Kinetic model of pedestrian crowds

Kinetic model of pedestrian crowdsA Rangel-HuertaFCC BUAP

Macroscopic models

Average flow and Average activity versus densityMacroscopic FlowMacroscopic activity

Microscopic modelsSocial Force modelsMulti-agent modelsSelf-propelled particles

Social Force modelD. Helbing Phys Rev E 51, 5 1995

Microscopic encountersFree WalkingWalking with others

Social Force model equations

Video 1Multi-agent modelsA. Rangel-Huerta A. Muoz-Melndez Physica A 389 (2010)

Microscopic Pseudo-collisionsFree walking

Walking with others

A set of basic rules for solving traffic conflicts between pedestrians

Kinetic equation for MAS

Crowd flow patterns for MAS

Video 1Self-propelled modelFree walking and binary collionsPhysical collision

Boltzmann equation

Analytical solution

Simulation results

Video 1Fundamental transport diagramMicroscopic probability distribution functionMacroscopic average flow of walking

Thanks