Optimal Control for Traffic Flow Networks

Gugat M, Herty M, Klar A, Leugering G (2005)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2005

Journal

Journal of Optimization Theory and Applications Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 126

Pages Range: 589-616

Journal Issue: 3

URI: http://springerlink.metapress.com/app/home/contribution.asp?wasp=a48c9ab2fb6849c59cda936123adab85&referrer=parent&backto=issue,6,12;journal,1,105;linkingpublicationresults,1:104801,1

DOI: 10.1007/s10957-005-5499-z

Abstract

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. © 2005 Springer Science+Business Media, Inc.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Angewandte Mathematik Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen DE Germany (DE) Technische Universität Kaiserslautern DE Germany (DE)

How to cite

APA:

Gugat, M., Herty, M., Klar, A., & Leugering, G. (2005). Optimal Control for Traffic Flow Networks. Journal of Optimization Theory and Applications, 126(3), 589-616. https://doi.org/10.1007/s10957-005-5499-z

MLA:

Gugat, Martin, et al. "Optimal Control for Traffic Flow Networks." Journal of Optimization Theory and Applications 126.3 (2005): 589-616.

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