Geodesic
Application of genetic algorithms for heat flux optimization problem
Matematičeskoe modelirovanie, Tome 10 (1998) no. 9, pp. 111-122.

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For solution of the body shape optimization problem with respect to integral heat flux the new efficient robust method, using the basis ideas of genetic algorithms (GA) is suggested. This method is based on evolution and heredity principles and is dealt with population of the possible problem solutions, processing by main genetic operators – selection, crossover and mutation. The optimal solution obtained by means GA approach is compared with the results on the basis of traditional approach with using conjugate gradient method. It was demonstrated that GA enable us to reach best results: the integral heat flux for GA solution less then gradient one about 3–5%. The numerical experiments showed, that the suggested method for solving the variational problem is staable and quite robust, has high level of the arithmetical cost efficiency and enables one to compute variants for wide governing parameters range. 
@article{MM_1998_10_9_a8,
     author = {S. V. Peigin and J. Periaux and S. V. Timchenko},
     title = {Application of genetic algorithms for heat flux optimization problem},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {111--122},
     publisher = {mathdoc},
     volume = {10},
     number = {9},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1998_10_9_a8/}
}
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S. V. Peigin; J. Periaux; S. V. Timchenko. Application of genetic algorithms for heat flux optimization problem. Matematičeskoe modelirovanie, Tome 10 (1998) no. 9, pp. 111-122. http://geodesic.mathdoc.fr/item/MM_1998_10_9_a8/