Multiobjective Optimization with Even Pareto Filter

Engineering problems are dealing with conflict objectives. The problem is multi-objective optimization. The solutions of this problem are solution set. The methods use to solve this problem base on genetic algorithm, GA. The methods generate the solutions first and choose later. After studying multiobjective GA method, it is obvious that this method did not give even Pareto solution set, so the designer hardly decides to choose it. The purposes of the research are to improve distribution of the solution set with using even Pareto filter and to propose the method that be measures distribution of Pareto solution set, with using distribution evenness factor. The results of this research bring to be better even Pareto solution set and the method uses to measure distribution evenness factor that is one way to present distribution of Pareto solution set.

[1]  Peter J. Fleming,et al.  Genetic Algorithms for Multiobjective Optimization: FormulationDiscussion and Generalization , 1993, ICGA.

[2]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[3]  A. Messac,et al.  Normal Constraint Method with Guarantee of Even Representation of Complete Pareto Frontier , 2004 .

[4]  David E. Goldberg,et al.  A niched Pareto genetic algorithm for multiobjective optimization , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[5]  John E. Dennis,et al.  Normal-Boundary Intersection: A New Method for Generating the Pareto Surface in Nonlinear Multicriteria Optimization Problems , 1998, SIAM J. Optim..

[6]  Randy L. Haupt,et al.  Practical Genetic Algorithms , 1998 .

[7]  Johan Andersson,et al.  A survey of multiobjective optimization in engineering design , 2001 .

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

[9]  J. Dennis,et al.  A closer look at drawbacks of minimizing weighted sums of objectives for Pareto set generation in multicriteria optimization problems , 1997 .

[10]  A. Messac,et al.  The normalized normal constraint method for generating the Pareto frontier , 2003 .

[11]  Wei Chen,et al.  Quality utility : a Compromise Programming approach to robust design , 1999 .