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