How to solve a design centering problem
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186_2017_591_ReferencePDF.pdf
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396.06 KB
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Author(s)
Harwood, Stuart M
Barton, Paul I
Date Issued
May 2017
Journal
Mathematical Methods of Operations Research
Publisher
Springer-Verlag
Citation
Harwood, Stuart M. and Barton, Paul I. “How to Solve a Design Centering Problem.” Mathematical Methods of Operations Research 86, 1 (August 2017): 215–254 © 2017 Springer-Verlag Berlin Heidelberg
Version
Author's final manuscript
Abstract
This work considers the problem of design centering. Geometrically, this can be thought of as inscribing one shape in another. Theoretical approaches and reformulations from the literature are reviewed; many of these are inspired by the literature on generalized semi-infinite programming, a generalization of design centering. However, the motivation for this work relates more to engineering applications of robust design. Consequently, the focus is on specific forms of design spaces (inscribed shapes) and the case when the constraints of the problem may be implicitly defined, such as by the solution of a system of differential equations. This causes issues for many existing approaches, and so this work proposes two restriction-based approaches for solving robust design problems that are applicable to engineering problems. Another feasible-point method from the literature is investigated as well. The details of the numerical implementations of all these methods are discussed. The discussion of these implementations in the particular setting of robust design in engineering problems is new.
MIT Department
Massachusetts Institute of Technology. Department of Chemical Engineering
Massachusetts Institute of Technology. Process Systems Engineering Laboratory
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DOI of Published Version
https://doi.org/10.1007/s00186-017-0591-3
