METHOD OF SEARCHING FOR EXTREME OF MULTIDIMENSIONAL FUNCTIONS IN SOLVING ENGINEERING PROBLEMS OF COMBINE HARVESTERS

Authors

  • L. Titova National University of Life and Environmental Sciences of Ukraine, Heroiv Oborony Street, 15, Kyiv, 03041, Ukraine

Keywords:

optimization methods, gradient descent method, stochastic gradient, quasi-Newtonian methods, objective function

Abstract

This article is devoted to the analysis of the most common optimization methods used in practical engineering
problems of finding the extremum of multidimensional functions and forming on the basis of the identified properties
of recommendations for choosing the best on different data sets. In the process of analysis, various implementations
of gradient descent methods, impulse methods, adaptive methods and quasi-Newtonian methods were considered, the
advantages and problems of each of the methods in their use were generalized. A computer program has been
developed that implements all the considered methods. A computational experiment on three functions showed that
the most effective methods were zero-order Rosenbrock and zero-order Powell.

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Published

2021-05-05

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