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The optimisation of multivariate robust design criteria
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UNSPECIFIED (2002) The optimisation of multivariate robust design criteria. In: 5th Adaptive Computing in Design and Manufacture Conference (ACDM), UNIV EXETER, EXETER, ENGLAND, APR 17, 2002. Published in: ADAPTIVE COMPUTING IN DESIGN AND MANUFACTURE V pp. 285-294. ISBN 1-85233-605-6.
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Abstract
Traditional univariate robust design criterion are based on means, variances, mean squared error, signal to noise ratios and the like. Multivariate extensions of these criteria are first discussed. The starting point is multivariate mean squared error and its extensions to weighted combinations of multivariate dispersion and distance from target. For both the dispersion and distance the Euclidian metric can be changed, in the usual way, to favour particular directions or orientations in d dimensions. Notions of multivariate dispersion orderings are also introduced, based on special definitions of stochastic ordering. Definitions of Pareto boundaries that include both multivariate mean and dispersion are introduced and the implications for multivariate optimisation are discussed. Finally, an example highlights the problems faced in choosing between competing design solutions, and how the methods described can be applied to aid in the selection of optimal designs.
| Item Type: | Conference Item (UNSPECIFIED) | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software T Technology H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management |
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| Journal or Publication Title: | ADAPTIVE COMPUTING IN DESIGN AND MANUFACTURE V | ||||
| Publisher: | SPRINGER-VERLAG LONDON LTD | ||||
| ISBN: | 1-85233-605-6 | ||||
| Editor: | Parmee, IC | ||||
| Official Date: | 2002 | ||||
| Dates: |
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| Number of Pages: | 10 | ||||
| Page Range: | pp. 285-294 | ||||
| Publication Status: | Published | ||||
| Title of Event: | 5th Adaptive Computing in Design and Manufacture Conference (ACDM) | ||||
| Location of Event: | UNIV EXETER, EXETER, ENGLAND | ||||
| Date(s) of Event: | APR 17, 2002 |
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