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A heuristic for solving large bin packing problems in two and three dimensions

Daniel Mack () and Andreas Bortfeldt ()

Central European Journal of Operations Research, 2012, vol. 20, issue 2, 337-354

Abstract: The more-dimensional bin packing problem (BPP) considered here requires packing a set of rectangular-shaped items into a minimum number of identical rectangular-shaped bins. All items may be rotated and the guillotine cut constraint has to be respected. A straightforward heuristic is presented that is based on a method for the container loading problem following a wall-building approach and on a method for the one-dimensional BPP. 1,800 new benchmark instances are introduced for the two-dimensional and three-dimensional BPP. The instances include more than 1,500 items on average. Applied to these very large instances, the heuristic generates solutions of acceptable quality in short computation times. Moreover, the influence of different instance parameters on the solution quality is investigated by an extended computational study. Copyright Springer-Verlag 2012

Keywords: Bin packing; Heuristics; Single bin-size bin packing problem; SBSBPP; Single stock-size cutting stock problem; SSSCSP (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10100-010-0184-1

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Central European Journal of Operations Research is currently edited by Ulrike Leopold-Wildburger

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