342-0605/01 – Quantitative Methods of Organisation and Regulation III (KMOŘ III)
| Gurantor department | Institute of Transport | Credits | 4 |
| Subject guarantor | doc. Ing. Dušan Teichmann, Ph.D. | Subject version guarantor | doc. Ing. Dušan Teichmann, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Choice-compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2004/2005 | Year of cancellation | 2020/2021 |
| Intended for the faculties | FS | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Graduates will understand the issue of special procedures for linearization of mathematical models of decision problems, simplex methods, cutting hyperplanes, postoptimalizační analysis of duality in linear programming and its importance from the viewpoint of optimization, the foundations of nonlinear and dynamic programming in terms of solutions to industry problems and further, mathematically sophisticated systems queuing.
Graduates will also know the meaning of the stochastic process, Markov process, Markov chain. Make your knowledge of the theoretical nature of the theoretical solution of Markov queuing systems, become familiar with techniques for solving some theoretical solutions to utility systems, some of which do not satisfy the Markov assumptions.
Teaching methods
Lectures
Tutorials
Summary
The student will acquire basic knowledge of the theory of stochastic processes
and learn about the possibilities of the theory in solving selected problems in terms of transport systems.
Attention will be focused on selected types of queuing systems with non-Markov properties.
Compulsory literature:
PIATKA, L.: Markov processes. Bratislava: Alfa, 1981.
ŠKRÁŠEK, J., TICHÝ, Z.: Fundamentals of Applied Mathematics III. Praha: SNTL, 1990.
JABLONSKÝ, J.; FIALA, P.; MAŇAS, M.. Multiobjective optimization. Praha: SPN, Prague, 1986.
Recommended literature:
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
Další požadavky na studenta
Prerequisities
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Special procedures for linearization of nonlinear mathematical models of decision-making tasks
Simplex method
Methods of cutting hyperplanes
Postoptimalizační Analysis
Multiobjective linear programming (advanced methods to estimate weights of the criteria, methods skalarizace targeted vector functions, methods STEM)
Duality in linear programming and its importance from the perspective of optimizing
Fundamentals of nonlinear and dynamic programming in terms of solutions to industry problems
Introduction to Stochastic Processes
Markov Chain and Markov process
Closed queuing system with a reserve
Queuing system with the advent of the priority customers
Queuing systems M/G/1 type and M/D/1
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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