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New equilibrium function of traffic flow

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  • Ou, Zhong-Hui
  • Dai, Shi-Qiang
  • Dong, Li-Yun
  • Wu, Zheng
  • Tao, Ming-De

Abstract

Using nonlinear stability theory in macroscopic traffic flow model, we proposed a new equilibrium function starting from the existing equilibrium functions. The kinematic wave velocity at jam density yielded by this equilibrium function is consistent with the empirical value, and this equilibrium function is related to the critical stability in higher density interval.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:362:y:2006:i:2:p:525-531
    DOI: 10.1016/j.physa.2005.12.024
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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. Ou, Zhong-Hui, 2005. "Equilibrium functions of traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 620-636.
    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. Michalopoulos, Panos G. & Yi, Ping & Lyrintzis, Anastasios S., 1993. "Continuum modelling of traffic dynamics for congested freeways," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 315-332, August.
    5. Zhang, H. M., 2002. "A non-equilibrium traffic model devoid of gas-like behavior," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 275-290, March.
    6. 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.
    7. Zhang, H. M., 1998. "A theory of nonequilibrium traffic flow," Transportation Research Part B: Methodological, Elsevier, vol. 32(7), pages 485-498, September.
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