Integration of Functional Link Neural Networks into a Parameter Estimation Methodology

In the field of robust design, most estimation methods for output responses of input factors are based on the response surface methodology (RSM), which makes several assumptions regarding the input data. However, these assumptions may not consistently hold in real-world industrial problems. Recent s...

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Main Authors: Tuan-Ho Le, Mengyuan Tang, Jun Hyuk Jang, Hyeonae Jang, Sangmun Shin
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/19/9178
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author Tuan-Ho Le
Mengyuan Tang
Jun Hyuk Jang
Hyeonae Jang
Sangmun Shin
author_facet Tuan-Ho Le
Mengyuan Tang
Jun Hyuk Jang
Hyeonae Jang
Sangmun Shin
author_sort Tuan-Ho Le
collection DOAJ
description In the field of robust design, most estimation methods for output responses of input factors are based on the response surface methodology (RSM), which makes several assumptions regarding the input data. However, these assumptions may not consistently hold in real-world industrial problems. Recent studies using artificial neural networks (ANNs) indicate that input–output relationships can be effectively estimated without the assumptions mentioned above. The primary objective of this research is to generate a new, robust design dual-response estimation method based on ANNs. First, a second-order functional-link-NN-based robust design estimation approach has been proposed for the process mean and standard deviation (i.e., the dual-response model). Second, the optimal structure of the proposed network is defined based on the Bayesian information criterion. Finally, the estimated response functions of the proposed functional-link-NN-based estimation method are applied and compared with that obtained using the conventional least squares method (LSM)-based RSM. The numerical example results imply that the proposed functional-link-NN-based dual-response robust design estimation model can provide more effective optimal solutions than the LSM-based RSM, according to the expected quality loss criteria.
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spelling doaj.art-dbcbc98b90b643c99d8ddb24cbb3f83f2023-11-22T15:49:12ZengMDPI AGApplied Sciences2076-34172021-10-011119917810.3390/app11199178Integration of Functional Link Neural Networks into a Parameter Estimation MethodologyTuan-Ho Le0Mengyuan Tang1Jun Hyuk Jang2Hyeonae Jang3Sangmun Shin4Department of Electrical Engineering, Faculty of Engineering and Technology, Quy Nhon University, Quy Nhon 591417, VietnamDepartment of Industrial & Management Systems Engineering, Dong-A University, Busan 49315, KoreaMaritime Safety and Environmental Research Division, Korea Research Institute of Ships & Ocean Engineering, Daejeon 34103, KoreaDepartment of Technology Management Engineering, Jeonju University, Jeonju 55069, KoreaDepartment of Industrial & Management Systems Engineering, Dong-A University, Busan 49315, KoreaIn the field of robust design, most estimation methods for output responses of input factors are based on the response surface methodology (RSM), which makes several assumptions regarding the input data. However, these assumptions may not consistently hold in real-world industrial problems. Recent studies using artificial neural networks (ANNs) indicate that input–output relationships can be effectively estimated without the assumptions mentioned above. The primary objective of this research is to generate a new, robust design dual-response estimation method based on ANNs. First, a second-order functional-link-NN-based robust design estimation approach has been proposed for the process mean and standard deviation (i.e., the dual-response model). Second, the optimal structure of the proposed network is defined based on the Bayesian information criterion. Finally, the estimated response functions of the proposed functional-link-NN-based estimation method are applied and compared with that obtained using the conventional least squares method (LSM)-based RSM. The numerical example results imply that the proposed functional-link-NN-based dual-response robust design estimation model can provide more effective optimal solutions than the LSM-based RSM, according to the expected quality loss criteria.https://www.mdpi.com/2076-3417/11/19/9178response surface methodologyestimationfunctional link neural network
spellingShingle Tuan-Ho Le
Mengyuan Tang
Jun Hyuk Jang
Hyeonae Jang
Sangmun Shin
Integration of Functional Link Neural Networks into a Parameter Estimation Methodology
Applied Sciences
response surface methodology
estimation
functional link neural network
title Integration of Functional Link Neural Networks into a Parameter Estimation Methodology
title_full Integration of Functional Link Neural Networks into a Parameter Estimation Methodology
title_fullStr Integration of Functional Link Neural Networks into a Parameter Estimation Methodology
title_full_unstemmed Integration of Functional Link Neural Networks into a Parameter Estimation Methodology
title_short Integration of Functional Link Neural Networks into a Parameter Estimation Methodology
title_sort integration of functional link neural networks into a parameter estimation methodology
topic response surface methodology
estimation
functional link neural network
url https://www.mdpi.com/2076-3417/11/19/9178
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AT hyeonaejang integrationoffunctionallinkneuralnetworksintoaparameterestimationmethodology
AT sangmunshin integrationoffunctionallinkneuralnetworksintoaparameterestimationmethodology