MU11150 Mathematical Methods in Economics and Management II

Mathematical Institute in Opava
Summer 2019
Extent and Intensity
3/2/0. 6 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. Karel Hasík, Ph.D.
Mathematical Institute in Opava
Prerequisites (in Czech)
MU11149 Math. Meth. in Econ. Manag. I
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
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.
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).
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2009, Summer 2010, Summer 2011, Summer 2012, Summer 2013, Summer 2014, Summer 2015, Summer 2016, Summer 2017, Summer 2018, Summer 2020, Summer 2021, Summer 2022, Summer 2023, Summer 2024.
  • Enrolment Statistics (Summer 2019, recent)
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