Response surface approximation of Pareto optimal front in multi-objective optimization

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• 作者：Tushar Goel ; Rajkumar Vaidyanathan ; Raphael T. Haftka ; Wei Shyy ; Nestor V. Queipo and Kevin Tucker
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：2007
• 出版时间：1 January 2007
• 年：2007
• 卷：196
• 期：4-6
• 页码：879-893
• 全文大小：1063 K

文摘

A systematic approach is presented to approximate the Pareto optimal front (POF) by a response surface approximation. The data for the POF is obtained by multi-objective evolutionary algorithm. Improvements to address drift in the POF are also presented. The approximated POF can help visualize and quantify trade-offs among objectives to select compromise designs. The bounds of this approximate POF are obtained using multiple convex-hulls. The proposed approach is applied to study trade-offs among objectives of a rocket injector design problem where performance and life objectives compete. The POF is approximated using a quintic polynomial. The compromise region quantifies trade-offs among objectives.