A Parallel Approximation Algorithm for Scheduling Parallel Identical Machines

2017 ◽  
Author(s):  
Laleh Ghalami ◽  
Daniel Grosu
Keyword(s):  
Approximation Algorithm ◽  
Identical Machines ◽  
Parallel Identical Machines ◽  
Parallel Approximation ◽  
Parallel Approximation Algorithm

APPROXIMATING MAXIMUM 2-CNF SATISFIABILITY

1992 ◽  
Vol 02 (02n03) ◽  
pp. 181-187 ◽  
Author(s):  
DAVID J. HAGLIN
Keyword(s):  
Approximation Algorithm ◽  
Satisfiability Problem ◽  
Parallel Time ◽  
Performance Guarantees ◽  
Crew Pram ◽  
Parallel Approximation ◽  
Parallel Approximation Algorithm

A parallel approximation algorithm for the MAXIMUM 2-CNF SATISFIABILITY problem is presented. This algorithm runs in O( log 2(n + |F|)) parallel time on a CREW PRAM machine using O(n + |F|) processors, where n is the number of variables and |F| is the number of clauses. Performance guarantees are considered for three slightly differing definitions of this problem.

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