Tesis profesional presentada por Silvia Andrea Morales Manzano [silmor1999@gmail.com]

Miembro del Programa de Honores. Licenciatura en Física. Departamento de Actuaría, Física y Matemáticas. Escuela de Ciencias, Universidad de las Américas Puebla.

Jurado Calificador

Director: Dr. Miguel Ángel Ocaña Bribiesca
Presidente: Dra. Milagros Zeballos Rebaza
Secretario: Dr. Noureddine Lakouari

Cholula, Puebla, México a 5 de diciembre de 2022.


A new floor field cellular automaton model for pedestrian evacuation dynamics is presented. This model, based on Kirchner et al. FFCA (2002), adds heterogenous pedestrian population by dividing the initial pedestrian population of a room into two groups with different sensitivity parameters to the static and dynamic floor field. The inspiration of this model comes from the fact that pedestrians will follow a general zone of high flow, but there will be several individuals who will be more aware of their surrounding than others. This thesis? implementation of heterogeneous pedestrian population focuses on two pedestrian groups following the same global dynamic and static floor fields albeit coupled to them with different sensitivity parameter pairs. The group?s sensitivity parameters are based on the evacuation regimes, Ordered, Disordered, and Optimal. We evaluate the average of the evacuation times of a 63 x 63 cells room with initial group configurations in order to study the evacuation process of different pedestrian populations by the means of the sensitivity parameters. It is concluded that groups with higher values of kDi will not add useful information to an evacuation dynamic by being more prone to follow the regions of higher flow, but will slow average evacuation processes. Finally, a new work flow is proposed, in which further contributions to the field of pedestrian dynamics is ought to be open-source and documented.

KeyWords: Pedestrian Dynamics, Cellular Automata, Floor Fields.

Table of content



Capítulo 1. Introduction

Capítulo 2. Simulation of Pedestrian Dynamics

  • 2.1 Proposed Models

Capítulo 3. Floor Field Cellular Automata Pedestrian Model

  • 3.1 Generalities of Cellular Automata
  • 3.2 Basic Principles of the Model
  • 3.3 Definition of Floor Fields
  • 3.4 Transition Probability
  • 3.5 Update Rules

Capítulo 4. Features of the Model

  • 4.1 Pedestrian Behavior
  • 4.2 Impact of Sensitivity Parameters on Evacuation Times
  • 4.3 Studying the Effect of α and δ in Evacuation Times
  • 4.4 Definition of Regimes

Capítulo 5. Proposed Model for Grouped Sensitivity Parameters

  • 5.1 Results for the Proposed Model

Capítulo 6. Project Repository

Capítulo 7. Conclusion and FutureWork Recommendations


Apéndice A. Construction of the Static Floor Field

Apéndice B. Details on the Decay and Diffusion of the Dynamic Floor Field

Apéndice C. On the Probabilistic Methods used for Decision Making

Apéndice D. Extra Figures

Morales Manzano, S. A. 2022. Impact of Group Sensitivity Parameters in a Cellular Automata Model for Pedestrian Evacuation Processes. Tesis Licenciatura. Física. Departamento de Actuaría, Física y Matemáticas, Escuela de Ciencias, Universidad de las Américas Puebla. Diciembre. Derechos Reservados © 2022.