在考慮不同模型數量和分佈假設的情況下有多種分辨設計的準則被提出。然而如何找出在相對應準則下的最適模型分辨設計是一個難題。主要是因為此最適設計的數值搜尋方法中包含了極為複雜的最佳化問題結構。此篇論文的目標就是建立在不同準則下所對應的有效數值方法，最後並以對應的等價定理來驗證我們提出的數值方法所找到的答案是否為最適設計。

The problems of constructing optimal discrimination designs are considered. Given a discrimination design criterion, we transfer the corresponding design search problem as an optimization problem. Due to the complex optimization problems, we proposed efficient numerical search algorithms by combining several different optimization approaches. Finally the equivalence theorems are used to check the best designs identified by the proposed approaches are optimal or not.

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