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Lotov A.V., Berezkin V.E., Lotova E.A., Riabikov A.I. Experiments with hybrid methods for Edgeworth-Pareto Hull approximation |
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Abstract. Experiments with hybrid methods for Edgeworth-Pareto Hull approximation in complicated nonlinear problems of multiobjective optimization are described. The methods are based on hybridization of the local optimization and the genetic methods. Keywords: multiobjective optimization, Pareto frontier, Edgeworth-Pareto Hull PP. 8-11. References 1. Krasnozhchokov P.S., Morozov V.V., Popov N.M. Optimizaciya v avtomatizirovannom projektirovanii [Optimization in automatized projecting]. – Moscow: Maks Press, 2008. 2. Lotov A.V., Bushenkov V.A., Kamenev G.K. Interactive Decision Maps. Approximation and Visualization of Pareto Frontier. – Boston: Kluwer Academic Publishers, 2004. 3. Evtushenko Yu.G., Posypkin M.A. 2013. Nonuniform covering method as applied to multicriteria optimization problems with guaranteed accuracy. Comput. Math. and Math. Phys. (2013) 53(2): 209-224. 4. Berezkin V.E., Kamenev G.K., Lotov A.V. 2006. Hybrid Adaptive Methods for Approximating a Nonconvex Multidimensional Pareto Frontier. Computational Mathematics and Mathematical Physics. 46(11): 1918-1931. 5. Deb K. Multi-objective optimization using evolutionary algorithms. – Chichester, UK: Wiley, 2001.
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