32 citations · 44 across the 4 of their papers we have counts for
5 papers
Modelling traffic flow fluctuations
Peter Wagner
By analyzing empirical time headway distributions of traffic flow, a hypothesis about the underlying stochastic process can be drawn. The results found lead to the assumption that…
Empirical basis for car-following theory development
Peter Wagner, Ihor Lubashevsky
By analyzing data from a car-following experiment, it is shown that drivers control their car by a simple scheme. The acceleration is held approximately constant for a certa…
Towards Noised-Induced Phase Transitions in Systems of Elements with Motivated Behavior
Ihor Lubashevsky, Morteza Hajimahmoodzadeh, Albert Katsnelson +1
A new type of noised-induced phase transitions that should occur in systems of elements with motivated behavior is considered. By way of an example, a simple oscillatory system {x,…
Towards the fundamentals of car following theory
Ihor Lubashevsky, Peter Wagner, Reinhard Mahnke
The problem of a car following a lead car driven with constant velocity is considered. To derive the governing equations for the following car dynamics a cost functional that ranks…
Breakdown and recovery in traffic flow models
Kai Nagel, Christopher Kayatz, Peter Wagner
Most car-following models show a transition from laminar to ``congested'' flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficien…