Course detail

Computing Methods in Optimization Problems

FSI-VOU-A Acad. year: 2025/2026 Summer semester

Learning outcomes of the course unit

Prerequisites

Planned learning activities and teaching methods

Assesment methods and criteria linked to learning outcomes

Course-unit credit: Active participation in the seminars, elaboration of a given project. Examination: Written.
Attendance at seminars is controlled. An absence can be compensated for via solving additional problems.

Language of instruction

English

Aims

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

The study programmes with the given course

Programme B-STR-P: Engineering, Bachelor's
branch AIŘ: Applied Computer Science and Control, 7 credits, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Syllabus

1. Introduction to optimization (basic concepts).
2. Software tools for optimization: languages/enviroments: EXCEL, MATLAB, Julia. The use of solvers.
3. – 5. Optimization problems in engineering, types of optimization models (linear, quadratic, convex, etc.)
6. – 7. Integer programming problems – applications in logistics, scheduling, etc.
8. Linearization, modelling with SOS1 and SOS2 variables.
9. Black-box optimization and optimization within a simulation environment.
10. Dynamic optimization models.
11. – 13. Models with uncertain data – stochastic and robust formulations.

Computer-assisted exercise

39 hours, compulsory

Syllabus

The exercise follows the topics discussed in the lecture. The main focus is on software implementation.