An Efficient Multiobjective Optimizer Based on Genetic Algorithm and Approximation Techniques for Electromagnetic Design

To provide an efficient multiobjective optimizer, an approximation technique based on the moving least squares approximation is integrated into an improved genetic algorithm. In order to use fully, both the a posteriori information gathered from the latest searched nondominated solutions and the a priori knowledge about the search space and individuals, in guiding the search towards more and better Pareto solutions, a gradient direction based perturbation search strategy and a preference function based fitness penalization scheme are proposed. Numerical results are reported to validate the proposed work

[1]  Shiyou Yang,et al.  Developments of an efficient global optimal design technique – a combined approach of MLS and SA algorithm , 2002 .

[2]  Shiyou Yang,et al.  A simulated annealing algorithm for multiobjective optimizations of electromagnetic devices , 2003 .

[3]  Concha Bielza,et al.  Approximating nondominated sets in continuous multiobjective optimization problems , 2005 .

[4]  R.H.C. Takahashi,et al.  Sensitivity analysis applied to decision making in multiobjective evolutionary optimization , 2006, IEEE Transactions on Magnetics.

[5]  Shiyou Yang,et al.  A tabu method to find the Pareto solutions of multiobjective optimal design problems in electromagnetics , 2002 .

[6]  C.A. Coello Coello,et al.  MOPSO: a proposal for multiple objective particle swarm optimization , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[7]  Carlos A. Coello Coello,et al.  An updated survey of GA-based multiobjective optimization techniques , 2000, CSUR.

[8]  D.A.G. Vieira,et al.  Treating constraints as objectives in multiobjective optimization problems using niched Pareto genetic algorithm , 2004, IEEE Transactions on Magnetics.

[9]  Lothar Thiele,et al.  Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach , 1999, IEEE Trans. Evol. Comput..

[10]  P. Di Barba Multiobjective design optimisation: A microeconomics-inspired strategy applied to electromagnetics , 2005 .

[11]  W. Renhart,et al.  Pareto optimality and particle swarm optimization , 2004, IEEE Transactions on Magnetics.