Load-dependent machine failures in production network models
Probability
2019-12-13 v1
Abstract
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 a well-established deterministic model and show its well-posedness. To do so, we make use of the theory of piecewise deterministic Markov processes and fuse it with the theory of the underlying deterministic production model. Finally, we compare the load-dependent model to the already established load-independent model and highlight the new properties in numerical examples.
Keywords
Cite
@article{arxiv.1806.03091,
title = {Load-dependent machine failures in production network models},
author = {Simone Göttlich and Stephan Knapp},
journal= {arXiv preprint arXiv:1806.03091},
year = {2019}
}
Comments
20 pages