A geometric Brownian motion car-following model: towards a better understanding of capacity drop

Traffic flow downstream of the congestion is generally lower than the pre-queue capacity. This phenomenon is called the capacity drop. Recent empirical observations show a positive relationship between the speed in congestion and the queue discharge rate. Literature indicates that variations in driver behaviors can account for the capacity drop....

Bounded acceleration capacity drop in a Lagrangian formulation of the kinematic wave model with vehicle characteristics and unconstrained overtaking

In this contribution a model-based analysis of the application of bounded acceleration in traffic flow is considered as a cause for the capacity drop. This is performed in a Lagrangian formulation of the kinematic wave model with general vehicle specific characteristics. Unconstrained overtaking is presumed, which allows a demonstration to be...