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Generalized set-propagation operations over relations of more than three variables

Published online by Cambridge University Press:  27 February 2009

William W. Finch  and
Allen C. Ward
William W. Finch
Affiliation:
Mechanical Engineering and Applied Mechanics Department, 2250 G.G. Brown Lab, University of Michigan, Ann Arbor, Ml 48109–2125
Allen C. Ward
Affiliation:
Mechanical Engineering and Applied Mechanics Department, 2250 G.G. Brown Lab, University of Michigan, Ann Arbor, Ml 48109–2125
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Abstract

This paper extends previously developed generalized set propagation operations to work over relationships among an arbitrary number of variables, thereby expanding the domain of engineering design problems the theory can address. It then narrows its scope to a class of functions and sets useful to designers solving engineering problems: monotonic algebraic functions and closed intervals of real numbers, proving formulas for computing the operations under these conditions. The work is aimed at the automated optimal design of electro-mechanical systems from catalogs of parts; an electronic example illustrates.

Keywords

Design AutomationComponent SelectionCatalogsIntervalsConstraint Propagation
Type
Articles
Information
AI EDAM , Volume 9 , Issue 3 , June 1995 , pp. 231 - 242
Copyright
Copyright © Cambridge University Press 1995

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References

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