A progressive trigonometric mixed response surface method for double-loop interval optimization
For some highly nonlinear problems, the general second-order response surface method (RSM) cannot satisfy the accuracy requirement. To improve accuracy, the highest order number has to be determined in advance. Thus, a progressive trigonometric mixed response surface method (PTMRSM) was proposed to...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Multidisciplinary Digital Publishing Institute (MDPI)
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/106655/1/106655.pdf |
| _version_ | 1817927396918034432 |
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| author | Zheng, Guanchao Xu, Wen Mohd Ariffin, Mohd Khairol Anuar Abdul Aziz, Nuraini Ahmad, Siti Azfanizam |
| author_facet | Zheng, Guanchao Xu, Wen Mohd Ariffin, Mohd Khairol Anuar Abdul Aziz, Nuraini Ahmad, Siti Azfanizam |
| author_sort | Zheng, Guanchao |
| collection | UPM |
| description | For some highly nonlinear problems, the general second-order response surface method (RSM) cannot satisfy the accuracy requirement. To improve accuracy, the highest order number has to be determined in advance. Thus, a progressive trigonometric mixed response surface method (PTMRSM) was proposed to enhance the approximation accuracy and define the highest order number, rather than determining it in advance. After that, a double-loop interval optimization process could be constructed using this PTMRSM to save time while maintaining accuracy when compared to other experimental or computational methods. Unfortunately, the traditional double-loop interval optimization method had issues with the probability of reliable constraints. Then, for the construction of this double-loop interval optimization process, the modified reliable constraints were introduced. A more reliable and effective double-loop interval optimization was introduced for addressing practical engineering problems using the effective approximate method of the PTMRSM and the amended reliable constraints. Two numerical test functions and a composite submersible hull were performed to verify the accuracy and effectiveness of the PTMRSM and the double-loop interval optimization. |
| first_indexed | 2024-12-09T02:17:47Z |
| format | Article |
| id | upm.eprints-106655 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-12-09T02:17:47Z |
| publishDate | 2023 |
| publisher | Multidisciplinary Digital Publishing Institute (MDPI) |
| record_format | dspace |
| spelling | upm.eprints-1066552024-10-11T08:59:23Z http://psasir.upm.edu.my/id/eprint/106655/ A progressive trigonometric mixed response surface method for double-loop interval optimization Zheng, Guanchao Xu, Wen Mohd Ariffin, Mohd Khairol Anuar Abdul Aziz, Nuraini Ahmad, Siti Azfanizam For some highly nonlinear problems, the general second-order response surface method (RSM) cannot satisfy the accuracy requirement. To improve accuracy, the highest order number has to be determined in advance. Thus, a progressive trigonometric mixed response surface method (PTMRSM) was proposed to enhance the approximation accuracy and define the highest order number, rather than determining it in advance. After that, a double-loop interval optimization process could be constructed using this PTMRSM to save time while maintaining accuracy when compared to other experimental or computational methods. Unfortunately, the traditional double-loop interval optimization method had issues with the probability of reliable constraints. Then, for the construction of this double-loop interval optimization process, the modified reliable constraints were introduced. A more reliable and effective double-loop interval optimization was introduced for addressing practical engineering problems using the effective approximate method of the PTMRSM and the amended reliable constraints. Two numerical test functions and a composite submersible hull were performed to verify the accuracy and effectiveness of the PTMRSM and the double-loop interval optimization. Multidisciplinary Digital Publishing Institute (MDPI) 2023-07-10 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/106655/1/106655.pdf Zheng, Guanchao and Xu, Wen and Mohd Ariffin, Mohd Khairol Anuar and Abdul Aziz, Nuraini and Ahmad, Siti Azfanizam (2023) A progressive trigonometric mixed response surface method for double-loop interval optimization. Journal of Marine Science and Engineering, 11 (7). art. no. 1394. pp. 1-29. ISSN 2077-1312 https://www.mdpi.com/2077-1312/11/7/1394 10.3390/jmse11071394 |
| spellingShingle | Zheng, Guanchao Xu, Wen Mohd Ariffin, Mohd Khairol Anuar Abdul Aziz, Nuraini Ahmad, Siti Azfanizam A progressive trigonometric mixed response surface method for double-loop interval optimization |
| title | A progressive trigonometric mixed response surface method for double-loop interval optimization |
| title_full | A progressive trigonometric mixed response surface method for double-loop interval optimization |
| title_fullStr | A progressive trigonometric mixed response surface method for double-loop interval optimization |
| title_full_unstemmed | A progressive trigonometric mixed response surface method for double-loop interval optimization |
| title_short | A progressive trigonometric mixed response surface method for double-loop interval optimization |
| title_sort | progressive trigonometric mixed response surface method for double loop interval optimization |
| url | http://psasir.upm.edu.my/id/eprint/106655/1/106655.pdf |
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