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.
| Original language | English |
|---|---|
| Pages (from-to) | 2903-2912 |
| Number of pages | 10 |
| Journal | Journal of Mechanical Science and Technology |
| Volume | 23 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2009 Nov 1 |
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All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
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A response surface based sequential approximate optimization using constraint-shifting analogy. / Han, Pyokyoung; Lee, Jongsoo.
In: Journal of Mechanical Science and Technology, Vol. 23, No. 11, 01.11.2009, p. 2903-2912.Research output: Contribution to journal › Article
TY - JOUR
T1 - A response surface based sequential approximate optimization using constraint-shifting analogy
AU - Han, Pyokyoung
AU - Lee, Jongsoo
PY - 2009/11/1
Y1 - 2009/11/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=74549180453&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=74549180453&partnerID=8YFLogxK
U2 - 10.1007/s12206-009-0806-5
DO - 10.1007/s12206-009-0806-5
M3 - Article
AN - SCOPUS:74549180453
VL - 23
SP - 2903
EP - 2912
JO - KSME Journal
JF - KSME Journal
SN - 1738-494X
IS - 11
ER -