The principal objective of this article is to formulate a multivariate anal
ysis model to generate optimal machine cells and part families in GT proble
ms. The algorithm is carried out in three stages. The double centering matr
ix for similarity of machines and parts is used as similarity coefficient m
atrix. A quantification method is applied to find the eigenvalues and eigen
vectors on the double centering matrix. Cluster analysis is applied to make
part families and machines groups while minimizing the distance of eigenve
ctors. A numerical example for the design of cell structures is provided. (
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