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International Journal of Production Research Volume 27, 1989 - Issue 6
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Original Articles

GROUPABIL1TY: an analysis of the properties of binary data matrices for group technology

M. P. CHANDRASEKHARAN Department of Mechanical Engineering, Regional Engineering College, Calicut, 673 601, India
&
R. RAJAGOPALAN Industrial Management Division, Department of Humanities and Social Sciences, Indian Institute of Technology, Madras, 600 036, India
Pages 1035-1052 | Received 01 May 1988, Published online: 28 Mar 2007
 
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SUMMARY

Block-diagonalization of the machine-component incidence matrix is the first step in the implementation of group technology. Even powerful algorithms will fail to achieve this if the matrix itself is not amenable to block-diagonalization. The present work analyses the properties of the matrix and identifies the standard deviation of the pairwise similarities (Jaccard7rpar; of the vectors as the major factor that decides the groupability of the data set. Many data sets ranging from the perfectly groupable to the most ill structured ones are analysed and presented. The groupability curves show the variation of the property against the relevant factors.

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