Title

THE ONSET OF TRAFFIC PHASES IN HIGHWAYS:
A TWO VEHICLE-CLASS MACROSCOPIC MODEL

Authors

A.R. Méndez, R.M. Velasco
Departamento de Matemáticas Aplicadas y Sistemas
Universidad Autonoma Metropolitana
Cuajimalpa, MEXICO
Departamento de Física
Universidad Autonoma Metropolitana
Iztapalapa, MEXICO

Abstract

The over-acceleration and adaptation effects in a two vehicle-class mixture of aggressive drivers is studied. A first order model for each vehicle-class is constructed through a kinetic model equation and an iterative procedure. The constructed model is numerically solved with different parameters and under several initial conditions. Numerical results show the onset of the Kerner's phase and suggest that besides the drivers' aggressivity, the most relevant aspect in the adaptation process is the existence of a more numerous vehicle-class.

History

Received: September 30, 2016
Revised: December 25, 2016
Published: February 9, 2017

AMS Classification, Key Words

AMS Subject Classification: 82D05
Key Words and Phrases: traffic flow model, mathematical modelling, kinetic theory

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How to Cite?

DOI: 10.12732/ijpam.v112i3.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 3
Pages: 531 - 556

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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