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General-Logistic-Based Speed-Density Relationship Model Incorporating the Effect of Heavy Vehicles

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  • Xingliang Liu
  • Jinliang Xu
  • Menghui Li
  • Leyu Wei
  • Han Ru

Abstract

Owing to its mathematical elegance and empirical accuracy, the speed-density model is critical in solving macroscopic traffic problems. This study developed an improved general-logistic-based speed-density model, which is a new method in macroscopic traffic flow theory. This article extensively discusses the properties of the general-logistic-based speed-density model. The physical meanings and values of all the parameters were determined based on the effect of heavy vehicles and the method for the linear and nonlinear regression analysis. The accuracy and versatility of the developed model were also found to be excellent based on the field data and relative error.

Suggested Citation

  • Xingliang Liu & Jinliang Xu & Menghui Li & Leyu Wei & Han Ru, 2019. "General-Logistic-Based Speed-Density Relationship Model Incorporating the Effect of Heavy Vehicles," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-10, February.
    • Handle: RePEc:hin:jnlmpe:6039846
    DOI: 10.1155/2019/6039846
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    Cited by:

    1. Xingliang Liu & Jian Wang & Tangzhi Liu & Jin Xu, 2021. "Forecasting Spatiotemporal Boundary of Emergency-Event-Based Traffic Congestion in Expressway Network Considering Highway Node Acceptance Capacity," Sustainability, MDPI, vol. 13(21), pages 1-17, November.

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