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math.OC2018
Optimal control of electricity input given an uncertain demand
Simone Göttlich, Ralf Korn, Kerstin Lux
We consider the problem of determining an optimal strategy for electricity injection that faces an uncertain power demand stream. This demand stream is modeled via an Ornstein-Uhle…
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…
math.AP2018
A model for a network of conveyor belts with discontinuous speed and capacity
Adriano Festa, Simone Göttlich, Marion Pfirsching
We introduce a macroscopic model for a network of conveyor belts with various speeds and capacities. In a different way from traffic flow models, the product densities are forced t…