Popis předmětu - BE4M35KO

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BE4M35KO Combinatorial Optimization
Role:P, PS, PV Rozsah výuky:3P+2C
Katedra:13135 Jazyk výuky:EN
Garanti:  Zakončení:Z,ZK
Přednášející:Hanzálek Z. Kreditů:6
Cvičící:Osob je mnoho Semestr:L

Webová stránka:

https://cw.fel.cvut.cz/wiki/courses/ko/start

Anotace:

The goal is to show the problems and algorithms of combinatorial optimization (often called discrete optimization; there is a strong overlap with the term operations research). Following the courses on linear algebra, graph theory, and basics of optimization, we show optimization techniques based on graphs, integer linear programming, heuristics, approximation algorithms and state space search methods. We focus on application of optimization in stores, ground transportation, flight transportation, logistics, planning of human resources, scheduling in production lines, message routing, scheduling in parallel computers.

Osnovy přednášek:

1. Introduction to Basic Terms of Combinatorial Optimization, Example Applications and a Test of Preliminary Knowledge
2. Integer Linear Programming - Algorithms
3. Problem Formulation by Integer Linear Programming
4. The Shortest Paths. Problem Formulation by Shortest Paths.
5. Problem Formulation by Shortest Paths.
6. Flows and Cuts - Algorithms and Problem Formulation. Test I.
7. Multicommodity network flows
8. Knapsack Problem and Pseudo-polynomial Algorithms
9. Traveling Salesman Problem and Approximation Algorithms
10. Monoprocessor Scheduling
11. Scheduling on Parallel Processors. Test II.
12. Project Scheduling with Time Windows.
13. Constraint Programming.
14. Reserved

Osnovy cvičení:

1. Policy and Individual Project Market
2. Introduction to the Experimental Environment and Optimization Library
3. Integer Linear Programming
4. Individual Project I - Assignment and Problem Classification
5. Traveling Salesman Problem
6. Individual Project II - Related Work and Solution
7. Applications of Network Flows and Cuts
8. Individual Project III - Consultation
9. Test III
10. Scheduling
11. Advanced Methods for Solving Combinatorial Problems
12. Individual Project IV - evaluation and written report
13. Ungraded Assessment
14. Reserved

Literatura:

B. H. Korte and J. Vygen, Combinatorial Optimization: Theory and Algorithms.
Springer, sixth ed., 2018. http://dx.doi.org/10.1007/978-3-662-56039-6
J. Blazevicz, Scheduling Computer and Manufacturing Processes. Springer,
second ed., 2001.
J. Demel, Grafy a jejich aplikace. Academia, second ed., 2015.
https://kix.fsv.cvut.cz/~demel/grafy/gr.pdf

Požadavky:

Optimisation, Discrete mathematics, Logics and graphs

Poznámka:

Rozsah výuky v kombinované formě studia: 21p+6c

Předmět je zahrnut do těchto studijních plánů:

Plán Obor Role Dop. semestr
MEBIO3_2018 Image Processing PS 2
MEBIO2_2018 Medical Instrumentation PV 2
MEOI7_2018 Artificial Intelligence P 2
MEOI9_2018 Data Science P 2
MEOI8_2018 Bioinformatics P 2
MEOI4_2018 Computer Engineering P 2
MEOI3_2018 Computer Graphics P 2
MEOI2_2018 Cyber Security P 2
MEOI1_2018 Human-Computer Interaction P 2
MEOI6_2018 Software Engineering P 2
MEOI5_2018 Computer Vision and Image Processing P 2
MEBIO4_2018 Signal Processing PV 2
MEBIO1_2018 Bioinformatics PS 2

Stránka vytvořena 13.10.2024 07:50:52, semestry: Z/2025-6, Z/2024-5, L/2023-4, L/2024-5, připomínky k informační náplni zasílejte správci studijních plánů Návrh a realizace: I. Halaška (K336), J. Novák (K336)
Za obsah odpovídá: doc. RNDr. Veronika Sobotíková, CSc.