Mathematical Model for Traffic Flow
About this article
DOI:
https://doi.org/10.14419/ijet.v7i4.10.26631Keywords:
Gauss-Jordan elimination, Jamiton, Phantom jam, Traffic jam.Abstract
Every year countless hours are lost in traffic jams. When the density of traffic is sufficiently high small disturbances in vehicle’s accelerations can cause phantom traffic jams. We can relate the traffic flow to mathematics and physics like that of liquids and gases. This paper presents mathematical model for phantom jams and Gauss Jordan elimination for traffic flow.
References
I.K. Adu, D.K. Boah & V. Tulasi(2014), Application of system of linear equations to traffic flow for a network of four one-way streets in Kumasi, Ghana, International Journal of Contemporary Mathematical Sciences,9 (14), 653-660.
M.R. Flynn, A.R. Kasimov, J.C. Nave, R.R. Rosales & B. Seibold (2009), Self-sustained nonlinear waves in traffic flow, Physical Re-view E, 79(5), 056113-1-056113-13.
Gauss - Jordan elimination, available online: http://www.nptel.ac.in /courses/122104018/node20.html
Mathematicians take aim at ‘Phantom’ traffic jams, available online: https://www.usnews.com/science/articles/2009/06/15/mathematicians-take-aim-at-phantom-traffic-jams
Professor uses math to solve traffic jams, available online: https://temple-news.com/professor-uses-math-solve-traffic-jams/
View more references (2)
Traffic jam mystery solved by mathematicians, available online: https://phys.org/news/2007-12-traffic-mystery-mathematicians.html
Sakthivel, A and Kavitha, T. N.(2016), A trial to solve the puzzles by modeling linear equations and using Gauss- method. Int J Recent Sci Res. 7(10), 13777-13781.