Open Access Journal

ISSN : 2456-1304 (Online)

International Journal of Engineering Research in Electronics and Communication Engineering(IJERECE)

Monthly Journal for Electronics and Communication Engineering

Open Access Journal

International Journal of Science Engineering and Management (IJSEM)

Monthly Journal for Science Engineering and Management
Call For Paper : Vol 11, Issue 08, August 2024

ISSN : 2456-1304 (Online)

Call for Paper

Vol 11, Issue 08, August 2024

Indexing

Mathematical Modelling Of Traffic Flow on Highway

Author : Venkatesha P 1 Ajith.M 2 Abhijith Patil 3 Dhamini.T 4

PDF

Date of Publication :15th November 2017

Abstract: This paper intends a mathematical model for the study of traffic flow on the highways. This paper develops a discrete velocity mathematical model in spatially homogeneous conditions for vehicular traffic along a multilane road. The effect of 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. A mathematical macroscopic traffic flow model known as light hill, Whitham and Richards (LWR) model appended with a closure non-linear velocity-density relationship yielding a quasi-linear first order (hyperbolic) partial differential equation as an initial boundary value problem (IBVP) was considered. The traffic model IBVP is a finite difference method which leads to a first order explicit upwind by difference scheme was discretized

Reference :

    1. https://www.researchgate.net/publication/408687 59_Mathematical_modelling_of_network_traffic _flow
    2. https://math.stackexchange.com/questions/22620 03/traffic-flow-modelling-highway-entrance-cas
    3. https://math.mit.edu/projects/traffic/
    4.  http://www.maths.lth.se/compmod/exjobb_CPerl man2008.pdf

    1. J. Li, Y. Kuang, C. Mason, Modelling the glucoseinsulin regulatory system and ultradian insulin secretory oscillations with two-time delays, submitted for publication. 
    2.  J. Li, Y. Kuang, B. Li, Analysis of IVGTT glucoseinsulin interaction models with time delay, Discrete Contin. Dyn. Syst. Ser. B 1 (1) (2001) 103–124.
    3. L.W. Maki, J. Keizer, Mathematical analysis of a proposed mechanism for oscillatory insulin secretion in perifused HIT-15 cells, Bull. Math. Biol. 57 (1995) 569–591.
    4. Mari, Mathematical modeling in glucose metabolism and insulin secretion, Curr. Opin. Clin. Nutr. Metab. Care 5 (2002) 495–501.
    5. Mukhopadhyay, A. De Gaetano, O. Arino, Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model, Discrete Contin. Dyn. Syst. Ser. B 4 (2) (2004) 407–417.
    6.  G. Nucci, C. Cobelli, Models of subcutaneous insulin kinetics. A critical review, Comput. Methods Programs Biomedicine 62 (2000) 249–257.

Recent Article