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This project provides a mathematical and numerical analysis of road traffic from a microscopic perspective, aiming to explore the individual dynamics of vehicles as well as traffic jams.

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ViRoLam/Modelisation_traffic_routier

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Microscopic Road Traffic Modelling

Welcome to the Microscopic Road Traffic Analysis project that is part of my Bachelor's degree studies. This project provides a mathematical and numerical analysis of road traffic from a microscopic perspective, aiming to explore the individual dynamics of vehicles.

It also incorporates traffic jams, reaction time, variable speed for cars, and explores the limits of the model.

You can find everything you need in the jupyter notebook file !

Table of Contents

  • Introduction
  • Project Structure
  • Snippets
  • Acknowledgements

Introduction

The project incorporates a comprehensive Jupyter notebook that outlines the mathematical basis of the traffic model, numerical modelisation techniques, and insightful findings derived from the analysis. By focusing on the microscopic aspects of traffic based on the Intelligent driver model, we strive to reveal detailed interactions and behaviors.

Project Structure

The project is presented in a jupyter notebook written in French.

  1. Mathematical Modelling (Modélisation mathématique)
  2. Numerical Modelling (Modélisation numérique)
    • 2.1 Example 1: Generic (Exemple 1: générique)
    • 2.2 Example 2: Gaussian Speed for the First Car (Exemple 2: vitesse gaussienne pour la première voiture
    • 2.3 Example 3: Red Light (Exemple 3: feu rouge)
    • 2.4 Example 4: Multiple Red Lights (Exemple 4: Plusieurs feux rouges)
    • 2.5 Traffic Jams (Les bouchons)
    • 2.6 Model Limitations (Les limites du modèle)
  3. Time-Step Adjustment (Ajustement du pas de temps)
  4. Addition of Reaction Time (Ajout d'un temps de réaction)
  5. Conclusion (Conclusion)

Snippets

Modelisation of car behaviour when the first car has gaussian speed.

Modelling traffic jams.

Exploring the limits of the model.

Acknowledgements

This project wouldn't have been possible without the contributions and guidance of Mathias Bichon, my project partner, and Professor Benjamin Graille.


Should you have any queries or require further clarification on any aspect of the project, feel free to raise an issue on GitHub.

I hope you find the project as enlightening and informative as I did during its creation :)

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This project provides a mathematical and numerical analysis of road traffic from a microscopic perspective, aiming to explore the individual dynamics of vehicles as well as traffic jams.

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