KMEMMI Mathematical Methods in Economics I

Faculty of Economics and Administration
Autumn 2008
Extent and Intensity
0/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Jiří Dvořák, CSc. (lecturer)
Guaranteed by
prof. Ing. Osvald Vašíček, CSc.
Department of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Timetable
Sun 12. 10. 12:50–16:15 aula_Vinařská, Sun 19. 10. 12:50–16:15 aula_Vinařská, Sat 8. 11. 16:20–19:30 aula_Vinařská, Sun 30. 11. 12:50–16:15 aula_Vinařská, Sun 7. 12. 8:30–11:50 aula_Vinařská
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The course presents optimisation methods applicable in economic practice, especially in management and decision making. The emphasis is on methods of linear programming, mainly on the simplex method, duality and sensitivity analysis. After that, methods of non-linear programming, integer programming and network optimisation are explored. Finally, an introduction to the solution of complex decision problems is presented including dynamic, stochastic and multi-criteria problems and problems of game theory. Students will be made familiar with the applications of the above methods in economics and the scope of knowledge of the relevant mathematical theories will be adjusted to meet this priority.
Main objectives can be summarized as follows: to acquire an overview of the existing models, methods and their applications; to understand theoretical principles of the basic methods; to be able to construct mathematical models of practical problems and solve these models using computers.
Syllabus
  • Mathematical modelling and operations research.
  • Formulation and properties of linear programming problems.
  • One-phase simplex method.
  • Two-phase simplex method.
  • Duality of linear programming problems.
  • Sensitivity analysis in linear programming.
  • Formulation and properties of nonlinear programming problems.
  • Optimality conditions for nonlinear programming problems.
  • Methods of nonlinear programming.
  • Integer programming.
  • Problems of network optimization.
  • Multi-criteria and stochastic problems.
  • Dynamic problems, problems of game theory.
Literature
  • KLAPKA, J. a kol. Metody operačního výzkumu. 2nd ed. Brno: VUT, 2000. info
  • JABLONSKÝ, Josef. Operační výzkum :kvantitativní modely pro ekonomické rozhodování. 1. vyd. Praha: Professional Publishing, 2002, 323 s. ISBN 80-86419-42-8. info
  • HILLIER, Frederick S. and Gerald J. LIEBERMAN. Introduction to operations research. 6th ed. New York: McGraw-Hill, 1995, xix, 998. ISBN 0071139893. info
  • BRONSON, Richard and Govindasami NAADIMUTHU. Schaum's outline of theory and problems of operations research. 2nd ed. New York: McGraw-Hill, 1997, vii, 456. ISBN 0070080208. info
Assessment methods
The course has the form of tutorials. The course is concluded by a written and an oral exam. Students can attend the exam if they successfully solve three homeworks.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is also listed under the following terms Autumn 2006, Autumn 2007.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/econ/autumn2008/KMEMMI