Optimization and simulation tasks arise in industrial practice in a variety of ways. Whether in the careful handling of resources, in the optimization of physical properties in design, in the utilization of production facilities or in the planning of transport routes and supplies – methods of mathematical optimization and discrete simulation help to make entrepreneurial decisions, improve processes and save costs. Due to increasing demands on the quality of innovative products, computer simulations are becoming increasingly important for industry. They accelerate the development of new designs and help to optimize processes. Simulation reduces development time, replaces “real” experiments and enables the design of better prototypes at lower costs.
The core of our research work is to develop efficient numerical methods for solving high-dimensional problems. For example, we create methods that allow large amounts of data to be predicted in a relatively short time. This makes them ideal for customers with applications that require rapid analysis and processing of large amounts of data and where conventional non-linear methods are too slow. Based on dimension reduction methods, we develop software solutions that allow engineers to easily and interactively analyze large amounts of data from virtual product development or monitoring. These analysis methods make it possible for engineers to make decisions more quickly on the basis of the database. The Fraunhofer IUK Group is developing new approaches that help to shorten the computing times of simulations while maintaining the same high level of detail in the modelling and high resolution of the result data.