The kinematic wave model with finite decelerations: A social force car-following model approximation |
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| Affiliation: | 1. Departamento de Ingeniería de Transporte y Logística, Escuela de Ingeniería Pontificia Universidad Católica de Chile, Vicuña Mackenna 4860, Macul, Santiago, Chile;2. School of Civil and Environmental Engineering, Georgia Institute of Technology, Mason Building, 790 Atlantic Drive, Atlanta, GA 30332, USA;1. Institute of Systems Engineering, College of Management and Economics, Tianjin University, Tianjin 300072, China;2. MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China;3. Technische Universität Dresden, Institute for Transport & Economics, Würzburger Str. 35, D-01062 Dresden, Germany;1. MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China;2. State Key Laboratory of Fire Science and School of Engineering Science, University of Science and Technology of China, Hefei 230026, China;3. Department of Civil and Environmental Engineering, University of California Davis, Davis, CA 95616, United States;4. Department of Traffic Engineering, School of Transportation Engineering, Tongji University, Shanghai 200092, China;1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, China;2. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096, China;3. National Traffic Management Engineering Technology Research Centre Ningbo University Sub-centre, Ningbo 315211, China;4. Department of fundamental course, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China |
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| Abstract: | This paper derives a five-parameter social force car-following model that converges to the kinematic wave model with triangular fundamental diagram. Analytical solutions for vehicle trajectories are found for the lead-vehicle problem, which exhibit clockwise and counter-clockwise hysteresis depending on the model’s parameters and the lead vehicle trajectory. When coupled with a stochastic vehicle dynamics module, the model is able to reproduce periods and amplitudes of stop-and-go waves, as reported in the field. The model’s stability conditions are analysed and its trajectories are compared to real data. |
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| Keywords: | Traffic flow theory Microscopic traffic models Social force model Car-following Kinematic wave model |
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