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Continuum modeling of cooperative traffic flow dynamics

Author

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  • Ngoduy, D.
  • Hoogendoorn, S.P.
  • Liu, R.

Abstract

This paper presents a continuum approach to model the dynamics of cooperative traffic flow. The cooperation is defined in our model in a way that the equipped vehicle can issue and receive a warning massage when there is downstream congestion. Upon receiving the warning massage, the (up-stream) equipped vehicle will adapt the current desired speed to the speed at the congested area in order to avoid sharp deceleration when approaching the congestion. To model the dynamics of such cooperative systems, a multi-class gas-kinetic theory is extended to capture the adaptation of the desired speed of the equipped vehicle to the speed at the downstream congested traffic. Numerical simulations are carried out to show the influence of the penetration rate of the equipped vehicles on traffic flow stability and capacity in a freeway.

Suggested Citation

  • Ngoduy, D. & Hoogendoorn, S.P. & Liu, R., 2009. "Continuum modeling of cooperative traffic flow dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(13), pages 2705-2716.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:13:p:2705-2716
    DOI: 10.1016/j.physa.2009.02.040
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    References listed on IDEAS

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    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. Wagner, Christoph, 1998. "Asymptotic solutions for a multi-anticipative car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 260(1), pages 218-224.
    3. Ge, H.X. & Dai, S.Q. & Dong, L.Y., 2006. "An extended car-following model based on intelligent transportation system application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 543-548.
    4. Wong, G. C. K. & Wong, S. C., 2002. "A multi-class traffic flow model - an extension of LWR model with heterogeneous drivers," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(9), pages 827-841, November.
    5. Schönhof, Martin & Kesting, Arne & Treiber, Martin & Helbing, Dirk, 2006. "Coupled vehicle and information flows: Message transport on a dynamic vehicle network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 73-81.
    6. Helbing, Dirk & Hennecke, Ansgar & Shvetsov, Vladimir & Treiber, Martin, 2001. "MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model," Transportation Research Part B: Methodological, Elsevier, vol. 35(2), pages 183-211, February.
    7. Ngoduy, D. & Liu, R., 2007. "Multiclass first-order simulation model to explain non-linear traffic phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 667-682.
    8. Tang, T.Q. & Huang, H.J. & Xu, G., 2008. "A new macro model with consideration of the traffic interruption probability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(27), pages 6845-6856.
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    Cited by:

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    3. Zhao, Jing & Li, Peng, 2017. "An extended car-following model with consideration of vehicle to vehicle communication of two conflicting streams," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 178-187.
    4. Xiaoyuan Wang & Junyan Han & Chenglin Bai & Huili Shi & Jinglei Zhang & Gang Wang, 2021. "Research on the Impacts of Generalized Preceding Vehicle Information on Traffic Flow in V2X Environment," Future Internet, MDPI, vol. 13(4), pages 1-17, March.

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