5 papers · 1 filter
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…
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…
A Production Model with History Based Random Machine Failures
Stephan Knapp, Simone Göttlich
In this paper, we introduce a time-continuous production model that enables random machine failures, where the failure probability depends historically on the production itself. Th…