12 citations · 40 across the 9 of their papers we have counts for
11 papers
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…
Modeling random traffic accidents by conservation laws
Simone Göttlich, Stephan Knapp
We introduce a stochastic traffic flow model to describe random traffic accidents on a single road. The model is a piecewise deterministic process incorporating traffic accidents a…
Car Path Tracking in Traffic Flow Networks with Bounded Buffers at Junctions
Theresa Dambach, Simone Göttlich, Stephan Knapp
This article deals with the modeling for an individual car path through a road network, where the dynamics is driven by a coupled system of ordinary and partial differential equati…
Uncertainty quantification with risk measures in production planning
Simone Göttlich, Stephan Knapp
This paper is concerned with a simulation study for a stochastic production network model, where the capacities of machines may change randomly. We introduce performance measures m…
Feedback Stabilization for a coupled PDE-ODE Production System
Vanessa Baumgärtner, Simone Göttlich, Stephan Knapp
We consider an interlinked production model consisting of conservation laws (PDE) coupled to ordinary differential equations (ODE). Our focus is the analysis of control laws for th…
Piecewise deterministic Markov processes driven by scalar conservation laws
Stephan Knapp
We investigate piecewise deterministic Markov processes (PDMP), where the deterministic dynamics follows a scalar conservation law and random jumps in the system are characterized…