157-0801/01 – Operations Research A (OVA)

Gurantor departmentDepartment of Systems EngineeringCredits5
Subject guarantorprof. Ing. Jana Hančlová, CSc.Subject version guarantorprof. Ing. Jana Hančlová, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction1999/2000Year of cancellation2014/2015
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BAN22 Ing. Jitka Baňařová, Ph.D.
VRA31 Ing. Blanka Bazsová, Ph.D.
JAS25 Ing. Mária Jašková, Ph.D.
KR150 Ing. Anna Křížová, CSc.
NEM191 Ing. Radek Němec, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Distance Credit and Examination 1+0
Lifelong Credit and Examination 1+0

Subject aims expressed by acquired skills and competences

• To describe the operations research as an applied systems discipline • To define basic systems terms and terms from economic and mathematics modeling • To classify operations research methods • To explain the substance and application possibilities of the basic methods • To apply chosen methods model tools to concrete specific problems • To solve created models with PC use • To explicate and analyze obtained results

Teaching methods

Lectures
Tutorials

Summary

The main emphasis is placed on the creation and application of economic and mathematics models for the support of managerial decision making. Students will acquire knowledge of character, substance, application areas and the level of utilization of operations research models and particular methods (i.e. graph theory, linear programming, network modeling, structure analysis) and will be trained in their applications particulary with PC use.

Compulsory literature:

HILLIER, Frederick S. and Gerald J. LIEBERMAN. Introduction to Operations Research. 9th ed. London: McGraw-Hill, 2009. 1088 pp. ISBN 978-80-077298340.

Recommended literature:

TAHA, A. Operations Research: An Introduction (9th Edition) 832 p. Pearson 2010

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Zápočet – zpracování a úspěšná obhajoba projektu ze síťové analýzy. Zkouška – písemná zkouška v prostředí MOODLE a získání nadpolovičního počtu bodů (teorie her, síťová analýza, lineární programování, strukturní modely).

Prerequisities

Subject codeAbbreviationTitleRequirement
151-0801 MA Cžv Mathematics A Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Subject syllabus: 1. Operation research – quantitative approach to decision making Development and operation research system elements. Operation research – quantitative approach to decision making in management. • Economic- mathematical modelling. • Operation research methods, classification,, solution of economic problems. 2. Operation research as system discipline. • Theoretical and applied system disciplines, relation system disciplines to operation research . • Basic system concepts. 3. System analysis and synthesis, methods, techniques. • Solution of system problem. System life cycle, cycle of solution problem . 4. Structural analysis, structural models. 5. Network models. • Network models application, basic concepts, methods. • Drawing project networks 6. Time analysis in network. • Project time estimating, activities terms in project, critical path, time slacks. • Critical path analysis. 7. Linear diagram of the project and resources analysis. • Problems with limited resources. Problem of optimization resource requirements to planning time 8. Optimization methods,. linear programming. • Linear programming, principle of mathematical model construction. Linear programming application. General linear programming model. 9 . Solution of linear programming problems • Simplex method. Duality and a effectiveness. 10. Transportation problems. • Special-purpose solution procedure. 11. Waiting line models, inventory control models, • Typical problems • Basic concepts and typology of models. 13. Inventory control models. • Trial of the process, various costs, optimization criterion . Factors in modelling and management inventory control models. 14. Replacement, maintenance and inspection. • Optimization models for the improvement of system and equipment reliability.

Conditions for subject completion

Lifelong form (validity from: 1960/1961 Summer semester, validity until: 2014/2015 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

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Occurrence in special blocks

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