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The formation and structure of vehicle clusters in the Payne-Whitham traffic flow model

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  • Jin, W. L.
  • Zhang, H. M.

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  • Jin, W. L. & Zhang, H. M., 2003. "The formation and structure of vehicle clusters in the Payne-Whitham traffic flow model," Transportation Research Part B: Methodological, Elsevier, vol. 37(3), pages 207-223, March.
    • Handle: RePEc:eee:transb:v:37:y:2003:i:3:p:207-223
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    References listed on IDEAS

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    1. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    2. Herrmann, Matthias & Kerner, Boris S, 1998. "Local cluster effect in different traffic flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(1), pages 163-188.
    3. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 281-287, August.
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    Citations

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    Cited by:

    1. Yu (Marco) Nie & H. Michael Zhang, 2008. "Oscillatory Traffic Flow Patterns Induced by Queue Spillback in a Simple Road Network," Transportation Science, INFORMS, vol. 42(2), pages 236-248, May.
    2. Meng, Y.C. & Lin, Z.Y. & Li, X.Y. & Qiao, D.L. & Guo, M.M. & Zhang, P., 2022. "A semi-discrete model of traffic flow in correspondence with a continuum model under Lagrange coordinate system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    3. Wu, Chun-Xiu & Zhang, Peng & Wong, S.C. & Choi, Keechoo, 2014. "Steady-state traffic flow on a ring road with up- and down-slopes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 85-93.
    4. Nie, Yu (Marco), 2010. "Equilibrium analysis of macroscopic traffic oscillations," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 62-72, January.
    5. Li, Jia & Zhang, H.M., 2013. "The variational formulation of a non-equilibrium traffic flow model: Theory and implications," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 314-325.
    6. Michael Z. F. Li, 2008. "A Generic Characterization of Equilibrium Speed-Flow Curves," Transportation Science, INFORMS, vol. 42(2), pages 220-235, May.
    7. Jin, Wen-Long, 2016. "On the equivalence between continuum and car-following models of traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 543-559.
    8. Zheng, Xiangyu & Huang, Ning & Bai, Ya-nan & Zhang, Xin, 2023. "A traffic-fractal-element-based congestion model considering the uneven distribution of road traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 632(P1).
    9. Yadong Lu & S. C. Wong & Mengping Zhang & Chi-Wang Shu, 2009. "The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship," Transportation Science, INFORMS, vol. 43(4), pages 511-530, November.
    10. Lin Li & Serdar Coskun & Jiaze Wang & Youming Fan & Fengqi Zhang & Reza Langari, 2021. "Velocity Prediction Based on Vehicle Lateral Risk Assessment and Traffic Flow: A Brief Review and Application Examples," Energies, MDPI, vol. 14(12), pages 1-30, June.
    11. Jin, Wen-Long, 2009. "Asymptotic traffic dynamics arising in diverge-merge networks with two intermediate links," Transportation Research Part B: Methodological, Elsevier, vol. 43(5), pages 575-595, June.

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