Noise-induced stop-and-go traffic dynamics: Modelling and control
Authors
Raphael Korbmacher, Parthib Khound, Antoine Tordeux, Frank Gronwald
Categories
Abstract
This contribution investigates an original stochastic approach for the emergence of stop-and-go waves in traffic flow, a collective phenomenon with significant safety and environmental implications. Using a stable nonlinear car-following model, the study shows that minimal white Gaussian noise can destabilise the flow, leading to a phase transition from laminar to periodic dynamics through a nonlinear instability phenomenon, analogous to Kapitza's pendulum. Furthermore, a simple linear transformation of the model, which amplifies the response and introduces a positive acceleration bias, counteracts noise-induced effects and recovers the stability of uniform solutions. The findings are supported by simulations, offering new insights into the modelling and mitigation of oscillatory traffic dynamics.
Noise-induced stop-and-go traffic dynamics: Modelling and control
Categories
Abstract
This contribution investigates an original stochastic approach for the emergence of stop-and-go waves in traffic flow, a collective phenomenon with significant safety and environmental implications. Using a stable nonlinear car-following model, the study shows that minimal white Gaussian noise can destabilise the flow, leading to a phase transition from laminar to periodic dynamics through a nonlinear instability phenomenon, analogous to Kapitza's pendulum. Furthermore, a simple linear transformation of the model, which amplifies the response and introduces a positive acceleration bias, counteracts noise-induced effects and recovers the stability of uniform solutions. The findings are supported by simulations, offering new insights into the modelling and mitigation of oscillatory traffic dynamics.
Authors
Raphael Korbmacher, Parthib Khound, Antoine Tordeux et al. (+1 more)
Click to preview the PDF directly in your browser