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A car-following model for connected vehicles under the bidirectional-leader following topology

This study proposes a new car-following model to capture the characteristics of the connected vehicles (CVs) traffic stream under the bidirectional-leader following topology. To this end, the connection relationship between vehicles through vehicle-to-vehicle communication is described by a bidirectional-leader following topology. Then, the communication topology is characterized using the adjacent matrix. Consequently, a new car-following model is developed to capture the interactions between vehicles. In addition, the stability of the proposed model is analyzed using the perturbation method. Finally, numerical experiments are conducted. Results show that the stable region of the proposed model varies with the size of the traffic stream.