Mutual Exclusion: Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
No edit summary
No edit summary
Line 27: Line 27:
|-
|-
| [[Suzuki-Kasami's algorithm ( Mutual Exclusion)|Suzuki-Kasami's algorithm]] || 1985 || $O(n)$? (originally this had $O(logn)$) || $O({1})$ per process, $O(n)$ total? || Exact || Deterministic || [https://cse.iitkgp.ac.in/~agupta/distsys/Mutex-SuzukiKasami.pdf Time] & [https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.135.825&rep=rep1&type=pdf Space]
| [[Suzuki-Kasami's algorithm ( Mutual Exclusion)|Suzuki-Kasami's algorithm]] || 1985 || $O(n)$? (originally this had $O(logn)$) || $O({1})$ per process, $O(n)$ total? || Exact || Deterministic || [https://cse.iitkgp.ac.in/~agupta/distsys/Mutex-SuzukiKasami.pdf Time] & [https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.135.825&rep=rep1&type=pdf Space]
|-
| [[Dekker's algorithm (2-thread Mutual Exclusion Mutual Exclusion)|Dekker's algorithm]] || 1963 || $O(n)$ ||  || Exact || Deterministic || 
|-
|-
| [[Peterson's algorithm ( Mutual Exclusion)|Peterson's algorithm]] || 1981 || $O(n)$ || $O(n)$ total || Exact || Deterministic || [https://zoo.cs.yale.edu/classes/cs323/doc/Peterson.pdf Time]
| [[Peterson's algorithm ( Mutual Exclusion)|Peterson's algorithm]] || 1981 || $O(n)$ || $O(n)$ total || Exact || Deterministic || [https://zoo.cs.yale.edu/classes/cs323/doc/Peterson.pdf Time]
Line 36: Line 38:
|}
|}


== Time Complexity graph ==  
== Time Complexity Graph ==  


[[File:Mutual Exclusion - Time.png|1000px]]
[[File:Mutual Exclusion - Time.png|1000px]]


== Space Complexity graph ==  
== Space Complexity Graph ==  


[[File:Mutual Exclusion - Space.png|1000px]]
[[File:Mutual Exclusion - Space.png|1000px]]


== Pareto Decades graph ==  
== Pareto Frontier Improvements Graph ==  


[[File:Mutual Exclusion - Pareto Frontier.png|1000px]]
[[File:Mutual Exclusion - Pareto Frontier.png|1000px]]

Revision as of 14:04, 15 February 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 $O(logn)$? (originally this had $O(n)$) $O({1})$ per process, $O(n)$ total? Exact Deterministic 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 $O(logn)$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time
Chan-Singhal-Liu 1990 $O(logn)$ $O({1})$ per process, $O(n)$ total? Exact Deterministic Time

Time Complexity Graph

Mutual Exclusion - Time.png

Space Complexity Graph

Mutual Exclusion - Space.png

Pareto Frontier Improvements Graph

Mutual Exclusion - Pareto Frontier.png