Code  Completion  Credits  Range  Language 

2381176  Z,ZK  4  2P+2C  Czech 
 Garant předmětu:
 Lecturer:
 Tutor:
 Supervisor:
 Department of Management and Economics
 Synopsis:

This course begins with introduction of the subject of operational research (management science), methods of which are applicable to solve problems in a number of areas. It continuous with the principles of the creating models, as well as with the construction of enterprise balance models, the statistical methods important for the comprehension of operational research methods are presented. Methods of linear programming useful in solving various problems are studied in depth, as well as methods of integer, nonlinear, stochastic and dynamic programming. To evaluate the effectiveness, productivity and efficiency of units is used a method based on linear programming  data envelopment analysis (DEA). In addition, students learn to apply the methods of game theory, which deal with the solution of conflict situations in which interests of two or more players are collided. There multicriteria methods of decision making under certainty, uncertainty and risk are also treated. Furthermore, the course deepens students' knowledge of inventory models, queuing theory models, Industrial replacement and maintenance models and simulation models. The course follows and broaden the bachelor course: Statistical and decision analysis.
 Requirements:

Submission of solved problem tasks and its interpretation. Examination of the following topics:
1.Introduction to operational research, process model creation
2.Enterprise balance models (structural analysis)
3.Probabilistic models of discrete and continuous random variables
4.Linear programming: problem formulation, graphical solution, simplex method
5.Linear programming: duality, sensitivity analysis, solving different problems (capacity problems, transportations problem)
6.Integer, nonlinear and dynamic programming
7.Data envelopment analysis
8.Combinatorial models
9.Theory of games
10.Multicriteria decision making under certainty, uncertainty and risk
11.Theory of inventory management, queuing theory models,
12. Industrial replacement and maintenance models
13. Simulation models
 Syllabus of lectures:

1.Introduction to operational research, process model creation
2.Enterprise balance models (structural analysis)
3.Probabilistic models of discrete and continuous random variables
4.Linear programming: problem formulation, graphical solution, simplex method
5.Linear programming: duality, sensitivity analysis, solving different problems (capacity problems, transportations problem)
6.Integer, nonlinear and dynamic programming
7.Data envelopment analysis
8.Combinatorial models
9.Theory of games
10.Multicriteria decision making under certainty, uncertainty and risk
11.Theory of inventory management, queuing theory models,
12. Industrial replacement and maintenance models
13. Simulation models
 Syllabus of tutorials:

1.Introduction to operational research, process model creation
2.Enterprise balance models (structural analysis)
3.Probabilistic models of discrete and continuous random variables
4.Linear programming: problem formulation, graphical solution, simplex method
5.Linear programming: duality, sensitivity analysis, solving different problems (capacity problems, transportations problem)
6.Integer, nonlinear and dynamic programming
7.Data envelopment analysis
8.Combinatorial models
9.Theory of games
10.Multicriteria decision making under certainty, uncertainty and risk
11.Theory of inventory management, queuing theory models,
12. Industrial replacement and maintenance models
13. Simulation models
 Study Objective:

The aim of the course is to teach students to apply quantitative methods of operational research in systems analysis and solution of technicalmanagerial decision problems.
 Study materials:

Kožíšek, J., Stieberová, B.: Statistická a rozhodovací analýza, VČVUT, Praha 2014
Gros, I.: Kvantitativní metody v manažerském rozhodování, Grada, Praha, 2003
Jablonský, J.: Operační výzkum, Professional Publishing, Praha 2007
Frederick S. Hillier & Gerald J. Lieberman, Introduction to Operations Research, McGrawHill: Boston MA; 10th Edition, 2014
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: