Optimal control for continuous supply network models
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1.
Technische Universität Kaiserslautern, Fachbereich Mathematik, Postfach 3049, D-67653 Kaiserslautern
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2.
Fraunhofer Institute ITWM, Fraunhofer-Platz 1, 67663 Kaiserslautern
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Received:
01 September 2006
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Primary: 90B10.
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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.
Citation: Claus Kirchner, Michael Herty, Simone Göttlich, Axel Klar. Optimal control for continuous supply network models[J]. Networks and Heterogeneous Media, 2006, 1(4): 675-688. doi: 10.3934/nhm.2006.1.675
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Abstract
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.
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