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控制理论与应用 2011
Mathematical model of traffic flow on arteries with coordinated control system
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Abstract:
Mathematical model of traffic flow on arteries with coordinated control system is a prerequisite for traffic forecasting, imulating and signal timing. A one-dimensional cellular automaton-model with improved open boundary conditions is used to simulate the traffic flow on arterial roads with coordinated control system. The model employs difference equations to describe dynamic behaviors of vehicles. The restriction on regularly spaced distribution of traffic signal lamps can be eliminated. Furthermore, the green-signal-ratio on every intersection can be chosen according to traffic flow fluctuations. The phase difference between adjacent intersections can be adjusted by green wave control. MATLAB is employed to simulate this model to analyze the impacts on mean velocity, density and volume of arterial traffic flow by the flow volume on the artery and the turning flow volumes from branches. Based on the results of simulation, a series of proposals for improving the arterial traffic situations are put forward.