Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm

Simulated annealing is an optimization method adapted from the annealing process. The optimization process using simulated annealing method is done by mapping the elements of physical coolant process onto the elements of optimization problem. This method uses local neighborhood search to find soluti...

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Main Authors: Yosua Heru Irawan, Po Ting Lin
Format: Article
Language:English
Published: University of Muhammadiyah Malang 2023-12-01
Series:JEMMME (Journal of Energy, Mechanical, Material, and Manufacturing Engineering)
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Online Access:https://ejournal.umm.ac.id/index.php/JEMMME/article/view/29556
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author Yosua Heru Irawan
Po Ting Lin
author_facet Yosua Heru Irawan
Po Ting Lin
author_sort Yosua Heru Irawan
collection DOAJ
description Simulated annealing is an optimization method adapted from the annealing process. The optimization process using simulated annealing method is done by mapping the elements of physical coolant process onto the elements of optimization problem. This method uses local neighborhood search to find solutions, meaning it searches around it for answers itself and takes another solution based on everything around it. The simulated annealing method has been used successfully for the optimization process in the continuous case (Himmelblau’s function) and combinational case (Quadratic Assignment Problem or QAP). Based on the optimization results (global minima) for the Himmelblau's function, the points  and   are obtained with objective function . The optimal solution for the eight departmental arrangements is F, E, A, G for the bottom floor and H, D, C, B for the top floor, this arrangement produces an optimal total cost of 214. The simulated annealing method accepts an uphill move (worse move) by considering the probability, in this way we will not be trapped in the local minima position. These four search space variables  and  determine the performance of the simulated annealing method, we can adjust them according to the optimized case.Simulated annealing is an optimization method adapted from the annealing process. The optimization process using simulated annealing method is done by mapping the elements of physical coolant process onto the elements of optimization problem. This method uses local neighborhood search to find solutions, meaning it searches around it for answers itself and takes another solution based on everything around it. The simulated annealing method has been used successfully for the optimization process in the continuous case (Himmelblau’s function) and combinational case (Quadratic Assignment Problem or QAP). Based on the optimization results (global minima) for the Himmelblau's function, the points  and   are obtained with objective function . The optimal solution for the eight departmental arrangements is F, E, A, G for the bottom floor and H, D, C, B for the top floor, this arrangement produces an optimal total cost of 214. The simulated annealing method accepts an uphill move (worse move) by considering the probability, in this way we will not be trapped in the local minima position. These four search space variables  and  determine the performance of the simulated annealing method, we can adjust them according to the optimized case.
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spelling doaj-art-ca521ab9f58b45ee87f0b9cef4b394da2025-01-21T05:02:28ZengUniversity of Muhammadiyah MalangJEMMME (Journal of Energy, Mechanical, Material, and Manufacturing Engineering)2541-63322548-42812023-12-0182758210.22219/jemmme.v8i2.2955627402Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithmYosua Heru Irawan0Po Ting Lin1Institut Teknologi Nasional Yogyakarta (ITNY)National Taiwan University of Science and TechnologySimulated annealing is an optimization method adapted from the annealing process. The optimization process using simulated annealing method is done by mapping the elements of physical coolant process onto the elements of optimization problem. This method uses local neighborhood search to find solutions, meaning it searches around it for answers itself and takes another solution based on everything around it. The simulated annealing method has been used successfully for the optimization process in the continuous case (Himmelblau’s function) and combinational case (Quadratic Assignment Problem or QAP). Based on the optimization results (global minima) for the Himmelblau's function, the points  and   are obtained with objective function . The optimal solution for the eight departmental arrangements is F, E, A, G for the bottom floor and H, D, C, B for the top floor, this arrangement produces an optimal total cost of 214. The simulated annealing method accepts an uphill move (worse move) by considering the probability, in this way we will not be trapped in the local minima position. These four search space variables  and  determine the performance of the simulated annealing method, we can adjust them according to the optimized case.Simulated annealing is an optimization method adapted from the annealing process. The optimization process using simulated annealing method is done by mapping the elements of physical coolant process onto the elements of optimization problem. This method uses local neighborhood search to find solutions, meaning it searches around it for answers itself and takes another solution based on everything around it. The simulated annealing method has been used successfully for the optimization process in the continuous case (Himmelblau’s function) and combinational case (Quadratic Assignment Problem or QAP). Based on the optimization results (global minima) for the Himmelblau's function, the points  and   are obtained with objective function . The optimal solution for the eight departmental arrangements is F, E, A, G for the bottom floor and H, D, C, B for the top floor, this arrangement produces an optimal total cost of 214. The simulated annealing method accepts an uphill move (worse move) by considering the probability, in this way we will not be trapped in the local minima position. These four search space variables  and  determine the performance of the simulated annealing method, we can adjust them according to the optimized case.https://ejournal.umm.ac.id/index.php/JEMMME/article/view/29556annealingoptimizationuphillprobabilisticmetaheuristic
spellingShingle Yosua Heru Irawan
Po Ting Lin
Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm
JEMMME (Journal of Energy, Mechanical, Material, and Manufacturing Engineering)
annealing
optimization
uphill
probabilistic
metaheuristic
title Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm
title_full Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm
title_fullStr Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm
title_full_unstemmed Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm
title_short Parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm
title_sort parametric optimization technique for continuous and combinational problems based on simulated annealing algorithm
topic annealing
optimization
uphill
probabilistic
metaheuristic
url https://ejournal.umm.ac.id/index.php/JEMMME/article/view/29556
work_keys_str_mv AT yosuaheruirawan parametricoptimizationtechniqueforcontinuousandcombinationalproblemsbasedonsimulatedannealingalgorithm
AT potinglin parametricoptimizationtechniqueforcontinuousandcombinationalproblemsbasedonsimulatedannealingalgorithm