An exact algorithm to extract the generalized physical contradiction

Problem solving in design is one of the main studied topic of research, and especially methods for problem solving. Generally, two kinds of methods are differentiated, those dedicated to routine design, and those focused on inventive design. The authors aim at linking the two approaches and building a continuum between both. Thus they studied the link and direct extraction of contradictions out of experiments. To do so they built a generic model of contradictions, the generalized system of contradictions (GSC). This paper proposes an algorithm for identifying and extracting generalized physical contradictions (GPCs), a part of the GSC, from experiments. First, the authors’ design methodology to build the continuum from optimization till invention is introduced. The notion of GSC is presented and the focus is made on the notion of GPC. This one is described through binary integer programming and an algorithm is proposed in order to identify and extract complete set of generalized technical contradictions from experiments concerning the inventive problem.

[1]  Sébastien Dubois,et al.  Sequential experimentation to perform the Analysis of Initial Situation , 2015 .

[2]  Der-San Chen,et al.  Applied Integer Programming: Modeling and Solution , 2010 .

[3]  Altshuller Creativity As an Exact Science , 1984 .

[4]  Frederick S. Hillier,et al.  Introduction of Operations Research , 1967 .

[5]  Valérie Dupé,et al.  Interactive method for autonomous microsystem design , 2010 .

[6]  Stefano Filippi,et al.  IDGL, an interaction design framework based on systematic innovation and quality function deployment , 2016 .

[7]  Denis Cavallucci,et al.  Initial situation analysis through problem graph , 2010 .

[8]  Jonathan Cagan,et al.  A conceptual framework for combining artificial intelligence and optimization in engineering design , 1997 .

[9]  Roman Žavbi,et al.  Synthesis of elementary product concepts based on knowledge twisting , 2010 .

[10]  Oded Maimon,et al.  Sufficient conditions for inventive solutions , 1999, IEEE Trans. Syst. Man Cybern. Part C.

[11]  Ricardo Mejía-Gutiérrez,et al.  Heuristics-based design process , 2016 .

[12]  Sébastien Dubois,et al.  Algorithm for identifying generalized technical contradictions in experiments , 2013 .

[13]  Ricardo Mejía-Gutiérrez,et al.  Methodology for the implementation of heuristics in the design process , 2014 .

[14]  Sébastien Dubois,et al.  A dialectical based model coherent with inventive and optimization problems , 2009, Comput. Ind..

[15]  Fouad Bennis,et al.  Interactive optimization strategies for layout problems , 2010 .

[16]  John S. Gero,et al.  Modeling Creativity and Knowledge-Based Creative Design , 1993 .

[17]  John S. Gero,et al.  Adaptive enlargement of state spaces in evolutionary designing , 2000, Artificial Intelligence for Engineering Design, Analysis and Manufacturing.

[18]  A. Agogino,et al.  Dimensional Variable Expansion—A formal approach to innovative design , 1991 .