University of Twente Student Theses


Crowd Modelling: Simulating the Evacuation of Pedestrians

Mc Inerney, Oisin (2023) Crowd Modelling: Simulating the Evacuation of Pedestrians.

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Abstract:The title 'Crowd Modelling: Simulating the Evacuation of Pedestrians' pretty much summarizes the essence of the report. The goal of this report is to make a dynamic crowd model that does not produce "bouncing" effects like. Each individual in the crowd has to abide by three rules: do not get too close to your neighbours, keep a distance from objects and walls and walk a regular pace towards the exit. In the model this translates to accelerations that guide people. It is assumed that these accelerations can be summed to obtain the total acceleration. The motion is described by differential equations. The inspiration for this paper is the Buckingham $\pi$-theorem. The acceleration can be expressed as a differential equation of velocity and position. The most important result of this paper is that with dimensional analysis using the Buckingham pi-theorem produces a realistic model, but it has its limitations. Further research will mainly focus on flow time (time it takes for everyone to reach the exit). How do different floor plan designs affect the flow time of the simulation? It can seen that the width of the door influences the flow time. Also adding an extra exit decreases the flow time. However, adding an obstacle in front of the exit to create two separate queues for the exit, does not seem to influence the flow time at first, but after changing some parameters it does improve the flow time.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics BSc (56965)
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