A Graphics Processing Unit Algorithm to Solve the Quadratic Assignment Problem Using Level-2 Reformulation-Linearization Technique

2017 ◽  
Vol 29 (4) ◽  
pp. 676-687 ◽  
Author(s):  
Alexandre Domingues Gonçalves ◽  
Artur Alves Pessoa ◽  
Cristiana Bentes ◽  
Ricardo Farias ◽  
Lúcia Maria de A. Drummond
Keyword(s):  
Assignment Problem ◽  
Graphics Processing Unit ◽  
Quadratic Assignment Problem ◽  
Quadratic Assignment ◽  
Processing Unit ◽  
Linearization Technique ◽  
Graphics Processing ◽  
Reformulation Linearization ◽  
Level 2

scholarly journals A Level-3 Reformulation-Linearization Technique-Based Bound for the Quadratic Assignment Problem

2012 ◽  
Vol 24 (2) ◽  
pp. 202-209 ◽  
Author(s):  
Peter M. Hahn ◽  
Yi-Rong Zhu ◽  
Monique Guignard ◽  
William L. Hightower ◽  
Matthew J. Saltzman
Keyword(s):  
Assignment Problem ◽  
Quadratic Assignment Problem ◽  
Quadratic Assignment ◽  
Linearization Technique ◽  
Level 3 ◽  
Reformulation Linearization

scholarly journals Combinatorial optimization np-hard problem solved by using the quadratic assignment problem (QAP) solution through a parallel genetic algorithm on GPU

2018 ◽  
Vol 11 (2) ◽  
pp. 146-151
Author(s):  
Eduardo Cárdenas Gómez ◽  
Roberto Poveda Chaves ◽  
Orlando García Hurtado
Keyword(s):  
Genetic Algorithm ◽  
Combinatorial Optimization ◽  
Assignment Problem ◽  
Graphics Processing Units ◽  
Quadratic Assignment Problem ◽  
Quadratic Assignment ◽  
Np Hard ◽  
Parallel Genetic Algorithm ◽  
Hard Problems ◽  
Graphics Processing

In this article, some instances of well known combinatorial optimization NP-Hard problems are solved by using Koopmans and Beckmann formulation of the quadratic assignment problem (QAP). These instances are solved by using an Embarrassingly Parallel Genetic Algorithm or by using an Island Parallel Genetic Algorithm; in both cases, the implementation is carried out on Graphics Processing Units (GPUs).

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