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Use optimal control theory to simulate the dynamics of crowds. Set up a room, initialise agents and their targets. The solution of a Hamilton-Jacobi-Bellman equation provides the optimal trajectories towards the goals, while the actual motion is simulated using an accurate social force model.
We use Deep Galerking Method (DGM) to solve the Non-Linear Schrödinger Formulation (NLSF) of a Mean-Field Game describing the passage of a cylindrical intruder through a dense crowd.