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A new lower bound for online strip packing

Author

Listed:
  • Yu, Guosong
  • Mao, Yanling
  • Xiao, Jiaoliao

Abstract

In this paper, we consider the online strip packing problem, in which a list of online rectangles has to be packed without overlap or rotation into a strip of width 1 and infinite length so as to minimize the required height of the packing. We derive a new improved lower bound of (3+5)/2≈2.618 for the competitive ratio for this problem. This result improves the best known lower bound of 2.589.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:250:y:2016:i:3:p:754-759
    DOI: 10.1016/j.ejor.2015.10.012
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    References listed on IDEAS

    as
    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.
    2. 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.
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    Cited by:

    1. Deshi Ye & Danny Z. Chen & Guochuan Zhang, 2018. "Online scheduling of moldable parallel tasks," Journal of Scheduling, Springer, vol. 21(6), pages 647-654, December.
    2. Iori, Manuel & de Lima, Vinícius L. & Martello, Silvano & Miyazawa, Flávio K. & Monaci, Michele, 2021. "Exact solution techniques for two-dimensional cutting and packing," European Journal of Operational Research, Elsevier, vol. 289(2), pages 399-415.
    3. 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.
    4. Kaiyuan Liu & Hongyu Zhang & Chong Wang & Hui Li & Yongquan Chen & Qiong Chen, 2023. "Robust Optimization for the Two-Dimensional Strip-Packing Problem with Variable-Sized Bins," Mathematics, MDPI, vol. 11(23), pages 1-22, November.

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    1. 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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