Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKP

In this paper we propose an improved Harmony Search (HS) version inspired in the tonal variation of jazz musical improvisation. To evaluate our approach we considered two well-known problems, a Constraint Satisfaction Problem: Sudoku, and a Constraint Satisfaction Optimisation Problem: the Multidime...

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Main Authors: Nicolás Rojas-Morales, María-Cristina Riff Rojas
Format: Article
Language:English
Published: Taylor & Francis Group 2018-07-01
Series:Connection Science
Subjects:
Online Access:http://dx.doi.org/10.1080/09540091.2017.1357680
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author Nicolás Rojas-Morales
María-Cristina Riff Rojas
author_facet Nicolás Rojas-Morales
María-Cristina Riff Rojas
author_sort Nicolás Rojas-Morales
collection DOAJ
description In this paper we propose an improved Harmony Search (HS) version inspired in the tonal variation of jazz musical improvisation. To evaluate our approach we considered two well-known problems, a Constraint Satisfaction Problem: Sudoku, and a Constraint Satisfaction Optimisation Problem: the Multidimensional Knapsack Problem (MKP). For each problem, we considered an existing baseline HS algorithm to implement our technique: the HS for Sudoku puzzles and, the Adaptive Binary HS for the MKP. The experiments showed that including tonal variation allows HS algorithms to find better quality solutions in both problems.
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spelling doaj.art-aa91f6388089469d824d380a553ab6ae2023-09-15T10:47:58ZengTaylor & Francis GroupConnection Science0954-00911360-04942018-07-0130324527110.1080/09540091.2017.13576801357680Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKPNicolás Rojas-Morales0María-Cristina Riff Rojas1Universidad Técnica Federico Santa MaríaUniversidad Técnica Federico Santa MaríaIn this paper we propose an improved Harmony Search (HS) version inspired in the tonal variation of jazz musical improvisation. To evaluate our approach we considered two well-known problems, a Constraint Satisfaction Problem: Sudoku, and a Constraint Satisfaction Optimisation Problem: the Multidimensional Knapsack Problem (MKP). For each problem, we considered an existing baseline HS algorithm to implement our technique: the HS for Sudoku puzzles and, the Adaptive Binary HS for the MKP. The experiments showed that including tonal variation allows HS algorithms to find better quality solutions in both problems.http://dx.doi.org/10.1080/09540091.2017.1357680harmony searchsudokumetaheuristicsentropy
spellingShingle Nicolás Rojas-Morales
María-Cristina Riff Rojas
Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKP
Connection Science
harmony search
sudoku
metaheuristics
entropy
title Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKP
title_full Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKP
title_fullStr Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKP
title_full_unstemmed Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKP
title_short Improving harmony search algorithms by using tonal variation: the case of Sudoku and MKP
title_sort improving harmony search algorithms by using tonal variation the case of sudoku and mkp
topic harmony search
sudoku
metaheuristics
entropy
url http://dx.doi.org/10.1080/09540091.2017.1357680
work_keys_str_mv AT nicolasrojasmorales improvingharmonysearchalgorithmsbyusingtonalvariationthecaseofsudokuandmkp
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