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Modeling and analysis of mixed flow of cars and powered two wheelers
Institution:1. EURECOM, Communication System Department, Sophia Antipolis, France;2. Université Côte d’Azur, Inria, CNRS, LJAD, France;1. Transportation Systems Engineering, Department of Civil Engineering, Indian Institute of Technology Hyderabad, Kandi, Medak - 502285, India;2. Department of Civil and Construction Engineering, Swinburne University of Technology, Melbourne – 3122, Australia;1. Department of Civil and Environmental Engineering, Institute of Transportation Studies, University of California, Berkeley, 107 McLaughlin Hall, Berkeley, CA 94720, USA;2. Department of Civil and Environmental Engineering, Institute of Transportation Studies, University of California, Berkeley, 114 McLaughlin Hall, Berkeley, CA 94720, USA;1. State Key Lab for Information Engineering in Surveying, Mapping and Remote Sensing (Wuhan University), LuoYu Road 129, 430079 Wuhan, China;2. School of Urban Design (Wuhan University), LuoYu Road 129, 430079 Wuhan, China;3. Shenzhen Key Laboratory of Spatial Smart Sensing and Services, College of Civil Engineering (Shenzhen University), Shenzhen 518060, China;1. The Key Laboratory of Road and Traffic Engineering, Ministry of Education, Tongji University, Shanghai 201804, China;2. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong
Abstract:In modern cities, a rapid increase of motorcycles and other types of Powered Two-Wheelers (PTWs) is observed as an answer to long commuting in traffic jams and complex urban navigation. Such increasing penetration rate of PTWs creates mixed traffic flow conditions with unique characteristics that are not well understood at present. Our objective is to develop an analytical traffic flow model that reflects the mutual impacts of PTWs and Cars. Unlike cars, PTWs filter between cars, have unique dynamics, and do not respect lane discipline, therefore requiring a different modeling approach than traditional “Passenger Car Equivalent” or “Follow the Leader”. Instead, this work follows an approach that models the flow of PTWs similarly to a fluid in a porous medium, where PTWs “percolate” between cars depending on the gap between them.Our contributions are as follows: (I) a characterization of the distribution of the spacing between vehicles by the densities of PTWs and cars; (II) a definition of the equilibrium speed of each class as a function of the densities of PTWs and cars; (III) a mathematical analysis of the model’s properties (IV) an impact analysis of the gradual penetration of PTWs on cars and on heterogeneous traffic flow characteristics.The proposed model could contribute as an enabler for ‘PTW-aware’ future Cooperative Intelligent Transport Systems technologies and traffic regulations.
Keywords:Multiclass macroscopic traffic flow model  Powered two wheelers  Motorcycle  Porous flow  Traffic impacts analysis
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