INMBAOPA Operational Analysis

School of Business Administration in Karvina
Winter 2022
Extent and Intensity
2/1/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Radomír Perzina, Ph.D. (lecturer)
Guaranteed by
Ing. Radomír Perzina, Ph.D.
Department of Informatics and Mathematics – School of Business Administration in Karvina
Contact Person: Mgr. Radmila Krkošková, Ph.D.
Timetable
Thu 10:35–12:10 A412
  • Timetable of Seminar Groups:
INMBAOPA/01: Thu 12:15–13:00 A412, R. Perzina
Prerequisites (in Czech)
FAKULTA(OPF) && TYP_STUDIA(B) && FORMA(P)
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.

The capacity limit for the course is 10 student(s).
Current registration and enrolment status: enrolled: 0/10, only registered: 0/10
fields of study / plans the course is directly associated with
Syllabus
  • 1. Principles and methods of Operational Analysis
    History and principles of Operational Analysis, stages in application of Operational Analysis, classification of Operational Analysis branches.
    2. Linear programming
    Economical and mathematical model, economical meaning of particular parts of mathematical model, basic elements of linear programming (LP), graphic representation of a feasible solutions set of a two-variables LP problem and solving the problem. General economical and mathematical model, base solutions of a linear programming model. The principle of Simplex method, the number of LP problem optimal solutions determination, solving the LP problem by Excel Solver.
    3. Duality in linear programming
    Duality as a relation between two LP problems, construction of dual problem, relations between primal and dual problem, economical interpretation of optimal solutions of both problems, sensitivity analysis.
    4. Application of linear programming
    Construction of the mathematical model for the following problems: Cutting stock problem, Nutrition problem, Financial project analysis, Portfolio optimization problem, Production problem, Transportation Problem. Solving the problems by Excel. Interpretation of results.
    5. Optimization problems on graphs
    Basic elements, basic definitions. Planar graph, complete graph, loop, cycle. Minimal spanning tree algorithm, Eulerian path, the shortest path and maximal flow algorithms.
    6. Project Management
    Project graph, project analysis by critical path method – CPM. Project analysis by method PERT, basic characteristics of project analysis, i.e. mean value of activity time, standard deviation of activity time, mean value of project completion time and standard deviation of project completion time, probability of finishing the project in planned time.
Language of instruction
English
The course is also listed under the following terms Winter 2021, Summer 2023.
  • Enrolment Statistics (Winter 2022, recent)
  • Permalink: https://is.slu.cz/course/opf/zima2022/INMBAOPA