Journal ArticleDOI
A graph-aided method for planning two-level experiments when certain interactions are important
Chien-Fu Wu,Youyi Chen +1 more
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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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TAGUCHI TECHNIQUES FOR 2 k FRACTIONAL FACTORIAL EXPERIMENTS
Nazan Danac,F. Zehra Muluk +1 more
TL;DR: In this paper, a connection between the linear graph method and graph theory is investigated and the use of orthogonal arrays, linear graphs, and triangular tables in the design of experiments is explained using an example.
Journal ArticleDOI
Computer algorithms of lower-order confounding in regular designs
Zhi Ming Li,Zhiming Li +1 more
Journal ArticleDOI
Mathematical Problems for Complex Systems
TL;DR: The special issue contains seven papers related to application analysis of complex systems to the real world problems, one of which studies the synchronization of chaotic complex systems with fractional-order, and one investigates the consensus problem for nonlinear complex systems.
Journal ArticleDOI
Optimal Fractional Factorial Plans Using Finite Projective Geometry
TL;DR: In this paper, the authors obtained two new optimal fractional factorial plans for estimation of the mean, all main effects, specified two-factor interactions, and specified (r−−1) factor interactions using PG(r−1, m).
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.