Optimal control for continuous supply network models

Claus Kirchner; Michael Herty; Simone Göttlich; Axel Klar

doi:10.3934/nhm.2006.1.675

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2006, Volume 1, Issue 4: 675-688. Doi: 10.3934/nhm.2006.1.675

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Optimal control for continuous supply network models

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

Received: August 31, 2006

Published: November 2006

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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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Mathematics Subject Classification: Primary: 90B10.

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