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Equivalence of linear response among extended optimal velocity models
Katsuya Hasebe1, Akihiro Nakayama, Yūki Sugiyama
1Faculty of Business Administration, Aichi University, Miyoshi, Aichi 470-0296, Japan. hasebe@vega.aichi-u.ac.jp
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.