<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>796</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2004-06-02</completedDate>
    <publishedDate>2004-06-02</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">KKT Systems in Operative Planning for Gas Distribution Networks</title>
    <abstract language="eng">Operative planning in gas networks with prescribed binary decisions yields large scale nonlinear programs defined on graphs. We study the structure of the KKT systems arising in interior methods and present a customized direct solution algorithm. Computational results indicate that the algorithm is suitable for optimization in small and medium-sized gas networks.</abstract>
    <identifier type="serial">04-21</identifier>
    <identifier type="opus3-id">797</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-7962</identifier>
    <enrichment key="SourceTitle">Appeared in : Proc. Appl. Math. Mech. (4)1, (2004) 606-607</enrichment>
    <author>Klaus Ehrhardt</author>
    <author>Marc Steinbach</author>
    <series>
      <title>ZIB-Report</title>
      <number>04-21</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>KKT system</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>sparse factorization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>large-scale nonlinear program</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>gas network</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>operative planning</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="15A23">Factorization of matrices</collection>
    <collection role="msc" number="65F50">Sparse matrices</collection>
    <collection role="msc" number="90C06">Large-scale problems</collection>
    <collection role="msc" number="93C20">Systems governed by partial differential equations</collection>
    <collection role="msc" number="93C95">Applications</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="projects" number="GasNetOpt">GasNetOpt</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/796/ZR-04-21.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/796/ZR-04-21.pdf</file>
  </doc>
</export-example>
