Content:
Theory teaching
1. Introduction. Importance and history of operations research; 2. Mathematical models (concept, functions, structure, time, development, testing, application...); 3. Linear programming (introduction, graphical solution of LP problems, standard form); 4. Simplex method, Dual problem; 5. Special cases of LP, Transport problem, Hungarian algorithm, Linear programming applications; 6. Nonlinear programming (introduction, general form, Kuhn-Tucker theorem, unconstrained optimization methods, constrained optimization methods, applications); 7. Integer programming (branching method, bounding method); 8. Seminal paper preparatory session; 9. Project management and network planning (network diagram structure, time analysis, Gantt chart); 10. Game theory (introduction, mixed strategies, Neumann’s theorem); 11. Dynamic programming (management processes with multiple stages, optimality principle, recurrent relations, DP techniques, applications); 12. Replacement theory (special case of DP, models with limited and undefined intervals, applications); 13. Inventory theory (supply chain management systems, types of management systems, stock costs, mathematical models of stock management, applications); 14. Multicriteria optimization (introduction, concept, multiobjective and multiattribute decision making); 15. Risk and reliability analysis (introduction, risk assessment, qualitative reliability analysis) Practical teaching
1. Linear Programming. Simplex method (3 sessions); 2. Nonlinear programming. Integer programming (2 sessions); 3. Game theory, Dynamic programming (2 sessions); 4. Replacement theory (2 sessions)
5. Inventory theory (2 sessions); 6. Multicriteria optimization (2 sessions); 7. Reliability and risk analysis (2 sessions) |
Suggested Reading List:
- S. Krčevinac i dr. (2004), Operaciona istraživanja, FON Beograd.
- I. Nikolić i S. Borović (1996), Višekriterijumska optimizacija, Centar vojnih škola VJ;
- S. Vujić, R. Stanojević i dr. (2004), Metode za optimizaciju eksploatacionog veka rudarskih mašina, Katedra za primenjeno računarstvo i sistemsko inženjerstvo, RGF Beograd;
- M. Vujošević, (2012), Metode optimizacije u inženjerskom menadžmentu, Akademija inženjerskih nauka Srbije, Beograd.
- Aktuelna literatura, prema preporuci nastavnika.
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