講題: Nested Orthogonal Arrays of Parallel-Flats Type
講員: 蔡欣甫 逢甲大學統計系助理教授
時間：2014年11月17日星期一 下午 2：30 ~ 4：30
Recently, nested orthogonal arrays receive notable attention as stepping stones for planning computer simulations with variable levels of accuracy. In this talk, a new class of nested orthogonal arrays called the nested orthogonal arrays of parallel-flats type is introduced for addressing this new design issue. The sufficient and necessary condition for constructing the proposed designs is derived, and a new collection of nested orthogonal arrays is explicitly characterized. Moreover, a heuristic algorithm is used to search candidate designs with small to moderate run-sizes, and analytical methods are then developed for generating large designs through existing small ones. Based on these methods, a catalogue of candidate designs with various run-sizes is generated for practical applications.