Math for the Digital Factory

  • Luca Ghezzi
  • Dietmar Hömberg
  • Chantal Landry

Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 27)

Also part of the The European Consortium for Mathematics in Industry book sub series (TECMI, volume 27)

Table of contents

  1. Front Matter
    Pages i-x
  2. Planning and Scheduling of Production Systems

    1. Front Matter
      Pages 1-1
    2. Tamás Kis, Márton Drótos
      Pages 3-19
    3. Simone Göttlich, Michael Herty, Melanie Luckert
      Pages 21-36
    4. Xavier David-Henriet, Laurent Hardouin, Jörg Raisch
      Pages 37-60
  3. Optimization of Production Lines

    1. Front Matter
      Pages 115-115
    2. Felix Damrath, Anton Strahilov, Thomas Bär, Michael Vielhaber
      Pages 117-133
    3. Pavel Burget, Libor Bukata, Přemysl Šůcha, Martin Ron, Zdeněk Hanzálek
      Pages 135-161
    4. T. Hajba, Z. Horváth, C. Kiss-Tóth, J. Jósvai
      Pages 163-182
    5. Dietmar Hömberg, Chantal Landry, Martin Skutella, Wolfgang A. Welz
      Pages 183-203
    6. Konstantin D. Palagachev, Matthias Gerdts
      Pages 205-228
  4. Selected Production Technologies

    1. Front Matter
      Pages 229-229
    2. Fredrik Edelvik, Andreas Mark, Niklas Karlsson, Tomas Johnson, Johan S. Carlson
      Pages 231-251
    3. David Brander, Andreas Bærentzen, Anton Evgrafov, Jens Gravesen, Steen Markvorsen, Toke Bjerge Nørbjerg et al.
      Pages 253-272
    4. M. Krüger, M. Borzykh, U. Damerow, M. Gräler, A. Trächtler
      Pages 273-288
  5. Back Matter
    Pages 341-348

About this book


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.


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

Editors and affiliations

  • Luca Ghezzi
    • 1
  • Dietmar Hömberg
    • 2
  • Chantal Landry
    • 3
  1. 1.ABB Italy S.p.A.Mathematical Modeling & Numerical SimulationsVittuoneItaly
  2. 2.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany
  3. 3.Zurich University of Applied SciencesWinterthurSwitzerland

Bibliographic information

Industry Sectors
Finance, Business & Banking