Journal ArticleDOI
A graph-aided method for planning two-level experiments when certain interactions are important
Chien-Fu Wu,Youyi Chen +1 more
TLDR
In this paper, a graph-aided method is proposed to solve the problem of fractional factorial factorial experiment planning, where prior knowledge may suggest that some interactions are potentially important and should therefore be estimated free of the main effects.Abstract:
In planning a fractional factorial experiment prior knowledge may suggest that some interactions are potentially important and should therefore be estimated free of the main effects. In this article, we propose a graph-aided method to solve this problem for two-level experiments. First, we choose the defining relations for a 2 n–k design according to a goodness criterion such as the minimum aberration criterion. Then we construct all of the nonisomorphic graphs that represent the solutions to the problem of simultaneous estimation of main effects and two-factor interactions for the given defining relations. In each graph a vertex represents a factor and an edge represents the interaction between the two factors. For the experiment planner, the job is simple: Draw a graph representing the specified interactions and compare it with the list of graphs obtained previously. Our approach is a substantial improvement over Taguchi's linear graphs.read more
Citations
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Journal ArticleDOI
Mixed two- and eight-level fractional factorial split-plot designs containing clear effects
Ye Yuan,Sheng-li Zhao +1 more
TL;DR: In this article, the conditions of a resolution III or IV FFSP design with both two-level and eight-level factors were investigated, including two types of main effects and three types of two-factor interaction components.
Journal ArticleDOI
Optimal compound orthogonal arrays and single arrays for robust parameter design experiments
TL;DR: Compound orthogonal arrays (COAs) and single arrays are alternatives to the inner–outer arrays advocated by Taguchi for robust parameter design experiments and various optimality criteria are proposed for selecting optimal single arrays.
Journal ArticleDOI
Planning experiments when some specified interactions are investigated
TL;DR: This article proposes methods that do not require graphs for planning experiments with requirements of the estimation of some specified interactions, and develops several rules for the design of such experiments that requires the estimating of specified two-factor interactions in various structures.
Dissertation
New developments in designs for computer experiments and physical experiments
TL;DR: A new method for constructing “good” designs for computer experiments that allows orthogonal Latin hypercubes to be constructed for any run size n 6= 4k +2, and it is proved that an orthogonic Latin hypercube does not exist.
Journal ArticleDOI
On Construction of Optimal Two-Level Designs with Multi Block Variables
TL;DR: This paper proposes a systematic theory on constructing some B2-GMC designs for the first time and reveals the pros and cons of the designs according to the construction method.
References
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Book
Quality Engineering Using Robust Design
TL;DR: This book offers a complete blueprint for structuring projects to achieve rapid completion with high engineering productivity during the research and development phase to ensure that high quality products can be made quickly and at the lowest possible cost.
Journal ArticleDOI
The graph isomorphism disease
Ronald C. Read,Derek G. Corneil +1 more
TL;DR: The present state of the art of isomorphism testing is surveyed, its relationship to NP-completeness is discussed, and some of the difficulties inherent in this particularly elusive and challenging problem are indicated.
Journal ArticleDOI
Minimum Aberration 2 k–p Designs
Arthur Fries,William G. Hunter +1 more
TL;DR: In this article, the concept of aberration is proposed as a way of selecting the best designs from those with maximum resolution, and algorithms are presented for constructing these minimum aberration designs.
Minimum Aberration 2k-p Designs
Arthur Fries,William G. Hunter +1 more
TL;DR: The concept of resolution was introduced by Box and Hunter as discussed by the authors, who defined the resolution of a two-level fractional factorial design as the length of the shortest word in the defining relation.