Optimal control for continuous supply network models

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December 2006, 1(4): 675-688. doi: 10.3934/nhm.2006.1.675

Optimal control for continuous supply network models

Claus Kirchner ^1, , Michael Herty ^1, , Simone Göttlich ^1, and Axel Klar ^2,

1.	Technische Universität Kaiserslautern, Fachbereich Mathematik, Postfach 3049, D-67653 Kaiserslautern, Germany, Germany
2.	Fraunhofer Institute ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany

Received September 2006 Published October 2006

Abstract
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We consider a supply network where the flow of parts can be controlled at the vertices of the network. Based on a coarse grid discretization provided in [6] we derive discrete adjoint equations which are subsequently validated by the continuous adjoint calculus. Moreover, we present numerical results concerning the quality of approximations and computing times of the presented approaches.

Keywords: conservation laws, networks, Supply chains, adjoint calculus..

Mathematics Subject Classification: Primary: 90B1.

Citation: Claus Kirchner, Michael Herty, Simone Göttlich, Axel Klar. Optimal control for continuous supply network models. Networks & Heterogeneous Media, 2006, 1 (4) : 675-688. doi: 10.3934/nhm.2006.1.675

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