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Equilibrium functions of traffic flow

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  • Ou, Zhong-Hui

Abstract

The equilibrium functions of traffic flow are investigated in the light of stability with recent experimental investigations and theoretical advances. Mathematical analysis and numerical simulations demonstrate that an equilibrium function is always unreasonable in some vehicle density interval, e.g. the downstream-moving cluster and the upstream-moving wave velocity of zero at traffic jam.

Suggested Citation

  • Ou, Zhong-Hui, 2005. "Equilibrium functions of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 620-636.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:2:p:620-636
    DOI: 10.1016/j.physa.2004.12.042
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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. Castillo, J. M. Del & Benítez, F. G., 1995. "On the functional form of the speed-density relationship--I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 373-389, October.
    3. Zhang, H. M., 1999. "Analyses of the stability and wave properties of a new continuum traffic theory," Transportation Research Part B: Methodological, Elsevier, vol. 33(6), pages 399-415, August.
    4. Yi, Jingang & Lin, Hao & Alvarez, Luis & Horowitz, Roberto, 2003. "Stability of macroscopic traffic flow modeling through wavefront expansion," Transportation Research Part B: Methodological, Elsevier, vol. 37(7), pages 661-679, August.
    5. 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.
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    Cited by:

    1. Ou, Zhong-Hui & Dai, Shi-Qiang & Dong, Li-Yun & Wu, Zheng & Tao, Ming-De, 2006. "New equilibrium function of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(2), pages 525-531.
    2. Muskan Verma & Arvind Kumar Gupta & Sapna Sharma, 2024. "Traffic flow dynamics and oscillation control in conserved fractal networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(10), pages 1-12, October.

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    Keywords

    Equilibrium function; Stability interval;

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