Pyokyoung Han/Jongsoo Lee
The Journal of Mechanical Science and Technology, vol. 23, no. 11, pp.2903-2912, 2009

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.

Keyword : Sequential approximate optimization; Response surface method; Constraint feasibility; Constraint-shifting