ON THE CHARACTERISTIC CURVES FOR SINGLE-REGIME TRAFFIC MODELS
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Abstract
In transportation modelling, there is the need to track the positions of vehicles on a road segment over a time
period. As an exertion to estimate the characteristic profles of these vehicles, the LWR model coupled with six diferent
single-regime speed-density models are solved analytical to explain these features. These characteristic curves show the
density profles in the space-time plane. The Greenshields model, Underwood model, Pipes model, Drake model and
MacNicholas model exhibited similar rarefaction wave. The Newell’s speed-density model had an unparalleled density
profle relative to the other models.
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References
Martin Treiber and Arne Kesting. Trafc Flow Dynamics; Data, Models and Simulation. Springer-Verlag Berlin Heidelberg,
R. T. Underwood. Speed, volume, and density relationship: quality and theory of trafc fow. Yale Bureau of Highway Trafc
(New Haven, Connecticut), pages 141{188, 1961.
J. S. Drake, J. L. Schofer, and A. D. May. A statistical analysis of speed-density hypotheses. Highway Research Record, 154:
{87, 1967.
G. F. Newell. Nonlinear efects in the dynamics of car following. Operation Research, 9, 1961.
L. A. Pipes. Car following models and the fundamental diagram of road trafc. Transportation Research, 1:21{29, 1967.
M. J. MacNicholas. A simple and pragmatic representation of trafc fow. in: Symposium on the fundamental diagram: 75
years,. Transportation Research Board, Woods Hole, MA., 2008.
B. D. Greenshields. A study in highway capacity. Highway Res. Board Proc., V14:448 { 477, 1935.
M. J. Lighthill and G. B. Whitham. Kinematic waves. ii. a theory of trafc fow on long crowded roads. proceedings of the
royal society of london. Series a. mathematical and physical sciences, 229(1178):317, 1955.
P. I. Richards. Shock waves on the highway. Operations Research, 4(1):42{51, 1956