alexa Vehicular Traffic Flow Model with Driver Aggressiveness
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
Open Access

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Research Article

Vehicular Traffic Flow Model with Driver Aggressiveness Component in a Multilane Road

Kariuki E*, Kimathi M and Mwenda E

Marketing and Advertising, Inoorero University, Nairobi, Kenya

Corresponding Author:
Kariuki E
Marketing and Advertising
Inoorero University, Nairobi, Kenya
Tel: +254717048790
E-mail: [email protected]

Received Date: May 06, 2016; Accepted Date: June 16, 2016; Published Date: June 22, 2016

Citation: Kariuki E, Kimathi M, Mwenda E (2016) Vehicular Traffic Flow Model with Driver Aggressiveness Component in a Multilane Road. J Appl Computat Math 5:309. doi:10.4172/2168-9679.1000309

Copyright: © 2016 Kariuki E, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 

Abstract

In this study, we outline the Kerner’s 3-phase traffic flow theory, which states that traffic flow occurs in three phases and these are free flow, synchronized flow and wide moving jam phases. A macroscopic traffic flow model that is factoring driver aggressiveness is developed and its features discussed. By construction of the solution to the Riemann problem, the model is written in conservative form and solved numerically. Using the Godunov numerical method we go ahead to simulate traffic flow on a multilane road with a lane-drop bottleneck. The model is compared with the Aw-Rascle model and features of the model are shown to reproduce the features of a three phase traffic flow which the Aw-Rascle model cannot reproduce. It is also shown that the model respects aspects of traffic by responding to frontal stimuli only and it does not produce negative travel.

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