In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-inspace, 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 extreme high densities. The main novelty is that pedestrians/obstacles/walls are not assumed to generate any kind of "field" which determines the behavior of the crowd. Instead, the behavior of pedestrians solely relies on the evaluation of interpersonal distances, and decisions are made only on the basis of what the subject can see from its point of view. 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. We present several numerical tests (some of them being inspired by the recent ISO 20414 standard), which show how the model can reproduce classical self-organizing patterns.
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