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Local Smoothing Approximation in Hybrid Algorithm of Optimization of Hydromechanical Systems

Authors: Sulimov V.D. Published: 17.10.2013
Published in issue: #3(38)/2010  
DOI:

 
Category: Mathematics and Mechanics  
Keywords: global optimization, criterion function, Lipschitz condition, smoothing approximation, hybrid algorithm, local convergence, hydromechanical system

Problems of global optimization of hydromechanical systems with continuous not everywhere differentiable criterion-functions are considered. The hybrid algorithm is proposed which combines the PCA stochastic algorithm and linearization method. A variant of the linearization method for local optimization problems is implemented on the basis of construction of smoothing approximations of criteria, and necessary conditions of optimality are formulated. The algorithm's local convergence is investigated. A numerical example is given of solving problems to diagnose the phase composition of the heat-transport medium in the reactor plant loop using spectral data.