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@PHDTHESIS{Cordes:1032289,
author = {Cordes, Jakob},
title = {{C}lassification of {P}edestrian {S}treams: {F}rom
{E}mpirics to {M}odelling},
volume = {66},
school = {Köln University},
type = {Dissertation},
address = {Jülich},
publisher = {Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag},
reportid = {FZJ-2024-06128},
isbn = {978-3-95806-780-6},
series = {IAS Series},
pages = {vii, 176},
year = {2024},
note = {Dissertation, Köln University, 2024},
abstract = {Pedestrian streams are ubiquitous, but very diverse.
Classifying them is critical in practice for crowd
management but also for the organization and validation of
models. As far as an empirical classification is concerned,
a robust method is still lacking. But also in terms of a
theoretical description, a large number of models coexist
with an ill-defined range of applicability. In this thesis,
these problems are addressed in two ways. First, by studying
crowds in their one-dimensional limit, namely Single-File
motion, which allows for a better understanding of
conceptual problems in models. Second, by drawing
inspiration from fluid dynamics, where dimensionless numbers
such as the Reynolds number help to classify flows.
Single-File motion exhibits interesting collective effects,
such as stop-and-go waves, which are validation benchmarks
for any agent-based modeling approach of traffic systems. We
investigate different classes of models by examining the
influence of different parameters, including time-gap,
anticipation time, and reaction time - sometimes revealing
surprising connections between well-known modeling
approaches. Then the wide range of phenomena encountered in
crowds is organized by introducing two dimensionless numbers
rooted in psychological and biomechanical considerations:
the Intrusion number based on the preservation of personal
space and the Avoidance number based on the anticipation of
collisions. Using an extensive data set we show that these
two numbers delineate regimes in which different variables
characterize the crowd’s arrangement, namely, Euclidean
distances at low Avoidance number and times-to-collision at
low Intrusion number. Based on these results, a fairly
general perturbative expansion of the individual pedestrian
dynamics around the non-interacting state is performed.
Simulations confirm that this expansion performs well in its
expected regime of applicability. This is also relevant for
the larger class of agent-based crowd models as their
equations of motion typically depend on variants of the
Intrusion number or the Avoidance number. Simulations show
that the occurrence of the Intrusion number and Avoidance
number in these models limits their range of applicability
to specific regimes of crowd motion.},
cin = {IAS-7},
cid = {I:(DE-Juel1)IAS-7-20180321},
pnm = {5111 - Domain-Specific Simulation $\&$ Data Life Cycle Labs
(SDLs) and Research Groups (POF4-511)},
pid = {G:(DE-HGF)POF4-5111},
typ = {PUB:(DE-HGF)3 / PUB:(DE-HGF)11},
doi = {10.34734/FZJ-2024-06128},
url = {https://juser.fz-juelich.de/record/1032289},
}