# Operations Research I

- Credits: 7
- Ending: Examination
- Range: 2P + 2C
- Semester: winter
- Year: 2
- Faculty of Economic Informatics

## Teachers

## Included in study programs

**Teaching results**

Upon successful completion of the course, students will acquire the following knowledge:

- knowledge of operations research to analyze economic phenomena and processes,

- knowledge of operations research to model economic phenomena and processes.

- knowledge of operations research to evaluate and set strategies for economic processes.

Upon successful completion of the course, students will acquire the following skills:

- ability to use models and methods of operations research,

- ability to work with adequate software to solve operations research problems.

Upon successful completion of the course, students will acquire the following competencies:

- practical skills and competences with the application of models and methods of operations research in the analysis of economic problems in the field of economic practice using adequate software.

**Indicative content**

1. Quantitative approach to management. Management and operations research, mathematical models and methods in economics.

2. Classification of standard models and methods. Stages of problem solving. Mathematical apparatus for basic models of operations research.

3. Structural models of the company. Basic structure of the model, direct and full consumption coefficients of internal and external sources.

4. Optimization methods for business management.

5. Mathematical programming problems. The essence of linear programming.

6. Formulation of linear programming problems. Geometric solution of linear programming problems.

7. Solving linear programming problems by simplex method.

8. Duality in linear programming problems. Economic interpretation of duality.

9. Sensitivity analysis of the optimal solution of the linear programming problem.

10. The essence of distribution problems. Transport problems and their properties.

11. Formulation of balanced and unbalanced transport problems.

12. Solving of balanced and unbalanced transport problems. Problems of degeneration.

13. Different types of assignment problems and solution of these tasks.

**Support literature**

1. Brezina, I., Pekár, J.: Úvod do operačného výskumu I. Letra Edu. 2018.

2. Brezina, I., Pekár, J.: Úvod do operačného výskumu II. Letra Edu. 2019.

3. Brezina, I., Pekár, J: Operačná analýza v podnikovej praxi. Bratislava: Vydavateľstvo EKONÓM 2014

4. Ivaničová, Z., Brezina, I., Pekár, J.: Operačná analýza. Bratislava: IURA Edition 2007

5. Chocholatá, M., Čičková, Z., Furková, A.: Operačná analýza. Zbierka príkladov. Bratislava: IURA Edition 2008.

6. Ivaničová, Z., Brezina, I., Pekár, J.: Operačný výskum, IURA Edition, Bratislava 2002

7. Taha, H.A.: Operations Research: An Introduction 10th Edition. Prentice Hall, New Jersey 2017

8. Eiselt, H. A., Sandblom, C.-L.: Operations Research. Springer 2012.

**Requirements to complete the course**

30 % work at seminars and writing of projects

70 % combined final exam

**Student workload**

182 hours

26 hours lecture attendance

26 hours seminar attendance

26 hours preparation for lectures

26 hours preparation for seminars

26 hours writing a seminar paper

52 hours preparation for final exam

**Language whose command is required to complete the course**

Slovak

Date of approval: 11.03.2024

Date of the latest change: 16.05.2022