Crowds in Equations

An Introduction to the Microscopic Modeling of Crowds

By: Bertrand Maury, Sylvain Faure

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eText | 11 July 2018

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The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties both from a theoretical and practical standpoint. It aims to develop 'modeling skills' within the readers, giving them the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project also enables readers to run the simulations discussed within the text.

Contents:

Foreword
Introduction
One-Dimensional Microscopic Models
Social Force Model, Native and Overdamped Forms
Granular Models
Cellular Automata
Compartment Models
Toward Macroscopic Models
Computing Distance and Desired Velocities
Data, Observable Phenomena
A Wider Look on Characteristic Phenomena in Crowds
Appendices:
- Ordinary Differential Equations
- Constrained Optimization
Bibliography
Index

Readership: Students or researchers interested in crowd motion modeling.
Crowd;Microscopic Models;Mathematical Modelling;Simulation;Ordinary Differential Equations;Evacuation0Key Features:

This book has been written in connection with a software development project: the authors of the book have developed a full Python Library (called Cromosim) which will be released shortly
The open source project will make it possible to readers to run the simulations described on the book, to test new configurations, and even to investigate the possibility to improve the basic models ("do-it yourself" feature)