Better Algorithms for Online Bin Stretching via Computer Search

01/28/2022

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by   Matej Lieskovský, et al.

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We present an algorithm for computing upper bounds for the Online Bin Stretching Problem with a small number of bins and the resulting upper bounds for 4, 5 and 6 bins. This both demonstrates the possibility of using computer search for upper bounds on a fundamentally real-valued online problem and improves upon the best bounds know so far, some of which have remained unchanged since 2001.