The problem of robust design is treated as a bi-objective optimization problem in which the performance mean and variation are optimized and minimized, respectively. A method for deriving a utility function as a local approximation of the efficient frontier is presented and investigated at different locations of candidate solutions, with different ranges of interest, and for efficient frontiers with both convex and nonconvex behaviors. As an integral part of the interactive robust design procedure earlier proposed by the authors, the method assists designers in adjusting the preference structure and exploring alternative efficient robust design solutions. It eliminates the need of solving the bi-objective problem repeatedly using new preference structures, which is often computationally expensive. Though demonstrated for robust design problems, the principle is also applicable to any bi-objective optimization problem. [S1050-0472(00)00702-9]
Local Approximation of the Efficient Frontier in Robust Design
Contributed by the Design Theory and Methodology Committee for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received Jun. 1999; revised Mar. 2000. Associate Technical Editor: J. Cagan.
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Zhang , J., Wiecek , M. M., and Chen, W. (March 1, 2000). "Local Approximation of the Efficient Frontier in Robust Design ." ASME. J. Mech. Des. June 2000; 122(2): 232–236. https://doi.org/10.1115/1.533571
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