A Modified NM-PSO Method for Parameter Estimation Problems of Models
Ordinary differential equations usefully describe the behavior of a wide range of dynamic physical systems. The particle swarm optimization (PSO) method has been considered an effective tool for solving the engineering optimization problems for ordinary differential equations. This paper proposes a...
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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/10.1155/2012/530139 |
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| author | An Liu Erwie Zahara Ming-Ta Yang |
| author_facet | An Liu Erwie Zahara Ming-Ta Yang |
| author_sort | An Liu |
| collection | DOAJ |
| description | Ordinary differential equations usefully describe the behavior of a wide range of dynamic physical systems. The particle swarm optimization (PSO) method has been considered an effective tool for solving the engineering optimization problems for ordinary differential equations. This paper proposes a modified hybrid Nelder-Mead simplex search and particle swarm optimization (M-NM-PSO) method for solving parameter estimation problems. The M-NM-PSO method improves the efficiency of the PSO method and the conventional NM-PSO method by rapid convergence and better objective function value. Studies are made for three well-known cases, and the solutions of the M-NM-PSO method are compared with those by other methods published in the literature. The results demonstrate that the proposed M-NM-PSO method yields better estimation results than those obtained by the genetic algorithm, the modified genetic algorithm (real-coded GA (RCGA)), the conventional particle swarm optimization (PSO) method, and the conventional NM-PSO method. |
| format | Article |
| id | doaj-art-a27c93aca6534d7cae3920a64c5cc50f |
| 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-a27c93aca6534d7cae3920a64c5cc50f2025-02-03T01:20:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/530139530139A Modified NM-PSO Method for Parameter Estimation Problems of ModelsAn Liu0Erwie Zahara1Ming-Ta Yang2Department of Computer Science and Information Engineering, St. John’s University, No. 499, Section 4, Tam King Road, Tamsui District, New Taipei City, 25135, TaiwanDepartment of Marketing and Logistics Management, St. John’s University, No. 499, Section 4, Tam King Road, Tamsui District, New Taipei City 25135, TaiwanDepartment of Electrical Engineering, St. John’s University, No. 499, Section 4, Tam King Road, Tamsui District, New Taipei City 25135, TaiwanOrdinary differential equations usefully describe the behavior of a wide range of dynamic physical systems. The particle swarm optimization (PSO) method has been considered an effective tool for solving the engineering optimization problems for ordinary differential equations. This paper proposes a modified hybrid Nelder-Mead simplex search and particle swarm optimization (M-NM-PSO) method for solving parameter estimation problems. The M-NM-PSO method improves the efficiency of the PSO method and the conventional NM-PSO method by rapid convergence and better objective function value. Studies are made for three well-known cases, and the solutions of the M-NM-PSO method are compared with those by other methods published in the literature. The results demonstrate that the proposed M-NM-PSO method yields better estimation results than those obtained by the genetic algorithm, the modified genetic algorithm (real-coded GA (RCGA)), the conventional particle swarm optimization (PSO) method, and the conventional NM-PSO method.http://dx.doi.org/10.1155/2012/530139 |
| spellingShingle | An Liu Erwie Zahara Ming-Ta Yang A Modified NM-PSO Method for Parameter Estimation Problems of Models Journal of Applied Mathematics |
| title | A Modified NM-PSO Method for Parameter Estimation Problems of Models |
| title_full | A Modified NM-PSO Method for Parameter Estimation Problems of Models |
| title_fullStr | A Modified NM-PSO Method for Parameter Estimation Problems of Models |
| title_full_unstemmed | A Modified NM-PSO Method for Parameter Estimation Problems of Models |
| title_short | A Modified NM-PSO Method for Parameter Estimation Problems of Models |
| title_sort | modified nm pso method for parameter estimation problems of models |
| url | http://dx.doi.org/10.1155/2012/530139 |
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