以可靠度為基礎的最佳化設計(Reliability-based design optimization, RBDO)將設計變數(參數)的變異性納入最佳化的設計流程。如此，所求得之最佳化設計將有更高的機會是在允許(feasible) 的設計空間。應用RBDO 最大缺點之一為其計算的費用高昂，這在實際的問題中常造成很大的困擾。本論文首先比較現行的幾種RBDO 方法的優缺點，如雙迴圈的RBDO(double-loop RBDO) ，依序最佳化與可靠度評估(Sequential Optimization and Reliability Assessment, SORA) 其次，針對SORA 提出改良(Efficient SORA，ESORA)，以克服高計算量的缺點。ESORA基本上利用單迴圈程序的優點，再配合一簡單的可靠度分析;達到符合設計目標及節省計算時間的效果。ESORA將以一懸臂梁的數值問題加以驗證其可行性。 Reliability-based design optimization (REDO) incorporates probabilistic analysis into optimization process so that an optimum design has a great chance of staying in the feasible design space when the inevitable variability in design variables/parameters is considered. One of the biggest drawbacks of applying REDO to practical problem is its high computational cost that is often impractical to industries. In search of the most suitable RBDO method for industrial applications, we first evaluated several existing REDO approaches in detail such as the double-loop REDO and the Sequential Optimization and Reliability Assessment (SORA). Then, based on the needs of practical problem and existing tools of optimization and reliability analysis, we proposed a more practical RBDO approach which is basically a single-loop process noted as ESORA here. Effectiveness of the ESORA is demonstrated using a simple cantilever beam problem.
九十六年電子計算機於土木水利工程應用研討會論文集=Proceedings of 2007 Conference on Computer Application in civil & Hydraulic Engineering，頁641-646