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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

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