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International Journal of Mathematical Research

June 2014, Volume 3, 3, pp 25-36

On Mathematical Model for the Study of Traffic Flow on the High Ways

Sunday Emmanuel Fadugba


Joseph Temitayo Okunlola


Adedoyin Olayinka Ajayi


Olaronke Helen Edogbanya

Sunday Emmanuel Fadugba 1 Joseph Temitayo Okunlola 2
Adedoyin Olayinka Ajayi 1 Olaronke Helen Edogbanya 4

  1. Department of Mathematical Sciences, Ekiti State University, Ado Ekiti, Nigeria 1

  2. Department of Mathematical and Physical sciences, Afe Babalola University, Ado Ekiti, Nigeria 2

  3. Department of Mathematics, Federal University of Lokoja, Kogi State, Nigeria 4


This paper presents mathematical model for the study of traffic flow on the highways.  The effect of the density of cars on the overall interactions of the vehicles along a given distance of the road was investigated. We also observed that the density of cars per mile affects the net rate of interaction between them.
Contribution/ Originality
This study uses new estimation methodology to determine the effect of the density of cars on the overall inSteractions of the vehicles along a given distance of the road.



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  9. P. I. Richards, "Shock waves on the highway," Operations Research, vol. 4, pp. 42-51, 1956.
  10. H. G. Nathan, J. M. Carroll, and K. R. Ajay, Monograph on traffic flow theory; US department of transportation vol. 62: Federal Highway Administration Pub, 1997.
  11. W. R. Reilly, C. C. Gardner, and J. H. Kell, "A technique for measurement of delay at intersections," FHWA Report RD-76-135/137, FHWA, U.S. Department of Transportation, Washington, D.C.1976.
  12. Transportation Research Board, "Providing a highway system with reliable travel times," Future Strategic Highway Research Plan Area 3. Available, 2003.


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