• J. A. Vasconcelos
  • R. L. S. Adriano
  • D. A. G. Vieira
  • G. F. D. Souza
  • H. S. Azevedo




In this paper the effects of elitism in the Nondominated Sorting Genetic Algorithm (NSGA) are analyzed. Three different kinds of elitism: standard, clustering and Parks & Miller techniques are investigated using two test problems. For the studied problems, the Parks & Miller mechanism generated the best results. Finally, the NSGA with Parks & Miller elitism was applied to determine the nondominated front for a storage magnetic energy system and the IEEE 30- node system. Simulation results obtained suggest the effectiveness of this proposed approach to solve real world problems.


C.A.C. Coello, "A comprehensive survey of evolutionary-based multiobjective optimization``. Knowledge and Information Systems 1 (3), 269-308.

Srinivas, N. and Deb, K., "Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms``. Evolutionary Computation, 2(3), pp. 221--248 (1994).

A.H. F. Dias and J. A. Vasconcelos, "Multiobjective Genetic Algorithm applied to solve Optimization Problems', IEEE Trans. Magnetics, v. 38, pp. 1133-1136, March 2002.

E. Zitzler, "Evolutionary Algorithms for Multiobjective Optimization: Methods and Applications``, PhD Thesis, Diss. ETH No. 13398, November (1999).

Parks, G. T. and I. Miller, "Selective breeding in a multiobjective genetic algorithm``. In A. E. Eiben, T. Bäck, M. Schoenauer and H. Schwefel (Eds.), Fifth Int. Conf. on Parallel Problem Solving from Nature, pp. 250-259. Springer.

Van Veldhuizen, D. A. and Lamont, G. B., "On Measuring Multiobjective Evolutionary Algorithm Performance``. In Proceedings of the 2000 Congress on Evolutionary Computation, pp. 204-211-(2000).

Schaffer, J. D., "Multiple objective optimization with vector evaluated genetic algorithms``. In Genetic Algorithms and their Applications: Proceedings of the First International Conference on Genetic Algorithms, pages 93-100. Lawrence Erlbaum (1985).

"TEAM Optimization Benchmark Problem 22'. Internet edition: http://www-igte.tugraz. ac.at/team/team3dis.htm.

D.A.G. Vieira, R.L.S. Adriano, J.A. Vasconcelos and L. Krähenbühl, "New Approach with NPGA for Solving Constrained Multiobjective Optimization Problems``, The Tenth Biennial IEEE Conference on Electromagnetic Field Computation, Perugia, Italy, June 16-19 2002. The extended version of this paper was submitted to IEEE Trans. Magnetics.

C. A. C. Coello, "Treating Constraints as Objectives for Single-Objective Evolutionary optimization', Engineering Optimization, v. 32, no.3, pp. 275-308, 2000.

B. Stott and O. Alsac, "Fast decoupled load flow``, IEEE Trans. Power Apparartus and Systems, PAS-93, pp. 859-867 (1974).




How to Cite

J. A. Vasconcelos, R. L. S. Adriano, D. A. G. Vieira, G. F. D. Souza, & H. S. Azevedo. (2002). NSGA WITH ELITISM APPLIED TO SOLVE MULTIOBJECTIVE OPTIMIZATION PROBLEMS. Journal of Microwaves, Optoelectronics and Electromagnetic Applications (JMOe), 2(6), 59-69. Retrieved from http://www.jmoe.org/index.php/jmoe/article/view/85



Regular Papers