Course detail
Quantitative methods
FP-KVMAcad. year: 2022/2023
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) Active participation in seminars: one unexcused absence per semester permitted. Absences outside the permitted limit must be excused by a doctor, and the teacher has the right to assign a substitute task in the case of such absence.
2) Credit test: max. 30 points, min. 15 points required; one test correction is possible (for students who have not achieved at least 15 points for the first time; points earned from the first test are not counted) respectively replacement of the test (for students who have been excused by a doctor); max. 20 points of correction/ replacement test, min. 10 points required.
3) Semester work: max. 10 points, min. 5 points required.
It is possible to gain a maximum of 40 points from the seminars. The credit is granted for a minimum of 20 points for meeting the conditions of the minimum points limits defined for credit test respectively correction/replacement test and seminar work, while fulfilment of participation in seminars. All three of the above classification conditions must be fulfilled and non-fulfilment of one condition cannot be replaced in any way by another.
Examination requirements:
The examination is in writing (oral examination if necessary). The examination can only be taken by students who have the credit entered in IS and who have applied through IS. The examination contains test and open questions; the maximum number of points available is 60, and in order to pass the examination it is necessary to get at least 30 points.
The resulting mark for the course is the sum of the points from the seminars and the examination according the grade scale ECTS of BUT Study and Examination Regulations:
A: 100 – 90 points
B: 89 – 80 points
C: 79 – 70 points
D: 69 – 60 points
E: 59 – 50 points
F: 49 – 0 points
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 (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)
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Introduction to the linear programming, linear programming problems.
3. Formulation of the linear programming model.
4. Special type of linear programming problems.
5. Linear programming problems – solving methods (graphical, algebraic, software)
6. Post-optimality analysis (Sensitivity analysis).
7. Graph theory – basic concepts.
8. Construction of the network diagram (AOA, AON).
9. Critical Path Method (CPM).
10. Program Evaluation and Review Method (PERT).
11. Project time vs project cost.
12. Analysis of the generalized network diagram.
13. Inventory models.
Exercise
Teacher / Lecturer
Syllabus
2. Special type of linear programming problems.
3. Linear programming problems – solving methods (graphical, algebraic, software)
4. Construction of the network diagram (AOA, AON).
5. Critical Path Method (CPM).
6. Program Evaluation and Review Method (PERT).
7. Credit test