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  <doc>
    <id>964</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-08-13</completedDate>
    <publishedDate>2007-08-13</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Single-layer Cuts for Multi-layer Network Design Problems</title>
    <abstract language="eng">We study a planning problem arising in SDH/WDM multi-layer telecommunication network design. The goal is to find a minimum cost installation of link and node hardware of both network layers such that traffic demands can be realized via grooming and a survivable routing. We present a mixed-integer programming formulation that takes many practical side constraints into account, including node hardware, several bitrates, and survivability against single physical node or link failures. This model is solved using a branch-and-cut approach with problem-specific preprocessing and cutting planes based on either of the two layers. On several realistic two-layer planning scenarios, we show that these cutting planes are still useful in the multi-layer context, helping to increase the dual bound and to reduce the optimality gaps.</abstract>
    <identifier type="serial">07-21</identifier>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="opus3-id">975</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-9641</identifier>
    <enrichment key="SourceTitle">Appeared in: Telecommunications Modeling, Policy, and Technology. S. Raghavan et al. (eds.) Springer 2008. ISBN 978-0-387-77779-5, pp. 1-23</enrichment>
    <author>Arie M.C.A. Koster</author>
    <submitter>unknown unknown</submitter>
    <author>Sebastian Orlowski</author>
    <author>Christian Raack</author>
    <author>Georg Bayer</author>
    <author>Thomas Engel</author>
    <series>
      <title>ZIB-Report</title>
      <number>07-21</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>telecommunication network</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>multi-layer network design</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mixed-integer programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>cutting planes</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="68M10">Network design and communication [See also 68R10, 90B18]</collection>
    <collection role="msc" number="90B18">Communication networks [See also 68M10, 94A05]</collection>
    <collection role="msc" number="90C57">Polyhedral combinatorics, branch-and-bound, branch-and-cut</collection>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="projects" number="MATHEON-B3">MATHEON-B3</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/964/ZR_07_21.pdf</file>
    <file>https://opus4.kobv.de/opus4-zib/files/964/ZR_07_21.ps</file>
  </doc>
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