Math for the Digital Factory

Description

This volume provides a unique collection of mathematical tools and industrial case studies in digital manufacturing. It addresses various topics, ranging from models of single production technologies, production lines, logistics and workflows to models and optimization strategies for energy consumption in production. The digital factory represents a network of digital models and simulation and 3D visualization methods for the holistic planning, realization, control and ongoing improvement of all factory processes related to a specific product. In the past ten years, all industrialized countries have launched initiatives to realize this vision, sometimes also referred to as Industry 4.0 (in Europe) or Smart Manufacturing (in the United States). Its main goals are • reconfigurable, adaptive and evolving factories capable of small-scale production • high-performance production, combining flexibility, productivity, precision and zero defects • energy and resource efficiency in manufacturing None of these goals can be achieved without a thorough modeling of all aspects of manufacturing together with a multi-scale simulation and optimization of process chains; in other words, without mathematics. To foster collaboration between mathematics and industry in this area the European Consortium for Mathematics in Industry (ECMI) founded a special interest group on Math for the Digital Factory (M4DiFa). This book compiles a selection of review papers from the M4DiFa kick-off meeting held at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin, Germany, in May 2014. The workshop aimed at bringing together mathematicians working on modeling, simulation and optimization with researchers and practitioners from the manufacturing industry to develop a holistic mathematical view on digital manufacturing. This book is of interest to practitioners from industry who want to learn about important mathematical concepts, as well as to scientists who want to find out about an exciting new area of application that is of vital importance for today’s highly industrialized and high-wage countries. Front Matter ....Pages i-x Front Matter ....Pages 1-1 Hard Planning and Scheduling Problems in the Digital Factory (Tamás Kis, Márton Drótos)....Pages 3-19 Modeling of Material Flow Problems (Simone Göttlich, Michael Herty, Melanie Luckert)....Pages 21-36 Max-Plus-Linear Systems for Modeling and Control of Manufacturing Problems (Xavier David-Henriet, Laurent Hardouin, Jörg Raisch)....Pages 37-60 Stochastic Optimal Sizing of a Warehouse (Luca Ghezzi)....Pages 61-92 Challenges of Mechatronical Engineering of Production Systems: An Automation System Engineering View (Arndt Lüder, Nicole Schmidt)....Pages 93-114 Front Matter ....Pages 115-115 Physics-Based Simulation for Energy Consumption Optimization of Automated Assembly Systems in the Automotive Industry (Felix Damrath, Anton Strahilov, Thomas Bär, Michael Vielhaber)....Pages 117-133 Optimisation of Power Consumption for Robotic Lines in Automotive Industry (Pavel Burget, Libor Bukata, Přemysl Šůcha, Martin Ron, Zdeněk Hanzálek)....Pages 135-161 Production Line Optimization with Model Based Methods (T. Hajba, Z. Horváth, C. Kiss-Tóth, J. Jósvai)....Pages 163-182 Automatic Reconfiguration of Robotic Welding Cells (Dietmar Hömberg, Chantal Landry, Martin Skutella, Wolfgang A. Welz)....Pages 183-203 Numerical Approaches Towards Bilevel Optimal Control Problems with Scheduling Tasks (Konstantin D. Palagachev, Matthias Gerdts)....Pages 205-228 Front Matter ....Pages 229-229 Math-Based Algorithms and Software for Virtual Product Realization Implemented in Automotive Paint Shops (Fredrik Edelvik, Andreas Mark, Niklas Karlsson, Tomas Johnson, Johan S. Carlson)....Pages 231-251 Hot Blade Cuttings for the Building Industries (David Brander, Andreas Bærentzen, Anton Evgrafov, Jens Gravesen, Steen Markvorsen, Toke Bjerge Nørbjerg et al.)....Pages 253-272 Model-Based Design of Self-Correcting Forming Processes (M. Krüger, M. Borzykh, U. Damerow, M. Gräler, A. Trächtler)....Pages 273-288 Discrete Cosserat Rod Models Based on the Difference Geometry of Framed Curves for Interactive Simulation of Flexible Cables (Joachim Linn, Klaus Dreßler)....Pages 289-319 The Production of Filaments and Non-woven Materials: The Design of the Polymer Distributor (Christian Leithäuser, René Pinnau)....Pages 321-340 Back Matter ....Pages 341-348