A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations

We introduce a continuous optimal control problem governed by ordinary and partial differential equations for supply chains on networks. We derive a mixed-integer model by discretization of the dynamics of the partial differential equations and by approximations to the cost functional. Finally, we i...

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Bibliographic Details
Published in:SIAM journal on scientific computing 2008-01, Vol.30 (3), p.1490-1507
Main Authors: Fügenschuh, A., Göttlich, S., Herty, M., Klar, A., Martin, A.
Format: Article
Language:English
Subjects:
Applied mathematics
Approximation
Integer programming
Linear programming
Operations management
Optimization
Partial differential equations
Supply chains
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Summary:We introduce a continuous optimal control problem governed by ordinary and partial differential equations for supply chains on networks. We derive a mixed-integer model by discretization of the dynamics of the partial differential equations and by approximations to the cost functional. Finally, we investigate numerically properties of the derived mixed-integer model and present numerical results for a real-world example.
ISSN:1064-8275
1095-7197
DOI:10.1137/060663799