A general Newell model that considers the anticipation behaviors of drivers is presented. The model contains a new parameter called the anticipation factor. Three types of car-following models are derived from the general Newell model as second-order expressions. Two types of derived models are consistent with the full velocity difference model. All three types of derived models can be transformed to the optimal velocity model when the anticipation factor equals zero. It is found that the speed difference term in the full velocity difference model reflects the anticipation behaviors of drivers. The vehicle trajectory data of the Dutch A2 motorway are used to calibrate the models. The results of model calibrations are the basis for investigation of the distributions of the time lag and the anticipation factor among the driver population. The parameters of the three proposed models present good correlations between each other. A numerical simulation is conducted to explore the properties of the proposed models when applied in the adaptive cruise control system. Both the proposed Type I model (the full velocity difference model) and the proposed Type III model present good performance in controlling vehicles moving along the optimal trajectory, especially when the anticipation factors of the models are set to one.
General Newell Model and Related Second-Order Expressions
Transportation Research Record: Journal of the Transportation Research Board
Transportation Research Record: Journal of the Transportation Research Board ; 2260 , 1 ; 42-49
2011-01-01
Article (Journal)
Electronic Resource
English
General Newell Model and Related Second-Order Expressions
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