Premium
Interacting Particles and Optimization
Author(s) -
Pinnau René,
Totzeck Claudia
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800182
Subject(s) - herding , connection (principal bundle) , mathematical optimization , optimization problem , computer science , particle system , particle (ecology) , control (management) , state (computer science) , control theory (sociology) , mathematics , artificial intelligence , algorithm , geography , biology , geometry , ecology , forestry , operating system
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.