Kovalenko S. Mathematical models and methods for solving problems of combinatorial optimization in the agricultural technical system

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U004506

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

21-10-2008

Specialized Academic Board

Д 64.052.02

Kharkiv National University Of Radio Electronics

Essay

There has been offered and investigated a mathematical model of the main optimization problem taking into account specific character of the agricultural technical system, combinatorial character of basic problems and the presence in the mathematical model such parameters, that describe the condition of nature and climate. There has been offered a modification of the searching method of combinatorial optimization based on the methods of random search, that of converging vicinities, that of recession vector. Convergence of the received approximate solutions to the global extremum has been confirmed by means of numerical experiments. Relative and absolute errors of this method have been investigated. For hardware support of mathematical models of the problems of this type it is offered the procedure of making specialized computational means allowing reducing time costs for realization of mathematical models.

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