Hybrid multi-objective shape design optimization using Taguchi’s method and genetic algorithm

This research is based on a new hybrid approach, which deals with the improvement of shape optimization process. The objective is to contribute to the development of more efficient shape optimization approaches in an integrated optimal topology and shape optimization area with the help of genetic algorithms and robustness issues. An improved genetic algorithm is introduced to solve multi-objective shape design optimization problems. The specific issue of this research is to overcome the limitations caused by larger population of solutions in the pure multi-objective genetic algorithm. The combination of genetic algorithm with robust parameter design through a smaller population of individuals results in a solution that leads to better parameter values for design optimization problems. The effectiveness of the proposed hybrid approach is illustrated and evaluated with test problems taken from literature. It is also shown that the proposed approach can be used as first stage in other multi-objective genetic algorithms to enhance the performance of genetic algorithms. Finally, the shape optimization of a vehicle component is presented to illustrate how the present approach can be applied for solving multi-objective shape design optimization problems.

[1]  Jaco F Schutte,et al.  Evaluation of a particle swarm algorithm for biomechanical optimization. , 2005, Journal of biomechanical engineering.

[2]  Luis Cuadros-Rodríguez,et al.  Optimizing analytical methods using sequential response surface methodology. Application to the pararosaniline determination of formaldehyde , 2001, Fresenius' journal of analytical chemistry.

[3]  K. Deb,et al.  Hybrid methods for multi-objective evolutionary algorithms , 2002 .

[4]  M. Rais-Rohani,et al.  Comparison of global and local response surface techniques in reliability-based optimization of composite structures , 2004 .

[5]  Tapabrata Ray,et al.  A Swarm Metaphor for Multiobjective Design Optimization , 2002 .

[6]  M. S. Phadke,et al.  Quality Engineering using Design of Experiments , 1989 .

[7]  Connie M. Borror,et al.  Robust Parameter Design: A Review , 2004 .

[8]  C. A. Coello Coello,et al.  Multiobjective structural optimization using a microgenetic algorithm , 2005 .

[9]  N. Olhoff,et al.  Topology optimization of continuum structures subjected to pressure loading , 2000 .

[10]  Ferruh Öztürk,et al.  Hybrid neural network and genetic algorithm based machining feature recognition , 2004, J. Intell. Manuf..

[11]  Andy J. Keane,et al.  ROBUSTNESS OF OPTIMAL DESIGN SOLUTIONS TO REDUCE VIBRATION TRANSMISSION IN A LIGHTWEIGHT 2-D STRUCTURE, PART I: GEOMETRIC DESIGN , 2000 .

[12]  Jaroslav Haslinger,et al.  Genetic and Random Search Methods in Optimal Shape Design Problems , 2000, J. Glob. Optim..

[13]  I-Cheng Yeh Hybrid Genetic Algorithms for Optimization of Truss Structures , 1999 .

[14]  L. Watson,et al.  Reasonable Design Space Approach to Response Surface Approximation , 1999 .

[15]  Ching-Fang Liaw,et al.  A hybrid genetic algorithm for the open shop scheduling problem , 2000, Eur. J. Oper. Res..

[16]  P. Tang,et al.  Integration of topology and shape optimization for design of structural components , 2001 .

[17]  Hisao Ishibuchi,et al.  Hybridization of fuzzy GBML approaches for pattern classification problems , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[18]  David W. Corne,et al.  Approximating the Nondominated Front Using the Pareto Archived Evolution Strategy , 2000, Evolutionary Computation.

[19]  Hisao Ishibuchi,et al.  Balance between genetic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling , 2003, IEEE Trans. Evol. Comput..

[20]  G. Rozvany Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics , 2001 .

[21]  Kalyanmoy Deb,et al.  Multi-Objective Evolutionary Algorithms for Engineering Shape Design , 2003 .

[22]  Janet K. Allen,et al.  A review of robust design methods for multiple responses , 2005 .

[23]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[24]  E. M. Montes Alternative techniques to handle constraints in evolutionary optimization , 2004 .

[25]  Hung-Chang Liao,et al.  Using N-D method to solve multi-response problem in Taguchi , 2005, J. Intell. Manuf..

[26]  Y. G. Xu,et al.  Hybrid evolutionary algorithm and application to structural optimization , 2005 .

[27]  Babak Forouraghi,et al.  A Genetic Algorithm for Multiobjective Robust Design , 2000, Applied Intelligence.

[28]  Madhan Shridhar Phadke,et al.  Quality Engineering Using Robust Design , 1989 .

[29]  Ferruh Öztürk,et al.  Neural network based non-standard feature recognition to integrate CAD and CAM , 2001, Comput. Ind..

[30]  G. Rozvany Stress ratio and compliance based methods in topology optimization – a critical review , 2001 .

[31]  Carlos A. Coello Coello,et al.  Handling multiple objectives with particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.

[32]  Tapabrata Ray,et al.  Leader identification and leader selection: its effect on a swarm’s performance for multi-objective design optimization problems , 2004 .

[33]  Kyung K. Choi,et al.  Hybrid Analysis Method for Reliability-Based Design Optimization , 2003 .

[34]  Carlos A. Coello Coello,et al.  Hybridizing a genetic algorithm with an artificial immune system for global optimization , 2004 .

[35]  Antonio Mancuso,et al.  A genetic algorithm for combined topology and shape optimisations , 2003, Comput. Aided Des..

[36]  Necmettin Kaya,et al.  Integrated optimal topology design and shape optimization using neural networks , 2003 .

[37]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[38]  Tung-Kuan Liu,et al.  Hybrid Taguchi-genetic algorithm for global numerical optimization , 2004, IEEE Transactions on Evolutionary Computation.

[39]  Young H. Park,et al.  Extensions of design potential concept for reliability-based design optimization to nonsmooth and extreme cases , 2001 .

[40]  Xin Yao,et al.  From an individual to a population: an analysis of the first hitting time of population-based evolutionary algorithms , 2002, IEEE Trans. Evol. Comput..

[41]  Sundar Krishnamurty,et al.  A robust multi-criteria optimization approach , 1997 .

[42]  Kalyanmoy Deb,et al.  Multi-objective Genetic Algorithms: Problem Difficulties and Construction of Test Problems , 1999, Evolutionary Computation.

[43]  Kalyanmoy Deb,et al.  Nonlinear goal programming using multi-objective genetic algorithms , 2001, J. Oper. Res. Soc..

[44]  Wei Shyy,et al.  Shape optimization of supersonic turbines using global approximation methods , 2002 .

[45]  Kwon-Hee Lee,et al.  Automotive door design using structural optimization and design of experiments , 2003 .