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Lower bounds for batched bin packing

Author

Listed:
  • János Balogh

    (University of Szeged)

  • József Békési

    (University of Szeged)

  • György Dósa

    (University of Pannonia)

  • Leah Epstein

    (University of Haifa)

  • Asaf Levin

    (The Technion)

Abstract

We consider batched bin packing. Items are presented in a constant number of batches, and each batch should be packed before the next batch is presented. The cases of two, three, and four batches are studied. We prove improved lower bounds for the standard and parametric variants in some of the cases, and shorten the proofs for all other cases. To achieve this, we apply a new technique in our analysis, which differs from the ones previously used for proving such results.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:43:y:2022:i:3:d:10.1007_s10878-021-00797-z
    DOI: 10.1007/s10878-021-00797-z
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    References listed on IDEAS

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    1. Leah Epstein, 2019. "A lower bound for online rectangle packing," Journal of Combinatorial Optimization, Springer, vol. 38(3), pages 846-866, October.
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