Abstract
Abstract. We present a competitive analysis of the LRFU paging algorithm, a hybrid of the LRU (Least Recently Used) and LFU (Least Frequently Used) paging algorithms. We show that the competitive ratio of LRFU is k + $\lceil$ log(1-λ ) / logλ $\rceil$ - 1, where 1/2 < ≤ λ ≤ 1 is the decay parameter used by the LRFU algorithm, and k is the size of the cache. This supplies, in particular, the first natural paging algorithms that are competitive but are not optimally competitive, answering a question of Borodin and El-Yaniv. Although LRFU, as it turns out, is not optimally competitive, it is expected to behave well in practice, as it combines the benefits of both LRU and LFU.
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