481 citations
3 papers
patt-sol1998
The exact solutions of differential equation with delay
K. Hasebe, A. Nakayama, Y. Sugiyama
The exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveli…
patt-sol1998★ 481 cited
Analysis of Optimal Velocity Model with Explicit Delay
Masako Bando, Katsuya Hasebe, Ken Nakanishi +1
We analyze Optimal Velocity Model (OVM) with explicit delay. The properties of congestion and the delay time of car motion are investigated by analytical and numerical methods. It…
patt-sol1996★ 5 cited
Delay of Vehicle Motion in Traffic Dynamics
Masako Bando, Katsuya Hasebe, Ken Nakanishi +1
We demonstrate that in Optimal Velocity Model (OVM) delay times of vehicles coming from the dynamical equation of motion of OVM almost explain the order of delay times observed in…