Interactive Multicriteria Optimization for Multiple-Response Product and Process Design

Abstract

We consider product and process design problems (hereafter collectively called process design problems) that address issues associated with the assessment of optimum levels for process inputs that influence multiple-process performance measures. While this problem context encompasses many possible applications, we focus primarily on multiple-response design problems that have been widely studied in the quality improvement and quality management literature. For such problems, several optimization criteria have been proposed, including maximization of process yield, maximization of process capability, minimization of process costs, etc. In this research, we propose a method that accounts for many of these criteria via a procedure that interacts with and relies on the preferences of a decision maker (DM). The interactive procedure evolves from the convergence of three areas of research: notably, the research in multiple-response design, the research in multicriteria optimization, and recent developments in global optimization. The proposed interactive method is illustrated and comparatively assessed via two well-known problems in multiple-response design. Although the interactive procedure is developed for application in multiple-response design, it is not limited to this problem context. The concepts and methods developed in this research have applicability to problems that can be characterized by process inputs and process performance, such as supply chain management and multidisciplinary design optimization.

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