# Operations Research II

- Credits: 6
- Ending: Examination
- Range: 2P + 2C
- Semester: summer
- 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. Basic types of network analysis problems. Network analysis and linear programming.

2. The problem of the shortest path in the network.

3. The traveling salesman problem. Nearest neighbour algorithm.

4. The essence of finding a critical path. CPM method.

5. Models of scheduling operations. Moore's algorithm.

6. Smith's algorithm.

7. Lawler's algorithm.

8. Inventory modeling. Nature and classification of inventory models. Deterministic inventory models. Inventory models without deficit and with deficit.

9. Modeling of queuing problems. Basic concepts and elements of queuing problem models. Basic models of queuing problems. Models without waiting.

10. Queuing problem models with waiting.

11. Optimization in queuing problem models.

12. Modeling of recovery processes. Recovery models with simple reproduction with a homogeneous and with a diverse initial age structure.

13. Modeling of recovery strategy.

**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, Carl-Louis: Operations Research. Springer 2012.

**Requirements to complete the course**

30 % work at seminars and writing of projects

70 % combined final exam

**Student workload**

156 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

26 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