The development of many-objective evolutionary algorithms has facilitated solving complex design optimization problems, that is, optimization problems with four or more competing objectives. The outcome of many-objective optimization is often a rich set of solutions, including the non-dominated solutions, with varying degrees of tradeoff amongst the objectives, herein referred to as the trade space. As the number of objectives increases, exploring the trade space and identifying acceptable solutions becomes less straightforward. Visual analytic techniques that transform a high-dimensional trade space into two-dimensional (2D) presentations have been developed to overcome the cognitive challenges associated with exploring high-dimensional trade spaces. Existing visual analytic techniques either identify acceptable solutions using algorithms that do not allow preferences to be formed and applied iteratively, or they rely on exhaustive sets of 2D representations to identify tradeoffs from which acceptable solutions are selected. In this paper, an index is introduced to quantify tradeoffs between any two objectives and integrated into a visual analytic technique. The tradeoff index enables efficient trade space exploration by quickly pinpointing those objectives that have tradeoffs for further exploration, thus reducing the number of 2D representations that must be generated and interpreted while allowing preferences to be formed and applied when selecting a solution. Furthermore, the proposed index is scalable to any number of objectives. Finally, to illustrate the utility of the proposed tradeoff index, a visual analytic technique that is based on this index is applied to a Pareto approximate solution set from a design optimization problem with ten objectives.
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ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 2–5, 2015
Boston, Massachusetts, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5708-3
PROCEEDINGS PAPER
Introduction of a Tradeoff Index for Efficient Trade Space Exploration
Mehmet Unal,
Mehmet Unal
The Pennsylvania State University, University Park, PA
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Gordon Warn,
Gordon Warn
The Pennsylvania State University, University Park, PA
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Timothy W. Simpson
Timothy W. Simpson
The Pennsylvania State University, University Park, PA
Search for other works by this author on:
Mehmet Unal
The Pennsylvania State University, University Park, PA
Gordon Warn
The Pennsylvania State University, University Park, PA
Timothy W. Simpson
The Pennsylvania State University, University Park, PA
Paper No:
DETC2015-46895, V02BT03A033; 12 pages
Published Online:
January 19, 2016
Citation
Unal, M, Warn, G, & Simpson, TW. "Introduction of a Tradeoff Index for Efficient Trade Space Exploration." Proceedings of the ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2B: 41st Design Automation Conference. Boston, Massachusetts, USA. August 2–5, 2015. V02BT03A033. ASME. https://doi.org/10.1115/DETC2015-46895
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