Interval-based global optimization in engineering using model reformulation and constraint propagation
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| Title: | Interval-based global optimization in engineering using model reformulation and constraint propagation |
|---|---|
| Authors: | Mazhoud, Issam1 issam.mazhoud@grenoble-inp.fr, Hadj-Hamou, Khaled1 khaled.hadj-hamou@grenoble-inp.fr, Bigeon, Jean1 jean.bigeon@grenoble-inp.fr, Remy, Ghislain2 ghislain.remy@lgep.supelec.fr |
| Source: | Engineering Applications of Artificial Intelligence. Mar2012, Vol. 25 Issue 2, p404-417. 14p. |
| Subjects: | Mathematical optimization, Mathematical reformulation, Product design, Engineering design, Problem solving, Mathematical models, Algorithms, Actuators |
| Abstract: | Abstract: This paper deals with the preliminary design problem when the product is modeled as an analytic model. The analytic models based method aims to use mathematical equations to address both multi-physic and economic characteristics of a product. The proposed approach is to convert the preliminary design problem into a global constrained optimization problem. The objective is to develop powerful optimization methods enough to handle complex analytical models. We propose to adapt an approach to solve this problem based on interval analysis, constraint propagation and model reformulation. In order to understand the optimization algorithm used for engineering design problems, some basic definitions and properties of interval analysis are introduced. Then, the basic optimization algorithms for both unconstrained and constrained problems are introduced and illustrated. The next section introduces the reformulation technique as main accelerating device. An application of the reformulation device and its global optimization algorithm on the optimal design of electrical actuators is presented. [Copyright &y& Elsevier] |
| Copyright of Engineering Applications of Artificial Intelligence is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 70388173 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Interval-based global optimization in engineering using model reformulation and constraint propagation – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mazhoud%2C+Issam%22">Mazhoud, Issam</searchLink><relatesTo>1</relatesTo><i> issam.mazhoud@grenoble-inp.fr</i><br /><searchLink fieldCode="AR" term="%22Hadj-Hamou%2C+Khaled%22">Hadj-Hamou, Khaled</searchLink><relatesTo>1</relatesTo><i> khaled.hadj-hamou@grenoble-inp.fr</i><br /><searchLink fieldCode="AR" term="%22Bigeon%2C+Jean%22">Bigeon, Jean</searchLink><relatesTo>1</relatesTo><i> jean.bigeon@grenoble-inp.fr</i><br /><searchLink fieldCode="AR" term="%22Remy%2C+Ghislain%22">Remy, Ghislain</searchLink><relatesTo>2</relatesTo><i> ghislain.remy@lgep.supelec.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Engineering+Applications+of+Artificial+Intelligence%22">Engineering Applications of Artificial Intelligence</searchLink>. Mar2012, Vol. 25 Issue 2, p404-417. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+reformulation%22">Mathematical reformulation</searchLink><br /><searchLink fieldCode="DE" term="%22Product+design%22">Product design</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+design%22">Engineering design</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+solving%22">Problem solving</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Actuators%22">Actuators</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: This paper deals with the preliminary design problem when the product is modeled as an analytic model. The analytic models based method aims to use mathematical equations to address both multi-physic and economic characteristics of a product. The proposed approach is to convert the preliminary design problem into a global constrained optimization problem. The objective is to develop powerful optimization methods enough to handle complex analytical models. We propose to adapt an approach to solve this problem based on interval analysis, constraint propagation and model reformulation. In order to understand the optimization algorithm used for engineering design problems, some basic definitions and properties of interval analysis are introduced. Then, the basic optimization algorithms for both unconstrained and constrained problems are introduced and illustrated. The next section introduces the reformulation technique as main accelerating device. An application of the reformulation device and its global optimization algorithm on the optimal design of electrical actuators is presented. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Engineering Applications of Artificial Intelligence is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.engappai.2011.10.010 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 404 Subjects: – SubjectFull: Mathematical optimization Type: general – SubjectFull: Mathematical reformulation Type: general – SubjectFull: Product design Type: general – SubjectFull: Engineering design Type: general – SubjectFull: Problem solving Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Actuators Type: general Titles: – TitleFull: Interval-based global optimization in engineering using model reformulation and constraint propagation Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mazhoud, Issam – PersonEntity: Name: NameFull: Hadj-Hamou, Khaled – PersonEntity: Name: NameFull: Bigeon, Jean – PersonEntity: Name: NameFull: Remy, Ghislain IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2012 Type: published Y: 2012 Identifiers: – Type: issn-print Value: 09521976 Numbering: – Type: volume Value: 25 – Type: issue Value: 2 Titles: – TitleFull: Engineering Applications of Artificial Intelligence Type: main |
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