Subject description - A1M16OVY

Summary of Study | Summary of Branches | All Subject Groups | All Subjects | List of Roles | Explanatory Notes               Instructions
A1M16OVY Operations Research Extent of teaching:2+2c
Guarantors:  Roles:P,V Language of
teaching:
CS
Teachers:  Completion:Z,ZK
Responsible Department:13116 Credits:5 Semester:L

Anotation:

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
8. Graph theory - optimization tasks
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 outline:

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. 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:

see: https://ekonom.feld.cvut.cz/cs/student/predmety/operacni-vyzkum

Webpage:

https://ekonom.feld.cvut.cz/cs/student/predmety/operacni-vyzkum https://moodle.fel.cvut.cz/course/view.php?id=1902

Subject is included into these academic programs:

Program Branch Role Recommended semester
MPEEM4 Economy and Management of Power Engineering P 2
MPEEM5 Economy and Management of Electrical Engineering P 2
MPIB Common courses V
MPKME1 Wireless Communication V 2
MPKME5 Systems of Communication V 2
MPKME4 Networks of Electronic Communication V 2
MPKME3 Electronics V 2
MPKME2 Multimedia Technology V 2
MPKYR4 Aerospace Systems V 2
MPKYR1 Robotics V 2
MPKYR3 Systems and Control V 2
MPKYR2 Sensors and Instrumentation V 2


Page updated 19.6.2019 17:52:58, semester: Z,L/2020-1, L/2018-9, Z,L/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)