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Logistic modeling of the equilibrium speed-density relationship

Author

Listed:
  • Wang, Haizhong
  • Li, Jia
  • Chen, Qian-Yong
  • Ni, Daiheng

Abstract

The fundamental diagram, as the graphical representation of the relationships among traffic flow, speed, and density, has been the foundation of traffic flow theory and transportation engineering. Seventy-five years after the seminal Greenshields model, a variety of models have been proposed to mathematically represent the speed-density relationship which underlies the fundamental diagram. Observed in these models was a clear path toward two competing goals: mathematical elegance and empirical accuracy. As the latest development of such a pursuit, this paper presents a family of speed-density models with varying numbers of parameters. All of these models perform satisfactorily and have physically meaningful parameters. In addition, speed variation with traffic density is accounted for; this enables statistical approaches to traffic flow analysis. The results of this paper not only improve our understanding of traffic flow but also provide a sound basis for transportation engineering studies.

Suggested Citation

  • Wang, Haizhong & Li, Jia & Chen, Qian-Yong & Ni, Daiheng, 2011. "Logistic modeling of the equilibrium speed-density relationship," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(6), pages 554-566, July.
  • Handle: RePEc:eee:transa:v:45:y:2011:i:6:p:554-566
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    References listed on IDEAS

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    1. 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.
    2. Castillo, J. M. Del & Benítez, F. G., 1995. "On the functional form of the speed-density relationship--II: Empirical investigation," Transportation Research Part B: Methodological, Elsevier, vol. 29(5), pages 391-406, October.
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    Cited by:

    1. repec:eee:transb:v:104:y:2017:i:c:p:256-271 is not listed on IDEAS
    2. Qu, Xiaobo & Wang, Shuaian & Zhang, Jin, 2015. "On the fundamental diagram for freeway traffic: A novel calibration approach for single-regime models," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 91-102.
    3. Jin, Sheng & Qu, Xiaobo & Zhou, Dan & Xu, Cheng & Ma, Dongfang & Wang, Dianhai, 2015. "Estimating cycleway capacity and bicycle equivalent unit for electric bicycles," Transportation Research Part A: Policy and Practice, Elsevier, vol. 77(C), pages 225-248.

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