| Course Unit Code | 157-0580/01 |
|---|
| Number of ECTS Credits Allocated | 6 ECTS credits |
|---|
| Type of Course Unit * | Choice-compulsory |
|---|
| Level of Course Unit * | First Cycle |
|---|
| Year of Study * | |
|---|
| Semester when the Course Unit is delivered | Summer Semester |
|---|
| Mode of Delivery | Face-to-face |
|---|
| Language of Instruction | English |
|---|
| Prerequisites and Co-Requisites | |
|---|
| Prerequisities | Course Unit Code | Course Unit Title |
|---|
| 151-0560 | Basic Mathematics |
| Name of Lecturer(s) | Personal ID | Name |
|---|
| ZAP149 | doc. Mgr. Ing. František Zapletal, Ph.D. |
| Summary |
|---|
The main emphasis is placed on the creation and application of economic and
mathematics models for the support of managerial decision making. Students
will acquire knowledge of character, substance, application areas and the
level
of utilization of operations research models and particular methods (i.e.
linear programming, network modeling, decision theory) and will be trained
in their applications particulary with PC use. |
| Learning Outcomes of the Course Unit |
|---|
| The objective of the course is to familiarize students with the basic theoretical aspects of linear optimization models, which makes it possible for them to analyze and solve practical optimization problems, with network planning and with queuing theory. |
| Course Contents |
|---|
1. Linear Programming - The Graphical Method
A Simple Maximization Problem. Graphical Solution.
A Simple Minimization Problem. Special Cases
2. Linear Programming – The Simplex Method
Tableau Form. Improving the Solution. The General Case.
Special Cases
3. Linear Programming – Duality.
4. Transportation Problems
5. Linear Programming Applications
Marketing Applications. Production Management Applications
6. Network models
The Shortest Route Problem. Minimal Spanning Tree Problem. The Maximal Flow Problem.
7. Network Planning. CPM Network
Project Scheduling with CPM. Network Construction. The Critical Path. Contribution of CPM.
8. Decision Theory. Decision Analysis, Decision Trees
9. Game Theory. Strategies. Solution by Linear Programming
|
| Recommended or Required Reading |
|---|
| Required Reading: |
|---|
Carter, Michael V., Price, Camille C.: Operation Research: A Practical Introduction, CRC Press LLC, USA 2001
Bronson, R., Naadimuthu, G.: Operation Research, 2nd Edition, McGraw- Hill, USA 1997
French, S., Hartley, R., Thomas, L.C.T., White, D.J.: Operational Research Techniques. Routledge, Chapman and Hall,Inc., New York 1991
Hillier, F.S., Liberman, G.J.: Introduction to Operations Research and Revised CD-ROM 8
McGraw-Hill2004
Littlechild, S. C.,, Shutler, M.: Operations Research in Management. Prentice Hall, New York
1991.
Wisniewski, M.: Quantitative Methods for Decision Makers. 4th Edition - Prentice Hall 2006
|
Carter, Michael V., Price, Camille C.: Operation Research: A Practical Introduction, CRC Press LLC, USA 2001
Bronson, R., Naadimuthu, G.: Operation Research, 2nd Edition, McGraw- Hill, USA 1997
French, S., Hartley, R., Thomas, L.C.T., White, D.J.: Operational Research Techniques. Routledge, Chapman and Hall,Inc., New York 1991
Hillier, F.S., Liberman, G.J.: Introduction to Operations Research and Revised CD-ROM 8
McGraw-Hill2004
Littlechild, S. C.,, Shutler, M.: Operations Research in Management. Prentice Hall, New York
1991.
Wisniewski, M.: Quantitative Methods for Decision Makers. 4th Edition - Prentice Hall 2006 |
| Recommended Reading: |
|---|
Carter, Michael V., Price, Camille C.: Operation Research: A Practical Introduction, CRC Press LLC, USA 2001
Bronson, R., Naadimuthu, G.: Operation Research, 2nd Edition, McGraw- Hill, USA 1997
French, S., Hartley, R., Thomas, L.C.T., White, D.J.: Operational Research Techniques. Routledge, Chapman and Hall,Inc., New York 1991
Hillier, F.S., Liberman, G.J.: Introduction to Operations Research and Revised CD-ROM 8
McGraw-Hill2004
Littlechild, S. C.,, Shutler, M.: Operations Research in Management. Prentice Hall, New York
1991.
Wisniewski, M.: Quantitative Methods for Decision Makers. 4th Edition - Prentice Hall 2006 |
Carter, Michael V., Price, Camille C.: Operation Research: A Practical Introduction, CRC Press LLC, USA 2001
Bronson, R., Naadimuthu, G.: Operation Research, 2nd Edition, McGraw- Hill, USA 1997
French, S., Hartley, R., Thomas, L.C.T., White, D.J.: Operational Research Techniques. Routledge, Chapman and Hall,Inc., New York 1991
Hillier, F.S., Liberman, G.J.: Introduction to Operations Research and Revised CD-ROM 8
McGraw-Hill2004
Littlechild, S. C.,, Shutler, M.: Operations Research in Management. Prentice Hall, New York
1991.
Wisniewski, M.: Quantitative Methods for Decision Makers. 4th Edition - Prentice Hall 2006 |
| Planned learning activities and teaching methods |
|---|
| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
|---|
| Tasks are not Defined |