Microscopic and macroscopic traffic models for low- and high-density crowds
In this talk we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events.
We present two models: the first one is an microscopic (agent-based), continuous-in-space, discrete-in-time, nondifferential model, where pedestrians have finite size and are compressible to a certain extent. The model also takes into account the pushing behavior appearing at extremely high densities. The model is able to reproduce the concave/concave fundamental diagram with a "double hump" (i.e. with a second peak) which shows up when body forces come into play.
The second model is a possible macroscopic and PDE-based counterpart of the first model, devised to save computational time while preserving all the good features.
Joint work with Laura Bartoli and Simone Cacace.