Subject description - AD1M16OVY
Summary of Study |
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List of Roles |
Explanatory Notes
Instructions
| 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 14.3.2025 12:51:33, semester: L/2024-5, L/2025-6, Z/2024-5, Z/2025-6, Send comments about the content to the Administrators of the Academic Programs |
Proposal and Realization: I. Halaška (K336), J. Novák (K336) |