Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation Operator
Harmony search (HS) method is an emerging metaheuristic optimization algorithm. In this paper, an improved harmony search method based on differential mutation operator (IHSDE) is proposed to deal with the optimization problems. Since the population diversity plays an important role in the behavior...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/147950 |
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| _version_ | 1832550359955931136 |
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| author | Longquan Yong Sanyang Liu Jianke Zhang Quanxi Feng |
| author_facet | Longquan Yong Sanyang Liu Jianke Zhang Quanxi Feng |
| author_sort | Longquan Yong |
| collection | DOAJ |
| description | Harmony search (HS) method is an emerging metaheuristic optimization algorithm. In this paper, an improved harmony search method based on differential mutation operator (IHSDE) is proposed to deal with the optimization problems. Since the population diversity plays an important role in the behavior of evolution algorithm, the aim of this paper is to calculate the expected population mean and variance of IHSDE from theoretical viewpoint. Numerical results, compared with the HSDE, NGHS, show that the IHSDE method has good convergence property over a test-suite of well-known benchmark functions. |
| format | Article |
| id | doaj-art-8021d6e81c58459ebe558811e4ab9f20 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8021d6e81c58459ebe558811e4ab9f202025-02-03T06:07:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/147950147950Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation OperatorLongquan Yong0Sanyang Liu1Jianke Zhang2Quanxi Feng3Department of Applied Mathematics, Xidian University, Xi’an 710071, ChinaDepartment of Applied Mathematics, Xidian University, Xi’an 710071, ChinaDepartment of Applied Mathematics, Xidian University, Xi’an 710071, ChinaDepartment of Applied Mathematics, Xidian University, Xi’an 710071, ChinaHarmony search (HS) method is an emerging metaheuristic optimization algorithm. In this paper, an improved harmony search method based on differential mutation operator (IHSDE) is proposed to deal with the optimization problems. Since the population diversity plays an important role in the behavior of evolution algorithm, the aim of this paper is to calculate the expected population mean and variance of IHSDE from theoretical viewpoint. Numerical results, compared with the HSDE, NGHS, show that the IHSDE method has good convergence property over a test-suite of well-known benchmark functions.http://dx.doi.org/10.1155/2012/147950 |
| spellingShingle | Longquan Yong Sanyang Liu Jianke Zhang Quanxi Feng Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation Operator Journal of Applied Mathematics |
| title | Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation Operator |
| title_full | Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation Operator |
| title_fullStr | Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation Operator |
| title_full_unstemmed | Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation Operator |
| title_short | Theoretical and Empirical Analyses of an Improved Harmony Search Algorithm Based on Differential Mutation Operator |
| title_sort | theoretical and empirical analyses of an improved harmony search algorithm based on differential mutation operator |
| url | http://dx.doi.org/10.1155/2012/147950 |
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