Two hybrid stochastic-deterministic methods for the optimization of flow systems are described. The first method is a combination of a genetic algorithm and simplex method of Nelder-Mead. The other method is a combination of a direct search method of Hooke-Jeeves and simulated annealing. The effectiveness of these methods is tested on a multimodal trigonometric function. The methods are used for multipoint optimization of 3D blading of the LP turbine stage group, giving considerable efficiency gains in the investigated range of load.

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