Product structure (BOM)-based product similarity measures using orthogonal procrustes approach

Authors:
Han M. Shih
Affiliations:
Department of Industrial & Manufacturing Systems Engineering, E3437 Thomas and Nell Lafferre Hall, University of Missouri, Columbia, MO 65211, United States
Venue:
Computers and Industrial Engineering
Year:
2011

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Abstract

In geometry, two configurations are called similar if they can be brought to a complete match by rigid motions and dilations. In the simplest case, product designs X and Y have the same dimensionality and same number of points which can be brought into a one to one correspondence by substantive considerations. Under orthogonal transformations, product design Y can only be rotated and reflected in order to approximate product design X. As for the ''as close as possible'' or ''relatively close'' criterion, a reasonable definition would be to measure the distances between corresponding points, square these values, and add them to obtain the sum-of-squares criterion L. In this paper, a product structure (BOM)-based product similarity measures using orthogonal procrustes approach is proposed. A structural product is first transformed into bill of materials (BOM), the structural similarity measurement between a product query and target product is calculated and evaluated using orthogonal procrustes approach. The results show that the proposed product structure similarity measure method can help companies find desired product information based on BOM feature.