Competitive analysis of the LRFU paging algorithm

E. Cohen*, H. Kaplan, U. Zwick

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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 + [log(1 - λ)/log λ] - 1, where 1/2 ≤ ≤ ≤ 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.

Original languageEnglish
Pages (from-to)511-516
Number of pages6
Issue number4
StatePublished - 2002


  • Competitive analysis
  • Paging algorithms


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