Mathematical Economics 1
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
818ME1 | Z,ZK | 5 | 2P+2C | Czech |
- Garant předmětu:
- Lecturer:
- Tutor:
- Supervisor:
- Department of Software Engineering
- Synopsis:
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The aim of this course is to provide students with a knowledge of the selected models for economics decision. The focus is put on linear models, scheduling projects and project management.
- Requirements:
- Syllabus of lectures:
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1. Economic models and their classification - introduction
2. Formulation of mathematical programming problems with a focus on linear models
3. Transport problem and its solution: MODI method, solution under various types of restrictions
4. Degeneration, multistage transport problem
5. Assignment problem and circular problem and its solution method: Hungarian method
6. Application of graph theory in economics: finding the minimum skeleton of the graph, maximum flow of networks, searching for minimum or maximum path length in the graph.
7. Project management: CPM method
8. Project management: time cost analysis of projects, resource analysis
9. Project management: PERT method
10. Deterministic models of inventory management: EOQ, POQ
- Syllabus of tutorials:
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The structure of exercises is identical to lectures. Exercises are focused on typical problems from each topic.
1. Economic models and their classification - introduction
2. Formulation of mathematical programming problems with a focus on linear models
3. Transport problem and its solution: MODI method, solution under various types of restrictions
4. Degeneration, multistage transport problem
5. Assignment problem and circular problem and its solution method: Hungarian method
6. Application of graph theory in economics: finding the minimum skeleton of the graph, maximum flow of networks, searching for minimum or maximum path length in the graph.
7. Project management: CPM method
8. Project management: time cost analysis of projects, resource analysis
9. Project management: PERT method
10. Deterministic models of inventory management: EOQ, POQ
- Study Objective:
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Knowledge: The aim of this course is to provide students with principal methods for economic decisions
Abilities: Students wil be equipped with ability to optimally select and use an appropriate method for their decision making processes.
- Study materials:
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Mandatory reading:
[1] Taha, H. A.. Operations Research: An Introduction, 10e. London: Pearson, 2017.
[2] Rardin, R. L.. Optimization in Operations Research, 2e. London: Pearson, 2015.
Recommended reading:
[3] Pelikán, J., Chýna, V.. Kvantitativní management. Praha: VŠE, 2011.
[4] Demel, J.. Grafy a jejich aplikace, 2e. Praha: ČVUT, 2015.
- Note:
- Further information:
- No time-table has been prepared for this course
- The course is a part of the following study plans: