An alternative approach of dual response surface optimization based on penalty function method
The dual response surface for simultaneously optimizing the mean and variance models as separate functions suffers some deficiencies in handling the trade offs between bias and variance components of mean squared error (MSE). In this paper, the accuracy of the predicted response is given a serious a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/43700/ http://psasir.upm.edu.my/id/eprint/43700/1/An%20Alternative%20Approach%20of%20Dual%20Response%20Surface.pdf |
| _version_ | 1848850299261812736 |
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| author | Baba, Ishaq Midi, Habshah Rana, Sohel Ibragimov, Gafurjan |
| author_facet | Baba, Ishaq Midi, Habshah Rana, Sohel Ibragimov, Gafurjan |
| author_sort | Baba, Ishaq |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The dual response surface for simultaneously optimizing the mean and variance models as separate functions suffers some deficiencies in handling the trade offs between bias and variance components of mean squared error (MSE). In this paper, the accuracy of the predicted response is given a serious attention in the determination of the optimum setting conditions. We consider four different objective functions for the dual response surface optimization approach. The essence of the proposed method is to reduce the influence of variance of the predicted response by minimizing the variability relative to the quality characteristics of interest and at the same time achieving the specific target output. The basic idea is to convert the constraint optimization function into an unconstraint problem by adding the constraint to the original objective function. Numerical examples and simulations study are carried out to compare performance of the proposed method with some existing procedures. Numerical results show that the performance of the proposed method is encouraging and has exhibited clear improvement over the existing approaches. |
| first_indexed | 2025-11-15T10:04:05Z |
| format | Article |
| id | upm-43700 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:04:05Z |
| publishDate | 2015 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-437002016-08-08T08:59:02Z http://psasir.upm.edu.my/id/eprint/43700/ An alternative approach of dual response surface optimization based on penalty function method Baba, Ishaq Midi, Habshah Rana, Sohel Ibragimov, Gafurjan The dual response surface for simultaneously optimizing the mean and variance models as separate functions suffers some deficiencies in handling the trade offs between bias and variance components of mean squared error (MSE). In this paper, the accuracy of the predicted response is given a serious attention in the determination of the optimum setting conditions. We consider four different objective functions for the dual response surface optimization approach. The essence of the proposed method is to reduce the influence of variance of the predicted response by minimizing the variability relative to the quality characteristics of interest and at the same time achieving the specific target output. The basic idea is to convert the constraint optimization function into an unconstraint problem by adding the constraint to the original objective function. Numerical examples and simulations study are carried out to compare performance of the proposed method with some existing procedures. Numerical results show that the performance of the proposed method is encouraging and has exhibited clear improvement over the existing approaches. Hindawi Publishing Corporation 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/43700/1/An%20Alternative%20Approach%20of%20Dual%20Response%20Surface.pdf Baba, Ishaq and Midi, Habshah and Rana, Sohel and Ibragimov, Gafurjan (2015) An alternative approach of dual response surface optimization based on penalty function method. Mathematical Problems in Engineering, 2015. art. no. 45013. pp. 1-6. ISSN 1024-123X http://www.hindawi.com/journals/mpe/2015/450131/ 10.1155/2015/450131 |
| spellingShingle | Baba, Ishaq Midi, Habshah Rana, Sohel Ibragimov, Gafurjan An alternative approach of dual response surface optimization based on penalty function method |
| title | An alternative approach of dual response surface optimization based on penalty function method |
| title_full | An alternative approach of dual response surface optimization based on penalty function method |
| title_fullStr | An alternative approach of dual response surface optimization based on penalty function method |
| title_full_unstemmed | An alternative approach of dual response surface optimization based on penalty function method |
| title_short | An alternative approach of dual response surface optimization based on penalty function method |
| title_sort | alternative approach of dual response surface optimization based on penalty function method |
| url | http://psasir.upm.edu.my/id/eprint/43700/ http://psasir.upm.edu.my/id/eprint/43700/ http://psasir.upm.edu.my/id/eprint/43700/ http://psasir.upm.edu.my/id/eprint/43700/1/An%20Alternative%20Approach%20of%20Dual%20Response%20Surface.pdf |