A response surface based sequential approximate optimization using constraint-shifting analogy |
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Authors: | Pyokyoung Han Jongsoo Lee |
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Affiliation: | 1. Department of Mechanical Engineering, Seoul Yonsei University, Seoul, 120-749, Korea 2. School of Mechanical Engineering, Seoul Yonsei University, Seoul, 120-749, Korea
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Abstract: | When a traditional response surface method (RSM) is used as a meta-model for inequality constraint functions, an approximate optimal solution is sometimes actually infeasible in a case where it is active at the constraint boundary. The paper proposes a new RSM that ensures the constraint feasibility with respect to an approximate optimal solution. Constraint-shifting is suggested in order to secure the constraint feasibility during the sequential approximate optimization process. A central composite design is used as a tool for design of experiments. The proposed approach is verified through a mathematical function problem and engineering optimization problems to support the proposed strategies. |
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