Course detail
Quantitative methods
FP-kvmPAcad. 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
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
1. Successful completion of the semester project within the specified deadline.
2. Successful completion of credit test.
A maximum of 100 points may be obtained with a maximum of 50 points for credit test, 25 points for the semester project and 25 points for an eventual correction test. A minimum of 50 points need to be achieved for the credit.
Examination Requirements:
1. Successful completion of the exam test.
The exam is carried out in writing. For its successful completion it is necessary to reach min. 50% out of a possible score of the exam.
Overall evaluation of the course is based on the results obtained by exam with possible reference to the results obtained during the semester.
Course curriculum
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 – GERT method (Graphical Evaluation and Review Technique).
13. Inventory theory models.
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
GRASSEOVÁ, M. Efektivní rozhodování: analyzování - rozhodování - implementace a hodnocení. Brno: Edika, 2013, 392 s. ISBN 978-80-266-0179-1. (CS)
GROS, I. Kvantitativní metody v manažerském rozhodování. 1. vyd. Praha: Grada Publishing a.s., 2003, 432 s. ISBN 80-247-0421-8. (CS)
JABLONSKÝ, J. Operační výzkum: kvantitativní modely pro ekonomické rozhodování. 3. vyd. Praha: Professional Publishing, 2007, 323 s. ISBN 978-80-86946-44-3. (CS)
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)
PLEVNÝ, M.; ŽIŽKA, M. Modelování a optimalizace v manažerském rozhodování. 2.vyd. Plzeň: Západočeská univerzita v Plzni, 2010, 296 s. ISBN 978-80-7043-933-3. (CS)
ŠUBRT, T. kol. Ekonomicko-matematické metody. 2. upravené vydání. Plzeň: Vydavatelství a nakladatelství Aleš Čeněk, 2015, 331 s. ISBN 978-80-7380-563-0. (CS)
Elearning
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
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 – GERT method (Graphical Evaluation and Review Technique).
13. Inventory theory models.
Exercise
Teacher / Lecturer
Syllabus
2. Graphical solution of linear programming problems.
3. Linear programming – simplex algorithm.
4. Network analysis methods – CPM method (Critical Path Method).
5. Network analysis methods – PERT method (Program Evaluation and Review Technique).
6. Credit test.
Elearning