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microscopic traffic flow model : ウィキペディア英語版
microscopic traffic flow model

Microscopic traffic flow models are a class of scientific models of vehicular traffic dynamics.
In contrast to macroscopic models, microscopic traffic flow models simulate single vehicle-driver units, so the dynamic variables of the models represent microscopic properties like the position and velocity of single vehicles.
==Car-following models==
Also known as ''time-continuous models'', all car-following models have in common that they are defined by ordinary differential equations describing the complete dynamics of the vehicles' positions x_\alpha and velocities v_\alpha. It is assumed that the input stimuli of the drivers are restricted to their own velocity v_\alpha, the net distance (bumper-to-bumper distance) s_\alpha = x_ - x_\alpha - l_ to the leading vehicle \alpha-1 (where l_ denotes the vehicle length), and the velocity v_ of the leading vehicle. The equation of motion of each vehicle is characterized by an acceleration function that depends on those input stimuli:
:\ddot_\alpha(t) = \dot_\alpha(t) = F(v_\alpha(t), s_\alpha(t), v_(t))
In general, the driving behavior of a single driver-vehicle unit \alpha might not merely depend on the immediate leader \alpha-1 but on the n_a vehicles in front. The equation of motion in this more generalized form reads:
:\dot_\alpha(t) = f(x_\alpha(t), v_\alpha(t), x_(t), v_(t), \ldots, x_(t), v_(t))

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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