A novel progressive response surface method for high-order polynomial metamodel

The response surface method (RSM) model as a general metamodel has already widely been applied to many practical problems. However, the majority of studies only focus on the 2nd-order terms RSM model instead of how to determine the high-order terms. This paper introduced a novel progressive response...

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Main Authors: Zheng, Guanchao, Mohd Ariffin, Mohd Khairol Anuar, Ahmad, Siti Azfanizam, Abdul Aziz, Nuraini, Wen, Xu
Format: Article
Published: Institute of Physics Publishing Ltd. 2022
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author Zheng, Guanchao
Mohd Ariffin, Mohd Khairol Anuar
Ahmad, Siti Azfanizam
Abdul Aziz, Nuraini
Wen, Xu
author_facet Zheng, Guanchao
Mohd Ariffin, Mohd Khairol Anuar
Ahmad, Siti Azfanizam
Abdul Aziz, Nuraini
Wen, Xu
author_sort Zheng, Guanchao
collection UPM
description The response surface method (RSM) model as a general metamodel has already widely been applied to many practical problems. However, the majority of studies only focus on the 2nd-order terms RSM model instead of how to determine the high-order terms. This paper introduced a novel progressive response surface method (NPRSM) combining optimal Latin hypercube design (OLHD), moving least square method (MLSM) and statistical test. This NPRSM model can decide the high-order terms by progressive procedure. Then three numerical function can be proposed to validate the accuracy and the approximated performance of the NPRSM model.
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institution Universiti Putra Malaysia
last_indexed 2024-09-25T03:36:27Z
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publisher Institute of Physics Publishing Ltd.
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spelling upm.eprints-1002682024-07-10T06:09:41Z http://psasir.upm.edu.my/id/eprint/100268/ A novel progressive response surface method for high-order polynomial metamodel Zheng, Guanchao Mohd Ariffin, Mohd Khairol Anuar Ahmad, Siti Azfanizam Abdul Aziz, Nuraini Wen, Xu The response surface method (RSM) model as a general metamodel has already widely been applied to many practical problems. However, the majority of studies only focus on the 2nd-order terms RSM model instead of how to determine the high-order terms. This paper introduced a novel progressive response surface method (NPRSM) combining optimal Latin hypercube design (OLHD), moving least square method (MLSM) and statistical test. This NPRSM model can decide the high-order terms by progressive procedure. Then three numerical function can be proposed to validate the accuracy and the approximated performance of the NPRSM model. Institute of Physics Publishing Ltd. 2022-04-19 Article PeerReviewed Zheng, Guanchao and Mohd Ariffin, Mohd Khairol Anuar and Ahmad, Siti Azfanizam and Abdul Aziz, Nuraini and Wen, Xu (2022) A novel progressive response surface method for high-order polynomial metamodel. Journal of Physics: Conference Series, 2224. art. no. 12045. pp. 1-12. ISSN 1742-6596 https://iopscience.iop.org/article/10.1088/1742-6596/2224/1/012045 10.1088/1742-6596/2224/1/012045
spellingShingle Zheng, Guanchao
Mohd Ariffin, Mohd Khairol Anuar
Ahmad, Siti Azfanizam
Abdul Aziz, Nuraini
Wen, Xu
A novel progressive response surface method for high-order polynomial metamodel
title A novel progressive response surface method for high-order polynomial metamodel
title_full A novel progressive response surface method for high-order polynomial metamodel
title_fullStr A novel progressive response surface method for high-order polynomial metamodel
title_full_unstemmed A novel progressive response surface method for high-order polynomial metamodel
title_short A novel progressive response surface method for high-order polynomial metamodel
title_sort novel progressive response surface method for high order polynomial metamodel
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