Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Load-dependent machine failures in production network models   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.

32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci