157-0580/02 – Quantitative Methods (QM)

Gurantor departmentDepartment of System EngineeringCredits4
Subject guarantordoc. Mgr. Ing. František Zapletal, Ph.D.Subject version guarantordoc. Mgr. Ing. František Zapletal, Ph.D.
Study levelundergraduate or graduate
Study languageEnglish
Year of introduction2014/2015Year of cancellation2016/2017
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
ZAP149 doc. Mgr. Ing. František Zapletal, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 2+0

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

Další požadavky na studenta

1 test of Network models 1 project of Network Planning 2 projects of Linear Programming presence in tutorial ( at least 50% participation)

Prerequisities

Subject codeAbbreviationTitleRequirement
151-0560 BasicM Basic Mathematics Recommended

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

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Incoming Students 2016/2017 Full-time English Choice-compulsory 163 - International Office stu. block
Incoming Students 2015/2016 Full-time English Choice-compulsory 163 - International Office stu. block
Incoming Students 2014/2015 Full-time Czech Choice-compulsory 163 - International Office stu. block