有些產品的品質特性並不容易檢查，常因測量費用昂貴、檢驗耗時，或是產品具有破壞性、退化性等問題，因此往往不直接觀察表現變數，而是藉由觀察數個和表現變數有關的篩選變數，由它們來判定產品是否被接受，而此方法稱之為篩選程序，但也為了節省檢驗成本和檢驗時間，多站的循序篩選程序方法便因應而生。本研究主要是探討表現變數具有單邊規格及雙邊規格時的循序篩選程序，再以AOQ和TIC為標準來選出最佳的配置組合。 本篇論文提出一修正的循序篩選程序方法，和舊的篩選程序不同的地方在於不需要先決定每個篩選變數之權數，所以將原來加權兩次的程序簡化成只需加權一次，且同樣的對於 個篩選變數放置於 站的所有組合，利用變數變換、矩陣運算及運用多變量常態分配的特性發展出一站、二站和三站的一般性公式，並利用Fortran程式語言算出每一種配置組合的AOQ值和TIC值，以選出最佳的配置組合。此外，三站以上的篩選程序，由於受限於一般性公式積分維度的不易推導，所以改用蒙地卡羅的方法模擬。 最後，我們將利用數個實例，對修正後的循序篩選程序，與先前的方法做比較，結果驗證其表現並沒有比較差，有的甚至更好，所以我們建議使用者，應使用此修正後的循序篩選程序。 The quality characteristics of some products are not easy to check, in order to reduce the cost and time effort of inspection, a modified screening procedure which selects items whose performance variable is within a one-sided specification and two-sided specification based on observing the correlated screening variables according to the individual misclassification error(IME) is proposed. The criterion of average outgoing quality(AOQ) and total inspection cost(TIC) are still used to search for the optimal allocation. Unlike the original sequential screening procedure, the modified procedure does not need to decide the weights of every screening variable at the beginning stage. Therefore, the modified procedure is only weighting once instead of weighting twice. The generalized formulas for the single stage(SSP), double stage(DSP) and triple stage(TSP) sequential screening procedures are derived by the use of multivariate normal distribution and matrix operation. The Monte Carlo simulation method to simulate the desired probability values for any finite stage of sequential screening procedure, especially for more than three stages due to the complexity of obtaining exact results. Several example are used to demonstrate the single stage(SSP), double stage(DSP), triple stage(TSP), quadruple stage(QSP) and the fifth stage(FSP) by the computer program via Fortran IMSL to search for the best allocation. The results show that the modified sequential screening procedure performs similar to the original one and some are even better. Therefore, the modified sequential screening procedure is recommended for practical use.
