A Unified Theory of Design Structure Matrix and Axiomatic Design for Product Architecture

Authors

  • Tatsuya Tokunaga Tokyo Institute of Technology Japan
  • Shuzo Fujimura Tokyo Institute of Technology Japan

Keywords:

Design Structure Matrix, Domain Mapping Matrix, Modularity, Modularization, Axiomatic Design, Statistical Mechanics

Abstract

We propose a new principle of modularity for product design in cases where functions and constraints contribute to modularity. A modularity matrix is defined as a set of permissible ranges for both functions and constraints. We prove that a design structure matrix (DSM) of physical components for functions is equivalent to a modularity matrix of axiomatic design (AD). Next, from statistical mechanics, we introduce entropy for selected modules with constrantis after regularizing a modularity matrix by a new parameter. This concept of entropy highlights the number of possible options to realize the optimal value of a product. We show that the two limits of the entropy are logically equivalent to modularization of real option theory and information axiom in DSM and AD. From the principle of entropy maximization, we clarify the manner in which the matrix elements of modularity matrix should change in order to realize the highest value of products.

Author Biographies

  • Tatsuya Tokunaga, Tokyo Institute of Technology Japan

    Ph.D. student, Graduate School of Innovation Management, Tokyo Institute of Technology

  • Shuzo Fujimura, Tokyo Institute of Technology Japan

    Dr. Shuzo Fujimura is full professor at Tokyo Institute of Technology, Department of Management of Technology / Department of Innovation Graduate School of Innovation Management. He is focusing his research interest on the generation process of new products and industries as a higher dimensional system. In addition, he also has strong interest on the relation between designing and creativity as the base of creation of the new higher dimensional system. He received Bachelor in Physics (1978) and Ph.D in material science (1993) from Chiba University. From 1978 to 1998, he engaged in research and development of semiconductor processing at Fujitsu and Fujitsu Laboratories. After joining to start up of a company for four years in California as a co-founder, he worked for the Institute of Innovation Research of Hitotsubashi University as a chaired professor until 2008. He has received several awards: Recognition for notable inventions, Science and Technology Agency (1997), Business & Technology Book Award, Nikkei BP (2001), and Best Teacher Award, Tokyo Institute of Technology (2010).

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Published

2022-05-20

Issue

Vol. 3 No. 3 (2016): The Journal of Modern Project Management

Section

Articles-JMPM

License

Copyright (c) 2022 Tatsuya Tokunaga, Shuzo Fujimura

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

A Unified Theory of Design Structure Matrix and Axiomatic Design for Product Architecture. (2022). The Journal of Modern Project Management, 3(3), 155. https://journalmodernpm.com/manuscript/index.php/jmpm/article/view/207

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