Interacting Particles and Optimization
René Pinnau, Claudia Totzeck · PAMM · 2018
Abstract We shed some light on the connection of dogs herding sheep and the optimization of interacting particle systems. Main goal is the control of a large crowd of individuals by a few external agents. This yields a high dimensional constrained optimization problem, which is solved by an instantaneous control approach applied to the mean‐field approximation of the state system.