352-0548/01 – Operational Research (OVyz)

Gurantor departmentDepartment of Control Systems and InstrumentationCredits4
Subject guarantorprof. Ing. Miluše Vítečková, CSc.Subject version guarantorprof. Ing. Miluše Vítečková, CSc.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2011/2012Year of cancellation2015/2016
Intended for the facultiesUSP, FSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
FAR10 prof. Ing. Radim Farana, CSc.
VIT60 prof. Ing. Miluše Vítečková, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2
Combined Graded credit 10+4

Subject aims expressed by acquired skills and competences

The subject “Operational Research” belongs among subjects, which form the graduate profile of the student in master study program “Mechatronics”. Its objective is acquainting with the basis of optimal decision making by use of applied theory of graphs, probability, waiting line models for use of the engineer.

Teaching methods

Lectures
Tutorials

Summary

Basic of theory of decision making, graph theory, probability theory, waiting line models.

Compulsory literature:

HILLIER, F. S., LIBERMAN, G. J. Introduction to Operational Research. Mc Graw Hill Higher Education, Boston, 2005 TAHA, H., A. Operations Research: An Introduction. 8th Edition. Prentice Hall, Upper Saddle River, 2007

Recommended literature:

HILLIER, F. S., LIBERMAN, G. J. Introduction to Operational Research. Mc Graw Hill Higher Education, Boston, 2005 RARDIN, R. L. Optimization In Operations Research. Prentice Hall, Upper Sadle River, 2005

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Elaboration of two projects.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Acquainting with problems and content of subject. Probability theory, conditional probability, relations among independent events. 2. Probability of hypothesis. 3. Continuous random variables, characteristics, distributions. 4. Discrete random variables, characteristics, distributions. 5. Transformation of random variables and their generation. 6. Use of graph theory and random variables in engineering. 7. Graph theory, basic concepts and principles. 8. Minimal and maximal paths in graph, algorithms of solution. 9. CPM and method PERT, algorithms of solution. 10. Hamilton' path and Euler's circle. 11. Capacity of transport net, algorithms of solution. 12. Waiting line models. System M/M/1. 13. System M/M/n. 14. Using waiting line models in practice.

Conditions for subject completion

Combined form (validity from: 2011/2012 Winter semester, validity until: 2015/2016 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded exercises evaluation Graded credit 100  51
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2015/2016 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2015/2016 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2015/2016 (N3943) Mechatronics (3906T006) Mechatronic Systems P Czech Ostrava 2 Choice-compulsory study plan
2015/2016 (N3943) Mechatronics (3906T007) Automotive Electronics P Czech Ostrava 2 Choice-compulsory study plan
2015/2016 (N3943) Mechatronics (3906T007) Automotive Electronics K Czech Ostrava 2 Choice-compulsory study plan
2015/2016 (N3943) Mechatronics (3906T006) Mechatronic Systems K Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2014/2015 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2014/2015 (N3943) Mechatronics (3906T006) Mechatronic Systems P Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (N3943) Mechatronics (3906T007) Automotive Electronics P Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (N3943) Mechatronics (3906T007) Automotive Electronics K Czech Ostrava 2 Choice-compulsory study plan
2014/2015 (N3943) Mechatronics (3906T006) Mechatronic Systems K Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2301) Mechanical Engineering (3902T004) Automatic Control and Engineering Informatics K Czech Ostrava 1 Compulsory study plan
2013/2014 (N3943) Mechatronics (3906T006) Mechatronic Systems P Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (N3943) Mechatronics (3906T007) Automotive Electronics P Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (N3943) Mechatronics (3906T006) Mechatronic Systems P Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (N3943) Mechatronics (3906T006) Mechatronic Systems K Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (N3943) Mechatronics (3906T007) Automotive Electronics K Czech Ostrava 2 Choice-compulsory study plan
2012/2013 (N3943) Mechatronics (3906T006) Mechatronic Systems P Czech Ostrava 2 Choice-compulsory study plan
2012/2013 (N3943) Mechatronics (3906T007) Automotive Electronics P Czech Ostrava 2 Choice-compulsory study plan
2012/2013 (N3943) Mechatronics (3906T006) Mechatronic Systems K Czech Ostrava 2 Choice-compulsory study plan
2012/2013 (N3943) Mechatronics (3906T007) Automotive Electronics K Czech Ostrava 2 Choice-compulsory study plan
2011/2012 (N3943) Mechatronics (3906T007) Automotive Electronics P Czech Ostrava 2 Choice-compulsory study plan
2011/2012 (N3943) Mechatronics (3906T006) Mechatronic Systems P Czech Ostrava 2 Choice-compulsory study plan
2011/2012 (N3943) Mechatronics (3906T006) Mechatronic Systems K Czech Ostrava 2 Choice-compulsory study plan
2011/2012 (N3943) Mechatronics (3906T007) Automotive Electronics K Czech Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner