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    <id>3244</id>
    <completedYear>2003</completedYear>
    <publishedYear>2003</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName>Kluver</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Modelling Feasible Network Configurations for UMTS</title>
    <parentTitle language="eng">Telecommunications Network Design and Management</parentTitle>
    <identifier type="url">http://opus.kobv.de/zib/volltexte/2002/684/</identifier>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-6837</enrichment>
    <author>Andreas Eisenblätter</author>
    <editor>G. Anandalingam</editor>
    <editor>S. Raghavan</editor>
    <author>Thorsten Koch</author>
    <author>Alexander Martin</author>
    <author>Tobias Achterberg</author>
    <author>Armin Fügenschuh</author>
    <author>Arie M.C.A. Koster</author>
    <author>Oliver Wegel</author>
    <author>Roland Wessäly</author>
    <collection role="persons" number="achterberg">Achterberg, Tobias</collection>
    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
  </doc>
  <doc>
    <id>3246</id>
    <completedYear>2003</completedYear>
    <publishedYear>2003</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>31</pageFirst>
    <pageLast>38</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName>Springer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimisation Methods for UMTS Radio Network Planning</title>
    <parentTitle language="eng">Operation Research Proceedings 2003</parentTitle>
    <identifier type="doi">10.1007/978-3-642-17022-5_5</identifier>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-7637</enrichment>
    <author>Andreas Eisenblätter</author>
    <editor>Dino Ahr</editor>
    <author>Armin Fügenschuh</author>
    <editor>Roland Fahrion</editor>
    <author>Hans-Florian Geerdes</author>
    <editor>Marcus Oswald</editor>
    <author>Daniel Junglas</author>
    <editor>Gerhard Reinelt</editor>
    <author>Thorsten Koch</author>
    <author>Alexander Martin</author>
    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
  </doc>
  <doc>
    <id>304</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
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    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1997-07-11</completedDate>
    <publishedDate>1997-07-11</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Frequency Assignment in Cellular Phone Networks</title>
    <abstract language="eng">We present a graph-theoretic model for the \emph{frequency assignment problem} in Cellular Phone Networks: Obeying several technical and legal restrictions, frequencies have to be assigned to transceivers so that interference is as small as possible. This optimization problem is NP-hard. Good approximation cannot be guaranteed, unless P = NP. We describe several assignment heuristics. These heuristics are simple and not too hard to implement. We give an assessment of the heuristics' efficiency and practical usefulness. For this purpose, typical instances of frequency assignment problems with up to 4240 transceivers and 75 frequencies of a German cellular phone network operator are used. The results are satisfying from a practitioner's point of view. The best performing heuristics were integrated into a network planning system used in practice.</abstract>
    <identifier type="serial">SC-97-35</identifier>
    <identifier type="opus3-id">305</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-3044</identifier>
    <identifier type="doi">10.1023/A:1018908907763</identifier>
    <enrichment key="SourceTitle">Appeared in: Annals of OR 76 (1998), 73-93</enrichment>
    <author>Ralf Borndörfer</author>
    <author>Andreas Eisenblätter</author>
    <author>Martin Grötschel</author>
    <author>Alexander Martin</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-97-35</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="borndoerfer">Borndörfer, Ralf</collection>
    <collection role="persons" number="groetschel">Grötschel, Martin</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/304/SC-97-35.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/304/SC-97-35.pdf</file>
  </doc>
  <doc>
    <id>683</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-04-02</completedDate>
    <publishedDate>2002-04-02</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Modelling Feasible Network Configurations for UMTS</title>
    <abstract language="eng">A model for the optimisation of the location and configuration of base stations in a UMTS network is described. The focus is primarily on modelling the configuration problem sufficiently accurate using mixed-integer variables and (essentially) linear constraints. These constraints reflect the limited downlink code capacity in each cell, the interference limitations for successful up- and downlink transmissions, the need for sufficiently strong (cell) pilot signals, and the potential gain for mobiles from being in soft(er) hand-over. It is also explained how to use the model as a basis for rating network configurations.</abstract>
    <identifier type="serial">02-16</identifier>
    <identifier type="opus3-id">684</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-6837</identifier>
    <enrichment key="SourceTitle">Appeared in: Telecommunications Network Design and Management. G. Anandalingam, S. Raghavan (eds.) Boston: Kluwer Academic Publ. 2002. ISBN 1-4020-7318-6, pp. 1-24</enrichment>
    <author>Andreas Eisenblätter</author>
    <author>Armin Fügenschuh</author>
    <author>Thorsten Koch</author>
    <author>Arie M.C.A. Koster</author>
    <author>Alexander Martin</author>
    <author>Tobias Pfender</author>
    <author>Oliver Wegel</author>
    <author>Roland Wessäly</author>
    <series>
      <title>ZIB-Report</title>
      <number>02-16</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>UMTS</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>radio interface</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>network planning</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>configuration</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>perfect power control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mathematical model</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mixed integer programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>MOMENTUM</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>IST-20</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="90B18">Communication networks [See also 68M10, 94A05]</collection>
    <collection role="msc" number="90C11">Mixed integer programming</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="achterberg">Achterberg, Tobias</collection>
    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/683/ZR-02-16.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/683/ZR-02-16.pdf</file>
  </doc>
  <doc>
    <id>763</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2003-12-03</completedDate>
    <publishedDate>2003-12-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimization Methods for UMTS Radio Network Planning</title>
    <abstract language="eng">The UMTS radio network planning problem poses the challenge of designing a cost-effective network that provides users with sufficient coverage and capacity. We describe an optimization model for this problem that is based on comprehensive planning data of the EU project MOMENTUM. We present heuristic mathematical methods for this realistic model, including computational results.</abstract>
    <identifier type="serial">03-41</identifier>
    <identifier type="opus3-id">764</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7637</identifier>
    <enrichment key="SourceTitle">Appeared in: Operation Research Proceedings 2003, pp. 31-38, D. Ahr, R. Fahrion, M. Oswald and G. Reinelt (eds.), Springer, ISBN 3-540-41445-3</enrichment>
    <author>Andreas Eisenblätter</author>
    <author>Armin Fügenschuh</author>
    <author>Hans-Florian Geerdes</author>
    <author>Daniel Junglas</author>
    <author>Thorsten Koch</author>
    <author>Alexander Martin</author>
    <series>
      <title>ZIB-Report</title>
      <number>03-41</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/763/ZR-03-41.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/763/ZR-03-41.pdf</file>
  </doc>
  <doc>
    <id>562</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1998-04-03</completedDate>
    <publishedDate>1998-04-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The Orientation Model for Frequency Assignment Problems</title>
    <abstract language="eng">Mobile telecommunication systems establish a large number of communication links with a limited number of available frequencies; reuse of the same or adjacent frequencies on neighboring links causes interference. The task to find an assignment of frequencies to channels with minimal interference is the frequency assignment problem. The frequency assignment problem is usually treated as a graph coloring problem where the number of colors is minimized, but this approach does not model interference minimization correctly. We give in this paper a new integer programming formulation of the frequency assignment problem, the orientation model, and develop a heuristic two-stage method to solve it. The algorithm iteratively solves an outer and an inner optimization problem. The outer problem decides for each pair of communication links which link gets the higher frequency and leads to an acyclic subdigraph problem with additional longest path restrictions. The inner problem to find an optimal assignment respecting an orientation leads to a min-cost flow problem.</abstract>
    <identifier type="serial">TR-98-01</identifier>
    <identifier type="opus3-id">563</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-5627</identifier>
    <author>Ralf Borndörfer</author>
    <author>Andreas Eisenblätter</author>
    <author>Martin Grötschel</author>
    <author>Alexander Martin</author>
    <series>
      <title>ZIB-Report</title>
      <number>TR-98-01</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Minimum-Cost Flow Problems</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Cellular Radio Telephone Systems</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Frequency Assignment Problem</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Integer Programming</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="90B10">Network models, deterministic</collection>
    <collection role="msc" number="90B80">Discrete location and assignment [See also 90C10]</collection>
    <collection role="msc" number="90C10">Integer programming</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="borndoerfer">Borndörfer, Ralf</collection>
    <collection role="persons" number="groetschel">Grötschel, Martin</collection>
    <collection role="projects" number="eplus-FAP">eplus-FAP</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/562/TR-98-01.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/562/TR-98-01.pdf</file>
  </doc>
  <doc>
    <id>790</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-05-07</completedDate>
    <publishedDate>2004-05-07</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">UMTS Radio Network Evaluation and Optimization beyond Snapshots</title>
    <abstract language="eng">This paper is concerned with UMTS radio network design. Our task is to reconfigure antennas and the related cells as to improve network quality. In contrast to second generation GSM networks, \emph{interference} plays a paramount role when designing third generation radio networks. A known compact formulation for assessing the interference characteristics of a radio network as coupling relations between cells based on user snapshots is generalized to statistical average load. This enables us to overcome the notorious difficulties of snapshot-based network optimization approaches. We recall a mixed-integer programming model for the network design problem that is based on user snapshots and contrast it with a new network design model based on the average coupling formulation. Exemplarily focusing on the important problem of optimizing antenna tilts, we give computational results for a fast local search algorithm and the application of a MIP solver to both models. These results demonstrate that our new average-based approaches outperform state-of-the-art snapshot models for UMTS radio network optimization.</abstract>
    <identifier type="serial">04-15</identifier>
    <identifier type="opus3-id">791</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7903</identifier>
    <enrichment key="SourceTitle">Appeared in: Math. Meth. Oper. Res. 63(2006)1-29</enrichment>
    <author>Andreas Eisenblätter</author>
    <author>Hans-Florian Geerdes</author>
    <author>Thorsten Koch</author>
    <author>Alexander Martin</author>
    <author>Roland Wessäly</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-15</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>UMTS</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Network planning</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Network design</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Optimization</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="90C11">Mixed integer programming</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/790/ZR-04-15.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/790/ZR-04-15.pdf</file>
  </doc>
  <doc>
    <id>3251</id>
    <completedYear>2005</completedYear>
    <publishedYear>2005</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1</pageFirst>
    <pageLast>29</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>63</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">UMTS Radio Network Evaluation and Optimization beyond Snapshots</title>
    <parentTitle language="eng">Mathematical Methods of Operations Research</parentTitle>
    <identifier type="doi">10.1007/s00186-005-0002-z</identifier>
    <identifier type="url">http://opus.kobv.de/zib/volltexte/2004/791/</identifier>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-7903</enrichment>
    <author>Andreas Eisenblätter</author>
    <author>Hans-Florian Geerdes</author>
    <author>Thorsten Koch</author>
    <author>Alexander Martin</author>
    <author>Roland Wessäly</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <collection role="projects" number="MATHEON-B4:UMTS">MATHEON-B4:UMTS</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
  <doc>
    <id>3118</id>
    <completedYear>1998</completedYear>
    <publishedYear>1998</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>73</pageFirst>
    <pageLast>93</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>76</volume>
    <type>article</type>
    <publisherName>J. C. Baltzer AG, Science Publishers</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Frequency assignment in cellular phone networks</title>
    <parentTitle language="eng">Annals of Operations Research</parentTitle>
    <identifier type="doi">10.1023/A:1018908907763</identifier>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-3044</enrichment>
    <author>Ralf Borndörfer</author>
    <author>Andreas Eisenblätter</author>
    <author>Martin Grötschel</author>
    <author>Alexander Martin</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="borndoerfer">Borndörfer, Ralf</collection>
    <collection role="persons" number="groetschel">Grötschel, Martin</collection>
    <collection role="projects" number="eplus-FAP">eplus-FAP</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
  <doc>
    <id>2963</id>
    <completedYear>2002</completedYear>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>1</pageFirst>
    <pageLast>24</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>bookpart</type>
    <publisherName>Kluwer</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Mathematical Model of Feasible Network Configurations for UMTS</title>
    <parentTitle language="eng">Telecommunications network design and management</parentTitle>
    <author>Andreas Eisenblätter</author>
    <editor>S. G. Anandalingam</editor>
    <author>Armin Fügenschuh</author>
    <author>Thorsten Koch</author>
    <author>Arie M.C.A. Koster</author>
    <author>Alexander Martin</author>
    <author>Tobias Pfender</author>
    <author>Oliver Wegel</author>
    <author>Roland Wessäly</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="achterberg">Achterberg, Tobias</collection>
    <collection role="persons" number="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
  <doc>
    <id>2958</id>
    <completedYear>2004</completedYear>
    <publishedYear>2004</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>conferenceobject</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Integer Programming Methods for UMTS Radio Network Planning</title>
    <parentTitle language="eng">Proceedings of the WiOpt’04, Cambridge, UK</parentTitle>
    <author>Andreas Eisenblätter</author>
    <author>Armin Fügenschuh</author>
    <author>Hans-Florian Geerdes</author>
    <author>Daniel Junglas</author>
    <author>Thorsten Koch</author>
    <author>Alexander Martin</author>
    <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="institutes" number="aopt">Applied Optimization</collection>
  </doc>
  <doc>
    <id>3278</id>
    <completedYear>2003</completedYear>
    <publishedYear>2003</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue>D4.3</issue>
    <volume/>
    <type>article</type>
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