Registration Number
0225U003628,
(0122U201260)
, R & D reports
Title
The development and application of mathematical methods to economics and technics in modern conditions
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Практичне застосування розроблених математичних методів
Head
Maliarets Liudmyla M., д.е.н.
Registration Date
24-07-2025
Organization
Simon Kuznets Kharkiv National University of Economics
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A theoretical interpretation and a practical implementation of the mathematical methods for the development of mathematical models which are used in the process of solving real problems in economics and technics
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Objects of the study are the process of determining strategic guidelines for the development of export-import activities of an enterprise; potential fields in thin multi-sheet book structures composed of circular half-rings; software implementation of Little’s method on the example of the traveling salesman problem.
The purposes of the work are to develop a methodological support for determining strategic guidelines for the development of export-import activities of an enterprise, which involves substantiation of the system of partial indicators, analysis of the dynamics of influencing factors, forecasting on the basis of growth curves and the use of methods of multivariate factor and cointegration analysis; to develop a single analytical method for the exact solution of boundary value problems of field theory in thin multilayer plates formed from circular semicircles; to analyze the peculiarities of the potential field distribution for different types of boundary conditions and physical properties of components; to develop a software implementation of Little’s method using a heuristic approach to find the shortest routes.
As a result of the research, the methodological support for determining strategic guidelines for the development of export-import activities of an enterprise using integrated taxonomic indicators was developed; forecasting and factor analysis taking into account the dynamics of key factors and cointegration relationships of economic indicators were conducted; a method of symmetry of boundary conditions, which allows obtaining exact solutions to Dirichlet, Neumann and mixed problems in complex geometries was proposed; the software implementation of Little's method algorithm was improved by using a heuristic approach and its efficiency and speed for finding the optimal route were tested.
METHODOLOGICAL SUPPORT, STRATEGIC GUIDELINES FOR EXPORT-IMPORT ACTIVITY, FACTOR ANALYSIS
Product Description
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Denysova Tetiana V.
Misiura Yevheniia Yu.
Maliarets Liudmyla M.
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2025-07-24