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Type of Document Thesis Author Yang, Ying Author's Email Address yy06@fsu.edu URN etd-11102008-234516 Title Multiple Criteria Third-order Response Surface Design and Comparison Degree Master of Science Department Industrial and Manufacturing Engineering, Department of Advisory Committee
Advisor Name Title Joseph Pignatiello Committee Chair Arda Vanli Committee Member Samuel Awoniyi Committee Member Keywords
- Third-Order Response Surface Design
- Mutiple Objective Optimization
- Evolutionary Algorithm
Date of Defense 2008-10-31 Availability unrestricted Abstract This research focuses on the third-order response surface designs for global optimization and mapping of systems or processes. The current second-order response surface designs may not be accurate and efficient enough to describe the true model of the systems or processes in terms of multiple design criteria. This research addresses the needs for third-order designs by identifying corresponding inaccuracy issues and attempts to create efficient designs by investigating different ways of building third-order models.
This research proposes functionality as a new design property to guide the comparison of practicability and ease of use of different designs. Furthermore, it looks into generating multiple criteria optimal third-order designs for continuous cuboidal region using NSGA-II algorithm. IV-optimality and space filling have been selected as the two primary objectives for this multiple criteria third-order design problem. This research shows that the NSGA-II does not provide the results as expected for third-order designs, and nested faced centered design is the best overall design in IV-optimality, space filling, orthogonality and functionality. A Pareto-optimal front is given to satisfy different practitioners’ needs.
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