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	Response Surface Desirability Function	トポロジー最適化（SIMP）
分野	信頼性工学	信頼性工学
系統	Process / pipeline	Process / pipeline
提唱年	1951	1988
提唱者	George Box and Kenneth Wilson	Martin Bendsoe and Noboru Kikuchi
種類	Optimization methodology	Generative design algorithm
原典	Box, G. E. P., & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, 13(1), 1-45.	Bendsoe, M. P., & Kikuchi, N. (1988). Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 71(2), 197-224.
別名	RSM, Desirability function, Multi-response optimization	SIMP, Topology design, Generative design, Density-based optimization
関連	4	4
概要	Response Surface Methodology (RSM) is a set of statistical and mathematical techniques for modeling and optimizing processes with multiple inputs (factors) and outputs (responses). The Desirability Function approach, introduced by Harrington (1965) and refined by Derringer and Suich (1980), extends RSM to solve multi-response optimization problems by combining competing objectives into a single index. This methodology is essential in product and process development where engineers must balance performance, cost, and reliability.	Topology Optimization is a computational method for distributing material optimally within a design space to maximize structural performance (strength, stiffness) while minimizing weight or cost. The Solid Isotropic Material with Penalization (SIMP) method, developed by Bendsoe and Kikuchi (1988), iteratively refines a material density distribution across the design domain using sensitivity analysis and gradient-based optimization. SIMP has revolutionized structural design in aerospace, automotive, and mechanical engineering by automating the generation of efficient structures.