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Exploratory power of the harmony search algorithm : analysis and improvements for global numerical optimization
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Das, Swagatam, Mukhopadhyay, Arpan, Roy , Anwit, Abraham, Ajith and Panigrahi, Bijaya K. (2010) Exploratory power of the harmony search algorithm : analysis and improvements for global numerical optimization. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 41 (1). doi:10.1109/TSMCB.2010.2046035 ISSN 1083-4419.
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Official URL: https://doi.org/10.1109/TSMCB.2010.2046035
Abstract
The theoretical analysis of evolutionary algorithms is believed to be very important for understanding their internal search mechanism and thus to develop more efficient algorithms. This paper presents a simple mathematical analysis of the explorative search behavior of a recently developed metaheuristic algorithm called harmony search (HS). HS is a derivative-free real parameter optimization algorithm, and it draws inspiration from the musical improvisation process of searching for a perfect state of harmony. This paper analyzes the evolution of the population-variance over successive generations in HS and thereby draws some important conclusions regarding the explorative power of HS. A simple but very useful modification to the classical HS has been proposed in light of the mathematical analysis undertaken here. A comparison with the most recently published variants of HS and four other state-of-the-art optimization algorithms over 15 unconstrained and five constrained benchmark functions reflects the efficiency of the modified HS in terms of final accuracy, convergence speed, and robustness.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||||
| Journal or Publication Title: | IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) | ||||||
| Publisher: | IEEE | ||||||
| ISSN: | 1083-4419 | ||||||
| Official Date: | 26 April 2010 | ||||||
| Dates: |
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| Volume: | 41 | ||||||
| Number: | 1 | ||||||
| DOI: | 10.1109/TSMCB.2010.2046035 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 12 April 2019 |
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