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arXiv · 1708.03228

Lower bounds for several online variants of bin packing

János Balogh·József Békési·György Dósa·Leah Epstein·Asaf Levin
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Abstract

We consider several previously studied online variants of bin packing and prove new and improved lower bounds on the asymptotic competitive ratios for them. For that, we use a method of fully adaptive constructions. In particular, we improve the lower bound for the asymptotic competitive ratio of online square packing significantly, raising it from roughly 1.68 to above 1.75.

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János Balogh, József Békési, György Dósa, Leah Epstein, Asaf Levin. 2017-08-10. Lower bounds for several online variants of bin packing. https://arxiv.org/abs/1708.03228

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