A MATHEMATICAL-MODEL OF TRAFFIC FLOW ON A NETWORK OF UNIDIRECTIONAL ROADS

被引：220

作者：

HOLDEN, H ^{[1
]}

RISEBRO, NH ^{[1
]}

机构：

[1] UNIV OSLO,DEPT MATH,N-0316 OSLO,NORWAY

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1995年 / 26卷 / 04期

关键词：

TRAFFIC FLOW; CONSERVATION LAWS; NETWORK;

D O I：

10.1137/S0036141093243289

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a model that describes heavy traffic on a network of unidirectional roads. The model consists of a system of initial-boundary value problems for nonlinear conservation laws. We uniquely formulate and solve the Riemann problem for such a system and, based on this, then show existence of a solution to the Cauchy problem.

引用

页码：999 / 1017

页数：19

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