Parts and Assembly Equipment Complexity Dependency Matrix

  • S.N. Samy
  • H. ElMaraghy
Conference paper


Individual parts handling and assembly attributes are used to develop the relationship between part assembly complexity and its related assembly equipment complexity. First, a complexity Dependency Matrix (DM) was developed to represent the interactions between parts attributes and system functions. Second, an Assembly Equipment Complexity Matrix (AECM) was developed to represent the average assembly equipment complexity. The assembly of an automotive engine piston is used to demonstrate the application of the proposed matrices. The dependency matrix and the assembly equipment complexity matrix can be used by product designers and system developers to estimate the average assembly equipment complexity prior to determining the system configuration structure. This will save time and effort in analyzing the complexity of all system components and make the necessary changes at the early design stages.


Mapping Complexity Dependency Matrix 


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  1. [1]
    Cho, S., Alamoudi, R. Asfour, S., (2009): Interaction-Based Complexity Measure of Manufacturing Systems Using Information Entropy, International Journal of Computer Integrated Manufacturing, Vol. 22, No. 10, pp. 909-922.CrossRefGoogle Scholar
  2. [2]
    Blecker, T. Abdelkafi, N., (2005): Modularity and Delayed Product Differentiation in Assemble-to-Order Systems: Analysis and Extensions from a Complexity Perspective, in: Proceeding of the international mass customization meeting Klagenfurt/Austria, Gito Verlag, BerlinGoogle Scholar
  3. [3]
    Steger, U., (2007). Managing Complexity in Global Organizations, John Wiley Sons, Ltd., Chichester.Google Scholar
  4. [4]
    Kuzgunkaya, O. ElMaraghy, H., (2006): Assessing the Structural Complexity of Manufacturing Systems Configurations, International Journal of Flexible Manufacturing Systems, Vol. 18, No. 2, pp. 145-71.MATHCrossRefGoogle Scholar
  5. [5]
    Wang, H., Aydin, G. Hu, S.J., (2011): A Complexity Model for Assembly Supply Chains in the Presence of Product Variety and Its Relationship to Cost[online], search_files/Complexity_and_Cost_of_Supply_Chain.pdf (Access Date 2011).
  6. [6]
    Fujimoto, H., Ahmed, A., Iida, Y. Hanai, M., (2003): Assembly Process Design for Managing Manufacturing Complexities Because of Product Varieties, International Journal of Flexible Manufacturing Systems, Vol. 15, No. 4, pp. 283-307.CrossRefGoogle Scholar
  7. [7]
    Shibata, H., Cheldelin, B. Ishii, K., (2003): Assembly Quality Methodology: A New Method for Evaluating Assembly Complexity in Globally Distributed Manufacturing, in: ASME International Mechanical Engineering Congress, Washington, DC, United States, American Society of Mechanical Engineers, NY, US, pp. 335-344.Google Scholar
  8. [8]
    Lee, T.-S., (2003): Complexity Theory in Axiomatic Design, (PhD), Massachusetts Institute of Technology.Google Scholar
  9. [9]
    ElMaraghy, H., (2006): A Complexity Code for Manufacturing Systems, in: Ypsilanti, MI, United states, American Society of Mechanical Engineers.Google Scholar
  10. [10]
    ElMaraghy, H., Samy, S.N. Espinoza, V., (2010): A Classification Code for Assembly Systems, in: 3rd CIRP Conference on Assembly Technologies and Systems, CATS2010, Trondheim, Norway, pp. 145-150.Google Scholar
  11. [11]
    Hui, S., (2010): Extended Data Envelopment Models and a Practical Tool to Analyse Product Complexity Related to Product Variety for an Automobile Assembly Plant, International Journal of Logistics Systems and Management, Vol. 6, No. pp. 99-112.CrossRefGoogle Scholar
  12. [12]
    Zhu, X., Hu, S.J., Koren, Y. Marin, S.P., (2008): Modeling of Manufacturing Complexity in Mixed-Model Assembly Lines, Journal of Manufacturing Science and Engineering, Transactions of the ASME, Vol. 130, No. 5, pp. 051013-10.CrossRefGoogle Scholar
  13. [13]
    MacDuffie, J.P., Sethuraman, K. Fisher, M.L., (1996): Product Variety and Manufacturing Performance: Evidence from the International Automotive Assembly Plant Study, Management Science, Vol. 42, No. 3, pp. 350-69.MATHCrossRefGoogle Scholar
  14. [14]
    Martin, M.V. Ishii, K., (1996): Design for Variety: A Methodology for Understanding the Costs of Product Proliferation, in: Proceedings of the ASME Design Engineering Technical Conferences and Computers in Engineering Conference, Irvine, California, pp. Paper No. 96- DETC/DTM-1610.Google Scholar
  15. [15]
    Sarkis, J., (1997): An Empirical Analysis of Productivity and Complexity for Flexible Manufacturing Systems, International Journal of Production Economics, Vol. 48, No. 1, pp. 39-48.CrossRefGoogle Scholar
  16. [16]
    Samy, S.N. ElMaraghy, H., (2008): Effect of Variety on Assembly Complexity In: Proceedings of 2nd CIRP Conference on Assembly Technologies & Systems, Toronto, ON, Canada, CATS2008, pp. 184-197.Google Scholar
  17. [17]
    Boothroyd, G., Dewhurst, P., Knight, W.A., (2002). Product Design for Manufacture and Assembly, Marcel Dekker, New York.Google Scholar
  18. [18]
    Rodriguez-Toro, C., Jared, G. Swift, K., (2004): Product- Development Complexity Metrics: A Framework for Proactive- Dfa Implementation, in: International design conference Dubrovnik, pp. 483 – 490.Google Scholar
  19. [19]
    Stork, S. Schubo, A., (2010): Human Cognition in Manual Assembly: Theories and Applications, Advanced Engineering Informatics, Vol. 24, No. Compendex, pp. 320-328.Google Scholar
  20. [20]
    Zaeh, M.F., Wiesbeck, M., Stork, S. Schubo, A., (2009): A Multi-Dimensional Measure for Determining the Complexity of Manual Assembly Operations, Production Engineering, Vol. 3, No. Compendex, pp. 489-496.Google Scholar
  21. [21]
    Su, Q., Liu, L. Whitney, D.E., (2010): A Systematic Study of the Prediction Model for Operator-Induced Assembly Defects Based on Assembly Complexity Factors, IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans, Vol. 40, No. Compendex, pp. 107-120.Google Scholar
  22. [22]
    Salvendy, G., (2001): Handbook of Industrial Engineering: Technology and Operations Management, Wiley, New York, NY[u.a.].CrossRefGoogle Scholar
  23. [23]
    Samy, S.N. ElMaraghy, H., (2010): A Model for Measuring Products Assembly Complexity, International Journal of Computer Integrated Manufacturing, Vol. 23, No. Compendex, pp. 1015-1027.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • S.N. Samy
    • 1
  • H. ElMaraghy
    • 1
  1. 1.Intelligent Manufacturing Systems (IMS) CentreIndustrial and Manufacturing Systems Engineering, University of WindsorWindsorCanada

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