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Terminated in academic year 2016/2017

Quantitative Methods

Type of study Bachelor
Language of instruction English
Code 157-0580/01
Abbreviation QM
Course title Quantitative Methods
Credits 6
Coordinating department Department of Systems Engineering and Informatics
Course coordinator prof. Mgr. Ing. František Zapletal, Ph.D.

Subject syllabus

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

Literature

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

Advised literature

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