An extended car-following model considering the acceleration derivative in some typical traffic environments

作者：Zhou, Tony^*; Chen, Dong; Liu, Weining

来源：Modern Physics Letters B, 2018, 32(8): 1850020.

DOI：10.1142/S0217984918500203

• Traffic flow
• traffic congestion
• car-following model
• acceleration derivative
• jamming transition

Based on the full velocity difference and acceleration car-following model, an extended car-following model is proposed by considering the vehicle's acceleration derivative. The stability condition is given by applying the control theory. Considering some typical traffic environments, the results of theoretical analysis and numerical simulation show the extended model has a more actual acceleration of string vehicles than that of the previous models in starting process, stopping process and sudden brake. Meanwhile, the traffic jams more easily occur when the coefficient of vehicle's acceleration derivative increases, which is presented by space-time evolution. The results confirm that the vehicle's acceleration derivative plays an important role in the traffic jamming transition and the evolution of traffic congestion.

• 出版日期2018-3-20
• 单位重庆大学