Robust optimal discrete arc sizing for tree-shaped potential networks

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Robinius M, Schewe L, Schmidt M, Stolten D, Thürauf J, Welder L
Zeitschrift: Computational Optimization and Applications
Jahr der Veröffentlichung: 2019
ISSN: 0926-6003
Sprache: Englisch


Abstract


We consider the problem of discrete arc sizing for tree-shaped potential networks with respect to infinitely many demand scenarios. This means that the arc sizes need to be feasible for an infinite set of scenarios. The problem can be seen as a strictly robust counterpart of a single-scenario network design problem, which is shown to be NP-complete even on trees. In order to obtain a tractable problem, we introduce a method for generating a finite scenario set such that optimality of a sizing for this finite set implies the sizing's optimality for the originally given infinite set of scenarios. We further prove that the size of the finite scenario set is quadratically bounded above in the number of nodes of the underlying tree and that it can be computed in polynomial time. The resulting problem can then be solved as a standard mixed-integer linear optimization problem. Finally, we show the applicability of our theoretical results by computing globally optimal arc sizes for a realistic hydrogen transport network of Eastern Germany.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Schewe, Lars PD Dr.
Professur für Angewandte Mathematik (Gemischt-ganzzahlige lineare und nichtlineare Optimierung)
Schmidt, Martin Prof. Dr.
Juniorprofessur für Optimierung von Energiesystemen
Thürauf, Johannes
Professur für Angewandte Mathematik (Gemischt-ganzzahlige lineare und nichtlineare Optimierung)


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Forschungszentrum Jülich GmbH (FZJ)


Zitierweisen

APA:
Robinius, M., Schewe, L., Schmidt, M., Stolten, D., Thürauf, J., & Welder, L. (2019). Robust optimal discrete arc sizing for tree-shaped potential networks. Computational Optimization and Applications. https://dx.doi.org/10.1007/s10589-019-00085-x

MLA:
Robinius, Martin, et al. "Robust optimal discrete arc sizing for tree-shaped potential networks." Computational Optimization and Applications (2019).

BibTeX: 

Zuletzt aktualisiert 2019-21-05 um 14:50