Novozhylova M. Маthematical mоdels and solution methods for nonlinear problems of placement of geometric objects

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0499U003188

Thesis Registration Form

0499U003188.pdf

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

25-11-1999

Specialized Academic Board

Д 64.180.01

A. Podgorny Institute of Mechanical Engineering Problems of the National Academy of Sciences of Ukraine

Essay

Worked out are new models of optimization problems of non-regular placement of oriented and non-oriented 2D and 3D geometric objects in isotropic and non-isotropic placement regions having variable metric characteristics. Investigation methods - optimization geometric design, operation research. Сreated and analyzed is the apparatus of structures of non-linear inequalities describing basic geometric restrictions of the optimization placement problems being considered. New method searching for local (global) minimum of the placement has been proposed. Algorithmic and program implementations of the solution methods accompanied with computation complexity evaluations have been described. Software is planed to itulise in scientific investigations and under development of CAD/CAM systems for ligth and metal industries.

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Files

4_78.DOC

CONTENT.DOC

LITERAT.DOC

LITERA_6.DOC

NAZVANIE.doc

R4_10.DOC

R4_13.DOC

R4_4_5.DOC

R4_67.DOC

R4_9.DOC

R5_1.DOC

R5_2.DOC

R5_3.DOC

RIS_4_7.DOC

RIS_4_8.DOC

RIS_4_9.DOC

ROZDIL_2.DOC

ROZD_1.DOC

RZDIL_1.DOC

RZDIL_2.DOC

RZDL3_1.DOC

RZDL_3_4.DOC

R_3_1.DOC

R_3_6.DOC

VISNOV.DOC

VISNOV_6.DOC

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