Mutual Exclusion: Difference between revisions

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[[File:Mutual Exclusion - Time.png|1000px]]
[[File:Mutual Exclusion - Time.png|1000px]]
== Space Complexity Graph ==
[[File:Mutual Exclusion - Space.png|1000px]]
== Time-Space Tradeoff ==
[[File:Mutual Exclusion - Pareto Frontier.png|1000px]]

Latest revision as of 09:07, 28 April 2023

Description

Mutual exclusion is a property of concurrency control; which is instituted for the purpose of preventing race conditions.

Parameters

$n$: number of processors

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Lamport's bakery algorithm 1974 $O(n)$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time & Space
Szymanski's algorithm 1988 $O(n)$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time & Space
Taubenfeld's black-white bakery algorithm 2004 $O(n)$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time & Space
Maekawa's algorithm 1985 $O(n^{0.5})$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time & Space
Raymond's algorithm 1997 $O(\log n)$? (originally this had $O(n)$) $O({1})$ per process, $O(n)$ total? Exact Deterministic Time & Space
Suzuki-Kasami's algorithm 1985 $O(n)$? (originally this had $O(logn)$) $O({1})$ per process, $O(n)$ total? Exact Deterministic Time & Space
Dekker's algorithm 1963 $O(n)$ Exact Deterministic
Peterson's algorithm 1981 $O(n)$ $O(n)$ total Exact Deterministic Time
Naimi-Trehel's algorithm 1996 $O(\log n)$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time
Chan-Singhal-Liu 1990 $O(\log n)$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time

Time Complexity Graph

Mutual Exclusion - Time.png