Algoritma Ant Colony Optimization pada Quadratic Assignment Problem

Quadratic Assignment Problem (QAP) is one extension of the assignment problem by setting n facilities to n certain locations to minimize the total assignment costs. QAP is also a combinatorial optimization problem that is a problem that has a finite set of solutions. Basically the solution of combin...

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Main Authors: Oni Soesanto, Pardi Affandi, Nurul Dasima Astuti
Format: Article
Language:English
Published: Department of Mathematics, Universitas Negeri Gorontalo 2019-07-01
Series:Jambura Journal of Mathematics
Subjects:
Online Access:https://ejurnal.ung.ac.id/index.php/jjom/article/view/2353
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author Oni Soesanto
Pardi Affandi
Nurul Dasima Astuti
author_facet Oni Soesanto
Pardi Affandi
Nurul Dasima Astuti
author_sort Oni Soesanto
collection DOAJ
description Quadratic Assignment Problem (QAP) is one extension of the assignment problem by setting n facilities to n certain locations to minimize the total assignment costs. QAP is also a combinatorial optimization problem that is a problem that has a finite set of solutions. Basically the solution of combinatorial problems can be obtained with the right results but for complex problems with larger data sizes it is quite difficult to calculate because the time used is long enough for the completion process. One of the algorithms implemented in the completion of QAP is the Ant Colony Optimization (ACO) algorithm is an algorithm that mimics the behavior of ants in finding food from the nest to a food source with the help of indirect communication called pheromone, so that pheromone is used to find optimal solutions with quite a short time. in this research ACO is used to solve the QAP problem by using a random proportional of rule formula then getting the smallest solution and renewing the pheromone until the assignment is stable and the solution obtained is fixed until the maximum assignment solution. The results obtained to complete the Quadratic Assignment Problem with the Ant Colony Optimization algorithm to get a solution to the QAP problems tested in the Nugent case resulted in a more minimal solution and the placement of appropriate location facilities through pheromone assistance and stored in a taboo list so that all facilities get a decent location with a worth it short time in completion.
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spelling doaj.art-c739a36f830c4cec9648e42d2b01d0872022-12-22T02:21:18ZengDepartment of Mathematics, Universitas Negeri GorontaloJambura Journal of Mathematics2654-56162656-13442019-07-011210411010.34312/jjom.v1i2.23531720Algoritma Ant Colony Optimization pada Quadratic Assignment ProblemOni Soesanto0Pardi Affandi1Nurul Dasima Astuti2Program Studi Matematika, Fakultas MIPA Universitas Lambung MangkuratProgram Studi Matematika, Fakultas MIPA Universitas Lambung MangkuratProgram Studi Matematika, Fakultas MIPA Universitas Lambung MangkuratQuadratic Assignment Problem (QAP) is one extension of the assignment problem by setting n facilities to n certain locations to minimize the total assignment costs. QAP is also a combinatorial optimization problem that is a problem that has a finite set of solutions. Basically the solution of combinatorial problems can be obtained with the right results but for complex problems with larger data sizes it is quite difficult to calculate because the time used is long enough for the completion process. One of the algorithms implemented in the completion of QAP is the Ant Colony Optimization (ACO) algorithm is an algorithm that mimics the behavior of ants in finding food from the nest to a food source with the help of indirect communication called pheromone, so that pheromone is used to find optimal solutions with quite a short time. in this research ACO is used to solve the QAP problem by using a random proportional of rule formula then getting the smallest solution and renewing the pheromone until the assignment is stable and the solution obtained is fixed until the maximum assignment solution. The results obtained to complete the Quadratic Assignment Problem with the Ant Colony Optimization algorithm to get a solution to the QAP problems tested in the Nugent case resulted in a more minimal solution and the placement of appropriate location facilities through pheromone assistance and stored in a taboo list so that all facilities get a decent location with a worth it short time in completion.https://ejurnal.ung.ac.id/index.php/jjom/article/view/2353quadratic assignment problemant colony optimizationtabu listpheromone
spellingShingle Oni Soesanto
Pardi Affandi
Nurul Dasima Astuti
Algoritma Ant Colony Optimization pada Quadratic Assignment Problem
Jambura Journal of Mathematics
quadratic assignment problem
ant colony optimization
tabu list
pheromone
title Algoritma Ant Colony Optimization pada Quadratic Assignment Problem
title_full Algoritma Ant Colony Optimization pada Quadratic Assignment Problem
title_fullStr Algoritma Ant Colony Optimization pada Quadratic Assignment Problem
title_full_unstemmed Algoritma Ant Colony Optimization pada Quadratic Assignment Problem
title_short Algoritma Ant Colony Optimization pada Quadratic Assignment Problem
title_sort algoritma ant colony optimization pada quadratic assignment problem
topic quadratic assignment problem
ant colony optimization
tabu list
pheromone
url https://ejurnal.ung.ac.id/index.php/jjom/article/view/2353
work_keys_str_mv AT onisoesanto algoritmaantcolonyoptimizationpadaquadraticassignmentproblem
AT pardiaffandi algoritmaantcolonyoptimizationpadaquadraticassignmentproblem
AT nuruldasimaastuti algoritmaantcolonyoptimizationpadaquadraticassignmentproblem