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

Authors:
A. Fügenschuh;S. Göttlich;M. Herty;A. Klar;A. Martin
Affiliations:
fuegenschuh@mathematik.tu-darmstadt.de;goettlich@mathematik.uni-kl.de;-;herty@mathematik.uni-kl.de;martin@mathematik.tu-darmstadt.de
Venue:
SIAM Journal on Scientific Computing
Year:
2008

Citing 0
Cited 2

MIP presolve techniques for a PDE-based supply chain model

Optimization Methods & Software
Efficient reformulation and solution of a nonlinear PDE-controlled flow network model

Computing

Quantified Score

Hi-index	0.00

Visualization

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.