Comparison of the anisotropic and isotropic macroscopic traffic flow models
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Date
2023-06
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Publisher
Engineering and Applied Science Letters
Abstract
Second-order macroscopic vehicular traffic flow models are categorized under two broad headings
based on the direction of their characteristics. Faster-than-vehicle waves are often called isotropic models
vis-รก-vis anisotropic models with slower-than-vehicle characteristic speed. The dispute on the supremacy
among these families of models is the motivation for this paper. This paper compares and contrasts six
distinctive second-order macroscopic models using a numerical simulation and analysis. Three models are
characterized by faster-than-vehicle waves with their corresponding anisotropic counterparts. Simulation
results on the formation of deceleration waves and the dissolution of acceleration fans are presented to
graphically compare the wave profiles of the selected isotropic and anisotropic traffic models. Observably,
these opposing models can all characterize these physical traffic phenomena to the same degree. Thus, faster
characteristic speed conceptualization of second-order macroscopic equations does not tantamount to model
failure but rather lies in the explanation of this property.
Description
This article is published by Engineering and Applied Science Letters 2022 and is also available at https://pisrt.org/psr-press/journals/easl
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Citation
Eng. Appl. Sci. Lett. 2023, 6(1), 26-36; doi:10.30538/psrp-easl2023.0093