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  <doc>
    <id>8073</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
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    <language>eng</language>
    <pageFirst>23</pageFirst>
    <pageLast>28</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>35</volume>
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    <title language="eng">Capacity Evaluation for Large-Scale Gas Networks</title>
    <parentTitle language="eng">German Success Stories in Industrial Mathematics</parentTitle>
    <identifier type="doi">10.1007/978-3-030-81455-7</identifier>
    <identifier type="isbn">978-3-030-81454-0</identifier>
    <enrichment key="PeerReviewed">no</enrichment>
    <enrichment key="AcceptedDate">2020</enrichment>
    <author>Thorsten Koch</author>
    <author>Martin Schmidt</author>
    <author>Benjamin Hiller</author>
    <author>Marc Pfetsch</author>
    <author>Björn Geißler</author>
    <author>René Henrion</author>
    <author>Imke Joormann</author>
    <author>Alexander Martin</author>
    <author>Antonio Morsi</author>
    <author>Werner Römisch</author>
    <author>Lars Schewe</author>
    <author>Rüdiger Schultz</author>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="institutes" number="Mathematical Algorithmic Intelligence">Mathematical Algorithmic Intelligence</collection>
    <collection role="institutes" number="aim">Applied Algorithmic Intelligence Methods</collection>
    <collection role="projects" number="MODAL-EnergyLab">MODAL-EnergyLab</collection>
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  <doc>
    <id>4718</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
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    <pageNumber/>
    <edition/>
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    <type>article</type>
    <publisherName>Taylor &amp; Francis</publisherName>
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    <title language="eng">Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions</title>
    <abstract language="eng">In this article we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: Given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements such that there exists a network state meeting all physical, technical, and legal constraints.&#13;
&#13;
We describe a two-stage approach to solve the resulting complex and numerically difficult feasibility problem. The first phase consists of four distinct algorithms applying linear, and methods for complementarity constraints to compute possible settings for the discrete decisions. The second phase employs a precise continuous programming model of the gas network. Using this setup, we are able to compute high quality solutions to real-world industrial instances that are significantly larger than networks that have appeared in the mathematical programming literature before.</abstract>
    <parentTitle language="eng">Optimization Methods and Software</parentTitle>
    <identifier type="doi">10.1080/10556788.2014.888426</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-16531</enrichment>
    <submitter>Robert Schwarz</submitter>
    <author>Marc Pfetsch</author>
    <author>Armin Fügenschuh</author>
    <author>Björn Geißler</author>
    <author>Nina Geißler</author>
    <author>Ralf Gollmer</author>
    <author>Benjamin Hiller</author>
    <author>Jesco Humpola</author>
    <author>Thorsten Koch</author>
    <author>Thomas Lehmann</author>
    <author>Alexander Martin</author>
    <author>Antonio Morsi</author>
    <author>Jessica Rövekamp</author>
    <author>Lars Schewe</author>
    <author>Martin Schmidt</author>
    <author>Rüdiger Schultz</author>
    <author>Robert Schwarz</author>
    <author>Jonas Schweiger</author>
    <author>Claudia Stangl</author>
    <author>Marc Steinbach</author>
    <author>Stefan Vigerske</author>
    <author>Bernhard Willert</author>
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    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
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  </doc>
  <doc>
    <id>4738</id>
    <completedYear/>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>449</pageFirst>
    <pageLast>473</pageLast>
    <pageNumber/>
    <edition/>
    <issue>3</issue>
    <volume>5</volume>
    <type>article</type>
    <publisherName>Springer Berlin Heidelberg</publisherName>
    <publisherPlace>Berlin</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
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    <title language="eng">Mathematical optimization for challenging network planning problems in unbundled liberalized gas markets</title>
    <abstract language="eng">The recently imposed new gas market liberalization rules in Germany lead to a change of business of gas network operators. While previously network operator and gas vendor were united, they were forced to split up into independent companies. The network has to be open to any other gas trader at the same conditions, and free network capacities have to be identified and publicly offered in a non-discriminatory way. We discuss how these changing paradigms lead to new and challenging mathematical optimization problems. This includes the validation of nominations, that asks for the decision if the network’s capacity is sufficient to transport a specific amount of flow, the verification of booked capacities and the detection of available freely allocable capacities, and the topological extension of the network with new pipelines or compressors in order to increase its capacity. In order to solve each of these problems and to provide meaningful results for the practice, a mixture of different mathematical aspects have to be addressed, such as combinatorics, stochasticity, uncertainty, and nonlinearity. Currently, no numerical solver is available that can deal with such blended problems out-of-the-box. The main goal of our research is to develop such a solver, that moreover is able to solve instances of realistic size. In this article, we describe the main ingredients of our prototypical software implementations.</abstract>
    <parentTitle language="eng">Energy Systems</parentTitle>
    <identifier type="doi">10.1007/s12667-013-0099-8</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-17821</enrichment>
    <author>Armin Fügenschuh</author>
    <submitter> Humpola</submitter>
    <author>Björn Geißler</author>
    <author>Ralf Gollmer</author>
    <author>Christine Hayn</author>
    <author>René Henrion</author>
    <author>Benjamin Hiller</author>
    <author>Jesco Humpola</author>
    <author>Thorsten Koch</author>
    <author>Thomas Lehmann</author>
    <author>Alexander Martin</author>
    <author>Radoslava Mirkov</author>
    <author>Antonio Morsi</author>
    <author>Werner Römisch</author>
    <author>Jessica Rövekamp</author>
    <author>Lars Schewe</author>
    <author>Martin Schmidt</author>
    <author>Rüdiger Schultz</author>
    <author>Robert Schwarz</author>
    <author>Jonas Schweiger</author>
    <author>Claudia Stangl</author>
    <author>Marc Steinbach</author>
    <author>Bernhard Willert</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
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    <collection role="persons" number="koch">Koch, Thorsten</collection>
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    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="persons" number="schweiger">Schweiger, Jonas</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
  <doc>
    <id>3267</id>
    <completedYear>2011</completedYear>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>105</pageFirst>
    <pageLast>114</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName>VDI-Verlag, Düsseldorf</publisherName>
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    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimierung Technischer Kapazitäten in Gasnetzen</title>
    <parentTitle language="eng">Optimierung in der Energiewirtschaft</parentTitle>
    <enrichment key="Series">VDI-Berichte 2157</enrichment>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-15121</enrichment>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Alexander Martin</author>
    <author>Björn Geißler</author>
    <author>Christine Heyn</author>
    <author>Benjamin Hiller</author>
    <author>Jesco Humpola</author>
    <author>Thorsten Koch</author>
    <author>Thomas Lehmann</author>
    <author>Antonio Morsi</author>
    <author>Marc Pfetsch</author>
    <author>Lars Schewe</author>
    <author>Martin Schmidt</author>
    <author>Rüdiger Schultz</author>
    <author>Robert Schwarz</author>
    <author>Jonas Schweiger</author>
    <author>Marc Steinbach</author>
    <author>Bernhard Willert</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
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    <collection role="projects" number="ForNe">ForNe</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="persons" number="schweiger">Schweiger, Jonas</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
  <doc>
    <id>1512</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2012-04-19</completedDate>
    <publishedDate>2012-04-19</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Optimierung Technischer Kapazitäten in Gasnetzen</title>
    <abstract language="deu">Die mittel- und längerfristige Planung für den Gastransport hat sich durch&#13;
Änderungen in den regulatorischen Rahmenbedingungen stark verkompliziert.&#13;
Kernpunkt ist die Trennung von Gashandel und -transport. Dieser Artikel&#13;
diskutiert die hieraus resultierenden mathematischen Planungsprobleme,&#13;
welche als Validierung von Nominierungen und Buchungen, Bestimmung der&#13;
technischen Kapazität und Topologieplanung bezeichnet werden. Diese&#13;
mathematischen Optimierungsprobleme werden vorgestellt und Lösungsansätze&#13;
skizziert.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-15121</identifier>
    <author>Alexander Martin</author>
    <submitter>Benjamin Hiller</submitter>
    <author>Björn Geißler</author>
    <author>Christine Hayn</author>
    <author>Benjamin Hiller</author>
    <author>Jesco Humpola</author>
    <author>Thorsten Koch</author>
    <author>Thomas Lehmann</author>
    <author>Antonio Morsi</author>
    <author>Marc Pfetsch</author>
    <author>Lars Schewe</author>
    <author>Martin Schmidt</author>
    <author>Rüdiger Schultz</author>
    <author>Robert Schwarz</author>
    <author>Jonas Schweiger</author>
    <author>Marc Steinbach</author>
    <author>Bernhard Willert</author>
    <series>
      <title>ZIB-Report</title>
      <number>11-56</number>
    </series>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Gasnetzplanung</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Technische Kapazitäten</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Nominierungsvalidierung</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Buchungsvalidierung</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Topologieplanung</value>
    </subject>
    <collection role="ccs" number="J.">Computer Applications</collection>
    <collection role="msc" number="90-XX">OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING</collection>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <collection role="projects" number="MODAL-GasLab">MODAL-GasLab</collection>
    <collection role="projects" number="ForNe">ForNe</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="persons" number="schweiger">Schweiger, Jonas</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1512/ZR-11-56.pdf</file>
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  <doc>
    <id>1782</id>
    <completedYear/>
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    <language>eng</language>
    <pageFirst/>
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    <edition/>
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    <completedDate>2013-03-07</completedDate>
    <publishedDate>2013-03-07</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Mathematical Optimization for Challenging Network Planning Problems in Unbundled Liberalized Gas Markets</title>
    <abstract language="eng">The recently imposed new gas market liberalization rules in Germany lead to a change of business of gas network operators. &#13;
While previously network operator and gas vendor where united, they were forced to split up into independent companies. &#13;
The network has to be open to any other gas trader at the same conditions, and free network capacities have to be identified and publicly offered in a non-discriminatory way. &#13;
We show that these new paradigms lead to new and challenging mathematical optimization problems. &#13;
In order to solve them and to provide meaningful results for practice, all aspects of the underlying problems, such as combinatorics, stochasticity, uncertainty, and nonlinearity, have to be addressed. &#13;
With such special-tailored solvers, free network capacities and topological network extensions can, for instance, be determined.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-17821</identifier>
    <identifier type="doi">10.1007/s12667-013-0099-8</identifier>
    <enrichment key="SourceTitle">Appeared in:  Energy Systems  5 (2014) 449-473</enrichment>
    <author>Armin Fügenschuh</author>
    <submitter>Jonas Schweiger</submitter>
    <author>Björn Geißler</author>
    <author>Ralf Gollmer</author>
    <author>Christine Hayn</author>
    <author>Rene Henrion</author>
    <author>Benjamin Hiller</author>
    <author>Jesco Humpola</author>
    <author>Thorsten Koch</author>
    <author>Thomas Lehmann</author>
    <author>Alexander Martin</author>
    <author>Radoslava Mirkov</author>
    <author>Antonio Morsi</author>
    <author>Werner Römisch</author>
    <author>Jessica Rövekamp</author>
    <author>Lars Schewe</author>
    <author>Martin Schmidt</author>
    <author>Rüdiger Schultz</author>
    <author>Robert Schwarz</author>
    <author>Jonas Schweiger</author>
    <author>Claudia Stangl</author>
    <author>Marc Steinbach</author>
    <author>Bernhard Willert</author>
    <series>
      <title>ZIB-Report</title>
      <number>13-13</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Gas Market Liberalization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Entry-Exit Model</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Gas Network Access Regulation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Mixed-Integer Nonlinear Nonconvex Stochastic Optimization</value>
    </subject>
    <collection role="pacs" number="89.30.-g">Energy resources (see also 84.60.-h Direct energy conversion and storage)</collection>
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    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
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    <collection role="projects" number="MODAL-GasLab">MODAL-GasLab</collection>
    <collection role="projects" number="ForNe">ForNe</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="persons" number="schweiger">Schweiger, Jonas</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1782/ZR-13-13.pdf</file>
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    <completedDate>2012-11-19</completedDate>
    <publishedDate>2012-11-19</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Validation of Nominations in Gas Network Optimization: Models, Methods, and Solutions</title>
    <abstract language="eng">In this article we investigate methods to solve a fundamental task in gas transportation, namely the validation of nomination problem: Given a gas transmission network consisting of passive pipelines and active, controllable elements and given an amount of gas at every entry and exit point of the network, find operational settings for all active elements such that there exists a network state meeting all physical, technical, and legal constraints.&#13;
We describe a two-stage approach to solve the resulting complex and numerically difficult mixed-integer non-convex nonlinear feasibility problem. The first phase consists of four distinct algorithms facilitating mixed-integer linear, mixed-integer nonlinear, reduced nonlinear, and complementarity constrained methods to compute possible settings for the discrete decisions. The second phase employs a precise continuous nonlinear programming model of the gas network. Using this setup, we are able to compute high quality solutions to real-world industrial instances whose size is significantly larger than networks that have appeared  in the literature previously.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-16531</identifier>
    <identifier type="doi">10.1080/10556788.2014.888426</identifier>
    <enrichment key="SourceTitle">Appeared in: Optimization Methods and Software 30 (2015) pp. 15-53</enrichment>
    <author>Marc Pfetsch</author>
    <submitter>Jonas Schweiger</submitter>
    <author>Armin Fügenschuh</author>
    <author>Björn Geißler</author>
    <author>Nina Geißler</author>
    <author>Ralf Gollmer</author>
    <author>Benjamin Hiller</author>
    <author>Jesco Humpola</author>
    <author>Thorsten Koch</author>
    <author>Thomas Lehmann</author>
    <author>Alexander Martin</author>
    <author>Antonio Morsi</author>
    <author>Jessica Rövekamp</author>
    <author>Lars Schewe</author>
    <author>Martin Schmidt</author>
    <author>Rüdiger Schultz</author>
    <author>Robert Schwarz</author>
    <author>Jonas Schweiger</author>
    <author>Claudia Stangl</author>
    <author>Marc Steinbach</author>
    <author>Stefan Vigerske</author>
    <author>Bernhard Willert</author>
    <series>
      <title>ZIB-Report</title>
      <number>12-41</number>
    </series>
    <collection role="ccs" number="D.">Software</collection>
    <collection role="ccs" number="J.">Computer Applications</collection>
    <collection role="msc" number="90-08">Computational methods</collection>
    <collection role="msc" number="90C11">Mixed integer programming</collection>
    <collection role="msc" number="90C30">Nonlinear programming</collection>
    <collection role="msc" number="90C90">Applications of mathematical programming</collection>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <collection role="persons" number="vigerske">Vigerske, Stefan</collection>
    <collection role="projects" number="MODAL-GasLab">MODAL-GasLab</collection>
    <collection role="projects" number="ForNe">ForNe</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="persons" number="schweiger">Schweiger, Jonas</collection>
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    <file>https://opus4.kobv.de/opus4-zib/files/1653/ZR-12-41_revised.pdf</file>
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    <completedYear>2009</completedYear>
    <publishedYear>2009</publishedYear>
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    <language>eng</language>
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    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Transport PDE and Mixed-Integer Linear Programming</title>
    <parentTitle language="eng">Dagstuhl Seminar Proceedings 09261, Schloss Dagstuhl – Leibniz-Zentrum für Informatik, Deutschland</parentTitle>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Armin Fügenschuh</author>
    <editor>Cynthia Barnhart</editor>
    <author>Björn ler</author>
    <editor>Uwe Clausen</editor>
    <author>Alexander Martin</author>
    <editor>Ulrich Lauther</editor>
    <author>Antonio Morsi</author>
    <editor>Rolf Möhring</editor>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
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