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Intelligent driver model : ウィキペディア英語版
Intelligent driver model
In traffic flow modeling, the intelligent driver model (IDM) is a time-continuous car-following model for the simulation of freeway and urban traffic. It was developed by Treiber, Hennecke and Helbing in 2000 to improve upon results provided with other "intelligent" driver models such as Gipps' Model, which lose realistic properties in the deterministic limit.
==Model definition==

As a car-following model, the IDM describes the dynamics of the positions and velocities of single vehicles. For vehicle \alpha, x_\alpha denotes its position at time t, and v_\alpha its velocity. Furthermore, l_\alpha gives the length of the vehicle. To simplify notation, we define the ''net distance'' s_\alpha := x_ - x_\alpha - l_, where \alpha - 1 refers to the vehicle directly in front of vehicle \alpha, and the velocity difference, or ''approaching rate'', \Delta v_\alpha := v_\alpha - v_. For a simplified version of the model, the dynamics of vehicle \alpha are then described by the following two ordinary differential equations:
:\dot_\alpha = \frac = v_\alpha
:\dot_\alpha = \frac = a\,\left( 1 - \left(\frac\right)^\delta - \left(\frac\right)^2 \right)
:\texts^
*(v_\alpha,\Delta v_\alpha) = s_0 + v_\alpha\,T + \frac{2\,\sqrt{a\,b}}
v_0, s_0, T, a, and b are model parameters which have the following meaning:
* ''desired velocity'' v_0: the velocity the vehicle would drive at in free traffic
* ''minimum spacing'' s_0: a minimum desired net distance. A car can't move if the distance from the car in the front is not at least s_0
* ''desired time headway'' T: the desired time headway to the vehicle in front
* ''acceleration'' a
* ''comfortable braking deceleration'' b
The exponent \delta is usually set to 4.

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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