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A new upper bound for the online square packing problem in a strip

Author

Listed:
  • Guosong Yu

    (Nanchang University
    Nanchang University)

  • Yanling Mao

    (Nanchang University)

  • Jiaoliao Xiao

    (Nanchang University)

Abstract

In this paper we consider the online problem of packing a list of squares into one strip of width 1 and infinite length without overlap so as to minimize the required height of the packing. We derive an upper bound 5 on the competitive ratio for this problem.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:33:y:2017:i:4:d:10.1007_s10878-016-0046-4
    DOI: 10.1007/s10878-016-0046-4
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    References listed on IDEAS

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    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. 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.
    3. 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.
    4. Xin Han & Deshi Ye & Yong Zhou, 2010. "A note on online hypercube packing," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(2), pages 221-239, June.
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    Cited by:

    1. 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.

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