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On-line bin packing with restricted repacking

Author

Listed:
  • János Balogh

    (University of Szeged)

  • József Békési

    (University of Szeged)

  • Gábor Galambos

    (University of Szeged)

  • Gerhard Reinelt

    (University of Heidelberg)

Abstract

Semi-on-line algorithms for the bin-packing problem allow, in contrast to pure on-line algorithms, the use of certain types of additional operations for each step. Examples include repacking, reordering or lookahead before packing the items. Here we define and analyze a semi-on-line algorithm where for each step at most k items can be repacked, for some positive integer k. We prove that the upper bound for the asymptotic competitive ratio of the algorithm is a decreasing function of k, which tends to 3/2 as k goes to infinity. We also establish lower bounds for this ratio and show that the gap between upper and lower bounds is relatively small.

Suggested Citation

  • János Balogh & József Békési & Gábor Galambos & Gerhard Reinelt, 2014. "On-line bin packing with restricted repacking," Journal of Combinatorial Optimization, Springer, vol. 27(1), pages 115-131, January.
    • Handle: RePEc:spr:jcomop:v:27:y:2014:i:1:d:10.1007_s10878-012-9489-4
    DOI: 10.1007/s10878-012-9489-4
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    Citations

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    Cited by:

    1. József Békési & Gábor Galambos, 2018. "Tight bounds for NF-based bounded-space online bin packing algorithms," Journal of Combinatorial Optimization, Springer, vol. 35(2), pages 350-364, February.
    2. Zhu, Dingju, 2016. "Quasi-human seniority-order algorithm for unequal circles packing," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 506-517.
    3. Feifeng Zheng & Li Luo & E. Zhang, 2015. "NF-based algorithms for online bin packing with buffer and bounded item size," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 360-369, August.
    4. Jing Chen & Xin Han & Kazuo Iwama & Hing-Fung Ting, 2015. "Online bin packing with (1,1) and (2, $$R$$ R ) bins," Journal of Combinatorial Optimization, Springer, vol. 30(2), pages 276-298, August.

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