Extensions and amplifications of a traffic model of Aw and Rascle

被引：128

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
Aw, A
Rascle, M
[J]. 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
LIGHTHILL, MJ
WHITHAM, GB
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 229 (1178): : 317 - 345
[4] SHOCK-WAVES ON THE HIGHWAY
RICHARDS, PI
[J]. OPERATIONS RESEARCH, 1956, 4 (01) : 42 - 51
[5] Whitham G. B, 1999, LINEAR NONLINEAR WAV

← 1 →