Almost tight bounds for reordering buffer management

Anna Adamaszek, Artur Czumaj, Matthias Englert, Harald Räcke · 2011

We give almost tight bounds for the online reordering buffer management problem on the uniform metric. Specifically, we present the first non-trivial lower bounds for this problem by showing that deterministic online algorithms have a competitive ratio of at least Ω(√{log k/log log k}) and randomized online algorithms have a competitive ratio of at least Ω(log log k), where k denotes the size of the buffer.

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