Linking objective and subjective modeling in engineering design through arc-elastic dominance

Authors:
P. Sebastian;Y. Ledoux;A. Collignan;J. Pailhes
Affiliations:
Université de Bordeaux, Laboratoire TREFLE, UMR CNRS 8508, Esplanade des Arts et Métiers, 33405 Talence Cedex, France;Université de Bordeaux, Laboratoire TREFLE, UMR CNRS 8508, Esplanade des Arts et Métiers, 33405 Talence Cedex, France;Université de Bordeaux, Laboratoire TREFLE, UMR CNRS 8508, Esplanade des Arts et Métiers, 33405 Talence Cedex, France;Arts et Métiers ParisTech, Laboratoire TREFLE, UMR CNRS 8508, Esplanade des Arts et Métiers, 33405 Talence Cedex, France
Venue:
Expert Systems with Applications: An International Journal
Year:
2012

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Abstract

Engineering design in mechanics is a complex activity taking into account both objective modeling processes derived from physical analysis and designers' subjective reasoning. This paper introduces arc-elastic dominance as a suitable concept for ranking design solutions according to a combination of objective and subjective models. Objective models lead to the aggregation of information derived from physics, economics or eco-environmental analysis into a performance indicator. Subjective models result in a confidence indicator for the solutions' feasibility. Arc-elastic dominant design solutions achieve an optimal compromise between gain in performance and degradation in confidence. Due to the definition of arc-elasticity, this compromise value is expressive and easy for designers to interpret despite the difference in the nature of the objective and subjective models. From the investigation of arc-elasticity mathematical properties, a filtering algorithm of Pareto-efficient solutions is proposed and illustrated through a design knowledge modeling framework. This framework notably takes into account Harrington's desirability functions and Derringer's aggregation method. It is carried out through the re-design of a geothermal air conditioning system.