Tordeux, Antoine ORCID: 0000-0001-5077-0327 and Schadschneider, Andreas ORCID: 0000-0002-2054-7973 (2016). White and relaxed noises in optimal velocity models for pedestrian flow with stop-and-go waves. J. Phys. A-Math. Theor., 49 (18). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

A class of microscopic stochastic models is proposed to describe 1D pedestrian trajectories obtained in laboratory experiments. The class contains continuous first-order models that are based on statistically calibrated optimal velocity functions. More specifically, we consider a model with an additive white noise and another one where the noise is determined by the inertial Ornstein-Uhlenbeck process. Simulation results show that both stochastic models give a good description of the characteristic relation between speed and spacing (fundamental diagram) and its variability. However, only the inertial noise model can reproduce the observed stop-and-go waves, bimodal speed distributions, and non-zero speed or spacing autocorrelations. This allows us to identify minimal microscopic stochastic mechanisms for the emergence of stable traffic waves.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Tordeux, AntoineUNSPECIFIEDorcid.org/0000-0001-5077-0327UNSPECIFIED
Schadschneider, AndreasUNSPECIFIEDorcid.org/0000-0002-2054-7973UNSPECIFIED
URN: urn:nbn:de:hbz:38-275850
DOI: 10.1088/1751-8113/49/18/185101
Journal or Publication Title: J. Phys. A-Math. Theor.
Volume: 49
Number: 18
Date: 2016
Publisher: IOP PUBLISHING LTD
Place of Publication: BRISTOL
ISSN: 1751-8121
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
CELLULAR-AUTOMATA; METASTABLE STATES; DYNAMICS; DELAYMultiple languages
Physics, Multidisciplinary; Physics, MathematicalMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/27585

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