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Advanced Methods in Combinatorial and Integer Programming


Advisor: Michael Ritter
ECTS credits: 3


  • June 2nd, 2016: Today's seminar talk will have to be cancelled.
  • Jan 12, 2016: Registration for the seminar will start on TUMOnline on January 18, 2016. Please register no later than January 25, 2016. A second round of registrations will take place afterwards, provided there are places left for the seminar. If you also want to participate in the course Case Studies in Discrete Optimization, please e-mail me at michael.rittertum.de. You will then be given preference for the seminar (provided you actually sign up for the Case Studies until).

Registration for the seminar is mandatory, there is a limited number of participants. Students who also wish to participate in this year's Case Studies in Discrete Optimization will be given priority. Registration for the seminar will start on January 18, 2016 on TUM-Online, please register until January 25, 2016. If you also want to participate in the course Case Studies in Discrete Optimization, please e-mail me at michael.rittertum.de so that I can give you priority on your seminar registration.


While the seminar is geared primarily towards students taking the course "Case Studies in Discrete Optimization" (MA4512) during the summer term 2016, it certainly is open to other participants.

In this seminar, we will study a variety of practically relevant solution techniques for selected problems in combinatorial optimization. Many topics extend techniques discussed in the courses "Combinatorial Optimization" and/or "Discrete Optimization", but we will also study some specific applications and the methods used there in detail. We will stress a thorough development of the theoretical background in addition to application specific aspects.

For students that also take the "Case Studies" course, the seminar topics will be selected to complement the hands-on work that they will focus on in the case studies course. Topics will be selected according to participants' backgrounds and in particular with respect to the projects of the case studies course if applicable.

Talks and Schedule

We will meet at the following times:

Date and Time Room TopicSorted ascending Presenter
Thu, June 2nd, 14:15 MI 02.06.020 Approximations Schemes with an Application to TSP Markus Kellerer
Mon, June 20th, 10:15 MI 00.09.022 Branching Strategies Jens Hönen
Thu, June 9th, 14:15 MI 02.06.020 Heuristics: Evolutionary Algorithms Zou Congyu
Mon, June 13th, 10:15 MI 00.09.022 Lift and Project Alexander Eckl
Wed, June 15th, 14:00 MI 00.09.022 Mixed Integer Programming Martin Sutter
April 14th, 14:15 MI 02.06.020 Organisation, Introduction, Topics Michael Ritter and seminar participants
Mon, May 9th, 10:15 MI 00.09.022 Randomized Algorithms Jakob Gawlikowski
Wed, June 22nd, 14:00 MI 00.09.022 Symmetry Issues in Integer Programming Michael Haberl
Thu, May 12th, 14:15 MI 02.06.020 Vehicle Routing Problems Annika Treyer


  • Mandatory: Combinatorial Optimization MA4502 and/or Discrete Optimization MA3502
  • Advantageous, but not necessary: Case Studies in Discrete Optimization MA4512 (preferably during the summer term of 2016)


  • active learning methods: pdf
  • slides regarding organization: pdf


  • Cook, Cunningham, Pulleyblank, Schrijver: Combinatorial Optimization, Wiley Interscience, 1998.
  • Korte, Vygen: Combinatorial Optimization: Theory and Algorithms, Springer 2002.
  • Papadimitriou, Steiglitz: Combinatorial Optimization, Dover 2001.
  • Schrijver: Combinatorial Optimization. Polyhedra and Efficiency. Springer, 2003.
  • Jünger et al.: 50 Years of Integer Programming 1958-2008. Springer 2010
  • additional literature will be selected according to the topics

Research Unit M9

Department of Mathematics
Boltzmannstraße 3
85748 Garching b. München
phone:+49 89 289-16858
fax:+49 089 289-16859


Prof. Dr. Peter Gritzmann
Applied Geometry and Discrete Mathematics

Prof. Dr. Andreas S. Schulz
Mathematics of Operations Research
(affiliated member of M9)

Prof. Dr. Stefan Weltge
Discrete Mathematics


Jan 25th, 2019
Case Studies 2019: Preliminary Meeting on Wed, Feb 6th, at 16:00 in room MI 03.06.011.