Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated Annealing

The aim of this paper is to elaborate the performance of Simulated Annealing (SA) algorithm for solving traveling salesmen problems. In this paper, SA algorithm is modified by using the interaction between outer and inner loop of algorithm. This algorithm produces low standard deviation and fast com...

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Main Authors: I Iryanto, Putu Harry Gunawan
Format: Article
Language:English
Published: Ikatan Ahli Informatika Indonesia 2021-12-01
Series:Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi)
Subjects:
Online Access:http://jurnal.iaii.or.id/index.php/RESTI/article/view/3549
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author I Iryanto
Putu Harry Gunawan
author_facet I Iryanto
Putu Harry Gunawan
author_sort I Iryanto
collection DOAJ
description The aim of this paper is to elaborate the performance of Simulated Annealing (SA) algorithm for solving traveling salesmen problems. In this paper, SA algorithm is modified by using the interaction between outer and inner loop of algorithm. This algorithm produces low standard deviation and fast computational time compared with benchmark algorithms from several research papers. Here SA uses a certain probability as indicator for finding the best and worse solution. Moreover, the strategy of SA as cooling to temperature ratio is still given. Thirteen benchmark cases and thirteen square grid symmetric TSP are used to see the performance of the SA algorithm. It is shown that the SA algorithm has promising results in finding the best solution of the benchmark cases and the squared grid TSP with relative error 0 - 7.06% and 0 – 3.31%, respectively. Further, the SA algorithm also has good performance compared with the well-known metaheuristic algorithms in references.
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spelling doaj.art-c9f7415b7c0441e8ad70a2e93d343e592024-02-02T19:04:44ZengIkatan Ahli Informatika IndonesiaJurnal RESTI (Rekayasa Sistem dan Teknologi Informasi)2580-07602021-12-01561090109810.29207/resti.v5i6.35493549Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated AnnealingI Iryanto0Putu Harry GunawanPoliteknik Negeri IndramayuThe aim of this paper is to elaborate the performance of Simulated Annealing (SA) algorithm for solving traveling salesmen problems. In this paper, SA algorithm is modified by using the interaction between outer and inner loop of algorithm. This algorithm produces low standard deviation and fast computational time compared with benchmark algorithms from several research papers. Here SA uses a certain probability as indicator for finding the best and worse solution. Moreover, the strategy of SA as cooling to temperature ratio is still given. Thirteen benchmark cases and thirteen square grid symmetric TSP are used to see the performance of the SA algorithm. It is shown that the SA algorithm has promising results in finding the best solution of the benchmark cases and the squared grid TSP with relative error 0 - 7.06% and 0 – 3.31%, respectively. Further, the SA algorithm also has good performance compared with the well-known metaheuristic algorithms in references.http://jurnal.iaii.or.id/index.php/RESTI/article/view/3549simulated annealing, traveling salesman problem, symmetric tsp, square grid tsp
spellingShingle I Iryanto
Putu Harry Gunawan
Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated Annealing
Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi)
simulated annealing, traveling salesman problem, symmetric tsp, square grid tsp
title Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated Annealing
title_full Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated Annealing
title_fullStr Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated Annealing
title_full_unstemmed Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated Annealing
title_short Numerical Approach of Symmetric Traveling Salesman Problem Using Simulated Annealing
title_sort numerical approach of symmetric traveling salesman problem using simulated annealing
topic simulated annealing, traveling salesman problem, symmetric tsp, square grid tsp
url http://jurnal.iaii.or.id/index.php/RESTI/article/view/3549
work_keys_str_mv AT iiryanto numericalapproachofsymmetrictravelingsalesmanproblemusingsimulatedannealing
AT putuharrygunawan numericalapproachofsymmetrictravelingsalesmanproblemusingsimulatedannealing