Minimising stop and go waves to optimise traffic flow

被引：22

作者：

Colombo, RM ^{[1
]}

Groli, A ^{[1
]}

机构：

[1] Univ Brescia, Dept Math, I-25133 Brescia, Italy

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 06期

关键词：

conservation laws; traffic flow; optimal control of PDE;

D O I：

10.1016/S0893-9659(04)90107-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by the problem of minimising the "stop and go" phenomenon in traffic flow, we consider a nonstandard problem of calculus of variations. Given a system of hyperbolic conservation laws, we introduce an integral functional where the integrating measure depends on the space derivative of the solution to the conservation law. An existence result for initial and, when present, boundary data that minimise this functional is proved. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：697 / 701

页数：5

共 22 条

[1] Continuous dependence for 2x2 conservation laws with boundary [J].