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New Lower Bounds for the Three-Dimensional Strip Packing Problem

In: Operations Research Proceedings 2013

Author

Listed:
  • Kirsten Hoffmann

    (Fakultät Wirtschaftswissenschaften)

Abstract

In this paper, we study the three-dimensional strip packing problem (SPP3) which involves packing a set of non-rotatable boxes into a three-dimensional strip (container) of fixed length and width but unconstrained height. The goal is to pack all of the boxes orthogonal oriented and without overlapping into the container, minimising its resulting height. We present new lower bounds derived from different relaxations of the mathematical formulation of the SPP3. Furthermore, we show dominance relations between different bounds and limit the worst case performance ratio of some bounds.

Suggested Citation

  • Kirsten Hoffmann, 2014. "New Lower Bounds for the Three-Dimensional Strip Packing Problem," Operations Research Proceedings, in: Dennis Huisman & Ilse Louwerse & Albert P.M. Wagelmans (ed.), Operations Research Proceedings 2013, edition 127, pages 201-207, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-07001-8_27
    DOI: 10.1007/978-3-319-07001-8_27
    as

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