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Dynamic Continuum Model with Elastic Demand for a Polycentric Urban City

Author

Listed:
  • Yan-Qun Jiang

    (Department of Mathematics, Southwest University of Science and Technology, Mianyang, 621010 Sichuan, China)

  • S.C. Wong

    (Department of Civil Engineering, University of Hong Kong, Hong Kong, China)

  • Peng Zhang

    (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, China)

  • Keechoo Choi

    (Department of Transportation Engineering, TOD-based Sustainable Urban Transportation Center, Ajou University, Suwon 442-749, Republic of Korea)

Abstract

This paper presents the development of a macroscopic dynamic traffic assignment model for continuum transportation systems with elastic demand. A reactive dynamic user equilibrium model is extended to simulate network equilibrium problems for an urban area with multiple central business districts (CBDs). Each copy of traffic flow reactively makes route choice decisions to minimize the total travel cost from origin to destination, based on instantaneous traffic information from a radio broadcasting service or route guidance system. The elastic demand function for each copy of flow is associated with its total instantaneous travel cost. The model is solved by a cell-centered finite volume method for conservation law equations and a fast sweeping method for Eikonal-type equations on unstructured grids. Numerical experiments for an urban traffic network with two CBDs are presented to verify the rationality of the model and the validity of the numerical method. The numerical results indicate that the model captures some macroscopic characteristics of two copies of flow interacting in time-varying urban transportation systems, e.g., the spatial distributions of the flow density and flux and the path choice behavior in response to elastic demand, and can describe traffic equilibrium phenomena, such as self-organization and traffic congestion build-up and dissipation.

Suggested Citation

  • Yan-Qun Jiang & S.C. Wong & Peng Zhang & Keechoo Choi, 2017. "Dynamic Continuum Model with Elastic Demand for a Polycentric Urban City," Transportation Science, INFORMS, vol. 51(3), pages 931-945, August.
    • Handle: RePEc:inm:ortrsc:v:51:y:2017:i:3:p:931-945
    DOI: 10.287/trsc.2016.0680
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    References listed on IDEAS

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    2. Jiang, Yanqun & Ding, Zhongjun & Zhou, Jun & Wu, Peng & Chen, Bokui, 2022. "Estimation of traffic emissions in a polycentric urban city based on a macroscopic approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).
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    4. Wu, Chao-Yun & Li, Ming & Jiang, Rui & Hao, Qing-Yi & Hu, Mao-Bin, 2018. "Perimeter control for urban traffic system based on macroscopic fundamental diagram," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 231-242.

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