مقایسهٔ روش‌ها

	روش قابلیت اطمینان مرتبه اول (FORM)	روش سطح پاسخ با بهینه‌سازی تابع مطلوبیت
حوزه	مهندسی قابلیت اطمینان	مهندسی قابلیت اطمینان
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1969	1951
پدیدآور	Allin Cornell	George Box and Kenneth Wilson
نوع	Reliability analysis method	Optimization methodology
منبع بنیادین	Cornell, C. A. (1969). A probability-based structural code. Journal of the American Concrete Institute, 66(12), 974-985.	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.
نام‌های دیگر	FORM, First-order second-moment method	RSM, Desirability function, Multi-response optimization
مرتبط	4	4
خلاصه	The First-Order Reliability Method (FORM) is a probabilistic technique for estimating the probability of structural failure given uncertain input parameters. Developed by Allin Cornell in 1969 and refined by Hasofer and Lind in 1974, FORM provides a computationally efficient approximation to the true failure probability by linearizing the limit-state function at the most probable failure point. It has become the cornerstone of modern structural reliability analysis and risk-based design.	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.