Towards a lifecycle oriented design of infrastructure by mathematical optimization

Kufner T, Leugering G, Martin A, Medgenberg J, Schelbert J, Schewe L, Stingl M, Strohmeyer C, Walther M (2019)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2019

Journal

Optimization and Engineering Springer Verlag (Germany)

Publisher: Springer New York LLC

Book Volume: 20

Pages Range: 215-249

Journal Issue: 1

DOI: 10.1007/s11081-018-9406-5

Abstract

Today’s infrastructures are mainly designed heuristically using state-of-the-art simulation software and engineering approaches. However, due to complexity, only part of the restrictions and costs that show up during the lifecycle can be taken into account. In this paper, we focus on a typical and important class of infrastructure problems, the design of high-pressure steam pipes in power plants, and describe a holistic approach taking all design, physical, and technical constraints and the costs over the full lifecycle into account. The problem leads to a large-scale mixed-integer optimization problem with partial differential equation (PDE) constraints which will be addressed hierarchically. The hierarchy consists of a combinatorial and a PDE-constrained optimization problem. The final design is evaluated with respect to damage, using beam models that are nonlinear with respect to kinematics as well as constitutive law. We demonstrate the success of our approach on a real-world instance from our industrial partner Bilfinger SE.

Authors with CRIS profile

Tobias Kufner Professur für Angewandte Mathematik (Kontinuierliche Optimierung) Günter Leugering Lehrstuhl für Angewandte Mathematik Alexander Martin Economics - Discrete Optimization - Mathematics (EDOM) Jakob Schelbert Economics - Discrete Optimization - Mathematics (EDOM) Lars Schewe Economics - Discrete Optimization - Mathematics (EDOM) Michael Stingl Lehrstuhl für Angewandte Mathematik (Kontinuierliche Optimierung) Christoph Strohmeyer Lehrstuhl für Angewandte Mathematik Maximilian Walther Lehrstuhl für Angewandte Mathematik

Related research project(s)

Energiemarktdesign (EMD) Energie Campus Nürnberg (EnCN2) Jan. 1, 2017 - Dec. 31, 2021

Involved external institutions

a-energen DE Germany (DE)

How to cite

APA:

Kufner, T., Leugering, G., Martin, A., Medgenberg, J., Schelbert, J., Schewe, L.,... Walther, M. (2019). Towards a lifecycle oriented design of infrastructure by mathematical optimization. Optimization and Engineering, 20(1), 215-249. https://dx.doi.org/10.1007/s11081-018-9406-5

MLA:

Kufner, Tobias, et al. "Towards a lifecycle oriented design of infrastructure by mathematical optimization." Optimization and Engineering 20.1 (2019): 215-249.

BibTeX: Download