Phys. Rev. E 69, 017103 (2004) - Equivalence of linear response among extended optimal velocity models

Equivalence of linear response among extended optimal velocity models

Katsuya Hasebe, Akihiro Nakayama, and Yūki Sugiyama

Phys. Rev. E 69, 017103 – Published 26 January 2004

Abstract

We investigate the property of extended optimal velocity (OV) models of traffic flow, in which a driver looks at arbitrary number of vehicles that precede. We prove an equivalence of linear response among extended models. This equivalence provides a natural understanding of the improvement of the stability of traffic flow.

Received 11 July 2003

DOI:https://doi.org/10.1103/PhysRevE.69.017103

©2004 American Physical Society

Authors & Affiliations

Katsuya Hasebe^*

Faculty of Business Administration, Aichi University, Miyoshi, Aichi 470-0296, Japan

Akihiro Nakayama^†

Gifu Keizai University, Ohgaki, Gifu 503-8550, Japan

Yūki Sugiyama^‡

Department of Complex Systems Science, Graduate School of Information Science, Nagoya University Nagoya, 464-8601, Japan

^*Email address: hasebe@vega.aichi-u.ac.jp
^†Email address: g44153g@cc.nagoya-u.ac.jp
^‡Email address: genbey@eken.phys.nagoya-u.ac.jp

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Vol. 69, Iss. 1 — January 2004

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