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On-ramp simulations and solitary waves of a car-following model.

Authors
  • Berg, P
  • Woods, A
Type
Published Article
Journal
Physical Review E
Publisher
American Physical Society (APS)
Publication Date
Sep 01, 2001
Volume
64
Issue
3 Pt 2
Pages
35602–35602
Identifiers
PMID: 11580387
Source
Medline
License
Unknown

Abstract

An on-ramp simulation of a car-following model reveals qualitatively similar results to previous simulations of continuum models carried out by Helbing et al. [Phys. Rev. Lett. 82, 4360 (1999)] and by Lee, Lee, and Kim[Phys. Rev. E 59, 5101 (1999)]. Here, we discuss the solitary solution type in greater detail. It can be approximated by a Kortweg-de Vries equation derived from the analogous continuum version. Hence, this establishes a further link between these two traffic simulation types and supports the idea that models of either kind lead to similar results when they contain a relaxation term.

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