62 citations · 155 across the 41 of their papers we have counts for
6 papers · 1 filter
Nonlocal approaches for multilane traffic models
Jan Friedrich, Simone Göttlich, Elena Rossi
We present a multilane traffic model based on balance laws, where the nonlocal source term is used to describe the lane changing rate. The modelling framework includes the consider…
Input-to-state stability of a scalar conservation law with nonlocal velocity
Simone Göttlich, Michael Herty, Gediyon Weldegiyorgis
In this paper, we study input-to-state stability (ISS) of an equilibrium for a scalar conservation law with nonlocal velocity and measurement error arising in a highly re-entrant m…
Microscopic and Macroscopic Traffic Flow Models including Random Accidents
Simone Göttlich, Thomas Schillinger
We introduce microscopic and macroscopic stochastic traffic models including traffic accidents. The microscopic model is based on a Follow-the-Leader approach whereas the macroscop…
The food seeking behavior of slime mold: a macroscopic approach
Simone Göttlich, Stephen Knapp, Dylan Weber
Starting from a particle model we derive a macroscopic aggregation-diffusion equation for the evolution of slime mold under the assumption of propagation of chaos in the large part…
Modelling arterial travel time distribution using copulas
Adam Samara, Felix Rempe, Simone Göttlich
The estimation of travel time distribution (TTD) is critical for reliable route guidance and provides theoretical bases and technical support for advanced traffic management and co…
Properties of the LWR model with time delay
Simone Göttlich, Elisa Iacomini, Thomas Jung
In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results…