Optimal Material Flow Control of Production Lines by Multiscale Network Models

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Physically based simulation, discrete, event simulation or flow simulation are simulation approaches for improving the material flow of production lines. These methods are generally suitable for simulations of indi-vidual system components and the subsequent (local) heuristic optimization of the entire system. The objec-tive of the proposed research project is the local and global optimization of the material flow by means of the theory of classical optimization by multi-scale network models known from mathematics with a subsequent optimization of control and layout. In the beginning, flow models of individual components are deduced from physics models because their simulation takes much less time with almost the same accuracy. Then a net-work of the complete material flow is implemented at the nodes allowing for the flow to continue. In order to ensure the coherence between the physics model and the flow model, a multi-scale network model is de-signed. This multi-scale network model is the basis for the mathematical and deterministic calculation of the optimal global control by means of the network flow model and a concrete local optimization by means of the physics models. Typically the best selection from the various alternatives is made manually according to the objectives (simulation-based optimization). However, the purpose of the optimal material flow control de-scribed here is to be able to calculate the best alternative by mathematical optimization strategies and nu-merical solution methods. Within this research project algorithms will be developed that for the first time allow the global throughout optimization of material flow elements using deterministic, mathematical methods. For achieving the milestones Modelling, Multiscale Network Models and Optimal Material Flow Control a close cooperation between mathematical and engineering sciences is indispensable.