Asymmetric stochastic Tau Theory in car-following |
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| Institution: | 1. Department of Automation, Tsinghua University, Beijing 100084, China;2. Department of Civil Engineering, Tsinghua University, Beijing 100084, China;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. Université de Lyon, Lyon, France;2. IFSTTAR, COSYS-LICIT, Bron, France;3. ENTPE, LICIT, Vaulx-en-Velin, France;4. Department of Transportation Engineering, Università di Napoli Federico II, Italy;5. Institute for the Energy and Transport, European Commission – Joint Research Centre, Italy;1. School of Engineering Science, University of Science and Technology of China, Hefei, Anhui 230026, China;2. MOE Key Laboratory for Urban Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China;3. Department of Civil and Env. Engineering, University of California, Davis, USA;4. Institute of Systems Engineering, College of Management and Economics, Tianjin University, Tianjin 300072, China;1. Jiangsu Key Laboratory of Urban ITS, Jiangsu Collaborative Innovation Center of Modern Urban Traffic Technologies, School of Transportation, Southeast University, Si Pai Lou #2, Nanjing, 210096, China;2. Department of Civil, Environmental and Construction Engineering, University of Central Florida, Orlando, Florida, 32816, USA;1. Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, 4800 Cao’an Road, Shanghai 201804, PR China;2. Jiangsu Province Collaborative Innovation Center of Modern Urban Traffic Technologies, SiPaiLou #2, Nanjing 210096, PR China;3. School of Transportation and Logistics, Dalian University of Technology, Dalian, Liaoning 116024, PR China |
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| Abstract: | In this paper, we examine the distribution of headways collected from Next Generation SIMulation (NGSIM) datasets. Statistics show that the observed headways follow a certain log-normal type distribution within each preselected velocity range. To explain this phenomenon, an asymmetric stochastic extension of the Tau Theory is proposed. This novel approach assumes that the observed headway distributions are due to drivers’ continuous headway adjustment behaviours, and that the intensity of headway change is proportional to headway magnitude. The agreement between the model predictions and the empirical observations indicates that driving behaviours may be implicitly governed by the physiological Tau characteristics of drivers. |
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