International Journal of Science , Engineering and Management (IJSEM)

Monthly Journal for Science , Engineering and Management

Volume2,November 2017,

Topic : Mathematical Modelling Of Traffic Flow on Highway

Authors:Venkatesha P || Ajith.M, Abhijith Patil, Dhamini.T

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..

Keywords: Mathematical modeling, traffic flow, Homogeneous conditions, Multilane road, Velocity-density, Quasi-linear first order (hyperbolic) partial differential equation, Finite difference method

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DOI: 01.1617/vol4/iss11/pid58236

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Editor Image

Dr.Muhammad Ishtiaq,
Mirpur University of
Science & Technology,
Mirpur, Azad Kasmir.

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ISSN(Online): 2456-1304

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Thomson Reuters ID : q-6288-2016.
ORCiD Research ID : 0000-0001-9540-6799

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Journal Code : IJSEM
Electronic ISSN : 2456-1304
Impact Factor : 2.7
Frequency : Monthly
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