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Meta-modelling, visualization and emulation of multi-dimensional data for virtual production intelligence

: Schulz, W.; Hermanns, T.; Al Khawli, T.


Simos, T.E. ; European Society of Computational Methods in Sciences and Engineering -ESCMSE-:
International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2016 : Rhodes, Greece, 19-25 September 2016
Melville/NY: AIP Publishing, 2017 (AIP Conference Proceedings 1863)
ISBN: 978-0-7354-1538-6
Art. 440003, 5 S.
International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) <2016, Rhodes>
Fraunhofer ILT ()

Decision making for competitive production in high-wage countries is a daily challenge where rational and irrational methods are used. The design of decision making processes is an intriguing, discipline spanning science. However, there are gaps in understanding the impact of the known mathematical and procedural methods on the usage of rational choice theory. Following Benjamin Franklin’s rule for decision making formulated in London 1772, he called “Prudential Algebra” with the meaning of prudential reasons, one of the major ingredients of Meta-Modelling can be identified finally leading to one algebraic value labelling the results (criteria settings) of alternative decisions (parameter settings). This work describes the advances in Meta-Modelling techniques applied to multi-dimensional and multi-criterial optimization by identifying the persistence level of the corresponding Morse-Smale Complex. Implementations for laser cutting and laser drilling are presented, including the generation of fast and frugal Meta-Models with controlled error based on mathematical model reduction Reduced Models are derived to avoid any unnecessary complexity. Both, model reduction and analysis of multi-dimensional parameter space are used to enable interactive communication between Discovery Finders and Invention Makers. Emulators and visualizations of a metamodel are introduced as components of Virtual Production Intelligence making applicable the methods of Scientific Design Thinking and getting the developer as well as the operator more skilled.