Description:Bilevel problem formulations have received considerable attention as an approach to multidisciplinary optimization in engineering. We examine the analytical and computational properties of one such approach, collaborative optimization. The resulting system-level optimization problems suffer from inherent computational difficulties due to the bilevel nature of the method. Most notably, it is impossible to characterize and hence identify solutions of the system-level problems because the standard first-order conditions for solutions of constrained optimization problems do not hold. The analytical features of the system-level problem make it difficult to apply conventional nonlinear programming algorithms. Simple examples illustrate the analysis and the algorithmic consequences for optimization methods. We conclude with additional observations on the practical implications of the analytical and computational properties of collaborative optimization.Alexandrov, Natalia M. and Lewis, Robert MichaelLangley Research CenterPROBLEM SOLVING; MULTIDISCIPLINARY DESIGN OPTIMIZATION; SYSTEMS ENGINEERING; CONCURRENT ENGINEERING; NONLINEAR PROGRAMMING; ENGINEERING MANAGEMENT; DESIGN ANALYSISWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Analytical and Computational Aspects of Collaborative Optimization. To get started finding Analytical and Computational Aspects of Collaborative Optimization, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
32
Format
PDF, EPUB & Kindle Edition
Publisher
Createspace Independent Publishing Platform
Release
2018
ISBN
1720384657
Analytical and Computational Aspects of Collaborative Optimization
Description: Bilevel problem formulations have received considerable attention as an approach to multidisciplinary optimization in engineering. We examine the analytical and computational properties of one such approach, collaborative optimization. The resulting system-level optimization problems suffer from inherent computational difficulties due to the bilevel nature of the method. Most notably, it is impossible to characterize and hence identify solutions of the system-level problems because the standard first-order conditions for solutions of constrained optimization problems do not hold. The analytical features of the system-level problem make it difficult to apply conventional nonlinear programming algorithms. Simple examples illustrate the analysis and the algorithmic consequences for optimization methods. We conclude with additional observations on the practical implications of the analytical and computational properties of collaborative optimization.Alexandrov, Natalia M. and Lewis, Robert MichaelLangley Research CenterPROBLEM SOLVING; MULTIDISCIPLINARY DESIGN OPTIMIZATION; SYSTEMS ENGINEERING; CONCURRENT ENGINEERING; NONLINEAR PROGRAMMING; ENGINEERING MANAGEMENT; DESIGN ANALYSISWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Analytical and Computational Aspects of Collaborative Optimization. To get started finding Analytical and Computational Aspects of Collaborative Optimization, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.