Course detail

Quantitative methods

FP-KVMAcad. year: 2011/2012

The Quantitative Methods course will instruct students on the decision-making theory, modelling, methods of operation research and its applications. The main part of the course focuses on formulating mathematical models of typical linear programming problems and on applying network analysis methods to project management.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

doc. Ing. Radek Doskočil, Ph.D., MSc

Department

Institute of Informatics (ÚI)

Learning outcomes of the course unit

After completing the course, the students will be capable of solving optimization problems and decision-making problems in various application areas.

Prerequisites

Basics of mathematics particularly linear algebra.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

The following conditions have to be met by a student to be given the credit:
1. A successful semestral project has to be submitted by a deadline and presented.
2. Active participation in seminars and partial projects submitted for approval on three dates.
A maximum of 100 points may be obtained with a maximum of 60 points for check tests written during seminars, 15 points for the semestral project and 25 points for a credit test. A minimum of 50 points need to be achieved for the credit.
Requirements of the test: Theoretical knowledge from lectures and its practical applications. The exam consists of a theoretical part and a practical one including problem solving.

Course curriculum

1. Managerial decision-making
2. Systems science
3. Modelling
4. Linear programming
5. Network analysis

Work placements

Not applicable.

Aims

The course aims to acquaint the students with methods of operations research and their applications. Emphasis is placed on formulating the mathematical models of typical linear programming problems and problems of network analysis.

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

A student’s own work on the tasks assigned is checked. In the event of an excused absence from a seminar, a student may be given a substitute condition, which mostly consists of a substitute project assigned.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

DOSKOČIL, R. Kvantitativní metody. 2.vyd. Brno: Akademické nakladatelství CERM, 2019, 260 s. ISBN 978-80-214-5716-4. (CS)

Recommended reading

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)
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)

Classification of course in study plans

  • Programme BAK-MIn Bachelor's

    branch BAK-MIn , 2 year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

1. Introduction to linear programming, linear programming problem formulation workflow.
Formulating a mathematical model of the production programme linear programming problem.
2. Formulating a mathematical model of the distribution problem in linear programming.
3. Formulating a mathematical model of the cutting stock linear programming problem
– other types.
4. Linear programming problem solution – graphical, algebraic methods, software-based
solutions.
5. Project management – introduction, constructing a network graph.
6. Time analysis of edge-weighted deterministic network graphs (CPM).
7. Time analysis of stochastic network graphs (PERT).
8. Producing a timetable from a network graph, analyzing project resources.
9. Time analysis of node-weighted deterministic network graphs (MPM).
10.Time analysis of a generalized graph (GERT).
11.Theory of decision making.
12.System science, mathematical modelling.
13.Practical examples of using methods of operations research.

Exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Radek Doskočil, Ph.D., MSc

Syllabus

1. Introductory information, credit requirements, outlining the contents of the seminar.
2. Formulating a mathematical model of the production programme linear programming problem.
3. Formulating a mathematical model of the distribution problem in linear programming.
4. Formulating a mathematical model of the cutting stock linear programming problem.
5. Formulating a mathematical model of linear programming problems – other types.
Graphical solving of linear programming problems.
6. Check test I.
7. Project management – introduction, setting up a network graph.
8. Time analysis of edge-weighted deterministic network graphs (CPM).
9. Time analysis of stochastic network graphs (PERT).
10.Producing a timetable from a network graph, analyzing project resources.
11.Check test II.
12.Check – PROJECT presentation.
13.Summarizing results, granting credits, substitute credit tests – Check test III.