Advanced mobility concepts focus on integrating sustainable transport modes like trains, electric vehicles, or shared bikes for seamless, efficient journeys. E-mobility and shared transport options reduce environmental impacts and urban congestion. Autonomous fleets promise safer, streamlined commutes. Importantly, equitable transportation ensures accessibility for all user groups. All these aspects demand robust models, methods, and solutions capable of handling uncertainty and the human element, that is, the interaction of individual users exhibiting selfish behavior and making their own decisions. The vision of AA Mobility is to develop the necessary mathematical models, tools, and methods to enhance and contribute to advanced mobility and related network applications. In articular, cutting-edge network and discrete optimization methods, efficient algorithms, and related areas constitute the mathematical core of AA Mobility.
Previous denominations: Networks (2019-2022), Next Generation Networks (2023-2025)
Scientists in Charge: Ralf Borndörfer, Kai Nagel, Martin Skutella
- AA3-15: Convex Solver Adaptivity for Mixed-Integer Optimization
Mathieu Besançon, Ralf Borndörfer, Sebastian Pokutta - AA3-17: Efficient Algorithms for Quickest Transshipment Problems
Martin Skutella - AA3-19: The Value of Distributional Information
Franziska Eberle - AA-Mobil-1: Solution techniques for Mixed-Integer Nonconvex Optimization
Mathieu Besançon, Sebastian Pokutta - AA-Mobil-2: Unsplittable Flows
Martin Skutella, Philipp Warode - AA-Mobil-3: Dynamic Traffic Equilibria in Network Games and Simulation
Kai Nagel, Martin Skutella
- AA3-15: Convex Solver Adaptivity for Mixed-Integer Optimization
- AA3-1: Proximity of LP and IP Solutions
Martin Henk - AA3-2: Nash Flows over Time in Transport and Evacuation Simulation
Kai Nagel, Martin Skutella - AA3-3: Discrete-Continuous Shortest Path Problems in Flight Planning
Ralf Borndörfer, Martin Weiser - AA3-4: Flow-Preserving Graph Contractions with Applications to Logistics Networks
Max Klimm, Torsten Mütze, Guillaume Sagnol, Martin Skutella - AA3-5: Tropical Mechanism Design
Michael Joswig, Max Klimm - AA3-6: Stochastic Scheduling with Restricted Adaptivity
Ralf Borndörfer, Guillaume Sagnol - AA3-7: Beyond the Worst-Case: Data-Dependent Rates in Learning and Optimization
Sebastian Pokutta - AA3-8: The Tropical Geometry of Periodic Timetables
Ralf Borndörfer, Niels Lindner - AA3-9: Information Design for Bayesian Networks
Max Klimm - AA3-10*: Tropical Grassmannians and Scattering Amplitudes
Michael Joswig - AA3-11*: Flux Cones of Metabolic Networks
Alexander Bockmayr, Martin Henk - AA3-12: On the Expressivity of Neural Networks
Christian Haase, Martin Skutella - AA3-13: Placing Steiner Points in Constrained Tetrahedrelizations
Marc Alexa, Hang Si - AA3-14: The Structure within Disordered Cellular Materials
Myfanwy Evans, Francisco Garcia-Moreno, Frank Lutz, John Sullivan - AA3-16: Likelihood Geometry of Max-Linear Bayesian Networks
Carlos Enrique Améndola Cerón - AA3-18: Evolution Processes for Populations and Economic Agents
Max Klimm, Maite Wilke Berenguer
- AA3-1: Proximity of LP and IP Solutions
Projects marked with an asterisk (*) were short-term one-year pilot projects.