多期望分段线性跟驰模型
Multi-Anticipative Piecewise-Linear Car-Following Model
摘要：
本文将分段线性跟驰模型推广到多预期驾驶。在一辆车的预期模型，稳定性和固定制度的特点是由于变分制定的汽车动力学。我们研究了齐次驱动的情况。我们表明，在平稳制度，多预期模型保证相同的宏观行为的一辆车预期的。然而，在瞬态交通中，车辆速度和加速度的变化被多预期驾驶所缓解，并且车辆轨迹被平滑。基于NGSIM数据，采用分段线性回归方法对模型进行了参数辨识。
英文摘要：
We propose in this article an extension of the piecewise linear car-following model to multi-anticipative driving. As in the one-car-anticipative model, the stability and the stationary regimes are characterized thanks to a variational formulation of the car-dynamics. We study the homogeneous driving case. We show that in term of the stationary regime, the multi-anticipative model guarantees the same macroscopic behavior as for the one-car-anticipative one. Nevertheless, in the transient traffic, the variance in car-velocities and accelerations is mitigated by the multi-anticipative driving, and the car-trajectories are smoothed. A parameter identification of the model is made basing on NGSIM data and using a piecewise linear regression approach.
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