Optimal control for traffic flow networks

被引：86

作者：

Gugat, M ^{[1
]}

Herty, M

Klar, A

Leugering, G

机构：

[1] FAU Erlangen Nurnberg, Inst Angew Math, Erlangen, Germany

[2] TU Darmstadt, Fachbereich Math, Darmstadt, Germany

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2005年 / 126卷 / 03期

关键词：

traffic flows; networks; hyperbolic systems; adjoint systems;

D O I：

10.1007/s10957-005-5499-z

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We consider traffic flow models for road networks where the flow is controlled at the nodes of the network. For the analytical and numerical optimization of the control, the knowledge of the gradient of the objective functional is useful. The adjoint calculus introduced below determines the gradient in two ways. We derive the adjoint equations for the continuous traffic flow network model and derive also the adjoint equations for a discretized model. Numerical examples for the solution of problems of optimal control for traffic flow networks are presented.

引用

页码：589 / 616

页数：28

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