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math.PR2018
Continuous approximation of distributions with application to production
Dieter Armbruster, Simone Göttlich, Stephan Knapp
A single queueing system with time-dependent exponentially distributed arrival processes and exponential machine processes (Kendall notation ) is analyzed. Modeling the…
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…