A probabilistic model for the behaviour of traffic at a roundabout |
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| Institution: | 1. MOE Key Laboratory for Transportation Complex Systems Theory and Technology, Beijing Jiaotong University, Beijing 100044, China;2. Center of Cooperative Innovation for Beijing Metropolitan Transportation, Beijing 100022, China;3. Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai Jiaotong University, Shanghai 200240, China;4. Beijing Municipality Key Laboratory of Urban Traffic Operation Simulation and Decision Support, Beijing Transportation Research Center, Beijing 100073, China;1. Department of Mining and Civil Engineering, Universidad Politécnica de Cartagena, 30202, Cartagena, Spain;2. Department of Information and Communications Technologies, Universidad Politécnica de Cartagena, 30202, Cartagena, Spain;3. Department of Electronic Technology, Universidad Politécnica de Cartagena, 30202, Cartagena, Spain;4. Entidad de Saneamiento y Depuración de Aguas Residuales de la Región de Murcia (ESAMUR), c/Madre Paula Gil Cano, s/n, E-30009, Murcia, Spain |
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| Abstract: | A discrete-time, Markov chain model is proposed to describe the behaviour of traffic travelling on a single-lane roundabout and queueing on approach roads to enter the roundabout. A general origin-destination matrix is allowed for trip ends, there is an arbitrary number of approach roads and there is room for a general number of vehicles on each weaving section. Attention is given to the equilibrium régime at an approach subject to heavy traffic conditions. It is shown that for such an approach the moments of the distribution of the length of the queue of waiting vehicles may be found by a heavy traffic approximation. |
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