Course detail

Quantitative methods

FP-BQMEAcad. year: 2019/2020

The course is focused on theoretical explanation and practical application of selected methods of operational analysis as a systemic basis of quantitative approach to decision making. Emphasis is placed especially on the manager's view, which is based on the fact that in the application of quantitative methods his main task focuses on the phase of model formulation, its interpretation and implementation of model outputs into the original real system.

Language of instruction

English

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

doc. Ing. Radek Doskočil, Ph.D., MSc

Department

Institute of Informatics (ÚI)

Offered to foreign students

Of all faculties

Learning outcomes of the course unit

Upon successful completion of this course, students will be able to apply selected quantitative methods from the field of operational analysis in solving specific economic and managerial decision-making problems.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course is taught through lectures explaining the basic principles and theory of the discipline, including illustrative examples. Seminars are focused on practical topics presented in lectures, including mastering numerous tasks.

Assesment methods and criteria linked to learning outcomes

For completion of the course the following conditions:
Credit: Successful completion of the semester project within the specified deadline and its defense.
Exam: Successful completion of written exam (min 50%).

Course curriculum

1. Operational analysis as a systemic basis for a quantitative approach to decision-making.
2. Introduction to linear programming, process of formulation of linear programming problem.
3. Formulation of mathematical model of linear programming problem.
4. Special types of linear programming problems.
5. Graphical solution of linear programming problems.
6. Linear programming – simplex algorithm.
7. Post-optimality analysis of linear programming problems.
8. Software for modelling linear programming problems.
9. Basic concepts of graph theory and construction of project network graph.
10. Network analysis methods – CPM method (Critical Path Method).
11. Network analysis methods – PERT method (Program Evaluation and Review Technique).
12. Network analysis methods – MPM (Metra Potential Method)
13. Case studies.

Work placements

Not applicable.

Aims

The aim of the course is to acquaint students with selected quantitative methods from the field of operational analysis and their practical application, which strengthens the skills of logical and systems thinking in solving decision problems in economic systems.

Specification of controlled education, way of implementation and compensation for absences

A student’s own work on the tasks assigned is checked.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

ANDERSON, D.R. et al. Quantitative Methods for Business. 13th ed. Boston: Cengage Learning, 2016, 914 p. ISBN-13: 978-1-285-86631-4. (EN)
RAIS, K, DOSTÁL, P. Operational Research. CERM. Brno: CERM Akademické nakladatelství, 2008. 84 p. ISBN: 978-80-214-3437-0 (EN)

Recommended reading

LESTER, A. Project Management, Planning and Control: Managing Engineering, Construction and Manufacturing Projects to PMI, APM and BSI Standards. 6th Edition, Oxford: Butterworth-Heinemann, 2013. 592 p. ISBN 9780080983240. (EN)
MATEO, J.R.S.C. Management Science, Operations Research and Project Management: Modelling, Evaluation, Scheduling, Monitoring. Farnham: Taylor & Francis Group, 2015, 227 p. ISBN 9781472426437. (EN)
YADAV, S.R., MALIK, A.K. Operations Research. New Delhi, India: Oxford University Press, 2014. 691 p. ISBN 978-0-19-809618-4. (EN)

Classification of course in study plans

  • Programme BAK-Z Bachelor's

    branch BAK-Z , 1. year of study, summer semester, elective

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

Operational analysis as a systemic basis for a quantitative approach to decision-making.
2. Introduction to linear programming, process of formulation of linear programming problem.
3. Formulation of mathematical model of linear programming problem.
4. Special types of linear programming problems.
5. Graphical solution of linear programming problems.
6. Linear programming – simplex algorithm.
7. Post-optimality analysis of linear programming problems.
8. Software for modelling linear programming problems.
9. Basic concepts of graph theory and construction of project network graph.
10. Network analysis methods – CPM method (Critical Path Method).
11. Network analysis methods – PERT method (Program Evaluation and Review Technique).
12. Network analysis methods – MPM (Metra Potential Method)
13. Case studies.

Exercise

13 hours, compulsory

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

1. Formulation of mathematical model of linear programming problem.
2. Formulation of mathematical model of linear programming problem.
3. Graphical solution of linear programming problems.
4. Linear programming – simplex algorithm.
5. Network analysis methods – CPM method (Critical Path Method).
6. Network analysis methods – PERT method (Program Evaluation and Review Technique).