Simone Göttlich

Modeling of production networks
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
to adopt the model to real-world applications.
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.