Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity

This paper defines the concepts of region representative vehicle and driver and region representative safe driving awareness and its heterogeneity, and, based on these concepts and a new car-following model proposed, it proposes a new continuum model for traffic flow considering region representativ...

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Main Authors: Youzhi Zeng, Ning Zhang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/603507
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author Youzhi Zeng
Ning Zhang
author_facet Youzhi Zeng
Ning Zhang
author_sort Youzhi Zeng
collection DOAJ
description This paper defines the concepts of region representative vehicle and driver and region representative safe driving awareness and its heterogeneity, and, based on these concepts and a new car-following model proposed, it proposes a new continuum model for traffic flow considering region representative safe driving awareness heterogeneity. Analyses show that the new continuum model follows traffic flow anisotropy principle, and the following insights can be gotten: (1) the bigger the difference of the preceding region representative safe driving awareness coefficient minus the following region representative safe driving awareness coefficient is, the less the probability of the wrong-way travel (the negative velocity) problem in the new continuum model is; (2) when the preceding region representative safe driving awareness coefficient is not less than the following region representative safe driving awareness coefficient, there is no wrong-way travel problem in the new continuum model, and vice versa.
format Article
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institution Kabale University
issn 1687-9120
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language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-854a9651f266458a8aa7b71730833f5c2025-02-03T01:28:14ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/603507603507Continuum Model for Traffic Flow considering Safe Driving Awareness HeterogeneityYouzhi Zeng0Ning Zhang1School of Economics and Management, Beihang University, Beijing 100191, ChinaSchool of Economics and Management, Beihang University, Beijing 100191, ChinaThis paper defines the concepts of region representative vehicle and driver and region representative safe driving awareness and its heterogeneity, and, based on these concepts and a new car-following model proposed, it proposes a new continuum model for traffic flow considering region representative safe driving awareness heterogeneity. Analyses show that the new continuum model follows traffic flow anisotropy principle, and the following insights can be gotten: (1) the bigger the difference of the preceding region representative safe driving awareness coefficient minus the following region representative safe driving awareness coefficient is, the less the probability of the wrong-way travel (the negative velocity) problem in the new continuum model is; (2) when the preceding region representative safe driving awareness coefficient is not less than the following region representative safe driving awareness coefficient, there is no wrong-way travel problem in the new continuum model, and vice versa.http://dx.doi.org/10.1155/2015/603507
spellingShingle Youzhi Zeng
Ning Zhang
Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity
Advances in Mathematical Physics
title Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity
title_full Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity
title_fullStr Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity
title_full_unstemmed Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity
title_short Continuum Model for Traffic Flow considering Safe Driving Awareness Heterogeneity
title_sort continuum model for traffic flow considering safe driving awareness heterogeneity
url http://dx.doi.org/10.1155/2015/603507
work_keys_str_mv AT youzhizeng continuummodelfortrafficflowconsideringsafedrivingawarenessheterogeneity
AT ningzhang continuummodelfortrafficflowconsideringsafedrivingawarenessheterogeneity