Online (Page Replacements)

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Description

When page fault occurs during the program execution, operating systems use page replacement algorithms to select a victim page from primary memory and makes room for the required page.

Related Problems

Related: Offline

Parameters

$n$: number of page requests

$k$: number of pages able to fit in cache

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Not recently used 1940 $O(nk)$? $O(k)$ Exact Deterministic
First-in, first-out 1940 $O(nk)$? $O(k)$ Exact Deterministic
Second-chance 1940 $O(nk)$? $O(k)$ Exact Deterministic
Clock 1940 $O(nk)$? $O(k)$ Exact Deterministic
Least recently used 1940 $O(nk)$? $O(k)$ Exact Deterministic
Random 1940 $O(n)$ $O(k)$? Exact Randomized
Not frequently used (NFU) 1940 $O(nk)$? $O(k)$ Exact Deterministic
Aging 1940 $O(nk)$? $O(k)$ Exact Deterministic
Longest distance first (LDF) page replacement algorithm 2017 $O(nk)$? $O(k)$ Exact Deterministic Time

Time Complexity Graph

Page Replacements - Online - Time.png

Space Complexity Graph

Page Replacements - Online - Space.png

Time-Space Tradeoff

Page Replacements - Online - Pareto Frontier.png