Dynamical model of traffic congestion and numerical simulation

M. Bando; K. Hasebe; A. Nakayama; A. Shibata; Y. Sugiyama

doi:10.1103/PhysRevE.51.1035

Dynamical model of traffic congestion and numerical simulation

M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama

Phys. Rev. E 51, 1035 – Published 1 February 1995

An article within the collection: PRE Milestones

Abstract

We present a dynamical model of traffic congestion based on the equation of motion of each vehicle. In this model, the legal velocity function is introduced, which is a function of the headway of the preceding vehicle. We investigate this model with both analytic and numerical methods. The stability of traffic flow is analyzed, and the evolution of traffic congestion is observed with the development of time.

Received 7 February 1994

DOI:https://doi.org/10.1103/PhysRevE.51.1035

Collections

This article appears in the following collection:

PRE Milestones

Physical Review E published its 50,000th paper in September 2015. To celebrate this, the journal presents a series of milestone papers that were published since its inception in 1993. This is an eclectic collection of papers that made significant contributions to their field, chosen by the editors. A new milestone will be added each week.