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Some Mathematical Facts About Optimal Cache Replacement

Authors: Pierre Michaud;

Some Mathematical Facts About Optimal Cache Replacement

Abstract

This article exposes and proves some mathematical facts about optimal cache replacement that were previously unknown or not proved rigorously. An explicit formula is obtained, giving OPT hits and misses as a function of past references. Several mathematical facts are derived from this formula, including a proof that OPT miss curves are always convex, and a new algorithm called OPT tokens , for reasoning about optimal replacement.

Country
France
Keywords

[INFO.INFO-AR] Computer Science [cs]/Hardware Architecture [cs.AR], cache, optimal replacement

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    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Average
Top 10%
Green
Published in a Diamond OA journal