演講公告
清華大學、交通大學
統 計 學 研 究 所
專 題 演 講
題 目: Design and Analysis of Computer Experiments with Branching and Nested
Factors
主講人: Dr. Ying Hung
School of Industrial and Systems Engineering
Georgia Institute of Technology
時 間: 97年6月20日（星期五）10：40 - 11：30
（上午10：20-10：40茶會於統計所821室舉行）
地 點: 清大綜合三館837室
Abstract
The use of computer modeling and experiments is becoming popular and widely
applied to various areas, such as biology, environmental science, and
engineering. This research focuses on problems in computer experiments with
branching and nested factors.
In many experiments, some of the factors exist only within the level of
another factor. Such factors are often called nested factors. A factor within
which other factors are nested is called a branching factor. For example,
suppose we want to experiment with two processing methods. The factors
involved in these two methods can be different. Thus, in this experiment the
processing method is a branching factor and the other factors are nested
within the branching factor. Design and analysis of experiments with
branching and nested factors are challenging and have not received much
attention in the literature. Motivated by a computer experiment in a
machining process, we introduce the concept of branching Latin hypercube
design (BLHD) and discuss some criteria for finding an optimal BLHD. In
addition, we proposed new kriging methods that can accommodate branching and
nested factors. Through the application of the proposed methods, optimal
machining conditions and tool edge geometry are attained, which resulted in a
remarkable improvement in the machining process.
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