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Vehicle flow show continuous behavior and traffic light exhibit discrete event behavior, thus a rectangular hybrid automata model of a four-phase intersection is proposed in this paper. The queue lengths are considered as continuous variables to represent the vehicle flow behavior of the intersection, and the discrete event part are used to reflect the discrete characteristics traffic light. Based on the rectangular hybrid automata model, all directional vehicle flows are analyzed. A method for reachability analysis of rectangular hybrid automata is applied to examine the maximum and minimum of each queue length of the single intersection. The simulation based on toolbox CheckMate 3.6 shows that the rectangular hybrid automata model not only perfectly represents the hybrid characters of the dynamic traffic flow of the single intersection, but also verifies the efficiency of the time scheme of the traffic light.
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