On the derivation of the velocity and fundamental traffic flow diagram from the modelling of the vehicle-driver behaviors

被引：6

作者：

Bonzani, I. ^{[2
]}

Mussone, L. ^{[1
]}

机构：

[1] Politecn Milan, Dept Bldg Environm Sci & Technol, Milan, Italy

[2] Politecn Torino, Dept Math, Turin, Italy

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 7-8期

关键词：

Traffic flow; Kinetic theory; Nonlinearity; Equilibrium flow; HYDRODYNAMIC MODELS; KINETIC-THEORY; MATHEMATICAL-THEORY; PARTICLES;

D O I：

10.1016/j.mcm.2009.06.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper deals with derivation of the fundamental diagram by modelling the individual driver behavior that adjusts the velocity to the density of vehicles in order to respect the braking distance. A parameter is properly introduced to model the quality of the driver-vehicle subsystem referred to the environmental conditions. Subsequently, it is shown how to use this result in order to model traffic flows by the macroscopic representation and by the kinetic theory. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1107 / 1112

页数：6

共 50 条

[1] From vehicle-driver behaviors to first order traffic flow macroscopic models
Dolfin, M.
APPLIED MATHEMATICS LETTERS, 2012, 25 (12) : 2162 - 2167
[2] Derivation of a fundamental diagram for urban traffic flow
Helbing, D.
EUROPEAN PHYSICAL JOURNAL B, 2009, 70 (02): : 229 - 241
[3] Derivation of a fundamental diagram for urban traffic flow
D. Helbing
The European Physical Journal B, 2009, 70 : 229 - 241
[4] Measurement of Vehicle-Driver Behavioral-Responses in the Traffic Flow on the Microscopic Level
Cop, Rudi
Dimc, Franc
Paliska, Dejan
ELEKTROTEHNISKI VESTNIK-ELECTROCHEMICAL REVIEW, 2007, 74 (1-2): : 25 - 30
[5] The vehicle length effect on the traffic flow fundamental diagram
Marques Jr, W.
Mendez, A. R.
Velasco, R. M.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2021, 570
[6] Formalizing the heterogeneity of the vehicle-driver system to reproduce traffic oscillations
Makridis, Michail
Leclercq, Ludovic
Ciuffo, Biagio
Fontaras, Georgios
Mattas, Konstantinos
TRANSPORTATION RESEARCH PART C-EMERGING TECHNOLOGIES, 2020, 120 (120)
[7] Modelling traffic flow with a time-dependent fundamental diagram
Li, T
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (05) : 583 - 601
[8] Modelling traffic flow with a time-dependent fundamental diagram
Dept. of Math. and Prog. in AMCS, University of Iowa, Iowa City, IA 52242, United States
1600, 583-601 (March 25, 2004):
[9] Estimating Traffic Flow Rate on Freeways from Probe Vehicle Data and Fundamental Diagram
Anuar, Khairul
Habtemichael, Filmon
Cetin, Mecit
2015 IEEE 18TH INTERNATIONAL CONFERENCE ON INTELLIGENT TRANSPORTATION SYSTEMS, 2015, : 2921 - 2926
[10] On the fundamental diagram of traffic flow
Siebel, Florian
Mauser, Wolfram
SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) : 1150 - 1162

← 1 2 3 4 5 →