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Terminated in academic year 2014/2015

Operations Research A

Type of study Bachelor
Language of instruction Czech
Code 157-0801/01
Abbreviation OVA
Course title Operations Research A
Credits 5
Coordinating department Department of Systems Engineering and Informatics
Course coordinator prof. Ing. Jana Hančlová, CSc.

Subject syllabus

Subject syllabus:
1. Operation research – quantitative approach to decision making
Development and operation research system elements. Operation research – quantitative approach to decision making in management.
• Economic- mathematical modelling.
• Operation research methods, classification,, solution of economic problems.
2. Operation research as system discipline.
• Theoretical and applied system disciplines, relation system disciplines to operation research .
• Basic system concepts.
3. System analysis and synthesis, methods, techniques.
• Solution of system problem. System life cycle, cycle of solution problem .
4. Structural analysis, structural models.

5. Network models.
• Network models application, basic concepts, methods.
• Drawing project networks
6. Time analysis in network.
• Project time estimating, activities terms in project, critical path, time slacks.
• Critical path analysis.
7. Linear diagram of the project and resources analysis.
• Problems with limited resources. Problem of optimization resource requirements to planning time
8. Optimization methods,. linear programming.
• Linear programming, principle of mathematical model construction. Linear programming application. General linear programming model.
9 . Solution of linear programming problems
• Simplex method. Duality and a effectiveness.
10. Transportation problems.
• Special-purpose solution procedure.
11. Waiting line models, inventory control models,
• Typical problems
• Basic concepts and typology of models.
13. Inventory control models.
• Trial of the process, various costs, optimization criterion . Factors in modelling and management
inventory control models.
14. Replacement, maintenance and inspection.
• Optimization models for the improvement of system and equipment reliability.

Literature

HILLIER, Frederick S. and Gerald J. LIEBERMAN. Introduction to Operations Research. 9th ed. London: McGraw-Hill, 2009. 1088 pp. ISBN 978-80-077298340.

Advised literature

TAHA, A. Operations Research: An Introduction (9th Edition) 832 p. Pearson 2010