Optimaltransport för styrning av en svärm av agenter
Typ
Examensarbete för kandidatexamen
Program
Publicerad
2022
Författare
Holmberg, Linnéa
Lemann, Emelie
Sörstrand, Elias
Wärnsäter, Alfred
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
The purpose of this report is to derive and implement a solver for a multimarginal optimal
transport problem. This type of multimarginal optimal transport problem can be used to
model and calculate how a swarm of agents should be controlled in an optimal way. Interpolation,
entropic regularization and Sinkhorn iterations are used in order to do this. We applied
the solver to two different cases. In the first case, the agents started according to a certain
distribution inside a 100 × 100 grid and their goal was to evenly spread out. Furthermore, an
obstacle was placed in the model that moved through the grid for each time step. In the last
case, the algorithm was required to find an optimal way out through a maze.
Beskrivning
Ämne/nyckelord
optimal transport; matching problem; assignment problem; agents; interpolation; multimarginal; entropy regularization; Sinkhorn iterations