INMBAOPA Operational Analysis

Obchodně podnikatelská fakulta v Karviné
zima 2022
Rozsah
2/1/0. 6 kr. Ukončení: zk.
Vyučující
Ing. Radomír Perzina, Ph.D. (přednášející)
Garance
Ing. Radomír Perzina, Ph.D.
Katedra informatiky a matematiky - Obchodně podnikatelská fakulta v Karviné
Kontaktní osoba: Mgr. Radmila Krkošková, Ph.D.
Rozvrh
Čt 10:35–12:10 A412
  • Rozvrh seminárních/paralelních skupin:
INMBAOPA/01: Čt 12:15–13:00 A412, R. Perzina
Předpoklady
FAKULTA ( OPF ) && TYP_STUDIA ( B ) && FORMA ( P )
Omezení zápisu do předmětu
Předmět je určen pouze studentům mateřských oborů.

Předmět si smí zapsat nejvýše 10 stud.
Momentální stav registrace a zápisu: zapsáno: 1/10, pouze zareg.: 0/10
Mateřské obory/plány
Osnova
  • 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.
Vyučovací jazyk
Angličtina
Předmět je zařazen také v obdobích zima 2021.
  • Statistika zápisu (nejnovější)
  • Permalink: https://is.slu.cz/predmet/opf/zima2022/INMBAOPA