Utilizing Modern Methods of Discrete Geometry for Solving Selected Problems in Operations Research, Data Analysis and Game Theory

The project aims at development, improvement and application of methods for solving problems
in operations research, data analysis and game theory, with an emphasis on assessment of
guaranteed properties of the methods. Most of the research is unified by, but not limited to, a
common methodology: an enumerative or decompositional approach to breaking down complex
problems into smaller, tractable ones. The core of the project is built on concrete ideas, which the applicants consider promising to work on. Algorithms developed in the project are usable in a variety of problems of operations research and data analysis. The project will focus on e.g.
absolute value equations, agent dispersion in space, network flows with interval data, and competitive facility location.