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Lower bounds for batched bin packing

János Balogh (), József Békési (), György Dósa (), Leah Epstein () and Asaf Levin ()
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János Balogh: University of Szeged
József Békési: University of Szeged
György Dósa: University of Pannonia
Leah Epstein: University of Haifa
Asaf Levin: The Technion

Journal of Combinatorial Optimization, 2022, vol. 43, issue 3, No 6, 613-629

Abstract: 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.

Keywords: Bin packing; Batched problems; Competitive analysis; Online algorithms (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10878-021-00797-z

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