Title:

Modeling of production networks

Abstract:

Capacity utilization of
production networks is an important question arising in the context of
supply chain planning.

Motivated by this problem we propose a network model consisting of partial and ordinary differential equations which is suitable for the approximation of continuous material flows. We give an idea how to prove existence of such a network solution and explain reasonable extensions

Motivated by this problem we propose a network model consisting of partial and ordinary differential equations which is suitable for the approximation of continuous material flows. We give an idea how to prove existence of such a network solution and explain reasonable extensions

to adopt the model to real-world
applications.

The maximization of output under certain constraints determined by the equations of the network model

The maximization of output under certain constraints determined by the equations of the network model

will be the aim of optimization. We comment on the inclusion of discrete decisions
and present computational results.