Volume 6, Issue 1
Traffic Lights or Roundabout? Analysis using the Modified Kinematic LWR Model

S. R. Pudjaprasetya, J. Bunawan & C. Novtiar

East Asian J. Appl. Math., 6 (2016), pp. 80-88.

Published online: 2018-02

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  • 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.

  • Keywords

Kinematic LWR model, Riemann solutions, Godunov method.

  • AMS Subject Headings

65M08, 76M12, 35L65

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-6-80, author = {}, title = {Traffic Lights or Roundabout? Analysis using the Modified Kinematic LWR Model}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {6}, number = {1}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.210815.281215a}, url = {http://global-sci.org/intro/article_detail/eajam/10774.html} }
TY - JOUR T1 - Traffic Lights or Roundabout? Analysis using the Modified Kinematic LWR Model JO - East Asian Journal on Applied Mathematics VL - 1 SP - 80 EP - 88 PY - 2018 DA - 2018/02 SN - 6 DO - http://doi.org/10.4208/eajam.210815.281215a UR - https://global-sci.org/intro/article_detail/eajam/10774.html KW - Kinematic LWR model, Riemann solutions, Godunov method. AB -

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.

S. R. Pudjaprasetya, J. Bunawan & C. Novtiar. (2020). Traffic Lights or Roundabout? Analysis using the Modified Kinematic LWR Model. East Asian Journal on Applied Mathematics. 6 (1). 80-88. doi:10.4208/eajam.210815.281215a
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