Multi-Attribute Utility Analysis in Set-Based Conceptual Design
Author(s)
Paredis, Christiaan J. J.
Malak, Richard J., Jr.
Aughenbaugh, Jason Matthew
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Abstract
During conceptual design, engineers deal with incomplete product descriptions called
design concepts. Engineers must compare these concepts in order to move towards the
more desirable designs. However, comparisons are difficult because a single concept
associates with numerous possible final design specifications, and any meaningful
comparison of concepts must consider this range of possibilities. Consequently, the
performance of a concept can only be characterized imprecisely. While standard multi-attribute utility theory is an accepted framework for making preference-based decisions
between precisely characterized alternatives, it does not directly accommodate the
analysis of imprecisely characterized alternatives. By extending uncertainty
representations to model imprecision explicitly, it is possible to apply the principles of
utility theory to such problems. However, this can lead to situations of indeterminacy,
meaning that the decision maker is unable to identify a single concept as the most
preferred. Under a set-based perspective and approach to design, a designer can work
towards a single solution systematically despite indecision arising from imprecise
characterizations of design concepts. Existing work in set-based design primarily
focuses on feasibility conditions and single-attribute objectives, which are insufficient for
most design problems. In this article, we combine the framework of multi-attribute utility
theory, the perspective of set-based design, and the explicit mathematical representation
of imprecision into a single approach to conceptual design. Each of the component
theories are discussed, and their combined application developed. The approach is
illustrated using the conceptual design of a fixed-ratio power transmission as an
example. Additionally, important directions for future research are identified, with a
particular focus on the process of modeling abstract design concepts.
Sponsor
Georgia Institute of Technology
National Science Foundation (Grant #CMMI-0522116; #EEC-0540834)
National Science Foundation (Grant #CMMI-0522116; #EEC-0540834)
Date
2007
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