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Improved Lower Bound for Online Strip Packing

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Abstract

We study the online strip packing problem and derive an improved lower bound of ρ≥2.589… for the competitive ratio of this problem. The construction is based on modified “Brown-Baker-Katseff sequences” (Brown et al. in Acta Inform. 18:207–225, 1982) using only two types of rectangles. In addition, we present an online algorithm with competitive ratio \((3+\sqrt{5})/2 = 2.618\ldots\) for packing instances of this type.

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Authors and Affiliations

  1. Max-Planck-Institut für Informatik (MPII), Campus E1 4, 66123, Saarbrücken, Germany

    Rolf Harren

  2. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500, AE Enschede, The Netherlands

    Walter Kern

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  1. Rolf Harren
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  2. Walter Kern
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Correspondence to Walter Kern.

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Harren, R., Kern, W. Improved Lower Bound for Online Strip Packing. Theory Comput Syst 56, 41–72 (2015). https://doi.org/10.1007/s00224-013-9494-8

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