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Probabilistic analytical target cascading: A moment matching formulation for multilevel optimization under uncertainty
Department of Mechanical Engineering, Northwestern University, Evanston, IL.
Department of Mechanical Engineering, Northwestern University, Evanston, IL.
Department of Mechanical Engineering, University of Michigan.
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2006 (English)In: Journal of mechanical design (1990), ISSN 1050-0472, E-ISSN 1528-9001, Vol. 128, no 4, p. 991-1000Article in journal (Refereed) Published
Abstract [en]

Analytical target cascading (ATC) is a methodology for hierarchical multilevel system design optimization. In previous work, the deterministic ATC formulation was extended to account for random variables represented by expected values to be matched among subproblems and thus ensure design consistency. In this work, the probabilistic formulation is augmented to allow the introduction and matching of additional probabilistic characteristics. A particular probabilistic analytical target cascading (PATC) formulation is proposed that matches the first two moments of interrelated responses and linking variables. Several implementation issues are addressed, including representation of probabilistic design targets, matching responses and linking variables under uncertainty, and coordination strategies. Analytical and simulation-based optimal design examples are used to illustrate the new formulation. The accuracy of the proposed PATC formulation is demonstrated by comparing PATC results to those obtained using a probabilistic all-in-one formulation.

Place, publisher, year, edition, pages
2006. Vol. 128, no 4, p. 991-1000
Identifiers
URN: urn:nbn:se:ltu:diva-6635DOI: 10.1115/1.2205870Local ID: 4e1524d1-96e5-44a2-921c-d93c7e79c2b4OAI: oai:DiVA.org:ltu-6635DiVA: diva2:979521
Note
Upprättat; 2011; 20110330 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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