Operation Research 2600-MSFRz1fprBO
The method of operations research in management - the Introduction:
1. Decission problems on different rungs management
2. Method of operations research in process undertaking the decision
The choice of method of solving the decission problem:
1. Qualification of aim and the range of decision
2. Choice of variables explained and explanatory
3. Informative base of analysis
4. Building of model
5. Solution of model and the analysis of results of calculations
Linear programming in management:
1. Creature of linear programming
General form of linear programming. Geometrical interpretation of linear programming. Dualism in linear programming
2. Algorithm simpleks
3. Examples of uses of linear programming. Transportation problem..
Case study: Solving the example tasks of linear programming
Non - linear programming
1. Creature of non - linear programming
2. Example of use of non - linear programming
Integer programming
1. Idea of integer programming
2. Examples of use of integer programming: question of optimum allotment, question of location of production, question of choice of investment project.
Network programming- projects management
1. Creature of network programming
2. Method of critical path ( the CPM) and the method the PERT
Case study: The study of plan of investment enterprise
Dynamic programming
1. The principle of Bellman optimality
2. Example resolvable problems from utilization dynamic programming:
Stagecoach (shortes route) problem, Knapack problem, Production and inventory Scheduling.
Case study: Solving the example tasks of dynamic programming
The elements of theory of games and the multicriteria programming
1. Idea of theory of games. Two - persons games about catfish zero. Game with nature.
2. Idea of multicriteria programming. Arrangement. Multicriteria linear programming.
3. Examples of uses of theory games and the multicriteria programming
The theory of queues
1. Idea of queuning theory
2. Utilization in economic practice the theory of queues
Simulating models and heuristic
1. Methodology of digital simulation
2. Method of simulation of discreet systems
3. Generators of random numbers
4. Arrangement and the estimation of simulating experiments
Type of course
Learning outcomes
Making possible the students applying in practice of operations research methods (the mathematical methods, statistical the as well as optimization models) in process undertaking the decision on different rungs of management.
For particularly essential the skill of precise defining is careful and connected the understanding of foundations with individual types of models the as well as correctness of interpretation of results
Assessment criteria
Case study.
Bibliography
Basic
Kukuła K. (red.), Badania operacyjne w przykładach i zadaniach, PWN, Warszawa, 2011
Lipiec-Zajchowska M. (red.), Wspomaganie procesów decyzyjnych. Tom III. Badania Operacyjne, Wyd. C.H. Beck, Warszawa 2003.
Radzikowski W., Badania operacyjne w zarządzaniu przedsiębiorstwem. Wydawnictwo Uniwersytetu im. M. Kopernika w Toruniu, Toruń 1997.
Additional:
Gruszczyński M. i In., Ekonometria i badania operacyjne, PWN, Warszawa, 2009.
Ignasiak E. (red)., Badania Operacyjne. PWE, Warszawa 1997.
Grabowski W., Programowanie matematyczne. PWE, Warszawa 1980.
Tyszer J., Symulacja cyfrowa. WNT, Warszawa 1990.
Wagner H.M., Badania Operacyjne, PWE, Warszawa, 1980.