Abstract

This paper reviews several various approaches to macroscopic pedestrian modelling. It describes hydrodynamic models based on similarity of pedestrian flow with fluids and gases; first-order flow models that use fundamental diagrams and conservation equation; and a model similar to LWR vehicular traffic model, which allows non-classical shocks. At the end of the paper there is stated a comparison of described models, intended to find appropriate macroscopic model to eventually be a part of a hybrid model. The future work of the author is outlined.

Highlights

  • Pedestrian simulation has wide usage in praxis these days

  • This paper reviews several various approaches to macroscopic pedestrian modelling. It describes hydrodynamic models based on similarity of pedestrian flow with fluids and gases; first-order flow models that use fundamental diagrams and conservation equation; and a model similar to LWR vehicular traffic model, which allows non-classical shocks

  • At the end of the paper there is stated a comparison of described models, intended to find appropriate macroscopic model to eventually be a part of a hybrid model

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Summary

INTRODUCTION

Pedestrian simulation has wide usage in praxis these days. People tend to group in relatively small places. Granularity in this context means the degree of the modelling detail From this point of view models are divided into microscopic, mesoscopic and macroscopic. Mesoscopic modeling usually consist of simplification of dynamics with less data demand It combines microscopic aspects (they can deal with individual pedestrians) and macroscopic aspects, such as flow dynamics. The utilization of the model can be found in evacuation and design evaluation scenarios of airports, transportation terminals etc This tool utilizes microscopic and mesoscopic models of pedestrian movement so far. At the end of the article there is a comparison of described models This provides an information, which one of models is the most suitable for our purpose of creating a hybrid simulation model for PedSim simulation tool

HYDRODYNAMIC MODELS
HELBING’S FLUID-DYNAMIC MODEL
HUGHES’S MODEL
FIRST-ORDER FLOW MODELS
DAAMEN-HOOGENDOORN-BOVY
PHYSICAL MODELLING FRAMEWORK
COLOMBO-ROSINI MODEL
COMPARISON OF MACROSCOPIC MODELS
CONCLUSION
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