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Mathematische Methoden der Algorithmik

Semester
Winter 2021/2022
Winter 2022/2023Winter 2020/2021Winter 2019/2020Winter 2018/2019Winter 2017/2018Winter 2016/2017Winter 2015/2016Winter 2014/2015Winter 2013/2014Winter 2012/2013Winter 2011/2012Winter 2010/2011Winter 2009/2010Winter 2008/2009
ProgrammesBusiness Information Systems Master, Computer and Communication Systems Engineering Master, Computer Science Master
IBR GroupALG (Prof. Fekete)
TypeLecture & Exercise
Lecturer
Photo
Dr. Linda Kleist
Wissenschaftliche Mitarbeiterin
kleist[[at]]ibr.cs.tu-bs.de
+49 531 3913114
Room 314
Assistants
Photo
Dr. Phillip Keldenich
Wissenschaftlicher Mitarbeiter
keldenich[[at]]ibr.cs.tu-bs.de
+49 531 3913112
Room 317
Photo
Dr. Dominik Krupke
Wissenschaftlicher Mitarbeiter
krupke[[at]]ibr.cs.tu-bs.de
+49 531 3913112
Room 317
Credits5
Hours2+1+1
Time & Place Lecture: Tuesday, 9:45 - 11:15 am, online, potentially partially in person (SN19.4)
Tutorial and Homework Discussion: Wednesday, 3 - 4:30 p.m., IZ161, potentially partially online
Start Starting dates:
First lecture: 26.10.2021, online
First big tutorial: 27.10.2021, IZ161
First small tutorial: 10.11.2021, IZ161 Time table

Bitte tragt euch vorher auf die Mailingliste ein! Andernfalls verpasst Ihr wichtige Informationen.

Prerequisitesnone
Certificates

Studienleistung: 50 percent of the homework.

''Prüfungsleistung'': Oral or written exam.

Content

The topic is linear and integer programming. Besides the theoretical basics, the students learn to model problems as such programs and how to solve them:

  1. Linear optimization
  2. Simplex algorithm
  3. Duality
  4. Integer optimization
References
  1. Matousek and Gärtner: Understanding and Using Linear Programming (Springer). Dieses Buch ist die von uns empfohlene Begleitliteratur zur Vorlesung.
  2. A. Schrijver: Theory of Linear and Integer Programming, Wiley-Interscience Series in Discrete Mathematics and Optimization, John Wiley & Sons, 1998 (s-tlip-98, BibTeX)
  3. V. Chvátal: Linear Programming, Series of Books in the Mathematical Sciences, W.H. Freeman, 1983 (c-lp-83, BibTeX)
  4. Einführung in die Mathematische Optimierung - Burkard und Zimmermann Freier Zugang im Uni-Netzwerk.
  5. B. Korte and J. Vygen: Combinatorial Optimization: Theory and Algorithms, Algorithms and Combinatorics, Springer, 2005 (kv-cota-05, BibTeX) Dieses Buch ist aber eher als Nachschlagewerk zu betrachten. Für den Einstieg sind obige Bücher vermutlich besser geeignet.
  6. Viele der umfassenden Einstiegswerke für Informatiker enthalten ein Kapitel zu Linear Programming. z.B. Introduction to Algorithms - Cormen et al.

last changed 2021-11-10, 15:03 by Dr. Dominik Krupke

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