phase lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 150-160.
    16. Tang, Tie-Qiao & Wang, Tao & Chen, Liang & Huang, Hai-Jun, 2018. "Analysis of the equilibrium trip cost accounting for the fuel cost in a single-lane traffic system without late arrival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 451-457.
    17. Li, Xiaoqin & Fang, Kangling & Peng, Guanghan, 2017. "A new lattice model of traffic flow with the consideration of the drivers’ aggressive characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 315-321.
    18. 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.
    19. Laval, Jorge A. & Daganzo, Carlos F., 2006. "Lane-changing in traffic streams," Transportation Research Part B: Methodological, Elsevier, vol. 40(3), pages 251-264, March.
    20. 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.
    21. Ou, Hui & Tang, Tie-Qiao, 2018. "Impacts of carpooling on trip costs under car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 136-143.
    22. Wang, Jufeng & Sun, Fengxin & Cheng, Rongjun & Ge, Hongxia, 2018. "An extended heterogeneous car-following model with the consideration of the drivers’ different psychological headways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1113-1125.
    23. Tang, Tie-Qiao & Rui, Ying-Xu & Zhang, Jian & Shang, Hua-Yan, 2018. "A cellular automation model accounting for bicycle’s group behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1782-1797.
    24. Wang, Jufeng & Sun, Fengxin & Cheng, Rongjun & Ge, Hongxia, 2018. "An extended car-following model considering the self-stabilizing driving behavior of headway," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 347-357.
    25. Chow, Andy H.F. & Li, Shuai & Zhong, Renxin, 2017. "Multi-objective optimal control formulations for bus service reliability with traffic signals," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 248-268.
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    Citations

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    Cited by:

    1. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2023. "Jamming transition in two-lane lattice model integrating the deception attacks on influx during the lane-changing process under vehicle to everything environment," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Ma, Changxi & Li, Dong, 2023. "A review of vehicle lane change research," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    3. Madaan, Nikita & Sharma, Sapna, 2021. "A lattice model accounting for multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    4. Nikita Madaan & Sapna Sharma, 2022. "Influence of driver’s behavior with empirical lane changing on the traffic dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(1), pages 1-11, January.
    5. Zhang, Yu & Wang, Sha & Pan, Dong-bo & Zhang, Geng, 2021. "Stability analysis for a new lattice hydrodynamic model with time-varying delay in sensing traffic flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    6. Kaur, Daljeet & Sharma, Sapna, 2020. "A new two-lane lattice model by considering predictive effect in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    7. Zhai, Cong & Wu, Weitiao & Xiao, Yingping, 2023. "The jamming transition of multi-lane lattice hydrodynamic model with passing effect," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    8. Pan, Dong-Bo & Zhang, Geng & Jiang, Shan & Zhang, Yu & Cui, Bo-Yuan, 2021. "Delay-independent traffic flux control for a discrete-time lattice hydrodynamic model with time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).

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