Robust multi-objective team 22 problem: A case study of uncertainties in design optimization

IEEE Transactions on Magnetics

Volumn 45, Issue 3, 2009, Pages 1028-1031

  Soares, Gustavo L ^a,c   Adriano, Ricardo L S ^b   Maia, Carlos A ^a   Jaulin, Luc ^c   Vasconcelos, Joãa A ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b ENSIETA   (France)

^c Transports et leur Securite   (France)

Author keywords

Genetic algorithms; Magnetostatics; Robust multi objective optimization; Robust Pareto front; TEAM 22

Indexed keywords

GENETIC ALGORITHMS; MAGNETOSTATICS; PROBLEM SOLVING;

CONSTRAINT FUNCTIONS; MULTI-OBJECTIVE GENETIC ALGORITHM; OPTIMIZATION PROBLEMS; PARETO FRONT; ROBUST FORMULATIONS; ROBUST MULTI-OBJECTIVE OPTIMIZATIONS; TEAM 22; UNCERTAINTY PARAMETERS;

MULTIOBJECTIVE OPTIMIZATION;

EID: 61449084728     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2009.2012563     Document Type: Article

References (10)

1. P. Alotto, A. V. Kuntsevich, C. Magele, G. Molinari, C. Paul, M. Repetto, and K. Richter, "Multiobjective optimization in magnetostatics: A proposal for a benchmark problem," IEEE Trans. Magn., vol. 32, pp. 1238-1241, 1996.
2. J. A. Vasconcelos, J. A. Ramírez, R. H. C. Takahashi, and R. R. Saldanha, "Improvements in genetic algorithms," IEEE Trans. Magn., vol. 37, no. 5, pp. 3414-3417, 2001.
3. A. H. F. Dias and J. A.Vasconcelos, "Multiobjective genetic algorithms applied to solve optimization problems," IEEE Trans. Magn., vol. 38, no. 2, pp. 1133-1136, 2002.
4. D. A. G. Vieira, R. L. S. Adriano, J. A. Vasconcelos, and L. Krähenbühl, "Treating constraints as objectives in multiobjective optimization problems using niched Pareto genetic algorithm," IEEE Trans. Magn., vol. 40, no. 2, pp. 1188-1191, 2004.
5. G. Taguchi, Introduction to Quality Engineering. New York: American Supplier Inst., 1989.
6. A. Parkinson, C. Sorensen, and N. Pourhassan, "A general approach for robust optimal design, journal of mechanical design," Trans. ASME, vol. 115, no. 1, pp. 75-81, 1993.
7. P. Kouvelis and G. Yu, Robust Discrete Optimization and Its Applications. Boston, MA: Kluwer Academic, 1997.
8. K. Deb and H. Gupta, "Searching for robust pareto-optimal solutions in multi-objective optimization," in Proc. EMO, 2005, pp. 150-164.
9. K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms. New York: Wiley, 2001.
10. F. G. Guimarães, F. C. F. Pinto, R. R. Saldanha, H. Igarashi, and J. A. Ramírez, "A multi-objective proposal for the team benchmark problem 22," IEEE Trans. Magn., vol. 42, no. 4, pp. 1471-1474, 2006.