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Randomized Online Computation with High Probability Guarantees
Dennis Komm1, Rastislav Královič2, Richard Královič1
1Department of Computer Science, ETH Zurich, Zurich, Switzerland.
Abstract:
We study the relationship between the competitive ratio and the tail distribution of randomized online problems. To this end, we identify a broad class of online problems for which the existence of a randomized online algorithm with constant expected competitive ratio r implies the existence of a randomized online algorithm that has a competitive ratio of with high probability, measured with respect to the optimal profit or cost, respectively. The class of problems includes some of the well-studied online problems such as paging, k-server, and metrical task systems on finite metric spaces.
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