352-0908/01 – System Analysis (SA)

Gurantor departmentDepartment of Control Systems and InstrumentationCredits10
Subject guarantorprof. Ing. Miluše Vítečková, CSc.Subject version guarantorprof. Ing. Miluše Vítečková, CSc.
Study levelpostgraduate
Study languageCzech
Year of introduction1996/1997Year of cancellation2012/2013
Intended for the facultiesHGF, FSIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
VIT40 prof. Ing. Antonín Víteček, CSc.,Dr.h.c.
VIT60 prof. Ing. Miluše Vítečková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 25+0
Combined Credit and Examination 25+0

Subject aims expressed by acquired skills and competences

Graph theory, shortest and longest path problems, CPM, PERT, signal flow graphs. Decision theory. Waiting-line problems. Linear programming, simplex method, transportation problems. Allocation problems. Inventory prob-lems. Replacement and renewal problems.

Teaching methods

Individual consultations
Project work

Summary

Linear optimization models,their algebraic and geometric representations, simplex method,sensitivity and duality. Network models, transportation problem, assignment model, duality in transportation problem, simplex technique for transportation. Shortest route in general network,shortest and longest routes for acyclic network. Dynamic programming in optimization of networks, CPM, PERT. Waiting line models. Single-server and multiple-server model with Poisson input and exponential service other queuing models.

Compulsory literature:

HILLIER, F. S., LIEBERMAN, G. J. Introduction to Operations Research. Eighth Edition. McGraw-Hill, New York, 2005, ISBN 0-07-252744-7. MARLOW, W. H. Mathematics for Operations Research. John Wiley & Sons, New York, 1978, ISBN 0-486-67723-0. RARDIN, R. L. Optimization in Operations Research. Second Edition. Pearson Higher Education, Hoboken, 2017, ISBN 978-0-13-438455-9.

Recommended literature:

RAVINDRAN, A., RAGSDELL, K. M., REKLAITIS, G. Engineering Optimization. Methods and Applications. Second Edition. John Wiley & Sons, Hoboken, 2006, ISBN-13 978-0-471-53814-9

Way of continuous check of knowledge in the course of semester

Kontrola zadaného projektu.

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Graph theory, shortest and longest path problems, CPM, PERT, signal flow graphs. Decision theory. Waiting-line problems. Linear programming, simplex method, transportation problems. Allocation problems. Inventory prob-lems. Replacement and renewal problems

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2012/2013 (P2346) Mechanical Engineering (3902V056) Control of Machines and Processes P Czech Ostrava Choice-compulsory study plan
2012/2013 (P2346) Mechanical Engineering (3902V056) Control of Machines and Processes K Czech Ostrava Choice-compulsory study plan
2012/2013 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2012/2013 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2011/2012 (P2346) Mechanical Engineering (3902V056) Control of Machines and Processes P Czech Ostrava Choice-compulsory study plan
2011/2012 (P2346) Mechanical Engineering (3902V056) Control of Machines and Processes K Czech Ostrava Choice-compulsory study plan
2011/2012 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2011/2012 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2010/2011 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2010/2011 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2009/2010 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2009/2010 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2008/2009 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2008/2009 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2008/2009 (P3646) Geodesy and Cartography P Czech Ostrava Compulsory study plan
2008/2009 (P1701) Physics P Czech Ostrava Compulsory study plan
2008/2009 (P2111) Mining P Czech Ostrava Compulsory study plan
2008/2009 (P2110) Geological Engineering P Czech Ostrava Compulsory study plan
2008/2009 (P3904) Engineering Ecology P Czech Ostrava Compulsory study plan
2008/2009 (P3925) Management of Industrial Systems P Czech Ostrava Compulsory study plan
2008/2009 (P2102) Mineral Raw Materials P Czech Ostrava Compulsory study plan
2007/2008 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2007/2008 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2007/2008 (P2102) Mineral Raw Materials (3902V010) Automation of Technological Processes P Czech Ostrava Compulsory study plan
2007/2008 (P2111) Mining (2101V009) Mining P Czech Ostrava Compulsory study plan
2007/2008 (P3904) Engineering Ecology (3904V012) Environment Protection within Industry P Czech Ostrava Compulsory study plan
2006/2007 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2006/2007 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2005/2006 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes P Czech Ostrava Choice-compulsory study plan
2005/2006 (P2301) Mechanical Engineering (3902V010) Automation of Technological Processes K Czech Ostrava Choice-compulsory study plan
2004/2005 (P2301) Mechanical Engineering (2301V003) Transport Equipment and Technology P Czech Ostrava 1 Choice-compulsory study plan
2001/2002 (P2301) Mechanical Engineering (2301V003) Transport Equipment and Technology P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner