157-0574/01 – Quantitative methods (KMe)

Gurantor departmentDepartment of Systems EngineeringCredits5
Subject guarantordoc. Mgr. Ing. František Zapletal, Ph.D.Subject version guarantordoc. Mgr. Ing. František Zapletal, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
HAN60 prof. Ing. Jana Hančlová, CSc.
ZAP149 doc. Mgr. Ing. František Zapletal, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The aim of the course is methodological knowledge as systemic application of discipline, especially in the areas of linear programming and network analysis. The application of selected quantitative methods reinforces students' logical and systemic skills in solving decision-making problems in economic systems.

Teaching methods

Lectures
Tutorials
Other activities

Summary

The student will get acquainted with the methodological knowledge of application system disciplines, especially in the areas of linear programming, structural analysis and network analysis. The application of selected quantitative methods strengthens students' logical and systemic thinking skills in solving decision-making problems in economic systems.

Compulsory literature:

HILLIER, Frank and Mark HILLIER. Introduction to Management Science, McGraw-Hill Interamericana de Espaňa S.L., 6th Edition, 2021. 642 p. ISBN: 9781260091854. WINSTON, Wayne L. and S. Christian ALBRIGHT. Practical Management Science, Cengage Learning, 6th Edition, 2018. 888 p. ISBN: 9781337406659. ANDERSON, David R., SWEENEY, Dennis J., WILLIAMS, Thomas A., CAMM, Jeffrey D. and James J. COCHRAN. An Introduction to Management Science: Quantitative Approach, Cengage Learning, 15th Edition, 2018. 912 p. ISBN: 9781337406529.

Recommended literature:

TAYLOR, Bernard. Introduction to Management Science, 13th Edition, Pearsons, 2018. 864 p. ISBN 978-978-0134730660. ISICHENKO, Michael. Quantitative Portfolio Management: The Art and Science of Statistical Arbitrage, 1st Edition, Wiley, 2021. 304 p. ISBN‎ 978-1119821328. HANEVELD KLEIN, K. Willem, VLERK van der, H. Maarten and Ward ROMEIJNDERS. Stochastic Programming: Modeling Decision Problems Under Uncertainty, 1st Edition, Springer, 2020. 261 p. ISBN 978-3030292218.

Way of continuous check of knowledge in the course of semester

Credit - linear programming + network analysis + quick test during semester Exam - combined (test + oral exam)

E-learning

LMS Moodle

Other requirements

Credit - linear programming + network analysis + quick test during semester Exam - combined (test + oral exam)

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Operation research as a systemic basis for quantitative decision making. Development and systemic features of operation research. Process of economic-mathematical modeling. Classification of operation research methods, usability in solving economic problems. 2. Introduction to linear programming (LP) + general solution of optimization problem + parts of mathematical model + set of possible solutions + possible number of solution of LP + different types of LP. 3. Graphical solution of LP problem - general procedure, limitations for using graphical solution, possible sets of acceptable solutions, consequences of limitation of the equation in models, sensitivity analysis of optimum in graphical solution, possible solutions of LP problems. 4. Canonical form of LP problem, simplex table, algorithm of solution for single-phase and two-phase simplex method, individual steps of simplex method, interpretation of simplex tables. 5. Duality of LP problem - the importance of duality, basic theorems on duality, symmetric and asymmetric dual models, shadow prices and their use for sensitivity analysis, solution stability intervals. 6. Transport problems - specification of traffic problems, classification of traffic problems, searching for acceptable solution (VAM, MSR, IM), search for optimal solution - MODI. 7. Multicriterial linear programming - motivation and application, solution dominance, aggregation of purpose functions according to defined weights, tasks with compromise solution. 8. Introduction to network analysis (SA) and graph theory - embedding in the framework of project management, target and possibility of application, classification and definition of network analysis methods, project specification and network graph creation, fictional edges. 9. CPM - time analysis in network graph, types of reserves and their importance, critical path and its analysis, percentage of criticality and possibilities of use from the perspective of risk management, project criticism, linear diagram, analysis of project resources. 10. PERT method - stochastic time analysis, density of activity duration distribution and mean and variability characteristics, density distribution of the earliest possible end date of the whole project and corresponding characteristics, typical problem of using PERT method. 11. Input-output analysis - visualization of the system (elements and flows), basic logic and assumptions. 12. Input-output analysis - chess board tables, equilibria in Leontief's models (sales and inputs), applications.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 45 (45) 23
                Zápočtový test LP Written test 25  13 3
                Zápočtový test SA Written test 15  8 3
                Rychlotesty na cvičeních Other task type 5  0
        Examination Examination 55  28 3
Mandatory attendence participation: Condition for passing: - 60% participation in exercises - successful completion of individual tests at given dates - at least 23 points Acquired credits are enrolled. Compulsory mass credit tests (enrollment via Edison, 1st regular and 2nd corrective term) - LP - Linear Programming - (min 13 - max 25 points) - SA - Network Analysis - (min 8 - max 15 points) - quick tests during exercise - (max 5 points) Exam - combined (test + oral exam) - min 28, max 55 points.

Show history

Conditions for subject completion and attendance at the exercises within ISP: Condition for passing: - 60% participation in exercises - successful completion of individual tests at given dates - at least 23 points Acquired credits are enrolled. Compulsory mass credit tests (enrollment via Edison, 1st regular and 2nd corrective term) - LP - Linear Programming - (min 13 - max 25 points) - SA - Network Analysis - (min 8 - max 15 points) - quick tests during exercise - (max 5 points) Exam - combined (test + oral exam) - min 28, max 55 points.

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0412EKF015) Financial and Accounting Advisory P English Ostrava 2 Choice-compulsory type B study plan
2024/2025 (B0311A050005) Applied Economics (S02) International Economic Relations P English Ostrava 2 Compulsory study plan
2024/2025 (B0311A050005) Applied Economics (S01) Economic Development P English Ostrava 3 Compulsory study plan
2023/2024 (B0311A050005) Applied Economics (S02) International Economic Relations P English Ostrava 2 Compulsory study plan
2023/2024 (B0311A050005) Applied Economics (S01) Economic Development P English Ostrava 3 Compulsory study plan
2023/2024 (B0412A050006) Finance P English Ostrava 2 Compulsory study plan
2023/2024 (B0413A050047) Business Administration P English Ostrava 2 Choice-compulsory type B study plan
2022/2023 (B0311A050005) Applied Economics (S01) Economic Development P English Ostrava 3 Compulsory study plan
2022/2023 (B0311A050005) Applied Economics (S02) International Economic Relations P English Ostrava 2 Compulsory study plan
2022/2023 (B0412A050006) Finance P English Ostrava 2 Compulsory study plan
2022/2023 (B0413A050047) Business Administration P English Ostrava 2 Choice-compulsory type B study plan
2021/2022 (B0311A050005) Applied Economics (S01) Economic Development P English Ostrava 3 Compulsory study plan
2021/2022 (B0311A050005) Applied Economics (S02) International Economic Relations P English Ostrava 2 Compulsory study plan
2021/2022 (B0412A050006) Finance P English Ostrava 2 Compulsory study plan
2020/2021 (B0311A050005) Applied Economics (S02) International Economic Relations P English Ostrava 2 Compulsory study plan
2020/2021 (B0311A050005) Applied Economics (S01) Economic Development P English Ostrava 3 Compulsory study plan
2020/2021 (B0412A050006) Finance P English Ostrava 2 Compulsory study plan
2019/2020 (B0311A050005) Applied Economics (S02) International Economic Relations P English Ostrava 2 Compulsory study plan
2019/2020 (B0311A050005) Applied Economics (S01) Economic Development P English Ostrava 3 Compulsory study plan
2019/2020 (B0412A050006) Finance P English Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Incoming students- BS 2024/2025 Full-time English Choice-compulsory 163 - International Office stu. block
Incoming students- BS 2023/2024 Full-time English Choice-compulsory 163 - International Office stu. block
Incoming students- BS 2022/2023 Full-time English Choice-compulsory 163 - International Office stu. block
Incoming students 2021/2022 Full-time English Choice-compulsory 163 - International Office stu. block

Assessment of instruction



2022/2023 Summer