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Two-Dimensional Bin Packing

In: Introduction to Cutting and Packing Optimization

Author

Listed:
  • Guntram Scheithauer

    (TU Dresden)

Abstract

The two-dimensional bin packing problem (2BPP) occurs in different variants in important real-world applications such as glass, paper, and steel cutting. A set of two-dimensional, differently sized, rectangular items is given. They have to be packed into (or cut out of) the minimum number of identical, rectangular bins. Since the one-dimensional BPP is known to be NP-hard, the 2BPP is an NP-hard optimization problem, too. After modeling the non-guillotine, the two-stage, and the three-stage guillotine case, we present some basic results, collect lower bounds, and address heuristic approaches.

Suggested Citation

  • Guntram Scheithauer, 2018. "Two-Dimensional Bin Packing," International Series in Operations Research & Management Science, in: Introduction to Cutting and Packing Optimization, chapter 0, pages 227-244, Springer.
    • Handle: RePEc:spr:isochp:978-3-319-64403-5_8
    DOI: 10.1007/978-3-319-64403-5_8
    as

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