First order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow

被引：39

作者：

Bellomo, N

Coscia, V

机构：

[1] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[2] Univ Ferrara, Dipartmento Matemat, I-44100 Ferrara, Italy

来源：

COMPTES RENDUS MECANIQUE | 2005年 / 333卷 / 11期

关键词：

continuum mechanics; traffic flow models; mass conservation; continuum models; nonlinear sciences;

D O I：

10.1016/j.crme.2005.09.004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This article deals with a review and critical analysis of first order hydrodynamic models of vehicular traffic flow obtained by the closure of the mass conservation equation. The closure is obtained by phenomenological models suitable to relate the local mean velocity to local density profiles. Various models are described and critically analyzed in the deterministic and stochastic case. The analysis is developed in view of applications of the models to traffic flow simulations for networks of roads. Some research perspectives are derived from the above analysis and proposed in the last part of the paper. To cite this article: N. Bellonlo, V Coscia, C. R. Mecanique 333 (2005). (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：843 / 851

页数：9

共 26 条

[1]

Astarita V, 2002, MATH COMPUT MODEL, V35, P643, DOI 10.1016/S0895-7177(02)80026-7

[2] Resurrection of "second order" models of traffic flow [J].

Aw, A ;

Rascle, M .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2000, 60 (03) :916-938

[3] On the mathematical theory of vehicular traffic flow - I. Fluid dynamic and kinetic modelling [J].

Bellomo, N ;

Delitala, M ;

Coscia, V .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002, 12 (12) :1801-1843

[4] From the modelling of driver's behavior to hydrodynamic models and problems of traffic flow [J].

Bellomo, N ;

Marasco, A ;

Romano, A .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2002, 3 (03) :339-363

[5]

Bertotti ML, 2003, MATH COMPUT MODEL, V38, P367, DOI 10.1016/S0895-7177(03)00227-9

[6] Hydrodynamic models of traffic flow: Drivers' behaviour and nonlinear diffusion [J].

Bonzani, I .

MATHEMATICAL AND COMPUTER MODELLING, 2000, 31 (6-7) :1-8

[7] Stochastic modelling of traffic flow [J].

Bonzani, I ;

Mussone, L .

MATHEMATICAL AND COMPUTER MODELLING, 2002, 36 (1-2) :109-119

[8] On a diffusively corrected kinematic-wave traffic flow model with changing road surface conditions [J].

Bürger, R ;

Karlsen, KH .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2003, 13 (12) :1767-1799

[9] On a closure of mass conservation equation and stability analysis in the mathematical theory of vehicular traffic flow [J].

Coscia, V .

COMPTES RENDUS MECANIQUE, 2004, 332 (08) :585-590

[10] Requiem for second-order fluid approximations of traffic flow [J].

Daganzo, CF .

TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 1995, 29 (04) :277-286

← 1 2 3 →