Hierarchical modularity: Decomposition of function structures with the minimal description length principle

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 5, Issue , 2005, Pages 393-402

  Wang, Bingwen ^a   Antonsson, Erik K ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; EVOLUTIONARY ALGORITHMS; MATHEMATICAL MODELS; SYSTEMS ENGINEERING; TREES (MATHEMATICS);

HIERARCHICAL DECOMPOSITION; MINIMAL DESCRIPTION LENGTH (MDL); REAL FUNCTION STRUCTURE;

COMPUTER AIDED DESIGN;

EID: 33244476766     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-85173     Document Type: Conference Paper

References (28)

1. BALDWIN, C. Y., AND CLARK, K. B. Design Rules, Volume 1, The Power of Modularity. MIT Press, Cambridge MA., 2000.
2. FENVES, S., AND BRANIN, F. Network topological formulation of structural analysis. ASCE, Journal of The Structural Division 89, 4 (1963), 483-514.
3. GERSHENSON, J., PRASAD, G., AND ZHANG, Y. Product modularity: Measures and methods. Journal of Engineering Design 15, 1 (2004), 33-51.
4. GERSHENSON, J. K., PRASAD, G. J., AND ALLAMNENI, S. Modular product design: A life-cycle view. Journal of Integrated Design and Process Science 3, 4 (1999).
5. GOLDBERG, D. E. Genetic Algorithms in Search, Optimization,and Machine Learning. Addison-Wesley, MA., 1989.
6. HOLLAND, J. H. Adaptation in Natural and Artificial Systems. MIT Press, Cambridge, MA, 1975.
7. KARNOPP, D., AND ROSENBERG, R. System Dynamics: a Unified Approach. John wiley & sons, 1975.
8. KAVEH, A. Graphs and structures. Computers and Structures 40 (1991),893-901.
9. KOZA, J. R. Genetic Programming: On the Programming of Computers by Means of Natural Selections. MIT Press, 1992.
10. MING, L., AND VITANYI, P. M. B. An Introduction to Kolmogorov Complexity and Its Application. Springer-Verlag, New York, 1993.
11. OTTO, K., AND WOOD, K. Product Design. Prentice Hall, 2001.
12. PAHL, G., AND BEITZ, W. Engineering Design: A Systematic Approach. Springer, 1996.
13. R.GAREY, M., AND JOHNSON, D. S. Computers and Intractability: A guide to the theory of NP-completeness. W. H. Freeman & Co., 1979.
14. RISSANEN, J. Modeling by shortest data description. Automatica 14 (1978), 465-471.
15. RISSANEN, J. A universal prior for integers and estimation by minimum description length. Annals of Statistics 11 (1983), 416-431.
16. RISSANEN, J. Stochastic complexity and modeling. Annals of Statistics 14 (1986), 1080-1100.
17. RISSANEN, J. Hypothesis selection and testing by the MDL principle. Computer Journal 42 (1999), 260-269.
18. SANCHEZ, R., AND MAHONEY, J. T. Modularity, flexibility, and knowledge management in product and organisation design. Strategic Management Journal 17 (Winter Special Issue) (1996), 63-76.
19. SHANNON, C. E. A mathematical theory of communication. Bell System Technical Journal 27 (July and October 1948), 379-423 and 623-656.
20. SHARMAN, D. M., YASSINE, A. A., AND CARLILE, P. Architectural optimisation using real options theory and dependency structure matrices. In Proceedings of the ASME DETC DAC 2002 (2002).
21. SOSALE, S., HASHEMIAN, M., AND GU, P. An integrated modular design methodology for life-cycle engineering. Annals of the CIRP 46 (January 1997).
22. STONE, R., WOOD, K., AND CRAWFORD, R. A heuristic method to identify modules from a functional description of a product. In Proceedings of DETC98 (Atlanta, GA, 1998).
23. ULRICH, K., AND TUNG, K. Fundamentals of product modularity. In ASME Issues in Design/Manufacture integration (Atlanta, USA, 1991), pp. 73-80.
24. WALLACE, C. S., AND BOULTON, D. M. An information theoretic measure for classification. Computer Journal 11 (1968), 185-194.
25. WALLACE, C. S., AND DOWE, D. L. Minimum message length and Kolmogorov complexity. Computer Journal 42 (1999), 270-283.
26. WALLACE, C. S., AND FREEMAN, P. R. Estimation and inference by compact coding (with discussion). J.R. Statist Soc., B 49 (1987), 240-265.
27. WANG, B., AND ANTONSSON, E. K. Information Measure for Modularity in Engineering Design. In Proceedings of DETC'04: 2004 ASME Design Engineering Technical Conferences (Salt Lake City, UT, Sept. 2004). Paper Number DTM-57515.
28. YU, T.-L., YASSINE, A., AND GOLDBERG, D. A genetic algorithm for developing modular product architectures. In Proceedings of the ASME DETC DTM 2003 (2003).