International Journal of Science and Research (IJSR)

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

ISSN: 2319-7064




Downloads: 110

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


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


Abstract: Most highways experience traffic jams as a result of various reasons and hence need for a practical solution. Traffic flow models play an important role in both today-s traffic research and in many traffic applications such as traffic flow prediction, incident detection and traffic control. In this project report, I considered the macroscopic Zhang-s second order traffic flow model. Macroscopic modeling approach is most suitable for a correct description of traffic flow. Macroscopic traffic flow variables like traffic density and average traffic velocity, which reflect the average state of the road traffic, were considered. It is the variables that define the order of any traffic flow model. The Zhang-s second-order macroscopic traffic flow model was applied to the Kisii-Kisumu highway within Kisii County. The viscous continuum traffic flow model was studied numerically using the finite difference approximation method. The flow problem was solved to show that it was stable and efficient. The graphical presentation of numerical results produced verified some well understood qualitative behavior of traffic flow. This model was tested using the Kisii-Kisumu highway and may be extended to other roads.


Keywords: Macroscopic flow, Traffic Flow, Velocity, Zhang, Traffic density


Edition: Volume 4 Issue 4, April 2015,


Pages: 3341 - 3346


How to Cite this Article?

Jared Nyaberi Bosire, Prof. Johana K. Sigey, Dr. Jeconia A. Okelo, Dr. James Okwoyo, "Zhang's Second Order Traffic Flow Model and Its Application to the Kisii-Kisumu Highway within Kisii County", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=SUB153912, Volume 4 Issue 4, April 2015, 3341 - 3346

How to Share this Article?

Enter Your Email Address


Similar Articles with Keyword 'Traffic Flow'

Downloads: 36

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

Downloads: 57

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 'Velocity'

Downloads: 0

Research Paper, Mathematics, Kenya, Volume 10 Issue 11, November 2021

Pages: 523 - 529

Analysis of Turbulent Natural Convection with Localized Heating on the Ceiling and on the Floor and Cooling on Opposite Vertical Walls in a Rectangular Enclosure

Omariba G. Ong'era, Johana K. Sigey, Jeconia A. Okelo, Stephen M. Karanja

Share this Article

Downloads: 2

Research Paper, Mathematics, Kenya, Volume 10 Issue 9, September 2021

Pages: 530 - 534

A Numerical Study of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling

Clementine Kaluki Mutua, Kennedy Awuor, Emily Nafula John

Share this Article

Similar Articles with Keyword 'Traffic density'

Downloads: 36

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

Downloads: 57

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 'Macroscopic'

Downloads: 36

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

Downloads: 57

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 'flow'

Downloads: 0

Research Paper, Mathematics, Kenya, Volume 10 Issue 11, November 2021

Pages: 523 - 529

Analysis of Turbulent Natural Convection with Localized Heating on the Ceiling and on the Floor and Cooling on Opposite Vertical Walls in a Rectangular Enclosure

Omariba G. Ong'era, Johana K. Sigey, Jeconia A. Okelo, Stephen M. Karanja

Share this Article

Downloads: 2

Research Paper, Mathematics, Kenya, Volume 10 Issue 9, September 2021

Pages: 530 - 534

A Numerical Study of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling

Clementine Kaluki Mutua, Kennedy Awuor, Emily Nafula John

Share this Article

Similar Articles with Keyword 'Traffic'

Downloads: 36

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

Downloads: 51

Research Paper, Mathematics, India, Volume 10 Issue 2, February 2021

Pages: 500 - 503

Chance Constraint Programming and PSO Techniques for a Multilevel Uncertain Transportation in Supply Chain Model

Sheikh Ahmed Hossain

Share this Article

Similar Articles with Keyword 'Flow'

Downloads: 0

Research Paper, Mathematics, Kenya, Volume 10 Issue 11, November 2021

Pages: 523 - 529

Analysis of Turbulent Natural Convection with Localized Heating on the Ceiling and on the Floor and Cooling on Opposite Vertical Walls in a Rectangular Enclosure

Omariba G. Ong'era, Johana K. Sigey, Jeconia A. Okelo, Stephen M. Karanja

Share this Article

Downloads: 2

Research Paper, Mathematics, Kenya, Volume 10 Issue 9, September 2021

Pages: 530 - 534

A Numerical Study of Turbulent Natural Convection in a Rectangular Enclosure with Localised Heating and Cooling

Clementine Kaluki Mutua, Kennedy Awuor, Emily Nafula John

Share this Article
Top