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    <id>10107</id>
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    <language>eng</language>
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    <type>reportzib</type>
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    <publishedDate>2025-08-12</publishedDate>
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    <title language="eng">Warm-starting Strategies in Scalarization Methods for Multi-Objective Optimization</title>
    <abstract language="eng">We explore how warm-starting strategies can be integrated into scalarization-based approaches for multi-objective optimization in (mixed) integer linear programming. Scalarization methods remain widely used classical techniques to compute Pareto-optimal solutions in applied settings. They are favored due to their algorithmic simplicity and broad applicability across continuous and integer programs with an arbitrary number of objectives. While warm-starting has been applied in this context before, a systematic methodology and analysis remain lacking. We address this gap by providing a theoretical characterization of warm-starting within scalarization methods, focusing on the sequencing of subproblems. However, optimizing the order of subproblems to maximize warm-start efficiency may conflict with alternative criteria, such as early identification of infeasible regions. We quantify these trade-offs through an extensive computational study.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-101073</identifier>
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    <author>Stephanie Riedmüller</author>
    <submitter>Stephanie Riedmüller</submitter>
    <author>Janina Zittel</author>
    <author>Thorsten Koch</author>
    <series>
      <title>ZIB-Report</title>
      <number>25-12</number>
    </series>
    <collection role="persons" number="koch">Koch, Thorsten</collection>
    <collection role="persons" number="zittel">Zittel, Janina</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="institutes" number="aim">Applied Algorithmic Intelligence Methods</collection>
    <collection role="projects" number="MODAL-EnergyLab">MODAL-EnergyLab</collection>
    <collection role="persons" number="riedmueller">Riedmüller, Stephanie</collection>
    <collection role="institutes" number="aopt">Applied Optimization</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/10107/ZIP_Report_25-12.pdf</file>
  </doc>
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