Infopaket

Methods of system modeling

ВК.4.05.02

Вибіркова дисципліна для ОП

First

2023/2024

6 Semester

3

PLO2. Use modern mathematical apparatus of continuous and discrete analysis, linear algebra, and analytical geometry to solve theoretical and applied problems in the design and implementation of informatization objects. PLO3. Demonstrate knowledge of the laws of random phenomena, their properties and operations on them, models of random processes, and modern software environments for solving problems of statistical processing of experimental data and construction of predictive models. PLO6. Demonstrate understanding of the principles of modeling of organizational and technical systems and operations; methods of operations research, solving one - and multicriteria optimization problems of linear, integer, nonlinear, stochastic programming. PLO7. Be able to apply the methodology of simulation modeling of objects, processes, and systems, plan and conduct experiments with models, make decisions about achieving the goal based on the results of modeling.

Full-time form

To successfully study the discipline "Methods of systems modeling" the student must meet the following requirements: 1. Successful mastering of courses: 1) Mathematical analysis. 2) Linear algebra. 3) Differential equations. 4) Probability theory and mathematical statistics. 5) Programming. 2. Knowledge: 1) Theoretical bases and methods of construction, verification, and research of qualitative characteristics of systems. 2) Principles of building stationary, dynamic, and simulation models. 3. Skills: 1) Solve systems of linear algebraic equations. 2) Solve differential equations. 3) Analyze the systems being modeled. 4) Test statistical hypotheses. 4. Possession of: 1) Basic skills in programming and using application packages for numerical analysis (WOLFRAM MATHEMATICA, EXCEL, Python). 2) Skills at the application of mathematical apparatus in the construction and analysis of mathematical and simulation models.

The purpose of the discipline is to acquire theoretical and practical knowledge in the field of systems modeling. Mastering the methods and algorithms of construction and analysis of mathematical and simulation models of systems operation. Study of methods of modeling systems and queuing networks.

1. Stoyan, V.A. (2019). Matematicheskoe modelirovanie dinamiki nepolno nablyudaemykh lineynykh prostranstvenno raspredelennykh sistem: Monografiya. K., VPTs “Kievskiy universitet”. 2. Tomashevskyi, V.M. (2005). Modeliuvannia system. K., Vydavnycha hrupa VNU. 3. Stetsenko, I.V. (2010). Modeliuvannia system: navch. posib. Cherkasy, ChDTU. 4. Petrov, A.V. (2000). Modelirovanie sistem. Uchebnoe posobie. Irkutsk, Izd-vo Irkutskogo gosud. Tekhn. Un-ta. 5. Samarskiy, A.A., & Mikhaylov A.P. (1997). Matematicheskoe modelirovanie. M., Nauka.

Lectures, off-class work, study of literature sources recommended.

Semester evaluation: A maximum number of points that can be received by a student: 100 points: 1. Lab work №1: - 20/12 points. 2. Lab work №2: - 20/12 points. 3. Lab work №3: - 20/12 points. 4. Lab work №4: - 20/12 points. 5. Test №1: - 20/12 points. Final evaluation (credit): According to paragraphs. 4.6.1 and 7.1.5 "Regulations on the organization of the educational process at the Taras Shevchenko National University of Kyiv " credit is based on the current control (see semester assessment) as the sum of grades/scores on all successfully evaluated learning outcomes; scores below the minimum threshold are not included to the final score.

Ukrainian