Graph based isomorph-free generation of two-level regular fractional factorial designs |
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Authors: | Abhishek K. Shrivastava Yu Ding |
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Affiliation: | aTexas A&M University, Department of Industrial and Systems Engineering, College Station, TX 77843-3131, USA |
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Abstract: | We provide a new necessary and sufficient check for testing the isomorphism of two 2-level regular fractional factorial designs. The approach is based on modeling fractional factorial designs as bipartite graphs. We employ an efficient canonical graph labeling approach to compare two designs for isomorphism. We then improve upon the existing non-isomorphic fractional factorial design generation algorithm by reducing the number of candidate designs from which isomorphs need to be removed. Not only does our method generate non-isomorphic designs much faster, it is also able to generate designs with run sizes of 2048 and 4096 runs, which were not generated by the existing methods. |
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Keywords: | Isomorphism Graphs Design catalog Automorphism Large designs Defining contrast subgroup Treatment combinations subgroup Canonical labeling |
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