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LRU is better than FIFO under the independent reference model

Part of: Combinatorial probability Special processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

J. van den Berg  and
A. Gandolfi
J. van den Berg*
Affiliation:
CWI
A. Gandolfi*
Affiliation:
Courant Institute
*
∗ Postal address: CWI, Kruislaan 413, 1098 SJ, Amsterdam, The Netherlands.
∗∗ Present address: Department of Statistics, 367 Evans Hall, University of California, Berkeley, CA 94720, USA.
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Abstract

Consider a two-level storage system operating with the least recently used (LRU) or the first-in, first-out (FIFO) replacement strategy. Accesses to the main storage are described by the independent reference model (IRM). Using the FKG inequality, we prove that the miss ratio for LRU is smaller than or equal to the miss ratio for FIFO.

Keywords

REPLACEMENT ALGORITHMSFKG INEQUALITYMEMORY MANAGEMENTMISS RATIOFIFOLRU

MSC classification

Primary: 60C05: Combinatorial probability
Secondary: 90B05: Inventory, storage, reservoirs 60K99: None of the above, but in this section
Type
Short Communications
Information
Journal of Applied Probability , Volume 29 , Issue 1 , March 1992 , pp. 239 - 243
Copyright
Copyright © Applied Probability Trust 1992 

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Footnotes

Research carried out while the author was visiting Cornell University, Ithaca, NY, and partly supported by the US Army Research Office.

Research carried out while the author was visiting the University of California at Davis.

References

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