Course Details

Operations Research

Academic Year 2022/23

BAA006 course is part of 1 study plan

BPC-SI Summer Semester 1st year

Models in operations research.
Theory of graphs and networks
Optimization graph algorithms.
Project scheduling.
Linear programming, general, integer problems.
Transportation and assignment.
Queueing analysis.

Course Guarantor

Ing. Jan Holešovský, Ph.D.

Institute

Institute of Mathematics and Descriptive Geometry

Objective

After the course, students should understand the basic notions and properties of graphs and networks, linear programming problems and queueing analysis. They should master the basics of calculus and be able to apply their knowledge in the follow-up courses.

Knowledge

Knowledge of basic notions and properties of graphs and networks, linear programming problems and queueing analysis.

Syllabus

1. Models in operations research
2. Definition of a graph and its description
3. Eulerian a Hamiltonian graphs
4. Minimum spanning tree, maximal flow in a network, optimal paths in graphs
5. Critical Path Method, Program Evaluation and Review Technique
6. Source analysis
7. Types of linear programming problems
8. Simplex method
9. Integer problems
10. Transportation problems
11. Assignment problems
12. Introduction into the queueing theory
13. Optimization of queueing systems

Prerequisites

The basics of linear algebra, the basics of probability theory, the basics of statistics, Spreadsheets

Language of instruction

Czech

Credits

4 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/255885

Lecture

13 weeks, 2 hours/week, elective

Syllabus

1. Models in operations research
2. Definition of a graph and its description
3. Eulerian a Hamiltonian graphs
4. Minimum spanning tree, maximal flow in a network, optimal paths in graphs
5. Critical Path Method, Program Evaluation and Review Technique
6. Source analysis
7. Types of linear programming problems
8. Simplex method
9. Integer problems
10. Transportation problems
11. Assignment problems
12. Introduction into the queueing theory
13. Optimization of queueing systems

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus

1. EXCEL in operations research.
2. Graphs description.
3. Optimization graph algorithms.
4. Branch and bound method.
5. Tavelling salesman problem.
6. Network analysis methods.
7. Project scheduling.
8. Methods for solving linear programming problems.
9. Production planning.
10. Methods for solving distribution problems.
11. Transportation problem.
12. Integer problems methods.
13. Assignment problem. Seminar evaluation.