3 papers
math.OC2026
Influence of Routing and Speed Limits on Optimal Solutions in Traffic Emission Modeling
Marc-André Bach, Simone Göttlich, Alena Ulke
We investigate the influence of routing strategies and speed limit policies on optimal solutions in traffic emission models. Building on a first-order macroscopic traffic model cou…
math.OC2025
Exponential stability of finite- consensus-based optimization
Simone Göttlich, Jacob Heieck, Andreas Neuenkirch
We study the finite-agent behavior of Consensus-Based Optimization (CBO), a recent metaheuristic for the global minimization of a function, that combines drift toward a consensus e…
math.OC2024
Perturbations in PDE-constrained optimal control decay exponentially in space
Simone Göttlich, Manuel Schaller, Karl Worthmann
For linear-quadratic optimal control problems (OCPs) governed by elliptic and parabolic partial differential equations (PDEs), we investigate the impact of perturbations on optimal…