On data reduction for dynamic vector bin packing

May 18, 2022 Β· Declared Dead Β· πŸ› Operations Research Letters

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Authors RenΓ© van Bevern, Andrey Melnikov, Pavel Smirnov, Oxana Tsidulko arXiv ID 2205.08769 Category cs.DS: Data Structures & Algorithms Cross-listed cs.DM, math.OC Citations 2 Venue Operations Research Letters Last Checked 4 months ago
Abstract
We study a dynamic vector bin packing (DVBP) problem. We show hardness for shrinking arbitrary DVBP instances to size polynomial in the number of request types or in the maximal number of requests overlapping in time. We also present a simple polynomial-time data reduction algorithm that allows to recover $(1 + {\varepsilon})$-approximate solutions for arbitrary ${\varepsilon} > 0$. It shrinks instances from Microsoft Azure and Huawei Cloud by an order of magnitude for ${\varepsilon} = 0.02$.
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