Course for international guest/part time students

Faculty
Faculty of Science
Organization
TTK Department of Operations Research
Code
egertp1u0um17em
Title
Integer programming 1 (l)
Usual semester
Autumn
Published semester
2025/26/2
ECTS
3
Language
en
Learning outcomes
Knowledge: getting familiar with the main notions and applications of integer programming Ability: to understand and use mathematical models based on integer programming Attitude: the need to deepen the applied mathematical knowledge, to gain new applied mathematical skills, to develop competencies. Aspiration to apply the mathematical knowledge for a wide range of problems Autonomy and Responsibility: based on the gained knowledge in integer programming, the students are able to decide which tools are the most suitable to solve applied problems
Course content
Basic problem types, modeling techniques. Dynamic programming. LP based branch and bound. Gomory's integer and mixed cut. Corner polyhedra. Heuristic algorithms for the traveling agent problem, approximation results. The Held-Karp bound, methods for its computation. Lagrangian relaxation, column generation. Hilbert bases, unimodularity.
Assessment method
exam

Programmes of the course

Title (code) Lang. Level Mandatory Year ...
Alkalmazott matematikus MSc - Operációkutatás szakirány (TTK-ALKMAT-OPKUT-NMHU) hu 7 1/2
Applied Mathematician (TTK-ALKMAT-NMHU) hu 7 1/2
Applied Mathematician (TTK-ALKMAT-NMEN) en 7 1/2
Erasmus Programme (TTK-ERASMUS-NXXX) en Mandatory
Mathematician (TTK-MATEMAT-NMHU) hu 7 1/2
Mathematician (TTK-MATEMAT-NMEN) en 7 1/2
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