PEDESTRIAN FLOW MODELS WITH SLOWDOWN INTERACTIONS

Pedestrian Flow Models with Slowdown Interactions

In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stochastic cellular automata model with explicit rules for pedestrians moving in two opposite directions. Coarse-grained mesoscopic and macroscopic analogs are derived leading to the coupled system of PDEs for the density...

Numerical Analysis and Scientific Computing Preprint Seria Pedestrian Flow Models with Slowdown Interactions

Simulation of Pedestrian Dynamics with Macroscopic and Microscopic Mathematical Models

Here, we collect two parts of a research project on the pedestrian flow modeling. Rapid growth in the volume of public transport and the need for its reasonable, efficient planning have made the description and modeling of transport and pedestrian behaviors as important research topics in the past twenty years. First, we present a macroscopic model for the pedestrian flow based on continuum mec...

A generic and hybrid approach for pedestrian dynamics to couple cellular automata with network flow models

Large pedestrian dynamics scenarios are difficult to simulate by models with high spatial resolution in reasonable time, due to high computational costs. Possible solutions are hybrid approaches, which combine models of different spatial scales. On the macroscopic scale, network flow models are used to model pedestrian dynamics. These models reduce the scenario to a simple network of nodes and ...

Models for Pedestrian Behavior

The actual pedestrian movement starts and ends at special city entry points like bus stops, parking lots or metro stations. It is guided by the pedestrian intentions, but is subject to deceleration processes and avoidance maneuvers due to obstacles or pedestrians who are in the way. As a consequence, the pedestrians have to speed up in the course of time in order to reach the next destination w...