Math for the Digital Factory

Part I: Planning and Scheduling of Production Systems: Hard Planning and Scheduling Problems in the Digital Factory.- Modeling of Material Flow Problems.- Max-Plus-Linear Systems for Modeling and Control of Manufacturing Problems.- Stochastic Optimal Sizing of a Warehouse.- Challenges of Mechatronical Engineering of Production Systems - an Automation System Engineering View.- Part II: Optimization of Production Lines: Physics-Based Simulation for Energy Consumption Optimization of Automated Assembly Systems in the Automotive Industry.- Optimization of Power Consumption for Robotic Lines in Automotive Industry.- Production Line Optimization with Model Based Methods.- Automatic Reconfiguration of Robotic Welding Cells.- Numerical Approaches Towards Bi-Level Optimal Control Problems with Scheduling Tasks.- Part III: Selected Production Technologies: Math-Based Algorithms and Software for Virtual Product Realization Implemented in Automotive Paint Shops.- Hot BladeCuttings for the Building Industries.- Model-Based Design of Self-Correcting Forming Processes.- Discrete Cosserat Rod Models Based on the Difference Geometry of Framed Curves for Interactive Simulation of Flexible Cables.- The Production of Filaments and Non-Woven Materials - The Design of the Polymer Distributor.

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• Optimização
• Modelação matemática
• Cibernética e teoria dos sistemas
• Matemática para engenheiros
• Pesquisa operacional
• Probabilidade e Estatística
• Análise numérica
• Economia, negócios, finanças e gestão

planning and scheduling;material flow;discrete event simulation;automatic reconfiguration;virtual production;multi-physics modelling