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<p>We consider assortment packs of apparel items which are sold in multiple sizes. Our goal is to jointly optimize the design and allocation of these assortment packs so that the needs of each store in a network for each apparel size can be met by allocating a specific quantity of each pack configuration. We frame the problem as a Bi-Linear Integer Program and present an ensemble optimization method to take advantage of this bi-linearity. This ensemble framework is flexible and can be applied to many variations of this and similar problems. We then evaluate the performance of our method on 10 benchmark datasets from the Target Corporation, which we make public for interested readers to develop their own solutions.</p>

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Assortment pack design and allocation

  • 期刊论文

  • 发表日期：

    2026年5月5日

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  • Shobhit Jain,
  • Timothy Murray,
  • Sriram Nutulapati

摘要

We consider assortment packs of apparel items which are sold in multiple sizes. Our goal is to jointly optimize the design and allocation of these assortment packs so that the needs of each store in a network for each apparel size can be met by allocating a specific quantity of each pack configuration. We frame the problem as a Bi-Linear Integer Program and present an ensemble optimization method to take advantage of this bi-linearity. This ensemble framework is flexible and can be applied to many variations of this and similar problems. We then evaluate the performance of our method on 10 benchmark datasets from the Target Corporation, which we make public for interested readers to develop their own solutions.