<?xml version="1.0" encoding="utf-8"?>
<export-example>
  <doc>
    <id>95</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>1993-01-13</completedDate>
    <publishedDate>1993-01-13</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Some Integer Programs Arising in the Design of Main Frame Computers.</title>
    <abstract language="eng">In this paper we describe and discuss a problem that arises in the (global) design of a main frame computer. The task is to assign certain functional units to a given number of so called multi chip modules or printed circuit boards taking into account many technical constraints and minimizing a complex objective function. We describe the real world problem. A thorough mathematical modelling of all aspects of this problem results in a rather complicated integer program that seems to be hopelessly difficult -- at least for the present state of integer programming technology. We introduce several relaxations of the general model, which are also $NP$-hard, but seem to be more easily accessible. The mathematical relations between the relaxations and the exact formulation of the problem are discussed as well.</abstract>
    <identifier type="serial">SC-92-25</identifier>
    <identifier type="opus3-id">94</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-957</identifier>
    <enrichment key="SourceTitle">Appeared in: Zeitschrift für Operations Research 38 1 (1993) pp. 77-100.</enrichment>
    <author>Carlos E. Ferreira</author>
    <author>Martin Grötschel</author>
    <author>Stefan Kiefl</author>
    <author>Ludwig Krispenz</author>
    <author>Alexander Martin</author>
    <author>Robert Weismantel</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-92-25</number>
    </series>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <collection role="persons" number="groetschel">Grötschel, Martin</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/95/SC-92-25.ps</file>
    <file>https://opus4.kobv.de/opus4-zib/files/95/SC-92-25.pdf</file>
  </doc>
  <doc>
    <id>3076</id>
    <completedYear>1993</completedYear>
    <publishedYear>1993</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>77</pageFirst>
    <pageLast>100</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>38</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Some Integer Programs Arising in the Design of Main Frame Computers</title>
    <parentTitle language="eng">ZOR - Methods and Models of Operations Research</parentTitle>
    <enrichment key="PreprintUrn">urn:nbn:de:0297-zib-957</enrichment>
    <author>Carlos Ferreira</author>
    <author>Martin Grötschel</author>
    <author>Alexander Martin</author>
    <author>Robert Weismantel</author>
    <author>Stefan Kiefl</author>
    <author>Ludwig Krispenz</author>
    <collection role="institutes" number="optimization">Mathematical Optimization</collection>
    <collection role="persons" number="groetschel">Grötschel, Martin</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
  </doc>
</export-example>
