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Finding the Best: Mathematical Optimization Based on Product and Process Requirements

Lüthen, Hendrik and Gramlich, Sebastian and Horn, Benjamin M. and Mattmann, Ilyas and Pfetsch, Marc E. and Roos, Michael and Ulbrich, Stefan and Wagner, Christian and Walter, Anna
Groche, Peter and Bruder, Enrico and Gramlich, Sebastian (eds.) :

Finding the Best: Mathematical Optimization Based on Product and Process Requirements.
[Online-Edition: https://link.springer.com/chapter/10.1007/978-3-319-52377-4_...]
In: Manufacturing Integrated Design. Springer, Cham , pp. 147-200. ISBN 978-3-319-52376-7
[Book Section] , (2017)

Official URL: https://link.springer.com/chapter/10.1007/978-3-319-52377-4_...

Abstract

The challenge of finding the best solution for a given problem plays a central role in many fields and disciplines. In mathematics, best solutions can be found by formulating and solving optimization problems. An optimization problem consists of an objective function, optimization variables, and optimization constraints, all of which define the solution space. Finding the optimal solution within this space means minimizing or maximizing the objective function by finding the optimal variables of the solution. Problems, such as geometry optimization of profiles (Hess and Ulbrich 2012), process control for stringer sheet forming (Bäcker et al. 2015) and optimization of the production sequence for branched sheet metal products (Günther and Martin 2006) are solved using mathematical optimization methods (Sects. 5.2 and 5.3). A variety of mathematical optimization methods is comprised within the field of engineering design optimization (EDO) (Roy et al. 2008).

Item Type: Book Section
Erschienen: 2017
Editors: Groche, Peter and Bruder, Enrico and Gramlich, Sebastian
Creators: Lüthen, Hendrik and Gramlich, Sebastian and Horn, Benjamin M. and Mattmann, Ilyas and Pfetsch, Marc E. and Roos, Michael and Ulbrich, Stefan and Wagner, Christian and Walter, Anna
Title: Finding the Best: Mathematical Optimization Based on Product and Process Requirements
Language: English
Abstract:

The challenge of finding the best solution for a given problem plays a central role in many fields and disciplines. In mathematics, best solutions can be found by formulating and solving optimization problems. An optimization problem consists of an objective function, optimization variables, and optimization constraints, all of which define the solution space. Finding the optimal solution within this space means minimizing or maximizing the objective function by finding the optimal variables of the solution. Problems, such as geometry optimization of profiles (Hess and Ulbrich 2012), process control for stringer sheet forming (Bäcker et al. 2015) and optimization of the production sequence for branched sheet metal products (Günther and Martin 2006) are solved using mathematical optimization methods (Sects. 5.2 and 5.3). A variety of mathematical optimization methods is comprised within the field of engineering design optimization (EDO) (Roy et al. 2008).

Title of Book: Manufacturing Integrated Design
Place of Publication: Cham
Publisher: Springer
Uncontrolled Keywords: requirements, product properties, integration manufacturing-initiated solutions, shape optimization, optimization of deep drawing processes, partitioning optimization of unrollings
Divisions: 11 Department of Materials and Earth Sciences
11 Department of Materials and Earth Sciences > Material Science
11 Department of Materials and Earth Sciences > Material Science > Physical Metallurgy
16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute for Product Development and Machine Elements (pmd)
Date Deposited: 26 Jun 2017 05:45
Official URL: https://link.springer.com/chapter/10.1007/978-3-319-52377-4_...
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