The focus: Prof. Végh and the future of optimization!

The focus: Prof. Végh and the future of optimization!

On May 8, 2025, the University of Bonn took a significant step in the field of mathematical optimization. In a symposium that included the inaugural lecture by Prof. László Végh, the focus was on the topic "The discrete and continuous sides of linear optimization". Modern digital applications require increasingly demanding arithmetic procedures that have been significantly improved in recent decades, as well as wikipedia Shows.

Prof. Végh, a passionate mathematician, has dealt with optimization problems since childhood. Research in this area aims at the development of strongly polynomial algorithms. These could significantly reduce the computing time based on the number of variables and additional conditions. According to the information from Uni Bonn , however, the theoretical challenges in the solution of such problems are still not completely solved.

linear optimization in focus

The linear optimization, which was developed in the 1940s, has established itself as a central mathematical model. It is used in numerous areas, including transport, order and personnel operations planning. The structural elements of a linear optimization model include a target function and restrictions that are linear functions of the decision-making variables, such as wi-ex explained.

For example, a linear programming model could be used to maximize or minimize costs under certain restrictions. These models are often used in mixed-grant-colored optimization as sub-problems. One central point is that the optimal solution of an LP model is at a corner point of the permissible area.

progress and challenges

The challenges of theoretical complexity in the optimization remain, even if there are already efficient solution procedures. One of the best-known methods is the Simplex method, which was developed by George B. Dantzig in 1947. Advances in the software and hardware have significantly improved the solution speed of LP models. For example, a modern LP model, which previously took 612 seconds, only needs 0.6 seconds for the solution, as with wi-lex .

Prof. László Végh and the participants of the symposium talked about innovative approaches at the interface of mathematics, computer science, game theory and economics. The transdisciplinary research area (TRA) Modeling at the University of Bonn, under the direction of Prof. Dr. Alexander Efffland and Prof. Dr. Jürgen Gall, indicates the importance of interdisciplinary links to further expand the area and to promote future projects.

The progress that has been made in recent years indicates that mathematical optimization continues to play a central role in various areas, including the energy industry, the automotive industry and healthcare. This remains an exciting and vital field of research for scientists and practitioners alike.