8410 2021 eng masterthesis 0 -- -- -- We propose a tropical interpretation of the solution space of the Periodic Event Scheduling Problem as a collection of polytropes, making use of the characterization of tropical cones as weighted digraph polyhedra. General and geometric properties of the polytropal collection are inspected and understood in connection with the combinatorial properties of the underlying periodic event scheduling instance. Novel algorithmic ideas are presented and tested, making use of the aforementioned theoretical results to solve and optimize the problem. publish false true Ralf Borndörfer Enrico Bortoletto Niels Lindner Niels Lindner Computer Applications OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING MODAL-Gesamt Bortoletto, Enrico Network Optimization MODAL-MobilityLab Freie Universität Berlin