Course detail

Operations Research

FAST-BA05Acad. year: 2011/2012

Models in operations research.
Theory of graphs and networks, optimization graph algorithms.
Project scheduling.
Linear programming, general, integer problems.
Transportation and assignment.
Queueing analysis.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. RNDr. Jiří Novotný, CSc.

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Learning outcomes of the course unit

Knowledge of basic notions and properties of graphs and networks, linear programming problems and queueing analysis.

Prerequisites

The basics of linear algebra
The basics of probability theory
The basics of statistics
Spreadsheets

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Requirements for successful completion of the subject are specified by guarantor’s regulation updated for every academic year.

Course curriculum

1. Models in operations research
2. Definition of a graph and its description
3. Eulerian a Hamiltonian graphs
4. Minimum spanning tree, maximal flow in a network, optimal paths in graphs
5. Critical Path Method, Program Evaluation and Review Technique
6. Source analysis
7. Types of linear programming problems
8. Simplex method
9. Integer problems
10. Transportation problems
11. Assignment problems
12. Introduction into the queueing theory
13. Optimization of queueing systems

Work placements

Not applicable.

Aims

After the course, students should understand the basic notions and properties of graphs and networks, linear programming problems and queueing analysis. They should master the basics of calculus and be able to apply their knowledge in the follow-up courses.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

GROSS, Jonathan a YELLEN, Jay: Graph Theory and its applications. New York: CRC Press, 1998. (EN)
ŠUBRT, Tomáš: Ekonomicko-matematické metody. Plzeň: VN Aleš Čeněk, 2011. ISBN: 978-80-7380-345-2. (CS)

Recommended reading

DEMEL, Jiří: Grafy a jejich aplikace. Academia, 2002. (CS)
NOVOTNÝ, Jiří: Základy operačního výzkumu. FAST, 2006. (CS)
TAHA, Hamdy, A.: Operations research. An introduction.. New York: Macmillan Publishing Company, 1992. (EN)

Classification of course in study plans

  • Programme B-K-C-SI Bachelor's

    branch E , 3 year of study, summer semester, compulsory

  • Programme B-P-C-SI Bachelor's

    branch E , 3 year of study, summer semester, compulsory

  • Programme B-P-E-SI Bachelor's

    branch E , 3 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. RNDr. Jiří Novotný, CSc.

Exercise

26 hod., compulsory

Teacher / Lecturer

doc. RNDr. Jiří Novotný, CSc.