342-0605/01 – Quantitative Methods of Organisation and Regulation III (KMOŘ III)

Gurantor departmentInstitute of TransportCredits4
Subject guarantordoc. Ing. Dušan Teichmann, Ph.D.Subject version guarantordoc. Ing. Dušan Teichmann, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year1Semestersummer
Study languageCzech
Year of introduction2004/2005Year 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
Part-time 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

Other requirements

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

Part-time form (validity from: 1960/1961 Summer semester, validity until: 2011/2012 Summer 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 (35) 0
                Project Project 15  0
                Written exam Written test 20  0
        Examination Examination 65 (65) 0
                Written examination Written examination 15  0
                Oral Oral examination 50  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2008/2009 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Choice-compulsory study plan
2008/2009 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (40) Air Transport P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Choice-compulsory study plan
2007/2008 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (40) Air Transport P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Choice-compulsory study plan
2006/2007 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology P Czech Ostrava 1 Choice-compulsory study plan
2005/2006 (N2301) Mechanical Engineering (2301T003) Transport Equipment and Technology (30) Transport Technology K Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner