Moodle FEL ČVUT
Operations Research
Tento předmět se nenachází v Moodle. Na jeho domovskou stránku se můžete dostat pomocí tlačítka "Stránka kurzu (mimo Moodle)" vpravo (pokud existuje).
Operations Research AE1M16OVY
| Kredity | 5 |
| Semestry | letní |
| Zakončení | zápočet a zkouška |
| Jazyk výuky | angličtina |
| Rozsah výuky | 2+2c |
Anotace
Art of modeling and elements of decision models, Linear programming, Transportation problem, Integer linear programming, Introduction to graphs theory, Nonlinear programming, Dynamic programming, Monte Carlo simulation, Project management (CPM, PERT) \\Výsledek studentské ankety předmětu je zde: http://www.fel.cvut.cz/anketa/aktualni/courses/AE1M16OVY
Cíle studia
Žádná data.
Osnovy přednášek
1.Operations research overview
2.Linear programming - introduction, graphic solution
3.Linear programming - simplex method
4.Linear programming - dual problem
5.Linear programming - sensitivity and parametric analysis
6.Transportation problem - applications, methods of solution
7.Integer linear programming
8.Graph theory - overview
9.Graph theory - optimization tasks
10.Monte Carlo simulations - random numbers generation, simulation models
11.Project management - CPM and PERT methods
12.Project management - analysis of resources and costs
13.Nonlinear programming - basic methods of solution
14.Dynamic programming
2.Linear programming - introduction, graphic solution
3.Linear programming - simplex method
4.Linear programming - dual problem
5.Linear programming - sensitivity and parametric analysis
6.Transportation problem - applications, methods of solution
7.Integer linear programming
8.Graph theory - overview
9.Graph theory - optimization tasks
10.Monte Carlo simulations - random numbers generation, simulation models
11.Project management - CPM and PERT methods
12.Project management - analysis of resources and costs
13.Nonlinear programming - basic methods of solution
14.Dynamic programming
Osnovy cvičení
1.Operations research introduction
2.Mathematical programming, Lagrange method
3.Graphical solution of linear programming tasks
4.Simplex method, dual problem solution
5.Practical application of linear programming, software support
6.Transportation problem
7.Branch and bound method
8.Tasks on graphs
9.Graph optimization methods
10.Random numbers generation, Monte Carlo simulation
11.Test
12.Project management - CPM
13.Project management - PERT, resource analysis
14.Dynamic programming - resource allocation
2.Mathematical programming, Lagrange method
3.Graphical solution of linear programming tasks
4.Simplex method, dual problem solution
5.Practical application of linear programming, software support
6.Transportation problem
7.Branch and bound method
8.Tasks on graphs
9.Graph optimization methods
10.Random numbers generation, Monte Carlo simulation
11.Test
12.Project management - CPM
13.Project management - PERT, resource analysis
14.Dynamic programming - resource allocation
Literatura
1.Taha, H.A. Operations research - An Introduction. Prentice Hall 2006
2.Hillier, Lieberman: Introduction to operations research. McGraw-Hill 2005
2.Hillier, Lieberman: Introduction to operations research. McGraw-Hill 2005
Požadavky
viz https://ekonom.feld.cvut.cz/en/student/courses/operations-research
Za správnost dat zodpovídá:
Studijní Informační Systém (KOS)