GINDY, N., RATCHEV, T.M. and CASE, K., 1995. Component grouping for GT applications - a fuzzy clustering approach with validity measure. International Journal of Production Research, 33 (9), pp. 2493 - 2509.
The variety of the currently available component grouping methodologies and
algorithms provide a good theoretical basis for implementing GT principles in
cellular manufacturing environments. However, the practical application of the
grouping approaches can be further enhanced through extensions to the widely used
grouping algorithms and the development of criteria for partitioning components
into an 'optimum' number of groups. Extensions to the fuzzy clustering algorithm
and a definition of a new validity measure are proposed in this paper. These
are aimed at improving the practical applicability of the fuzzy clustering
approach for family formation in cellular manufacturing environments. Component
partitioning is based upon assessing the compactness of components within a group
and overlapping between the component groups. The developed grouping
methodology is experimentally demonstrated using an industrial case study and
several well known component grouping examples from the published literature.