English

Exact Solution Techniques for Two-dimensional Cutting and Packing

Optimization and Control 2020-07-28 v1 Combinatorics

Abstract

We survey the main formulations and solution methods for two-dimensional orthogonal cutting and packing problems, where both items and bins are rectangles. We focus on exact methods and relaxations for the four main problems from the literature: finding a packing with minimum height, packing the items into the minimum number of bins, finding a packing of maximum value, and determining the existence of a feasible packing.

Keywords

Cite

@article{arxiv.2004.12619,
  title  = {Exact Solution Techniques for Two-dimensional Cutting and Packing},
  author = {Manuel Iori and Vinícius L. de Lima and Silvano Martello and Flávio K. Miyazawa and Michele Monaci},
  journal= {arXiv preprint arXiv:2004.12619},
  year   = {2020}
}
R2 v1 2026-06-23T15:06:54.599Z