342-0605/02 – Quantitative Methods of Organisation and Regulation III (KMOŘ III)

Gurantor departmentInstitute of TransportCredits3
Subject guarantordoc. Ing. Dušan Teichmann, Ph.D.Subject version guarantordoc. Ing. Dušan Teichmann, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2008/2009Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
TEI72 doc. Ing. Dušan Teichmann, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+1
Combined Credit and Examination 8+4

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

Další požadavky na studenta

Prerequisities

Subject codeAbbreviationTitleRequirement
342-0574 KMOŘ II Quantitative Methods of Organisation and Regulation II Compulsory
714-0369 MIV Mathematics IV Recommended

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

Full-time form (validity from: 2013/2014 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 35  16
        Examination Examination 65  39
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (40) Air Transport P Czech Ostrava 1 Compulsory study plan
2019/2020 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2018/2019 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2017/2018 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2016/2017 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2012/2013 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Compulsory study plan
2011/2012 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Choice-compulsory study plan
2011/2012 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Choice-compulsory study plan
2010/2011 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Choice-compulsory study plan
2009/2010 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

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