以可靠度的拓璞最佳化(RBTO)，利用可靠度與最佳化須要考慮設計變數的隨機性。這種方法本質上是一種迭代的過程的可靠度最佳化。本研究利用平行計算技術，加快了計算的時間，其中平行計算最主要用於兩個方面，一為有限元素分析中，勁度矩陣合成的部分，另一則為可靠度分析的平行計算。在本文中所採用的可靠度分析是平均值法(MV)，然而在最佳化的過程當中所採用的為移動漸近線法(MMA)。藉由這樣的研究方法，以兩個例子去證明其準確度與效率，在第一個例子中僅考慮元件可靠度，在第二個例子中加以考慮系統可靠度。在最終的結果顯示，本研究之方法能在短時間之內提供一個可靠度拓樸最佳化，然而須要去做更多的研究，以提升效率。

Reliability-based topology optimization (RBTO) incorporates reliability analysis with optimization to take the randomness in the design parameters into account. This strategy is inherently a double-loop procedure due to the probabilistic constraints in optimization. This study used the parallel computing technique to speed up the calculation time. The parallel computing is mainly applied to two areas: the assembly of the global stiffness and the reliability analysis. The reliability analysis used here is the mean value method (MV) and the optimizer adopted here is the Method of Moving Asymptotes (MMA). The accuracy and efficiency of the proposed approach are investigated through two numerical examples. A component reliability is considered in the first numerical example, while in the second example, a system reliability is considered. Results indicated that the proposed algorithm is able to deliver an optimal topology with predefined reliability in less time. However, more study is needed to improve the efficiency.

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