Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Tordeux, Antoine UNSPECIFIED orcid.org/0000-0001-5077-0327 UNSPECIFIED Schadschneider, Andreas UNSPECIFIED orcid.org/0000-0002-2054-7973 UNSPECIFIED
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:	Keywords Language CELLULAR-AUTOMATA; METASTABLE STATES; DYNAMICS; DELAY Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/27585