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The Balanced Maximally Diverse Grouping Problem with Attribute Values and Varying Group Sizes

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Operations Research Proceedings 2021 (OR 2021)

Part of the book series: Lecture Notes in Operations Research ((LNOR))

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Abstract

The balanced maximally diverse grouping problem with attribute values and varying group sizes (BMDGPAVVG) searches for the best balanced solution amongst all optimal solutions of the corresponding instance of the maximally diverse grouping problem with attribute values and varying group sizes (MDGPAVVG). We describe the set of optimal solutions of MDGPAVVG which allows us to use a short integer program presented in the literature to solve the BMDGPAVVG.

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Author information

Authors and Affiliations

  1. Institute of Operations Management, Universität Hamburg, Moorweidenstraße 18, 20148, Hamburg, Germany

    Arne Schulz

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  1. Arne Schulz
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Correspondence to Arne Schulz .

Editor information

Editors and Affiliations

  1. Department of Business Administration, University of Bern, Bern, Switzerland

    Norbert Trautmann

  2. Department of Business Administration, University of Bern, Bern, Switzerland

    Mario Gnägi

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Schulz, A. (2022). The Balanced Maximally Diverse Grouping Problem with Attribute Values and Varying Group Sizes. In: Trautmann, N., Gnägi, M. (eds) Operations Research Proceedings 2021. OR 2021. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-08623-6_23

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