Genetic and Random Search Methods in Optimal Shape Design Problems |
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Authors: | J Haslinger D Jedelský T Kozubek J Tvrdík |
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Institution: | (1) KFK MFF UK, Ke Karlovu 5, 121 16 Praha 2, CZ;(2) Institute for Research and Applications of Fuzzy Modelling, University of Ostrava, Bráfova 7, 701 03 Ostrava 1, CZ;(3) Dept. of Computer Science, VSB-Technical Univ., t . 17. listopadu, 708 33 Ostrava 8, CZ;(4) Dept. of Computer Science, Univ. of Ostrava, Bráfova 7, 701 03 Ostrava 1, CZ |
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Abstract: | We describe the application of two global optimization methods, namely of genetic and random search type algorithms in shape optimization. When the so-called fictitious domain approaches are used for the numerical realization of state problems, the resulting minimized function is non-differentiable and stair-wise, in general. Such complicated behaviour excludes the use of classical local methods. Specific modifications of the above-mentioned global methods for our class of problems are described. Numerical results of several model examples computed by different variants of genetic and random search type algorithms are discussed. |
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Keywords: | Genetic algorithm Control random search method Shape optimization Fictitious domain approaches |
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