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The crossing of vehicle flow by pedestrians at either signalized crosswalks or locations away from crosswalks is studied using a car-following model.The model process is constructed,and two safe criterions deciding whether pedestrians begin to cross a road and a rule stopping vehicles at a signal intersection are proposed.Numerical results indicate that the relations of both vehicles and pedestrians delays to the width of pedestrian arrival interval are nonlinear;careful pedestrians unnecessarily spend more time to cross a road than aggressive ones;pedestrians crossing near a traffic signal have more influence on their and vehicles delays.When pedestrians are permitted to cross a road using the gaps between slow vehicles,their delay may increase.In recent years,intersecting pedestrian and vehicle flows on roads have been studied by using the microscopic simulation method.[1-5] In the method,the dynamics of vehicle flow are formulated by cell automata (CA) models[5] or car-following (CF) models[1-3] generally.It is well known that space is discretized into cells and the length of cells measures the moving distance of vehicles in the CA models.Thus,the CA models are used to investigate the effects of vehiclesacceleration and deceleration on the behaviors of both vehicles and pedestrians with difficulty.