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  <doc>
    <id>1686</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2012-11-27</completedDate>
    <publishedDate>2012-11-27</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Mixed-Integer Linear Methods for Layout-Optimization of Screening Systems in Recovered Paper Production</title>
    <abstract language="eng">The industrial treatment of waste paper in order to regain valuable&#13;
fibers from which recovered paper can be produced, involves several&#13;
steps of preparation. One important step is the separation of stickies&#13;
that are normally attached to the paper. If not properly separated,&#13;
remaining stickies reduce the quality of the recovered paper or even&#13;
disrupt the production process. For the mechanical separation process&#13;
of fibers from stickies a separator screen is used. This machine has&#13;
one input feed and two output streams, called the accept and the&#13;
reject. In the accept the fibers are concentrated, whereas the reject&#13;
has a higher concentration of stickies. The machine can be controlled&#13;
by setting its reject rate. But even when the reject rate is set&#13;
properly, after just a single screening step, the accept still has too&#13;
many stickies, or the reject too many fibers. To get a proper&#13;
separation, several separators have to be assembled into a&#13;
network. From a mathematical point of view this problem can be seen as&#13;
a multi-commodity network flow design problem with a nonlinear,&#13;
controllable distribution function at each node. We present a&#13;
nonlinear mixed-integer programming model for the simultaneous&#13;
selection of a subset of separators, the network's topology, and the&#13;
optimal setting of each separator. &#13;
Numerical results are obtained via &#13;
different types of linearization of the nonlinearities and the use of&#13;
mixed-integer linear solvers, and compared with state-of-the-art&#13;
global optimization software.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-16862</identifier>
    <author>Armin Fügenschuh</author>
    <submitter>Armin Fügenschuh</submitter>
    <author>Christine Hayn</author>
    <author>Dennis Michaels</author>
    <series>
      <title>ZIB-Report</title>
      <number>12-44</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Mixed-Integer Linear Programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Nonlinear Programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Piecewise Linear Approximation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Topology Optimization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Network Design</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="fuegenschuh">Fügenschuh, Armin</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/1686/ZR-12-44.pdf</file>
  </doc>
</export-example>
