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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]
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Database: Engineering Source
Description
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]
ISSN:09521976
DOI:10.1016/j.engappai.2011.10.010