Online Bin Packing of Squares and Cubes
نویسندگان
چکیده
In the d-dimensional online bin packing problem, cubes of positive sizes no larger than 1 are presented one by to be assigned positions in unit cube bins. this work, we provide improved upper bounds on asymptotic competitive ratio for square and problems, where our do not exceed 2.0885 2.5735 packing, respectively. To achieve these results, adapt improve a previously designed harmonic-type algorithm, apply different method defining weight functions. We detect deficiencies state-of-the-art results providing counter-examples current best algorithms their analysis, claimed were 2.1187 2.6161 packing.
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2022
ISSN: ['1432-0541', '0178-4617']
DOI: https://doi.org/10.1007/s00453-022-01078-9