Infopaket

Problems of applied systems analysis  

ОК.17

Обов’язкова дисципліна для ОП

Second

2021/2022

2 Semester

4

The student must know: setting practical problems, which use methods of systems analysis; methods of estimating random variables from observations; methods of estimating random variables in conditions of uncertainty; methods for estimating solutions of linear algebraic equations and difference equations when observing their solutions; methods of finding equilibria in conflict conditions for difference equations. The student must be able to apply methods of estimating parameters and methods of finding equilibria in the system analysis of processes described by algebraic or difference equations.  

Full-time form

The student must know the basics of probability theory and mathematical statistics. The student must know the basics of decision theory. The student must know optimization methods.

Examples of practical problems where methods of systems analysis are used. Methods for finding linear root-mean-square estimates of random variables from observations. Root-mean-square linear estimates of solutions of linear algebraic equations. Statistical estimates of the parameters of difference equations. Methods of finding equilibria for linear equations in conflict conditions. System analysis of processes described by difference equations.

1. Beiko I.V., Zinko P.M., Nakonechny O.G. Problems, methods and algorithms of optimization. - K .: VPC "Kyiv University", 2012. - 799 p. 2. Gihman I.I., Skorokhod A.V. Introduction to the theory of random processes. - M., 1977. - 568 p. 3. Nakonechny O.G., Shevchuk Y.M. Nonlinear problems of population dynamics and their application. - K.: VPC "Kyiv University", 2020. - 189 p. 4. Moiseev N.N. Mathematical problems of systems analysis. - М .: Nauka, 1981. - 487 p. 5. Zhukovsky V.I., Kudryavtsev K.N. Conflict and application balancing. - M., URSS, 2012. –304 p. 6. Pentl R. Methods of systems analysis of the environment. - М .: Мир, 1979. - 215 с. 7. Glushkov V.M. On forecasting based on expert assessments // Cybernetics. - 1969. - №2. 8. Novoseltsev V.N., Tarasov B.V. Theoretical foundations of systems analysis. - M.: Major, 2013. - 536 p. 9. Saati T.L. Application of solutions in dependencies and feedback. Analytical networks. - LKN Publishing House, 2008. - 360 p.

Lectures, independent study.

Test, exam.

ukrainian