A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions
Metamodels have been widely used in engineering design to facilitate analysis and optimization of complex systems that involve computationally expensive simulation programs. The accuracy of metamodels is strongly affected by the sampling methods. In this paper, a new sequential optimization sampling...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/192862 |
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| _version_ | 1832564924009676800 |
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| author | Guang Pan Pengcheng Ye Peng Wang Zhidong Yang |
| author_facet | Guang Pan Pengcheng Ye Peng Wang Zhidong Yang |
| author_sort | Guang Pan |
| collection | DOAJ |
| description | Metamodels have been widely used in engineering design to facilitate analysis and optimization of complex systems that involve computationally expensive simulation programs. The accuracy of metamodels is strongly affected by the sampling methods. In this paper, a new sequential optimization sampling method is proposed. Based on the new sampling method, metamodels can be constructed repeatedly through the addition of sampling points, namely, extrema points of metamodels and minimum points of density function. Afterwards, the more accurate metamodels would be constructed by the procedure above. The validity and effectiveness of proposed sampling method are examined by studying typical numerical examples. |
| format | Article |
| id | doaj-art-ecdec1cb46154b21b17502e7c8f5c040 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ecdec1cb46154b21b17502e7c8f5c0402025-02-03T01:09:58ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/192862192862A Sequential Optimization Sampling Method for Metamodels with Radial Basis FunctionsGuang Pan0Pengcheng Ye1Peng Wang2Zhidong Yang3School of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Marine Science and Technology, Northwestern Polytechnical University, Xi’an 710072, ChinaMetamodels have been widely used in engineering design to facilitate analysis and optimization of complex systems that involve computationally expensive simulation programs. The accuracy of metamodels is strongly affected by the sampling methods. In this paper, a new sequential optimization sampling method is proposed. Based on the new sampling method, metamodels can be constructed repeatedly through the addition of sampling points, namely, extrema points of metamodels and minimum points of density function. Afterwards, the more accurate metamodels would be constructed by the procedure above. The validity and effectiveness of proposed sampling method are examined by studying typical numerical examples.http://dx.doi.org/10.1155/2014/192862 |
| spellingShingle | Guang Pan Pengcheng Ye Peng Wang Zhidong Yang A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions The Scientific World Journal |
| title | A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions |
| title_full | A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions |
| title_fullStr | A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions |
| title_full_unstemmed | A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions |
| title_short | A Sequential Optimization Sampling Method for Metamodels with Radial Basis Functions |
| title_sort | sequential optimization sampling method for metamodels with radial basis functions |
| url | http://dx.doi.org/10.1155/2014/192862 |
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