Hysteretic Cell Transmission Model

Author

Alvarez-Icaza, Luis ; Islas, Genaro J.

Author_Institution

Inst. de Ing., Univ. Nac. Autonoma de Mexico, Mexico City, Mexico

fYear

2013

fDate

6-9 Oct. 2013

Firstpage

578

Lastpage

583

Abstract

A new macroscopic model for traffic in freeways, the Hysteretic Cell Transmission Model (HCTM), is presented. The model is based on the Cell Transmission Model (CTM) and incorporates a feature to reproduce the capacity drop phenomenon observed in real traffic. An auxiliary dynamic state is included that induces hysteretic behavior on the density-flow relationship. The hysteresis is dependent on the time derivative of the density in a particular cell and allows to change the congested flow traffic wave velocity in the fundamental diagram and, with this, to produce a capacity drop. A Lyapunov stability analysis for a stretch of highway is presented that is compared with a similar analysis for the CTM. Simulation results show that the capacity of a congested stretch of highway is reduced when its vehicular density is decreasing.

Keywords

Lyapunov methods; road traffic; stability; HCTM; Lyapunov stability analysis; auxiliary dynamic state; capacity drop; capacity drop phenomenon; congested flow traffic wave velocity; density-flow relationship; freeways; fundamental diagram; hysteretic behavior; hysteretic cell transmission model; macroscopic traffic model; vehicular density; Friction; Hysteresis; Mathematical model; Roads; Vehicle dynamics; Vehicles; capacity drop; macroscopic traffic flow modeling; traffic hysteresis;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Transportation Systems - (ITSC), 2013 16th International IEEE Conference on

Conference_Location

The Hague

Type

conf

DOI

10.1109/ITSC.2013.6728293

Filename

6728293