On the mathematical theory of vehicular traffic flow I: Fluid dynamic and kinetic modelling

N Bellomo, M Delitala, V Coscia - Mathematical Models and …, 2002 - World Scientific
This review reports the existing literature on traffic flow modelling in the framework of a
critical overview which aims to indicate research perspectives. The contents mainly refer to …

Vehicular mobility patterns and their applications to Internet-of-Vehicles: A comprehensive survey

Q Cui, X Hu, W Ni, X Tao, P Zhang, T Chen… - Science China …, 2022 - Springer
With the growing popularity of the Internet-of-Vehicles (IoV), it is of pressing necessity to
understand transportation traffic patterns and their impact on wireless network designs and …

A non-equilibrium traffic model devoid of gas-like behavior

HM Zhang - Transportation Research Part B: Methodological, 2002 - Elsevier
The validity of existing higher-order continuum models has been seriously challenged in
recent literature. A primary objection to these models is that they exhibit gas-like behavior …

State-of-the-art of vehicular traffic flow modelling

SP Hoogendoorn, PHL Bovy - … Part I: Journal of Systems and …, 2001 - journals.sagepub.com
Nowadays traffic flow and congestion is one of the main societal and economical problems
related to transportation in industrialized countries. In this respect, managing traffic in …

On the modeling of traffic and crowds: A survey of models, speculations, and perspectives

N Bellomo, C Dogbe - SIAM review, 2011 - SIAM
This paper presents a review and critical analysis of the mathematical literature concerning
the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the …

A new continuum model for traffic flow and numerical tests

R Jiang, QS Wu, ZJ Zhu - Transportation Research Part B: Methodological, 2002 - Elsevier
A new continuum traffic flow model is developed in this paper based on an improved car-
following model. In this new continuum model, the speed gradient replaces the density …

On the stochastic fundamental diagram for freeway traffic: Model development, analytical properties, validation, and extensive applications

X Qu, J Zhang, S Wang - Transportation research part B: methodological, 2017 - Elsevier
In this research, we apply a new calibration approach to generate stochastic traffic flow
fundamental diagrams. We first prove that the percentile based fundamental diagrams are …

Incorporation of Lagrangian measurements in freeway traffic state estimation

JC Herrera, AM Bayen - Transportation Research Part B: Methodological, 2010 - Elsevier
Cell-phones equipped with a global positioning system (GPS) provide new opportunities for
location-based services and traffic estimation. When traveling on-board vehicles, these …

[KNIHA][B] Traffic flow theory: Characteristics, experimental methods, and numerical techniques

D Ni - 2015 - books.google.com
Creating Traffic Models is a challenging task because some of their interactions and system
components are difficult to adequately express in a mathematical form. Traffic Flow Theory …

[HTML][HTML] An extended continuum model accounting for the driver's timid and aggressive attributions

R Cheng, H Ge, J Wang - Physics Letters A, 2017 - Elsevier
Considering the driver's timid and aggressive behaviors simultaneously, a new continuum
model is put forwarded in this paper. By applying the linear stability theory, we presented the …