Introduction to operations research
Course: System Analysis
Structural unit: Faculty of Computer Science and Cybernetics
            Title
        
        
            Introduction to operations research
        
    
            Code
        
        
            Module type 
        
        
            Обов’язкова дисципліна для ОП
        
    
            Educational cycle
        
        
            First
        
    
            Year of study when the component is delivered
        
        
            2022/2023
        
    
            Semester/trimester when the component is delivered
        
        
            3 Semester
        
    
            Number of ECTS credits allocated
        
        
            5
        
    
            Learning outcomes
        
        
            Know the basics of linear programming theory.
Know the basic provisions of the theory of duality, the provisions of the transport problem of linear programming, the theory of algorithms on graphs, the theory of algorithms for finding the shortest path.
Know the basic principles of the theory of algorithm for finding the maximum flow on the network, the theory of search algorithms in width and depth (BFS, DFS).
Be able to develop discrete and continuous mathematical models, correctly apply the methods of mathematical analysis to solve applied problems.
Be able to build efficient algorithms for the accuracy of calculations, performance and cost of system resources for numerical study of mathematical models.
Be able to choose rational methods and algorithms for solving mathematical problems of optimization, operations research, optimal control and decision making, data analysis.
        
    
            Form of study
        
        
            Full-time form
        
    
            Prerequisites and co-requisites
        
        
            To study the discipline "Introduction to Operations Research" the student must meet the following requirements:
  Successful mastering of courses:
1. Algebra and geometry.
2. Mathematical analysis.
 Know:
1. Theory of linear algebra, construction of the basis, solution of systems of linear algebraic equations;
2. classical methods of mathematical analysis, probability theory.
 Be able:
1. to study the qualitative characteristics of the constructed mathematical models.
2. formulate mathematical optimization problems for such models.
3. apply classical methods for the study of applied problems of mathematical programming.
 Have:
1. skills of using classical methods of mathematical analysis and theory of linear algebra.
2. skills of search and analysis of information in open sources.
        
    
            Course content
        
        
            The discipline "Introduction to Operations Research" is part of the educational and professional training program for the first (bachelor's) level of higher education in the field of knowledge 12 "Information Technology" in the educational and professional program "Systems Analysis". The discipline "Introduction to Operations Research" is a compulsory subject in the educational program "Systems Analysis". It is taught in the 3rd semester of the 2nd year in the amount of 150 hours.
        
    
            Recommended or required reading and other learning resources/tools
        
        
            1. Nefedov Yu. M. Methods of optimization in examples and problems: textbook / Yu. M. Nefedov, T. Yu. Balytska. - Київ: Кондор, 2011. - 324 с.
2. Zaichenko YP Research operations. Textbook / Yu. P. Zaichenko. - 7th ed., Reworked. and add. - Kyiv: Slovo Publishing House, 2006. - 816 p.
3. Dziuban IY Methods of research operations / IY Dziuban, OL Zhirov, OG Okhrimenko. - Kyiv: IPC "Polytechnic Publishing House", 2005. - 108 p.
4. Nakonechny SI Mathematical programming: textbook. way. / SI Nakonechny, SS Savina. - Kyiv: KNEU, 2003. - 452 pp. Research of operations in economics: textbook / ed. IK Fedorenko, OI Chernyak. - Kyiv: Knowledge, 2007. - 558 p. - (Higher education of the XXI century).
        
    
            Planned learning activities and teaching methods
        
        
            Lecture, laboratory work, independent work
        
    
            Assessment methods and criteria
        
        
            Current assessment, tests
        
    
            Language of instruction
        
        
            Ukrainian
        
    Lecturers
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The following departments are involved in teaching the above discipline