A METAHEURISTIC FOR SOLUTION SPACE MODELLING

To confront current market changes, Set-Based Design (SBD) should help carmakers improve time, cost and quality in early design phase. In a development process using ever more computer experiments, building predictive models of the solution space is key to implementing SBD. The present article proposes a new algorithm to build high quality predictive metamodels efficiently and tests it on several benchmark problems. Promising results are obtained. We believe such models could be used for several purpose in design: implementing SBD, optimisation and generating feasible concepts, among others.

[1]  Dimitri N. Mavris,et al.  SET-BASED DESIGN SPACE EXPLORATION ENABLED BY DYNAMIC CONSTRAINT ANALYSIS , 2014 .

[2]  Carolyn Conner Seepersad,et al.  Bayesian Networks for Set-Based Collaborative Design , 2009, DAC 2009.

[3]  Durward K. Sobek,et al.  Toyota's Principles of Set-Based Concurrent Engineering , 1999 .

[4]  Durward K. Sobek,et al.  Adapting real options to new product development by modeling the second Toyota paradox , 2005, IEEE Transactions on Engineering Management.

[5]  H. Harbrecht,et al.  On the computation of solution spaces in high dimensions , 2016 .

[6]  Bernard Yannou,et al.  Towards a Conceptual Design Explorer Using Metamodeling Approaches and Constraint Programming , 2003, DAC 2003.

[7]  Carolyn Conner Seepersad,et al.  An industrial trial of a set-based approach to collaborative design , 2008, DAC 2008.

[8]  Haruo Ishikawa,et al.  Novel space-based design methodology for preliminary engineering design , 2006 .

[9]  D. Krige A statistical approach to some basic mine valuation problems on the Witwatersrand, by D.G. Krige, published in the Journal, December 1951 : introduction by the author , 1951 .

[10]  R. Regis Constrained optimization by radial basis function interpolation for high-dimensional expensive black-box problems with infeasible initial points , 2014 .

[11]  Thomas Bäck,et al.  Online selection of surrogate models for constrained black-box optimization , 2016, 2016 IEEE Symposium Series on Computational Intelligence (SSCI).

[12]  Jamel Louati,et al.  Interval computation and constraint propagation for the optimal design of a compression spring for a linear vehicle suspension system , 2015 .

[13]  Thomas Naumann,et al.  Parameter Management, a Novel Approach in Systems Engineering , 2017 .

[14]  Markus Zimmermann,et al.  Identifying Key Parameters for Design Improvement in High-Dimensional Systems With Uncertainty , 2014 .

[15]  Markus Zimmermann,et al.  An inexpensive estimate of failure probability for high-dimensional systems with uncertainty , 2012 .

[16]  Sándor Vajna,et al.  INTEGRATING THE KNOWLEDGE ABOUT FUNCTIONAL INTERDEPENDENCIES INTO A PARAMETER MANAGEMENT APPROACH , 2018 .

[17]  Markus Zimmermann,et al.  Direct computation of solution spaces , 2017 .

[18]  W. Konen,et al.  Constrained Optimization with a Limited Number of Function Evaluations , 2014 .

[19]  Kristina Shea,et al.  Computational design synthesis , 2014, Artificial Intelligence for Engineering Design, Analysis and Manufacturing.

[20]  Thomas Bäck,et al.  A New Repair Method For Constrained Optimization , 2015, GECCO.

[21]  Markus Zimmermann,et al.  Computing solution spaces for robust design , 2013 .

[22]  Thomas Bäck,et al.  Equality constraint handling for surrogate-assisted constrained optimization , 2016, 2016 IEEE Congress on Evolutionary Computation (CEC).

[23]  Durward K. Sobek,et al.  The Second Toyota Paradox: How Delaying Decisions Can Make Better Cars Faster , 1995 .

[24]  Markus Zimmermann,et al.  On the design of large systems subject to uncertainty , 2017 .

[25]  Corinna Cortes,et al.  Support-Vector Networks , 1995, Machine Learning.

[26]  G. Gary Wang,et al.  Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions , 2010 .

[27]  Thomas Bäck,et al.  Solving the G-problems in less than 500 iterations: Improved efficient constrained optimization by surrogate modeling and adaptive parameter control , 2015, ArXiv.

[28]  Kaisa Miettinen,et al.  A survey on handling computationally expensive multiobjective optimization problems using surrogates: non-nature inspired methods , 2015, Structural and Multidisciplinary Optimization.