Yefimenko A. Model and optimal control structure of information and communications companies in competition

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0413U003986

Applicant for

Specialization

  • 01.05.04 - Системний аналіз і теорія оптимальних рішень

25-06-2013

Specialized Academic Board

Д 26.001.35

Taras Shevchenko National University of Kyiv

Essay

The dissertation analyzes methods and models of investment activity of enterprises in a competitive analysis and management business competitiveness and optimize investment and analysis requirements for DSS decision support for optimal control structure information and communication business. Further work is considered: a model of the structure of information and communica-tions company; optimal control model of information and communication now in competi-tion based on diffusion model Lotka-Voltterra, the maximum principle and a priori esti-mates for solutions of classical diffusion system of Lotka-Voltterra; solution 2N-system-tray-Voltaire split logistic model for the problem of competition. Also in the paper the sufficient conditions for the existence of solution of optimal control problem; difference scheme for the diffusion model of Lotka-Voltterra with dis-continuous coefficients, numerical algorithm for solving the optimal control problem. Methods of solution of this problem is illustrated by testing examples that prove its effec-tiveness. The results are embodied in designed by DSS for which in the developed physical model of the system. Efficiency DSS validated The results of the system to model example of information-communication company. Keywords: information and communications company, competition, hierarchical model of Lotka-Volterra system, the system of quasilinear equations of parabolic type, methods of removing uncertainty, maximum principle, optimal control.

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