Extensions and amplifications of a traffic model of Aw and Rascle

被引：132

作者：

Greenberg, JM ^{[1
]}

机构：

[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2002年 / 62卷 / 03期

关键词：

conservation laws; hyperbolic equations; traffic flow; relaxation model;

D O I：

10.1137/S0036139900378657

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In a recent paper Aw and Rascle [SIAM J. Appl. Math., 60 (2000), pp. 916 938] introduced a new model of traffic on a uni-directional highway. Here the author studies an extension of this model, one which accounts for drivers attempting to travel at the maximum allowable speed. The author looks at a Lagrangian reformulation of this problem, a formulation that leads to an effective computational algorithm for solving the resulting system.

引用

页码：729 / 745

页数：17

共 5 条

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

Aw, A ;

Rascle, M .

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

[2]

Courant R., 1948, SUPERSONIC FLOWS SHO

[3] ON KINEMATIC WAVES .2. A THEORY OF TRAFFIC FLOW ON LONG CROWDED ROADS [J].

LIGHTHILL, MJ ;

WHITHAM, GB .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 229 (1178) :317-345

[4] SHOCK-WAVES ON THE HIGHWAY [J].

RICHARDS, PI .

OPERATIONS RESEARCH, 1956, 4 (01) :42-51

[5]

Whitham G. B, 1999, LINEAR NONLINEAR WAV

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