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math.PR2019
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…
math.PR2018
Load-dependent machine failures in production network models
Simone Göttlich, Stephan Knapp
In this paper, a production model based on (hyperbolic) differential equations with stochastic and load-dependent machine failures is introduced. We derive the model on the base of…