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A lower bound for online rectangle packing

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  • Leah Epstein

    (University of Haifa)

Abstract

We slightly improve the known lower bound on the asymptotic competitive ratio for online bin packing of rectangles. We present a complete proof for the new lower bound, whose value is above 1.91.

Suggested Citation

  • Leah Epstein, 2019. "A lower bound for online rectangle packing," Journal of Combinatorial Optimization, Springer, vol. 38(3), pages 846-866, October.
    • Handle: RePEc:spr:jcomop:v:38:y:2019:i:3:d:10.1007_s10878-019-00423-z
    DOI: 10.1007/s10878-019-00423-z
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    References listed on IDEAS

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    1. Hiroshi Fujiwara & Koji Kobayashi, 2015. "Improved lower bounds for the online bin packing problem with cardinality constraints," Journal of Combinatorial Optimization, Springer, vol. 29(1), pages 67-87, January.
    2. Csirik, J. & Frenk, J.B.G. & Labbé, M., 1993. "Two-dimensional rectangle packing: on-line methods and results," Econometric Institute Research Papers 11700, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Jian Yang & Joseph Y.-T. Leung, 2003. "The Ordered Open-End Bin-Packing Problem," Operations Research, INFORMS, vol. 51(5), pages 759-770, October.
    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. János Balogh & József Békési & György Dósa & Leah Epstein & Asaf Levin, 2022. "Lower bounds for batched bin packing," Journal of Combinatorial Optimization, Springer, vol. 43(3), pages 613-629, April.
    2. János Balogh & Leah Epstein & Asaf Levin, 2021. "More on ordered open end bin packing," Journal of Scheduling, Springer, vol. 24(6), pages 589-614, December.

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