Fügenschuh AR, Goettlich S, Herty M, Kirchner C, Martin A (2009)
Publication Language: English
Publication Type: Journal article
Publication year: 2009
Publisher: Springer Verlag (Germany)
Book Volume: 85
Pages Range: 245 -- 265
Journal Issue: 3
DOI: 10.1007/s00607-009-0038-7
We consider a flow network where the flow of parts can be controlled at the vertices of the network. Based on a modified coarse grid discretization presented in Fügenschuh et al. (SIAM J Scientific Comput 30(3):1490-1507, 2008) we derive a mixed-integer program (MIP). Under suitable assumptions on the cost functional we prove that there exists an equivalent linear program (LP). We present numerical results concerning validity of our result and show the improvement of the computing times using the equivalent LP over the MIP.
APA:
Fügenschuh, A.-R., Goettlich, S., Herty, M., Kirchner, C., & Martin, A. (2009). Efficient Reformulation and Solution of a Nonlinear PDE-Controlled Flow Network Model. Computing, 85(3), 245 -- 265. https://doi.org/10.1007/s00607-009-0038-7
MLA:
Fügenschuh, Armin-René, et al. "Efficient Reformulation and Solution of a Nonlinear PDE-Controlled Flow Network Model." Computing 85.3 (2009): 245 -- 265.
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