Local approximation of the efficient frontier in robust design

Jinhuan Zhang, Margaret M. Wiecek, Wei Chen

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)232-236
Number of pages5
JournalJournal of Mechanical Design, Transactions of the ASME
Issue number2
StatePublished - Jun 2000

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design


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