### Operations Research

##### B232 - Summer 23/24
This is a grouped Moodle course. It consists of several separate courses that share learning materials, assignments, tests etc. Below you can see information about the individual courses that make up this Moodle course.

#### Operations Research - AE1M16OVY

##### Main course
 Credits 5 Semesters Summer Completion Assessment + Examination Language of teaching English Extent of teaching 2+2c
Annotation
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.
Course outlines
1.Linear programming - introduction, graphic solution
2.Linear programming - simplex method
3.Linear programming - dual problem
4.Linear programming - sensitivity and parametric analysis
5.Transportation problem - applications, methods of solution
6.Integer linear programming
7.Graph theory - overview
9.Project management - CPM and PERT methods
10.Project management - analysis of resources
11.Simulation models, Monte Carlo method
12.Random numbers generators
13.Dynamic programming
14.Reserve
Exercises outlines
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
9.Graph optimization methods
10.Project management - CPM
11.Project management - PERT, resource analysis
12.Random numbers generation, Monte Carlo simulation
13.Test
14.Reserve, assessment
Literature
1.Taha, H.A. Operations research - An Introduction. Prentice Hall 2006
2.Hillier, Lieberman: Introduction to operations research. McGraw-Hill 2005
Requirements
viz https://ekonom.feld.cvut.cz/en/student/courses/operations-research

#### Operations Research - BE1M16OVY

 Credits 5 Semesters Both Completion Assessment + Examination Language of teaching English Extent of teaching 2P+2C
Annotation
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).
Course outlines
1. Operations research overview
2. Fundamental of operation modeling and models in management
3. Linear programming - introduction, graphic solution
4. Linear programming - simplex method
5. Linear programming - dual tasks
6. Linear programming - sensitivity and parametric analysis
7. Transportation problem - applications, methods of solution
8. Integer linear programming
9. Graph theory - overview
10. Graph theory - optimization tasks
11. Project management - CPM and PERT methods
12. Project management - analysis of resources and cost
13. Simulation models, Monte Carlo method
14. Random numbers generators
Exercises outlines
1. Operations research introduction
2. Graphical solution of linear programming tasks
3. Simplex method
4. Dual problem solution
5. Practical application of linear programming, software support
6. Transportation problem
7. Branch and bound method