CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2020, Vol. 37 ›› Issue (6): 687-699.DOI: 10.19596/j.cnki.1001-246x.8143

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Modeling and Simulation of Dynamic Traffic Assignment Based on Conserved Higher-order Model

LI Haoyu1, LIN Zhiyang2, ZHANG Peng3, DUAN Yali1   

  1. 1. School of Mathematical Science, University of Science and Technology of China, Hefei, Anhui 230026, China;
    2. Department of Aeronautics and Astronautics, Fudan University, Shanghai 200433, China;
    3. Shanghai Institute of Applied Mathematics and Mechanics, The University of Shanghai, Shanghai 200072, China
  • Received:2019-09-17 Revised:2020-02-10 Online:2020-11-25 Published:2020-11-25

Abstract: For dynamic traffic assignment problem in road network,we adopt a conserved higher-order (CHO) model for modeling and numerical study. The CHO model is combined with dynamic network loading (DNL) model,and the dynamic network loading model is analyzed through variational inequalities. In numerical simulation,the first-order finite volume method was used to solve the CHO model,and a gradient descent method was used to solve the variational inequality problem of the dynamic network loading model iteratively. Finally,a distribution equilibrium was achieved under the dynamic user optimal condition. The numerical results show that the combination of CHO model and DNL model is feasible for solving the dynamic traffic assignment problem.

Key words: traffic flow, DTA problem, CHO model, DNL model, LWR model

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