Traffic Lights or Roundabout? Analysis Using the Modified Kinematic LWR Model

Traffic Lights or Roundabout? Analysis Using the Modified Kinematic LWR Model

Year:    2016

East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 1 : pp. 80–88

Abstract

Traffic flow is treated as a continuum governed by the kinematic LWR model and the Greenshield flux function. The model is modified to describe traffic flow on a road with traffic lights or a roundabout. Parameters introduced determine the traffic flow behaviour and queue formation, and numerical simulations based on the Godunov method are carried out. The numerical procedure is shown to converge, and produces results consistent with previous analytic results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.210815.281215a

East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 1 : pp. 80–88

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    Kinematic LWR model Riemann solutions Godunov method.

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