MU11150 Mathematical Methods in Economics and Management II

Mathematical Institute in Opava
Summer 2024
Extent and Intensity
3/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Zdeněk Kočan, Ph.D. (lecturer)
RNDr. Oldřich Stolín, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Zdeněk Kočan, Ph.D.
Mathematical Institute in Opava
Timetable
Mon 9:45–12:10 R2
  • Timetable of Seminar Groups:
MU11150/01: Tue 12:15–13:50 LVT1, O. Stolín
Prerequisites (in Czech)
MU11149 Math. Meth. in Econ. Manag. I && TYP_STUDIA(B)
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
A student knows other basic mathematical notions, assertions, problems and solutions of problems that find their application in practice, especially economic, and can use them for solutions of practical problems.
Syllabus
  • Stock and store theory:
    - basic notions, deterministic models
    - stochastic models
    - P and Q models, P models with insurance stock
    Queuing theory:
    - model examples, input and its characteristics, service systems and their statistical analysis
    - queuing mode, service mode, Kendall's classification of queuing systems, birth and death process
    - 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
Literature
    required 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
    recommended literature
  • N. Balakrishnan, B. Render, R. M. Stair, Jr. Managerial Decision Modeling with Spreadsheets. New Jersey: Prentice Hall, 2007. ISBN 0-13-195114-9. 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)
Study Materials
The course can also be completed outside the examination period.
Teacher's information
To get the course-credit,
1. Obtain a total of at least 65 % points from the prescribed/scored forms of knowledge testing.
2. Development of a project within the specified range and term and its successful defense.
To pass the exam, to prove at least basic knowledge of the taken subject on the written and the oral parts of the examination.
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 2019, Summer 2020, Summer 2021, Summer 2022, Summer 2023.
  • Enrolment Statistics (recent)
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