Reduction of product platform complexity by vectorial Euclidean algorithm

In traditional machine, equipment and devices design, technical solutions are practically independent, thus increasing designs cost and complexity. Overcoming this situation has been tackled just using designer’s experience. In this work, a product platform complexity reduction is presented based on a matrix representation of technical solutions versus product properties. This matrix represents the product platform. From this matrix, the Euclidean distances among technical solutions are obtained. Thus, the vectorial distances among technical solutions are identified in a new matrix of order of the number of technical solutions identified. This new matrix can be reorganized in groups with a hierarchical structure, in such a way that modular design of products is now more tractable. As a result of this procedure, the minimum vector distances are found thus being possible to identify the best technical solutions for the design problem raised. Application of these concepts is shown with two examples.

[1]  Soundar R. T. Kumara,et al.  A methodology for knowledge discovery to support product family design , 2010, Ann. Oper. Res..

[2]  Farrokh Mistree,et al.  Product platform design: method and application , 2001 .

[3]  Timothy W. Simpson,et al.  A Platform Identification Method for Service Family Design Using a Process Model and a Clustering Method , 2011 .

[4]  Jasbir S. Arora,et al.  Introduction to Optimum Design , 1988 .

[5]  M. Richman,et al.  Euclidean Distance as a Similarity Metric for Principal Component Analysis , 2001 .

[6]  Jörg Feldhusen,et al.  Design for Quality , 1996 .

[7]  Moreno Muffatto,et al.  Developing product platforms:: analysis of the development process , 2000 .

[8]  Roger Jianxin Jiao,et al.  Product family design and platform-based product development: a state-of-the-art review , 2007, J. Intell. Manuf..

[9]  Fiorenzo Franceschini,et al.  Rating scales and prioritization in QFD , 1999 .

[10]  Kikuo Fujita,et al.  TASK STRUCTURING TOWARD COMPUTATIONAL APPROACHES TO PRODUCT VARIETY DESIGN , 1997 .

[11]  E. Davidson The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices , 1975 .

[12]  Timothy W. Simpson,et al.  Product platform design and customization: Status and promise , 2004, Artificial Intelligence for Engineering Design, Analysis and Manufacturing.

[13]  Brian Everitt,et al.  Cluster analysis , 1974 .

[14]  Jihong Liu,et al.  A Multi-aspect Simulation System for Flexible Aircraft Wing Assembly , 2008, ICIRA.

[15]  Simon Li,et al.  Analysis of Decomposability and Complexity for Design Problems in the Context of Decomposition , 2005 .

[16]  Facundo Mémoli,et al.  Some ideas for formalizing clustering schemes , 2009 .

[17]  Marc H. Meyer,et al.  The Power of Product Platforms , 1997 .

[18]  Daniel Neufeld,et al.  Development of a Flexible MDO Architecture for Aircraft Conceptual Design , 2008 .

[19]  Fei Gao,et al.  Module-scale-based product platform planning , 2009 .

[20]  Xuehong Du,et al.  Understanding customer satisfaction in product customization , 2006 .

[21]  Facundo Mémoli,et al.  Characterization, Stability and Convergence of Hierarchical Clustering Methods , 2010, J. Mach. Learn. Res..

[22]  Simon Li,et al.  A Formal Two-Phase Method for Decomposition of Complex Design Problems , 2005 .

[23]  Timothy W. Simpson,et al.  From user requirements to commonality specifications: an integrated approach to product family design , 2010 .

[24]  Timothy W. Simpson,et al.  Building a better ice scraper—a case in product platforms for the entrepreneur , 2007, J. Intell. Manuf..

[25]  Panos Y. Papalambros,et al.  Platform Selection Under Performance Bounds in Optimal Design of Product Families , 2005 .

[26]  Michael J. Scott,et al.  Product platform design through sensitivity analysis and cluster analysis , 2007, J. Intell. Manuf..

[27]  Timothy W. Simpson,et al.  Product platform design to improve commonality in custom products , 2003, J. Intell. Manuf..

[28]  Kevin Otto,et al.  Analyzing module commonality for platform design using dendrograms , 2008 .