An Alternative Approach of Dual Response Surface Optimization Based on Penalty Function Method Article Swipe
Ishaq Abdullahi Baba
,
Habshah Midi
,
Sohel Rana
,
Gafurjan Ibragimov
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1155/2015/450131
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1155/2015/450131
The dual response surface for simultaneously optimizing the mean and variance models as separate functions suffers some deficiencies in handling the tradeoffs 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.
Related Topics
Concepts
Penalty method
Variance (accounting)
Mathematical optimization
Constraint (computer-aided design)
Mean squared error
Dual (grammatical number)
Function (biology)
Surface (topology)
Response surface methodology
Mathematics
Computer science
Algorithm
Statistics
Biology
Business
Literature
Art
Evolutionary biology
Geometry
Accounting
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1155/2015/450131
- https://downloads.hindawi.com/journals/mpe/2015/450131.pdf
- OA Status
- hybrid
- Cited By
- 10
- References
- 21
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2106952068
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2106952068Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1155/2015/450131Digital Object Identifier
- Title
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An Alternative Approach of Dual Response Surface Optimization Based on Penalty Function MethodWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2015Year of publication
- Publication date
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2015-01-01Full publication date if available
- Authors
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Ishaq Abdullahi Baba, Habshah Midi, Sohel Rana, Gafurjan IbragimovList of authors in order
- Landing page
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https://doi.org/10.1155/2015/450131Publisher landing page
- PDF URL
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https://downloads.hindawi.com/journals/mpe/2015/450131.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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hybridOpen access status per OpenAlex
- OA URL
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https://downloads.hindawi.com/journals/mpe/2015/450131.pdfDirect OA link when available
- Concepts
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Penalty method, Variance (accounting), Mathematical optimization, Constraint (computer-aided design), Mean squared error, Dual (grammatical number), Function (biology), Surface (topology), Response surface methodology, Mathematics, Computer science, Algorithm, Statistics, Biology, Business, Literature, Art, Evolutionary biology, Geometry, AccountingTop concepts (fields/topics) attached by OpenAlex
- Cited by
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10Total citation count in OpenAlex
- Citations by year (recent)
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2024: 1, 2023: 1, 2022: 3, 2021: 2, 2019: 2Per-year citation counts (last 5 years)
- References (count)
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21Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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