演讲摘要：

In production industries, parameter identification, sensitivity analysis and multi-dimensional visualization are vital steps in the planning process for achieving relevant information for optimal design. Analysis and visualization of a multi-dimensional parameter space are foreseen 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. Typically, this requires to estimate unknown material properties and a large number of simulation runs, which can be both very expensive and time consuming. In particular, the efforts increase dramatically when the simulation models are numerically complex and the number of parameter inputs increases. Moreover, apparently comprehensive numerical models generate sparse data only due to the limited number of runs possible. This work describes the advances in model reduction and Meta-Modelling techniques applied to emulate complex physical systems, generating dense data by millions of runs within acceptable calculation time and generate continuous data suitable for multi-dimensional multi-criterial optimization, respectively. Decision making for competitive production in high-wage countries is a daily challenge where rational and irrational methods are used. 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). Different model reduction techniques are demonstrated resulting in physical models without any unnecessary complexity and fast simulations solvable with controlled error. Fast simulations are seen as the key for generating dense data suitable as input for interpolation stored in multi-dimensional Meta-Models. Implementations for laser welding, cutting sheet metal and bandgap materials as well as laser drilling of metals are presented, including the generation of Meta-Models based on mathematical model reduction. Both, model reduction and analysis of multi-dimensional parameter space are used to develop fast simulations running on smart devices, hereinafter called Customer Simulation Tools, which enable interactive communication between Discovery Finders and Invention Makers.