Solutions of the 2D Macroscopic Motor Vehicle Traffic Flow Model
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064

Research Paper | Mathematics | Kenya | Volume 8 Issue 12, December 2019

Solutions of the 2D Macroscopic Motor Vehicle Traffic Flow Model

Justus Kaisa Nyang'acha, Prof. Oduor Okoya, Prof. Naftal Omolo Ongati

The study developed heterogeneous motor vehicle traffic flow models focussing on two dimensional heterogeneity and multi - lane road heterogeneity aspects. It established the 2 - ensemble traffic composition formulation using vehicle heterogeneity characteristics in two dimensions. Lighthill - Whitham and Richards motor vehicle traffic model, investigated how homogeneous vehicles travels in a one dimensional, single lane road; without curvatures. The study shows that that when vehicles are few, traffic density is lower, the flux is also lower; the velocity is high as there is maximum vehicle - road interaction. As the number of vehicles increases such that many vehicles passes the fifth nodal point at a relatively high velocity and density; the flow rate is high. At maximum density called jam density, vehicles cannot move; the flux is lower. Graphical representation of the traffic flow variables with respect to the distance covered on the highway is done using MATLAB. The information obtained from the study is very useful to civil engineers, mechanical engineers, town planners, computer programmers and upcoming mathematicians not forgetting drivers and riders.

Keywords: Macroscopic, microscopic, model, dimensional, influx, efflux, REA.

Edition: Volume 8 Issue 12, December 2019

Pages: 1085 - 1090

Share this Article

How to Cite this Article?

Justus Kaisa Nyang'acha, Prof. Oduor Okoya, Prof. Naftal Omolo Ongati, "Solutions of the 2D Macroscopic Motor Vehicle Traffic Flow Model", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20202914, Volume 8 Issue 12, December 2019, 1085 - 1090

133 PDF Views | 57 PDF Downloads

Download Article PDF



Similar Articles with Keyword 'Macroscopic'

Research Paper, Mathematics, Kenya, Volume 7 Issue 6, June 2018

Pages: 1480 - 1486

Analysis of the Second Order Flow Equations Using Traffic Flow in Kisii Town

Nyang'acha Justus Kaisa; Abel Kurura Tinega

Share this Article

Research Paper, Mathematics, Kenya, Volume 8 Issue 12, December 2019

Pages: 1085 - 1090

Solutions of the 2D Macroscopic Motor Vehicle Traffic Flow Model

Justus Kaisa Nyang'acha, Prof. Oduor Okoya, Prof. Naftal Omolo Ongati

Share this Article

Research Paper, Mathematics, Kenya, Volume 4 Issue 4, April 2015

Pages: 3341 - 3346

Zhang?s Second Order Traffic Flow Model and Its Application to the Kisii-Kisumu Highway within Kisii County

Jared Nyaberi Bosire, Prof. Johana K. Sigey, Dr. Jeconia A. Okelo, Dr. James Okwoyo

Share this Article

Research Paper, Mathematics, India, Volume 7 Issue 4, April 2018

Pages: 1752 - 1758

Discrete Element Simulation of Cascading Mode of Granular Particles and their Heat Transfer in a Rotating Cylinder

Oleena S.H

Share this Article

Similar Articles with Keyword 'microscopic'

Research Paper, Mathematics, Kenya, Volume 7 Issue 6, June 2018

Pages: 1480 - 1486

Analysis of the Second Order Flow Equations Using Traffic Flow in Kisii Town

Nyang'acha Justus Kaisa; Abel Kurura Tinega

Share this Article

Research Paper, Mathematics, Kenya, Volume 8 Issue 12, December 2019

Pages: 1085 - 1090

Solutions of the 2D Macroscopic Motor Vehicle Traffic Flow Model

Justus Kaisa Nyang'acha, Prof. Oduor Okoya, Prof. Naftal Omolo Ongati

Share this Article

Similar Articles with Keyword 'model'

Research Paper, Mathematics, Nigeria, Volume 6 Issue 8, August 2017

Pages: 1893 - 1895

Integer Linear Programming Applied to Nurses Rostering Problem

A. A. Maidamisa, H. A. Odiniya

Share this Article

M.Tech / M.E / PhD Thesis, Mathematics, India, Volume 6 Issue 8, August 2017

Pages: 1453 - 1457

Bianchi Type V String Having G and Λ as a Constant in a Cosmological Model

Versha Rani

Share this Article

Research Paper, Mathematics, Nigeria, Volume 10 Issue 3, March 2021

Pages: 1752 - 1758

Stability Analysis of Hyperbolic Equilibria of the SEIR Model for COVID-19 Transmission

Uduak A. Edet

Share this Article

Research Paper, Mathematics, India, Volume 4 Issue 3, March 2015

Pages: 911 - 915

On Moderate Fuzzy Analytic Hierarchy Process Pairwise Comparison Model

G. Marimuthu, Dr. G. Ramesh

Share this Article

Research Paper, Mathematics, Kenya, Volume 7 Issue 6, June 2018

Pages: 1480 - 1486

Analysis of the Second Order Flow Equations Using Traffic Flow in Kisii Town

Nyang'acha Justus Kaisa; Abel Kurura Tinega

Share this Article

Similar Articles with Keyword 'dimensional'

M.Tech / M.E / PhD Thesis, Mathematics, India, Volume 6 Issue 8, August 2017

Pages: 1453 - 1457

Bianchi Type V String Having G and Λ as a Constant in a Cosmological Model

Versha Rani

Share this Article

Research Paper, Mathematics, Kenya, Volume 8 Issue 12, December 2019

Pages: 1085 - 1090

Solutions of the 2D Macroscopic Motor Vehicle Traffic Flow Model

Justus Kaisa Nyang'acha, Prof. Oduor Okoya, Prof. Naftal Omolo Ongati

Share this Article

Research Paper, Mathematics, India, Volume 3 Issue 8, August 2014

Pages: 1203 - 1207

Modulation and Parsevals Relation of Two Dimensional Fractional Sine Transform

V. D. Sharma, S. A. Khapre

Share this Article

Research Paper, Mathematics, India, Volume 9 Issue 9, September 2020

Pages: 1507 - 1514

Rotation of Conics and Quadric Surfaces only using Focal Points and Distance without Using Trigonometry

Ganesh R. Kandu

Share this Article

Informative Article, Mathematics, India, Volume 4 Issue 5, May 2015

Pages: 1816 - 1818

Operators on Finite Dimensional Inner Product Space

Rajpal Rajbhar, Kapil Kumar

Share this Article

Similar Articles with Keyword 'REA'

Research Paper, Mathematics, China, Volume 9 Issue 7, July 2020

Pages: 1277 - 1281

Different Numerous Systems Correspond to Different Universes: Revealing the Secret behind Nikola Tesla Code of 3, 6, 9

Tao Jia

Share this Article

Research Paper, Mathematics, India, Volume 9 Issue 2, February 2020

Pages: 687 - 690

Chromatic Number and Weak Complement of L-Fuzzy Graphs

Sreedevi V.S., Dr. Bloomy Joseph

Share this Article

M.Tech / M.E / PhD Thesis, Mathematics, India, Volume 6 Issue 8, August 2017

Pages: 1453 - 1457

Bianchi Type V String Having G and Λ as a Constant in a Cosmological Model

Versha Rani

Share this Article

Research Paper, Mathematics, Nepal, Volume 10 Issue 1, January 2021

Pages: 1616 - 1618

Analytical Solution of an Advection Dispersion Equation for the Water Pollutant Concentration

Prem Sagar Bhandari

Share this Article

Research Paper, Mathematics, Nigeria, Volume 10 Issue 3, March 2021

Pages: 1752 - 1758

Stability Analysis of Hyperbolic Equilibria of the SEIR Model for COVID-19 Transmission

Uduak A. Edet

Share this Article
Top