Cellular Automata Based Model for Pedestrian Dynamics

TL;DR

This paper introduces a two-dimensional Cellular Automata model to simulate complex pedestrian behaviors such as lane formation, jams, and egress, supported by analytical and numerical solutions.

Contribution

The paper presents a novel Cellular Automata based model that captures diverse pedestrian flow phenomena and provides both mean-field and numerical solutions.

Findings

Successfully models lane formation and jams in pedestrian flow

Provides analytical and numerical solutions for different densities

Demonstrates potential to describe additional flow phenomena

Abstract

We construct a two dimensional Cellular Automata based model for the description of pedestrian dynamics. Wide range of complicated pattern formation phenomena in pedestrian dynamics are described in the model, e.g. lane formation, jams in a counterflow and egress behavior. Mean-field solution of the densely populated case and numerical solution of the sparsely populated case are provided. This model has the potential to describe more flow phenomena.