Crowds In Equations : An Introduction To The Microscopic Modeling Of Crowds

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