Subject description - AD1M16OVY

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AD1M16OVY Operations Research
Roles:  Extent of teaching:14+6s
Department:13116 Language of teaching:CS
Guarantors:  Completion:Z,ZK
Lecturers:  Credits:5
Tutors:  Semester:L

Web page:

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

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

Subject is included into these academic programs:

Program Branch Role Recommended semester


Page updated 28.3.2024 17:52:49, semester: Z/2023-4, Z/2024-5, L/2023-4, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)