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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