Properties of the miss ratio for a 2-level storage model with LRU or FIFO replacement strategy and independent references

Author

van den Berg, J. ; Toswley, D.

Author_Institution

CWI, Amsterdam, Netherlands

Volume

42

Issue

4

fYear

1993

fDate

4/1/1993 12:00:00 AM

Firstpage

508

Lastpage

512

Abstract

The behavior of a two-level storage system operating with the least recently used (LRU) or the first-in, first-out (FIFO) replacement strategy, where accesses to the main storage are described by the independent reference model (IRM), is discussed. Let the size of main storage be m. It is proved that the miss ratio (i.e., the steady-state probability that the item currently required is not in main storage) exhibits the following properties: the miss ratio is a convex function of m under LRU, the function (1-miss ratio)/m is nonincreasing in m under FIFO, and the miss ratio is a Schur-convex function of the reference probabilities under FIFO

Keywords

storage management; 2-level storage model; FIFO replacement strategy; LRU; Schur-convex function; convex function; independent references; least recently used; miss ratio; reference probabilities; steady-state probability; Algorithm design and analysis; Costs; Databases; Frequency; Information science; Measurement; Performance analysis; Predictive models; Random variables; Steady-state;

fLanguage

English

Journal_Title

Computers, IEEE Transactions on

Publisher

ieee

ISSN

0018-9340

Type

jour

DOI

10.1109/12.214697

Filename

214697