MU:MU24150 Math. Methods in Econ. and Man - Course Information
MU24150 Mathematical Methods in Economics and Management II
Mathematical Institute in OpavaSummer 2018
- Extent and Intensity
- 3/2/0. 2 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
Ing. Jan Melecký, Ph.D. (seminar tutor) - Guaranteed by
- doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava - Prerequisites (in Czech)
- MU24149 Math. Methods in Econ. and Man
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, N1101)
- Course objectives
- Students will learn the basic mathematical algorithms that find their application in practice. The subject matter discussed is practiced using simple examples. The aim of this training is a deeper understanding of the discussed methods that enable students to effectively make use of computer technology, the deployment of which in analogous problems on a larger scale is necessary.
- Syllabus
- 1. Selected topics from the game theory: games with mixed strategies, games against nature, solution algorithms.
2. Mathematical models for service waiting. Queuing theory. Model examples.
3. Input and its characteristics, service systems and their statistical analysis. Queuing mode, service mode, Kendall's classification of queuing systems, 3-element and 6-element.
4. Role of exponential distribution and its properties, relationship to Poisson distribution. Birth and death process. Erlang distribution. Logistic variables of queuing theory.
5. Operation intensity, the mean number of costumers in a service system, queue length and waiting time in M/M/1 system and M/M/s system.
6. Management and optimization of queuing systems using Excel.
7. Applications.
8. Stock and store theory, basic notions. Wilson I, II, III models. Deterministic models, stochastic models, P and Q models, P models with insurance stock.
- 1. Selected topics from the game theory: games with mixed strategies, games against nature, solution algorithms.
- Literature
- recommended literature
- F. S. Hillier, G. J. Lieberman. Introduction to operations research. New York, 2010. ISBN 978-007-132483-0. info
- J. Jablonský. Operační výzkum. Kvantitativní modely pro ekonomické rozhodování. Praha, 2007. ISBN 978-80-86946-44-3. info
- J. Ramík a kol. Operační analýza. OPF SU, Karviná, 2004. info
- I. Gros. Kvantitativní metody v manažerském rozhodování. Grada, Praha, 2003. ISBN 80-247-0421-8. info
- Š. Peško, J. Smieško. Stochastické modely operačnej analýzy. Žilinská univerzita, Žilina, 1999. ISBN 80-7100-570-3. info
- M. Maňas a kol. Matematické metody v ekonomice. Praha, 1991. info
- J. Kožíšek. Operační a systémová analýza II. ČVUT, Praha, 1991. info
- J. Dudorkin. Operační výzkum. ČVUT, Praha, 1991. info
- R. Hušek, M. Maňas. Matematické modely v ekonomii. Praha: SNTL, 1989. info
- Kluvánek, Brandalík. Operačná analýza I - teorie hromadné obsluhy. Alfa, Bratislava, 1981. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- Active participation in lectures and tutorials in particular.
Development of a project within the specified range and term and its successful defense.
Pass knowledge tests.
Pass the exam (written and oral).
- Enrolment Statistics (Summer 2018, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2018/MU24150