We plan to hold the course in English.


The lecture introduces optimization methods with a focus on linear and integer linear optimization. In addition, algorithms for network flow problems and nonlinear optimization are covered. The course provides weekly exercises. A solid understanding of linear algebra and analysis is prerequisite.

As in the last year, this course will not be streamed or recorded, but there is a comprehensive set of lecture slides and exercises provided on Moodle.


  • 15.04. Introduction, Tutorials Organization
  • 18.04. Modeling with Linear Programming, Graphical Solution
  • 22.04. Solving Linear Programs, Convexity
  • 25.04. Simplex Algorithm
  • 29.04. Simplex Algorithm in Matrix Notation, Goal-Programming
  • 02.05. No lecture
  • 06.05. Sensitivity Analysis
  • 09.05. No lecture
  • 13.05. No lecture
  • 16.05. Duality Theory, Min-Max Games
  • 20.05. No lecture
  • 23.05. Modeling Integer Problems
  • 27.05. Solving Integer Problems 
  • 30.05. No lecture
  • 31.05. Midterm Exam (for grade bonus)
  • 03.06. Advanced Solution Methods
  • 06.06. Polynomial-Time Solvable Integer Problems: Total Unimodularity, Matroids
  • 10.06. Network Flow Problems
  • 13.06. Traveling Salesperson Problem
  • 17.06. Nonlinear Optimization
  • 20.06. Convex Optimization I
  • 24.06. Convex Optimization II
  • 02.08. Endterm Exam 
  • xx.10. Retake Exam 


  • Moodle course: https://www.moodle.tum.de
  • Teaching materials:
    • The slide deck corresponding to the lecture will be available on Moodle after the lecture. A textbook (see recommendations below) is essential for the course!
  • Place and time:
    • Monday and Thursday, 12:15, Interims II, Hörsaal 2; no live streaming
  • Registration: Registration for the lecture via TUMonline is required to receive access to the teaching materials on Moodle.
  • Exams:
    • Midterm exam (60min) 31.05.2024, 17:00-18:00
      Registration via TUMonline: 03.05.2024 - 24.05.2024
    • Endterm exam (120min) TBD
      Registration via TUMonline: TBD
    • Retake exam (120min) TBD
      Registration via TUMonline: TBD


Two types of tutorials are offered:

  • Central exercise - Thursday 16:15 - 17:45, MI HS 1
    In the central exercise, a teaching assistant discusses solutions to typical problems with students. The central exercise is streamed via TUM-Live.
  • Tutor groups - 12 groups, Tuesday - Friday, MI 01.010.011
    An exercise sheet is published weekly on Moodle. Students solve the sheet in the tutor groups. Suggested solutions are discussed together with a student tutor and then published on Moodle.

Exam & Grade Bonus

  • There will be two exam opportunities (endterm and retake). Both exams are planned as on-site exams. There will be no online exam option.
  • A non-programmable calculator is allowed for the exam.
  • In addition to registering for the lecture and tutorials, you must also register for the exam if you wish to take it.
  • A midterm exam is also offered, which allows you to earn a grade bonus (0.3 grade points). The grade bonus will be included to the exam grade only if you passed the exam.
  • The grade bonus is also valid for the retake exam in the summer semester 2024, but cannot be transferred to future semesters.


  • Winston, A.: Operations Research, Algorithms and Applications, Whiley&Sons, Duxbury Press, 2003. (Physically available in the library.)
  • Domschke, W.; Drexl, A.; Klein, R.; Scholl, A.: Einführung in Operations Research, 5. Auflage, Kap. 1-6, Springer, 2015. (in German, electronically accessible via OPAC)
  • Koop, A.; Moock, H.: Lineare Optimierung – eine anwendungsorientierte Einführung in Operations Research, Springer, 2018.
  • Vanderbei, R.: Linear Programming, 3rd edition, ISOR, 2008.
  • Bertsimas, D.; Tsitsiklis, J.: Introduction to Linear Optimization, Athena Scientific, 1997.
  • Domschke, W.; Drexl, A.; Klein, R.; Scholl, A.: Einführung in Operations Research, 5. Auflage, Kap. 1-6, Springer, 2015.
  • Briskorn, D.: Operations Research, Springer, 2019.
  • Nemhauser, G.; Wolsey, L.: Integer and Combinatorial Optimization, Wiley-Interscience, 1999.
  • General information at ScienceOfBetter.org


Please use the Moodle forum for general questions!
The contact mail below is meant only for personal questions.

Mail: or@dss.cit.tum.de