Asymptotic Optimality of the Static Frequency Caching in the Presence of Correlated Requests

TL;DR

This paper proves that static frequency caching remains asymptotically optimal even when requests are strongly correlated, extending its known optimality beyond independent request models.

Contribution

It demonstrates that static frequency caching is asymptotically optimal under correlated request patterns, a significant extension of existing results.

Findings

Static frequency caching is asymptotically optimal with correlated requests.

Optimality holds for large cache sizes despite request correlations.

Extends classical results to correlated request scenarios.

Abstract

It is well known that the static caching algorithm that keeps the most frequently requested documents in the cache is optimal in case when documents are of the same size and requests are independent and equally distributed. However, it is hard to develop explicit and provably optimal caching algorithms when requests are statistically correlated. In this paper, we show that keeping the most frequently requested documents in the cache is still optimal for large cache sizes even if the requests are strongly correlated.