Despite the importance of the architectural modularity of products and systems, existing modularity metrics or algorithms do not account for overlapping and hierarchically embedded modules. This paper presents a graph theoretic spectral approach to characterize the degree of modular hierarchical-overlapping organization in the architecture of products and complex engineered systems. It is shown that the eigenvalues of the adjacency matrix of a product architecture graph can reveal layers of hidden modular or hierarchical modular organization that are not immediately visible in the predefined architectural description. We use the approach to analyze and discuss several design, management, and system resilience implications for complex engineered systems.
Spectral Characterization of Hierarchical Modularity in Product Architectures1
Contributed by the Design Theory and Methodology Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received March 6, 2013; final manuscript received August 15, 2013; published online November 7, 2013. Assoc. Editor: Jonathan Cagan.
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Sarkar, S., Dong, A., Henderson, J. A., and Robinson, P. A. (November 7, 2013). "Spectral Characterization of Hierarchical Modularity in Product Architectures." ASME. J. Mech. Des. January 2014; 136(1): 011006. https://doi.org/10.1115/1.4025490
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