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

Fuegenschuh A, Goettlich S, Herty M, Klar A, Martin A (2008)

Publication Language: English

Publication Type: Journal article

Publication year: 2008

Journal

SIAM Journal on Scientific Computing Society for Industrial and Applied Mathematics

Publisher: Society for Industrial and Applied Mathematics

Book Volume: 30

Pages Range: 1490 -- 1507

Journal Issue: 3

DOI: 10.1137/060663799

Abstract

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.

Authors with CRIS profile

Alexander Martin Economics - Discrete Optimization - Mathematics (EDOM)

Involved external institutions

Technische Universität Kaiserslautern DE Germany (DE) Technische Universität Darmstadt DE Germany (DE)

How to cite

APA:

Fuegenschuh, A., Goettlich, S., Herty, M., Klar, A., & Martin, A. (2008). A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations. SIAM Journal on Scientific Computing, 30(3), 1490 -- 1507. https://dx.doi.org/10.1137/060663799

MLA:

Fuegenschuh, A., et al. "A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations." SIAM Journal on Scientific Computing 30.3 (2008): 1490 -- 1507.

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