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We study certain adversary sequences for online strip packing which were first designed and investigated by Brown, Baker and Katseff (Acta Inform. 18:207–225) and determine the optimal competitive ratio for packing such Brown-Baker-Katseff sequences online. As a byproduct of our result, we get a new lower bound of $\rho \geq 3/2 + \sqrt{33}/6 \approx 2.457$ for the competitive ratio of online strip packing

A tight analysis of Brown-Baker-Katseff sequences for online strip packing