Studies on a biobjective robust design optimization problem

The vast majority of the multiobjective robust design research reported in the literature has been performed under the assumption of multiple quality characteristics. This paper differs in that the process mean and variance are considered to be a biobjective problem since the primary goal of robust design is to determine the optimal robust design factor settings by minimizing performance variability and deviation from a target value of a product. A more comprehensive set of solutions is developed using a lexicographic weighted Tchebycheff approach to the biobjective robust design model rather than the approaches traditionally used in the dual-response approach to obtain efficient solutions. Numerical examples show that the proposed model is far more effective than the traditional weighted sum approach.[Supplementary materials are available for this article. Go to the publisher's online edition of IIE Transactions for the following free supplemental resource: Appendix with mathematical proof, figures, and tables.]