157-0580/01 – Quantitative Methods (QM)
Gurantor department | Department of Systems Engineering | Credits | 6 |
Subject guarantor | doc. Mgr. Ing. František Zapletal, Ph.D. | Subject version guarantor | prof. Ing. Jana Hančlová, CSc. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | summer |
| | Study language | English |
Year of introduction | 2009/2010 | Year of cancellation | 2016/2017 |
Intended for the faculties | EKF | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
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.
Teaching methods
Lectures
Tutorials
Project work
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.
Compulsory 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
Recommended 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
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
1 test of Network models
1 project of Network Planning
2 projects of Linear Programming
presence in tutorial ( at least 50% participation)
Prerequisities
Co-requisities
Subject has no co-requisities.
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
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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