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A tight analysis of Brown-Baker-Katseff sequences for online strip packing

Author

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  • W. Kern
  • J. J. Paulus

    (CQM BV)

Abstract

We study certain adversary sequences for online strip packing which were first designed and investigated by Brown, Baker and Katseff (Acta Inform. 18:207–225) and determine the optimal competitive ratio for packing such Brown-Baker-Katseff sequences online. As a byproduct of our result, we get a new lower bound of $\rho \ge 3/2+\sqrt{33}/6 \approx 2.457$ for the competitive ratio of online strip packing.

Suggested Citation

  • W. Kern & J. J. Paulus, 2013. "A tight analysis of Brown-Baker-Katseff sequences for online strip packing," Journal of Combinatorial Optimization, Springer, vol. 26(2), pages 333-344, August.
    • Handle: RePEc:spr:jcomop:v:26:y:2013:i:2:d:10.1007_s10878-012-9463-1
    DOI: 10.1007/s10878-012-9463-1
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    References listed on IDEAS

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    1. Deshi Ye & Xin Han & Guochuan Zhang, 2009. "A note on online strip packing," Journal of Combinatorial Optimization, Springer, vol. 17(4), pages 417-423, May.
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    Cited by:

    1. Yu, Guosong & Mao, Yanling & Xiao, Jiaoliao, 2016. "A new lower bound for online strip packing," European Journal of Operational Research, Elsevier, vol. 250(3), pages 754-759.
    2. Guosong Yu & Yanling Mao & Jiaoliao Xiao, 2017. "A new upper bound for the online square packing problem in a strip," Journal of Combinatorial Optimization, Springer, vol. 33(4), pages 1411-1420, May.

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