17. 7. 2019  1:13 Bohuslav, pamätný deň - Výročie Deklarácie o zvrchovanosti Slovenskej republiky

# Sylabus předmětu B1-O - Optimization (FCE - WS 2019/2020)

Informačný list          ECTS          Sylabus

Slovenština          Angličtina

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: B1-O
Course unit title: Optimization
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method) seminar 2 hours weekly (on-site method)

Credits allocated: 5

Recommended semester/trimester: Mathematical and Computational Modeling - bachelor (compulsory), 3. semester
Level of study: 1.
Prerequisites for registration: none

Assesment methods:
Elaborating of all assigments during semester.
Obtaining at least 50% points on the exam.

Learning outcomes of the course unit:
Student gets acquainted with optimization algorithms to solve problems of linear, integer linear and quadratic programming. Sensitivity analysis of simplex algorithm will be discussed. Also the basic methods for finding the extrema of nonlinear functions under constraints will be tought.

Course contents:
- Extrema of linear functions in more variables subject to linear
constraints - linear programming.
- Simplex algorithm, dual problem, shadow prices and sensitivity analysis.
- Integer linear programming.
- Extrema of nonlinear functions in more variables subject to (nonlinear
constraints.
- Kuhn-Tucker conditions.

Recommended or required reading:
Basic:
 WINSTON, W. Operations research, applications and algorithms. Boston: Duxbury Press, 1987. 1000 p. KNOR, M. Lineárna a nelineárna optimalizácia. Bratislava: STU v Bratislave, 2009. 98 p. ISBN 978-80-227-3102-7.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 32

ABCDEFX
28,1 %34,4 %6,3 %9,4 %18,8 %3,0 %
Name of lecturer(s): prof. RNDr. Martin Knor, PhD. (examiner, instructor, lecturer, person responsible for course, tutor) - slovak, english
Ing. Alexandra Šipošová, PhD. (instructor) - slovak

Last modification: 28. 2. 2019
Supervisor: prof. RNDr. Martin Knor, PhD. and programme supervisor

Last modification made by Ing. Peter Korčák on 02/28/2019.

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