Mathematical optimization: key to the future of autonomous systems!

Mathematical optimization: key to the future of autonomous systems!

Professor Christian Kirches from the Technical University of Braunschweig conducts research on mathematical optimization under uncertainty. His goal is to make optimal decisions in complex systems through the development and application of mathematical models. These systems can be found, among other things, in autonomous driving, in intelligent power grids and in sustainable energy supply. TU Braunschweig reports that Mathematical optimization, as a branch of adapted mathematics, plays a key role in solving various problems in the automotive industry, energy industry and robotics.

A central aspect of Kirches' work is the optimal control of dynamic processes where human intuition often fails. Examples of applications for this include real-time decision-making, which is essential for braking and steering decisions in autonomous vehicles. The methodology ensures that even complex systems, such as traffic and power networks, can be controlled efficiently. Mathematics Wiki notes that Mathematical optimization covers wide-ranging applications, from automation technology to aerospace technology.

Projects and applications

A current project that Kirches leads is called “SCARCE” and examines optimization tasks in hierarchical network structures. The goal is to develop algorithms that can efficiently solve complex optimization problems. The collected results are not immediately implemented in practice, as research first creates the basis. Kirches sees mathematics as a decisive factor for the technological future, especially with regard to intelligent power grids and coordinated vehicle fleets.

Mathematical optimization problems typically involve an objective function and decision variables as well as additional restrictions. These are mathematically formulated as optimization models that reflect real situations. This also includes various optimization problems that can vary depending on the model class. Humboldt University of Berlin describes, that the optimized systems not only require theoretical modeling, but also require practical applications in industry.

Relevance in research

Kirches' research is closely linked to industry and covers areas such as traffic management, energy technology and medical treatment plans. Braunschweig offers optimal conditions for this type of research thanks to its close networking with engineering disciplines. Mathematical optimization highlights the importance of theory and the development of adaptations to modern problems, with advances being made in the areas of automated driving and efficient energy use.

Overall, the work in mathematical optimization shows not only the diversity of applications, but also their influence on technological development. This discipline has proven essential for solving the challenges of the modern world and offers promising perspectives in both research and application.