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Lower bounds for several online variants of bin packing

Published 10 Aug 2017 in cs.DS, cs.DM, math.CO, and math.OC | (1708.03228v1)

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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