Freeway Traffic Modelling and Control by Antonella Ferrara Simona Sacone & Silvia Siri

Author:Antonella Ferrara, Simona Sacone & Silvia Siri
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

(6.28)

where is the speed of vehicles arriving at the on-ramp and is the speed of vehicles moving within the queue of the on-ramp.

The acceleration of waiting vehicles is computed as

(6.29)

The acceleration of leaving vehicles with stop is obtained as

(6.30)

while the acceleration of leaving vehicles without stop is given by

(6.31)

Fig. 6.4Groups of on-ramp vehicles if

Fig. 6.5Groups of on-ramp vehicles if

The number of vehicles that belong to each group is computed depending on the value of the flow leaving the on-ramp and entering the mainstream. In particular, two cases may be distinguished:1.if , corresponding to the case in which the vehicles entering the mainstream are fewer than the vehicles in the queue (see Fig. 6.4), the number of vehicles of the four groups is given by

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