Universität zu Köln

Tordeux, Antoine ORCID: 0000-0001-5077-0327, Chraibi, Mohcine ORCID: 0000-0002-0999-6807, Schadschneider, Andreas and Seyfried, Armin ORCID: 0000-0001-8888-0978 (2017). Influence of the number of predecessors in interaction within acceleration-based flow models. J. Phys. A-Math. Theor., 50 (34). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

In this paper, the stability of the uniform solutions is analysed for microscopic flow models in interaction with K >= 1 predecessors. We calculate general conditions for the linear stability on the ring geometry and explore the results with particular pedestrian and car-following models based on relaxation processes. The uniform solutions are stable if the relaxation times are sufficiently small. However the stability condition strongly depends on the type of models. The analysis is focused on the relevance of the number of predecessors K in the dynamics. Unexpected non-monotonic relations between K and the stability are presented. Classes of models for which increasing the number of predecessors in interaction does not yield an improvement of the stability, or for which the stability condition converges as K increases (i.e. implicit finite interaction range) are identified. Furthermore, we point out that increasing the interaction range tends to generate characteristic wavelengths in the system when unstable.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Tordeux, Antoine UNSPECIFIED orcid.org/0000-0001-5077-0327 UNSPECIFIED Chraibi, Mohcine UNSPECIFIED orcid.org/0000-0002-0999-6807 UNSPECIFIED Schadschneider, Andreas UNSPECIFIED UNSPECIFIED UNSPECIFIED Seyfried, Armin UNSPECIFIED orcid.org/0000-0001-8888-0978 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-221479
DOI:	10.1088/1751-8121/aa7fca
Journal or Publication Title:	J. Phys. A-Math. Theor.
Volume:	50
Number:	34
Date:	2017
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1751-8121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CRUISE-CONTROL-SYSTEMS; TRAFFIC DYNAMICS; FORCE MODEL; CAR Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/22147