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Author

  • Schewe, Lars (20)
  • Koch, Thorsten (14)
  • Hiller, Benjamin (13)
  • Schwarz, Robert (12)
  • Schmidt, Martin (11)
  • Schweiger, Jonas (11)
  • Humpola, Jesco (10)
  • Pfetsch, Marc (10)
  • Martin, Alexander (9)
  • Morsi, Antonio (8)
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  • 2020 (1)
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  • 2015 (6)
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  • Article (8)
  • ZIB-Report (6)
  • Book chapter (3)
  • In Proceedings (2)
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  • English (18)
  • German (2)

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Keywords

  • Buchungsvalidierung (1)
  • Entry-Exit Model (1)
  • Gas Market Liberalization (1)
  • Gas Network Access Regulation (1)
  • Gasnetzplanung (1)
  • Mixed-Integer Nonlinear Nonconvex Stochastic Optimization (1)
  • Nominierungsvalidierung (1)
  • Technische Kapazitäten (1)
  • Topologieplanung (1)
  • entry-exit model (1)
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Institute

  • Mathematical Optimization (19)
  • Energy Network Optimization (2)
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  • Mathematical Algorithmic Intelligence (1)

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The Coolest Path Problem (2009)
Frank, Martin ; Fügenschuh, Armin ; Herty, Michael ; Schewe, Lars
We introduce the coolest path problem, which is a mixture of two well-known problems from distinct mathematical fields. One of them is the shortest path problem from combinatorial optimization. The other is the heat conduction problem from the field of partial differential equations. Together, they make up a control problem, where some geometrical object traverses a digraph in an optimal way, with constraints on intermediate or the final state. We discuss some properties of the problem and present numerical solution techniques. We demonstrate that the problem can be formulated as a linear mixed-integer program. Numerical solutions can thus be achieved within one hour for instances with up to 70 nodes in the graph.
Verfeinerte Modelle zur Topologie- und Geometrie-Optimierung von Blechprofilen mit Kammern (2008)
Fügenschuh, Armin ; Hess, Wolfgang ; Schewe, Lars ; Martin, Alexander ; Ulbrich, Stefan
The Coolest Path Problem (2010)
Frank, Martin ; Fügenschuh, Armin ; Herty, Michael ; Schewe, Lars
Evaluating Gas Network Capacities (2015)
Koch, Thorsten ; Hiller, Benjamin ; Pfetsch, Marc ; Schewe, Lars
Mathematical optimization for evaluating gas network capacities (2015)
Schewe, Lars ; Koch, Thorsten ; Martin, Alexander ; Pfetsch, Marc
Perspectives (2015)
Hayn, Christine ; Humpola, Jesco ; Koch, Thorsten ; Schewe, Lars ; Schweiger, Jonas ; Spreckelsen, Klaus
After we discussed approaches to validate nominations and to verify bookings, we consider possible future research paths. This includes determining technical capacities and planning of network extensions.
Mathematische Modellierung, Simulation und Optimierung von Gastransportnetzwerken (2015)
Domschke, Pia ; Groß, Martin ; Hante, Falk M. ; Hiller, Benjamin ; Schewe, Lars ; Schmidt, Martin
Optimierung Technischer Kapazitäten in Gasnetzen (2012)
Martin, Alexander ; Geißler, Björn ; Hayn, Christine ; Hiller, Benjamin ; Humpola, Jesco ; Koch, Thorsten ; Lehmann, Thomas ; Morsi, Antonio ; Pfetsch, Marc ; Schewe, Lars ; Schmidt, Martin ; Schultz, Rüdiger ; Schwarz, Robert ; Schweiger, Jonas ; Steinbach, Marc ; Willert, Bernhard
Die mittel- und längerfristige Planung für den Gastransport hat sich durch Änderungen in den regulatorischen Rahmenbedingungen stark verkompliziert. Kernpunkt ist die Trennung von Gashandel und -transport. Dieser Artikel diskutiert die hieraus resultierenden mathematischen Planungsprobleme, welche als Validierung von Nominierungen und Buchungen, Bestimmung der technischen Kapazität und Topologieplanung bezeichnet werden. Diese mathematischen Optimierungsprobleme werden vorgestellt und Lösungsansätze skizziert.
GasLib - A Library of Gas Network Instances (2015)
Humpola, Jesco ; Joormann, Imke ; Oucherif, Djamal ; Pfetsch, Marc ; Schewe, Lars ; Schmidt, Martin ; Schwarz, Robert
The development of mathematical simulation and optimization models and algorithms for solving gas transport problems is an active field of research. In order to test and compare these models and algorithms, gas network instances together with demand data are needed. The goal of GasLib is to provide a set of publicly available gas network instances that can be used by researchers in the field of gas transport. The advantages are that researchers save time by using these instances and that different models and algorithms can be compared on the same specified test sets. The library instances are encoded in an XML format. In this paper, we explain this format and present the instances that are available in the library.
Computational results for validation of nominations (2015)
Hiller, Benjamin ; Humpola, Jesco ; Lehmann, Thomas ; Lenz, Ralf ; Morsi, Antonio ; Pfetsch, Marc ; Schewe, Lars ; Schmidt, Martin ; Schwarz, Robert ; Schweiger, Jonas ; Stangl, Claudia ; Willert, Bernhard M.
The different approaches to solve the validation of nomination problem presented in the previous chapters are evaluated computationally in this chapter. Each approach is analyzed individually, as well as the complete solvers for these problems. We demonstrate that the presented approaches can successfully solve large-scale real-world instances.
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