A review of mathematical models for the flow of traffic and some recent results

被引：31

作者：

Darbha, S. ^{[1
]}

Rajagopal, K. R. ^{[1
]}

Tyagi, V. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Mech Engn, College Stn, TX 77843 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 03期

关键词：

intelligent transportation system; density; congestion; dynamical system; macroscopic models; microscopic models;

D O I：

10.1016/j.na.2008.02.123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

After reviewing a variety of macroscopic models based on the continuum approach, cellular automata models, models based on the kinetic theory of gases as well as microscopic models, and delineating their usefulness and deficiencies, we present a model based on a discrete system of dynamical systems. We evaluate the efficacy of the model by comparing the predictions of the model with real time data from monitoring facilities on a highway in Austin, Texas. (C) 2008 Published by Elsevier Ltd.

引用

页码：950 / 970

页数：21

共 64 条

[1] ABDELATY MA, 1995, TRANSPORT RES REC, V1493, P74
[2] From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow
Bellomo, N
Marasco, A
Romano, A
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2002, 3 (03) : 339 - 363
[3] BOSE A, 990110 USC CATT
[4] Brackstone M., 1999, Transportation Research Part F: Traffic Psychology and Behaviour, V2, P181, DOI DOI 10.1016/S1369-8478(00)00005-X
[5] TRAFFIC DYNAMICS - STUDIES IN CAR FOLLOWING
CHANDLER, RE
HERMAN, R
MONTROLL, EW
[J]. OPERATIONS RESEARCH, 1958, 6 (02) : 165 - 184
[6] Chapman S., 1990, MATH THEORY NONUNIFO
[7] CHEN C, 2001, IEEE CONTROL SYS DEC, P26
[8] CHIEN CC, 1995, UCBITSPRR9528 PATH
[9] Chu KC, 1974, TRANSPORT SCI, V8, P361
[10] Requiem for second-order fluid approximations of traffic flow
Daganzo, CF
[J]. TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1995, 29 (04) : 277 - 286

← 1 2 3 4 5 6 7 →